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Singapuram, Lidong Zhou - Computer systems organization -> -1Other Architectures.- Software and its engineering -> -1Software Infrastructure.-1Software Notation and Tools. 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Singapuram, Lidong Zhou - Computer systems organization -> -1Other Architectures.- Software and its engineering -> -1Software Infrastructure.-1Software Notation and Tools. 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Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
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Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
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Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
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[(Jason)-252(Ansel,)-251(Shoaib)-252(K)16(amil,)-252(K)15(alyan)-251(V)80(e)-7(eramachaneni,)-251(Jonathan)-252(Ragan-)]TJ 0.992 0 0 1 71.072 660.224 Tm [(K)20(elle)7(y)60(,)-254(Je\035r)8(e)7(y)-254(Bosb)-10(o)-7(om,)-254(Una-May)-254(O'Reilly)60(,)-254(and)-254(Saman)-254(Amarasinghe)10(.)]TJ 1.02 0 0 1 71.072 650.262 Tm [(Op)-7(entuner:)-333(An)-333(e)7(xtensible)-334(frame)7(w)8(ork)-333(for)-333(pr)8(ogram)-333(autotuning.)-674(In)]TJ /T1_2 7.97 Tf 0 -9.963 TD [(Parallel)-319(A)49(r)8(chite)-7(ctur)8(e)-318(and)-319(Compilation)-319(T)62(e)-7(chniques)-318(\(P)57(A)34(CT\),)-319(2014)-318(23r)7(d)]TJ 1 0 0 1 71.072 630.336 Tm [(International)-250(Confer)8(ence)-250(on)]TJ /T1_1 7.97 Tf [(,)-250(pages)-250(303\025315.)-250(IEEE,)-250(2014.)]TJ -13.366 -9.962 Td ([4])Tj 1.02 0 0 1 71.072 620.374 Tm [(Jer)8(emy)-298(Apple)6(yar)8(d,)-298(T)62(om\341s)-299(K)20(o)-7(cisk\375,)-298(and)-299(P)-11(hil)-299(Blunsom.)-547(Optimizing)]TJ T* [(p)-7(erformance)-279(of)-279(r)7(e)-6(curr)7(ent)-279(neural)-279(netw)8(orks)-279(on)-280(gpus.)]TJ /T1_2 7.97 Tf 172.322 0 Td [(arXiv)-279(Pr)8(eprint)]TJ /T1_1 7.97 Tf (,)Tj 1 0 0 1 71.072 600.448 Tm [(abs/1604.01946,)-250(2016.)]TJ -13.366 -9.962 Td ([5])Tj 0.994 0 0 1 71.072 590.486 Tm [(Shivnath)-252(Babu,)-251(Raje)-7(e)7(v)-252(Motwani,)-252(K)15(amesh)-251(Munagala,)-252(Itaru)-252(Nishizawa,)]TJ 1.02 0 0 1 71.072 580.523 Tm [(and)-280(Jennifer)-279(Widom.)-479(A)11(daptiv)8(e)-280(or)8(dering)-279(of)-280(pip)-7(eline)-7(d)-280(str)8(eam)-280(\033lters.)]TJ T* (In)Tj /T1_2 7.97 Tf 8.776 0 Td [(Pr)8(o)-7(ce)-7(e)-7(dings)-262(of)-262(the)-262(2004)-262(A)33(CM)-262(SIGMOD)-262(international)-262(confer)8(ence)-262(on)]TJ 1 0 0 1 71.072 560.598 Tm [(Management)-250(of)-250(data)]TJ /T1_1 7.97 Tf [(,)-250(pages)-250(407\025418.)-250(A)34(CM,)-250(2004.)]TJ -13.366 -9.963 Td ([6])Tj 1.02 0 0 1 71.072 550.635 Tm [(Tianqi)-269(Chen,)-269(Thierr)-15(y)-269(Mor)8(eau,)-269(Ziheng)-269(Jiang,)-269(Lianmin)-269(Zheng,)-269(Eddie)]TJ -0.226 -9.963 Td [(Y)59(an,)-255(Haichen)-255(Shen,)-255(Meghan)-254(Co)6(wan,)-254(Le)6(yuan)-254(W)58(ang,)-254(Y)38(uw)8(ei)-255(Hu,)-255(Luis)]TJ 0.226 -9.962 Td [(Ceze)10(,)-252(et)-252(al.)]TJ /T1_3 7.97 Tf 1 0 0 1 110.448 530.71 Tm (f)Tj /T1_1 7.97 Tf 1.02 0 0 1 113.923 530.71 Tm [(T)-24(VM)]TJ /T1_3 7.97 Tf 1 0 0 1 131.766 530.71 Tm (g)Tj /T1_1 7.97 Tf 1.02 0 0 1 135.241 530.71 Tm [(:)-252(An)-252(automate)-7(d)-252(end-to-end)-252(optimizing)-252(compiler)]TJ 0.98 0 0 1 71.072 520.747 Tm [(for)-244(de)-7(ep)-243(learning.)-346(In)]TJ /T1_2 7.97 Tf 68.885 0 Td (13th)Tj /T1_3 7.97 Tf 1 0 0 1 154.546 520.747 Tm (f)Tj /T1_2 7.97 Tf 0.98 0 0 1 158.021 520.747 Tm (USENIX)Tj /T1_3 7.97 Tf 1 0 0 1 183.599 520.747 Tm (g)Tj /T1_2 7.97 Tf 0.98 0 0 1 188.976 520.747 Tm [(Symp)-7(osium)-244(on)-243(Op)-7(erating)-244(Systems)]TJ 1 0 0 1 71.072 510.785 Tm [(Design)-250(and)-250(Implementation)-250(\()]TJ /T1_3 7.97 Tf 92.358 0 Td (f)Tj /T1_2 7.97 Tf 3.474 0 Td (OSDI)Tj /T1_3 7.97 Tf 17.168 0 Td (g)Tj /T1_2 7.97 Tf 5.468 0 Td (18\))Tj /T1_1 7.97 Tf [(,)-250(pages)-250(578\025594,)-250(2018.)]TJ -131.834 -9.963 Td ([7])Tj 1.012 0 0 1 71.072 500.822 Tm [(Sharan)-248(Chetlur)59(,)-248(Cli\035)-248(W)79(o)-7(olle)7(y)59(,)-248(P)-12(hilipp)-7(e)-247(V)59(andermersch,)-248(Jonathan)-247(Co-)]TJ 0.98 0 0 1 71.072 490.859 Tm [(hen,)-176(John)-176(T)20(ran,)-176(Br)-15(yan)-176(Catanzar)8(o)11(,)-177(and)-175(Evan)-176(Shelhamer)60(.)-222(cudnn:)-176(E\034cient)]TJ 1 0 0 1 71.072 480.897 Tm [(primitiv)8(es)-250(for)-250(de)-7(ep)-250(learning.)]TJ /T1_2 7.97 Tf 95.426 0 Td [(arXiv)-250(pr)8(eprint)-250(arXiv:1410.0759)]TJ /T1_1 7.97 Tf [(,)-250(2014.)]TJ -108.792 -9.963 Td ([8])Tj 1.02 0 0 1 71.072 470.934 Tm [(Rui)-258(Costa,)-258(Ioannis)-258(Ale)7(xandr)8(os)-258(A)12(ssael,)-258(Br)8(endan)-258(Shillingfor)7(d,)-258(Nando)]TJ 1.001 0 0 1 71.072 460.971 Tm [(de)-249(Fr)8(eitas,)-249(and)-249(TIm)-249(V)80(ogels.)-359(Cortical)-249(micr)8(o)-7(cir)8(cuits)-249(as)-249(gate)-7(d-r)8(e)-7(curr)8(ent)]TJ 0.98 0 0 1 71.072 451.009 Tm [(neural)-208(netw)8(orks.)-280(In)]TJ /T1_2 7.97 Tf 65.276 0 Td [(A)12(dvances)-208(in)-208(Neural)-208(Information)-207(Pr)8(o)-7(cessing)-208(Systems)]TJ /T1_1 7.97 Tf (,)Tj 1 0 0 1 71.072 441.046 Tm [(pages)-250(272\025283,)-250(2017.)]TJ -13.366 -9.963 Td ([9])Tj 0.998 0 0 1 71.072 431.083 Tm [(Je\035r)8(e)7(y)-251(Dean,)-251(Gr)8(eg)-251(Corrado)10(,)-251(Rajat)-251(Monga,)-251(K)15(ai)-251(Chen,)-250(Matthieu)-251(De)7(vin,)]TJ 1.02 0 0 1 71.072 421.121 Tm [(Mark)-291(Mao)10(,)-292(Andr)8(e)7(w)-291(Senior)58(,)-291(Paul)-292(T)39(ucker)57(,)-291(K)20(e)-291(Y)58(ang,)-291(Quo)-7(c)-291(V)-291(Le)10(,)-291(et)-292(al.)]TJ 0.984 0 0 1 71.072 411.158 Tm [(Large)-253(scale)-253(distribute)-7(d)-254(de)-7(ep)-253(netw)8(orks.)-364(In)]TJ /T1_2 7.97 Tf 136.713 0 Td [(A)12(dvances)-253(in)-253(neural)-253(informa-)]TJ 1 0 0 1 71.072 401.196 Tm [(tion)-250(pr)8(o)-7(cessing)-250(systems)]TJ /T1_1 7.97 Tf [(,)-250(pages)-250(1223\0251231,)-250(2012.)]TJ -17.072 -9.963 Td ([10])Tj 0.98 0 0 1 71.072 391.233 Tm [(Matte)-7(o)-207(Frigo)11(.)-278(A)-206(fast)-207(fourier)-206(transform)-207(compiler)60(.)-277(In)]TJ /T1_2 7.97 Tf 164.533 0 Td [(A)12(cm)-206(sigplan)-207(notices)]TJ /T1_1 7.97 Tf (,)Tj 1 0 0 1 70.873 381.27 Tm [(v)8(olume)-250(34,)-250(pages)-250(169\025180.)-250(A)34(CM,)-250(1999.)]TJ -16.873 -9.962 Td ([11])Tj 1.02 0 0 1 71.072 371.308 Tm [(Scott)-261(Gray)58(.)-409(Op)-7(en)-261(single)-261(and)-260(half)-261(pr)8(e)-7(cision)-261(gemm)-260(implementations,)]TJ 1 0 0 1 71.072 361.345 Tm (2017.)Tj -17.072 -9.963 Td ([12])Tj 1.001 0 0 1 71.072 351.382 Tm [(Ge)-7(o\035r)8(e)7(y)-251(E)-250(Hinton.)-363(Learning)-251(distribute)-7(d)-251(r)8(epr)8(esentations)-250(of)-251(concepts.)]TJ 1.013 0 0 1 71.072 341.42 Tm (In)Tj /T1_2 7.97 Tf 8.662 0 Td [(Pr)8(o)-7(ce)-7(e)-7(dings)-248(of)-248(the)-248(eighth)-248(annual)-247(confer)7(ence)-247(of)-248(the)-248(cognitiv)8(e)-248(science)]TJ 1 0 0 1 71.072 331.457 Tm [(so)-7(ciety)]TJ /T1_1 7.97 Tf [(,)-250(v)8(olume)-250(1,)-250(page)-250(12.)-250(Amherst,)-250(MA,)-250(1986.)]TJ -17.072 -9.963 Td [([13])-500(Nvidia)-250(Inc.)-360(Nvidia)-250(tesla)-250(p100)-250(gpu)-250(accelerator)59(,)-250(2016.)]TJ 0 -9.962 TD ([14])Tj 1.02 0 0 1 71.072 311.532 Tm [(Norman)-246(P)24(.)-246(Jouppi,)-245(Cli\035)-246(Y)70(oung,)-246(Nishant)-245(Patil,)-246(David)-246(Patterson,)-245(Gau-)]TJ 0 -9.963 TD [(rav)-266(A)11(grawal,)-266(Raminder)-266(Bajwa,)-267(Sara)1(h)-267(Bates,)-266(Sur)8(esh)-267(Bhatia,)-266(Nan)-266(Bo-)]TJ 1.007 0 0 1 71.072 291.606 Tm [(den,)-248(Al)-248(Bor)8(chers,)-248(Rick)-248(Bo)7(yle)10(,)-248(Pierr)8(e-luc)-248(Cantin,)-248(Cli\035or)8(d)-248(Chao)10(,)-248(Chris)]TJ 1.004 0 0 1 71.072 281.644 Tm [(Clark,)-248(Jer)8(emy)-249(Coriell,)-248(Mike)-248(Dale)7(y)59(,)-249(Matt)-248(Dau,)-248(Je\035r)8(e)7(y)-249(Dean,)-248(Ben)-248(Gelb)20(,)]TJ 1.02 0 0 1 70.833 271.681 Tm [(T)48(ara)-403(V)58(azir)-403(Ghaemmaghami,)-403(Rajendra)-404(Gottipati,)-403(William)-404(Gulland,)]TJ 0.234 -9.962 Td [(Rob)-10(ert)-319(Hagmann,)-319(C.)-319(Richar)8(d)-319(Ho)10(,)-320(Doug)-319(Hogb)-9(erg,)-320(John)-319(Hu,)-319(Rob)-10(ert)]TJ T* [(Hundt,)-252(Dan)-252(Hurt,)-252(Julian)-253(Ibarz,)-252(A)12(ar)8(on)-252(Ja\035e)7(y)57(,)-252(Alek)-252(Jaw)8(orski,)-252(Ale)7(xan-)]TJ T* [(der)-260(K)15(aplan,)-260(Harshit)-259(Khaitan,)-260(Daniel)-260(Killebr)8(e)7(w)58(,)-260(Andy)-260(K)20(o)-7(ch,)-260(Nav)8(e)-7(en)]TJ 0 -9.962 TD [(Kumar)58(,)-358(Ste)7(v)8(e)-358(Lacy)58(,)-358(James)-358(Laudon,)-358(James)-358(Law)58(,)-358(Diemthu)-357(Le)9(,)-358(Chris)]TJ 0.98 0 0 1 71.072 221.868 Tm [(Lear)-15(y)60(,)-235(Zhuyuan)-235(Liu,)-235(K)55(yle)-235(Lucke)10(,)-235(Alan)-234(Lundin,)-235(Gor)8(don)-235(MacK)20(ean,)-235(A)12(dri-)]TJ 1.02 0 0 1 71.072 211.905 Tm [(ana)-247(Maggior)8(e)10(,)-248(Mair)8(e)-247(Mahony)58(,)-247(Kieran)-247(Miller)58(,)-247(Rahul)-247(Nagarajan,)-248(Ravi)]TJ 0.991 0 0 1 71.072 201.943 Tm [(Narayanaswami,)-252(Ray)-253(Ni,)-252(K)15(athy)-252(Nix,)-252(Thomas)-253(Norrie)10(,)-252(Mark)-252(Omernick,)]TJ 1.005 0 0 1 71.072 191.98 Tm [(Narayana)-249(Penukonda,)-249(Andy)-249(P)-12(helps,)-249(Jonathan)-250(Ross,)-249(Matt)-249(Ross,)-249(Amir)]TJ 0.982 0 0 1 71.072 182.017 Tm [(Salek,)-256(Emad)-257(Samadiani,)-256(Chris)-256(Se)7(v)8(ern,)-256(Gr)8(egor)-15(y)-257(Siziko)7(v)60(,)-256(Matthe)7(w)-256(Snel-)]TJ 0.991 0 0 1 71.072 172.055 Tm [(ham,)-254(Je)-7(d)-254(Souter)60(,)-254(Dan)-254(Steinb)-10(erg,)-254(Andy)-253(Swing,)-254(Mer)8(ce)-7(des)-254(T)49(an,)-253(Gr)8(egor)-15(y)]TJ 0.98 0 0 1 70.833 162.092 Tm [(Thorson,)-240(Bo)-241(Tian,)-240(Horia)-241(T)64(oma,)-240(Erick)-241(T)40(uttle)10(,)-240(Vijay)-241(V)62(asude)7(van,)-241(Richar)8(d)]TJ -0.147 -9.962 Td [(W)61(alter)60(,)-252(W)61(alter)-252(W)61(ang,)-252(Eric)-252(Wilco)7(x,)-252(and)-252(Do)-7(e)-253(Hyun)-252(Y)73(o)-7(on.)-362(In-datacenter)]TJ 0.391 -9.963 Td [(p)-7(erformance)-243(analysis)-244(of)-243(a)-243(tensor)-243(pr)8(o)-7(cessing)-244(unit.)-345(In)]TJ /T1_2 7.97 Tf 170.978 0 Td [(Pr)8(o)-7(ce)-7(e)-7(dings)-243(of)-244(the)]TJ 0.992 0 0 1 71.072 132.204 Tm [(44th)-251(A)51(nnual)-251(International)-250(Symp)-7(osium)-251(on)-250(Computer)-251(A)50(r)9(chite)-8(ctur)9(e)]TJ /T1_1 7.97 Tf 204.381 0 Td [(,)-251(ISCA)]TJ 1 0 0 1 70.434 122.242 Tm [('17,)-250(pages)-250(1\02512,)-250(Ne)7(w)-250(Y)71(ork,)-250(N)-24(Y)44(,)-250(USA,)-250(2017.)-250(A)34(CM.)]TJ -16.434 -9.963 Td ([15])Tj 1.02 0 0 1 71.072 112.279 Tm [(Simon)-1606(Kno)7(wles.)]TJ 105.604 0 Td [(Graphcor)8(e:)-1611(Scaling)-1606(thr)8(ough-)]TJ -105.604 -9.963 Td [(put)-1436(pr)8(o)-7(cessors)-1436(for)-1435(machine)-1436(intelligence)10(.)]TJ /T1_2 7.97 Tf 204.988 0 Td (URL)Tj 1 0 0 1 71.072 92.354 Tm [(https://w)-15(w)-15(w)59(.matr)8(oid.com/scale)-7(dml/2018/simon.p)-7(df)]TJ /T1_1 7.97 Tf (.)Tj 246.883 617.683 Td ([16])Tj 0.98 0 0 1 335.027 710.037 Tm [(Martin)-222(K)21(ong,)-222(Richar)8(d)-222(V)82(eras,)-222(K)21(e)7(vin)-222(Sto)-7(ck,)-222(Franz)-221(Franchetti,)-222(Louis-No\353l)]TJ T* [(Pouchet,)-201(and)-200(Ponnuswamy)-201(Sadayappan.)-267(When)-201(p)-7(olyhe)-7(dral)-201(transforma-)]TJ 0.996 0 0 1 335.027 690.112 Tm [(tions)-250(me)-7(et)-250(simd)-250(co)-7(de)-250(generation.)-360(In)]TJ /T1_2 7.97 Tf 119.12 0 Td [(A)34(CM)-250(Sigplan)-250(Notices)]TJ /T1_1 7.97 Tf [(,)-250(v)8(olume)-250(48,)]TJ 1 0 0 1 335.027 680.149 Tm [(pages)-250(127\025138.)-250(A)34(CM,)-250(2013.)]TJ -17.072 -9.962 Td ([17])Tj 0.988 0 0 1 335.027 670.187 Tm [(Jer)8(emy)-252(Lau,)-252(Matthe)7(w)-252(Arnold,)-252(Michael)-251(Hind,)-252(and)-252(Brad)-252(Calder)59(.)-362(Online)]TJ 0.98 0 0 1 335.027 660.224 Tm [(p)-7(erformance)-211(auditing:)-212(using)-211(hot)-211(optimizations)-212(without)-211(getting)-211(burne)-7(d.)]TJ 1 0 0 1 335.027 650.262 Tm (In)Tj /T1_2 7.97 Tf 8.68 0 Td [(A)34(CM)-250(SIGPLAN)-250(Notices)]TJ /T1_1 7.97 Tf [(,)-250(v)8(olume)-250(41,)-250(pages)-250(239\025251.)-250(A)34(CM,)-250(2006.)]TJ -25.752 -9.963 Td ([18])Tj 1.012 0 0 1 335.027 640.299 Tm [(Chris)-247(Lear)-15(y)-246(and)-247(T)62(o)-7(dd)-247(W)60(ang.)-356(Xla:)-246(T)62(ensor\036o)7(w)58(,)-247(compile)-6(d.)]TJ /T1_2 7.97 Tf 185.096 0 Td [(T)62(ensorF)-12(lo)7(w)]TJ 1 0 0 1 335.027 630.336 Tm [(De)7(v)-250(Summit)]TJ /T1_1 7.97 Tf [(,)-250(2017.)]TJ -17.072 -9.962 Td ([19])Tj 1.02 0 0 1 335.027 620.374 Tm [(Y)59(ann)-657(Le)-7(cunn.)-1853(T)19(raining)-657(with)-657(large)-658(minibatches)-657(is)-657(bad)-657(for)]TJ 0 -9.963 TD [(y)8(our)-695(health.)-695(mor)8(e)-694(imp)-7(ortantly)58(,)-696(it's)-694(bad)-695(for)-695(y)8(our)-695(test)-694(err)8(or)57(.)]TJ T* [(friends)-512(dont)-512(let)-513(friends)-512(use)-512(minibatches)-512(larger)-512(than)-512(32.)]TJ /T1_2 7.97 Tf 204.988 0 Td (URL)Tj 1 0 0 1 335.027 590.486 Tm [(https://twitter)59(.com/yle)-7(cun/status/989610208497360896?lang=en)]TJ /T1_1 7.97 Tf [(,)-250(2018.)]TJ -17.072 -9.963 Td ([20])Tj 0.98 0 0 1 335.027 580.523 Tm [(Dominic)-240(Masters)-239(and)-240(Carlo)-239(Luschi.)-339(Re)7(visiting)-240(small)-239(batch)-240(training)-239(for)]TJ 1 0 0 1 335.027 570.56 Tm [(de)-7(ep)-250(neural)-250(netw)8(orks.)]TJ /T1_2 7.97 Tf 75.246 0 Td (CoRR)Tj /T1_1 7.97 Tf [(,)-250(abs/1804.07612,)-250(2018.)]TJ -92.318 -9.962 Td ([21])Tj 0.98 0 0 1 335.027 560.598 Tm [(Micr)8(osoft.)-327(Real-time)-234(ai:)-234(Micr)9(osoft)-234(announces)-233(pr)8(e)7(vie)7(w)-234(of)-233(pr)8(oje)-7(ct)-234(brain-)]TJ 0.983 0 0 1 334.732 550.635 Tm [(wav)8(e)10(.)]TJ /T1_2 7.97 Tf 21.623 0 Td [(URL)-253(https://blogs.micr)9(osoft.com/ai/build-2018-pr)8(oje)-7(ct-brainwav)8(e/)]TJ /T1_1 7.97 Tf (.)Tj 1 0 0 1 317.955 540.672 Tm ([22])Tj 0.989 0 0 1 335.027 540.672 Tm [(T)64(omas)-255(Mikolo)7(v)60(,)-255(Armand)-254(Joulin,)-254(Sumit)-255(Chopra,)-254(Michael)-255(Mathieu,)-254(and)]TJ 1.012 0 0 1 335.027 530.71 Tm [(Mar)8(c')48(A)34(ur)8(elio)-246(Ranzato)9(.)-354(Learning)-246(longer)-247(memor)-14(y)-247(in)-246(r)8(e)-7(curr)8(ent)-246(neural)]TJ 1 0 0 1 335.027 520.747 Tm [(netw)8(orks.)]TJ /T1_2 7.97 Tf 35.085 0 Td [(arXiv)-250(pr)8(eprint)-250(arXiv:1412.7753)]TJ /T1_1 7.97 Tf [(,)-250(2014.)]TJ -52.157 -9.962 Td ([23])Tj 1.02 0 0 1 335.027 510.785 Tm [(Azalia)-296(Mirhoseini,)-295(Hieu)-296(P)-11(ham,)-296(Quo)-7(c)-295(V)86(.)-296(Le)10(,)-295(Benoit)-296(Steiner)58(,)-296(Rasmus)]TJ 0.98 0 0 1 335.027 500.822 Tm [(Larsen,)-183(Y)40(uefeng)-182(Zhou,)-183(Nav)9(e)-8(en)-182(Kumar)60(,)-182(Mohammad)-183(Nor)8(ouzi,)-182(Samy)-183(Ben-)]TJ T* [(gio)10(,)-240(and)-239(Je\035)-240(Dean.)-339(De)7(vice)-239(placement)-240(optimization)-240(with)-239(r)8(einfor)8(cement)]TJ 1 0 0 1 335.027 480.897 Tm (learning.)Tj /T1_2 7.97 Tf 31.681 0 Td (CoRR)Tj /T1_1 7.97 Tf [(,)-250(abs/1706.04972,)-250(2017.)]TJ -48.753 -9.963 Td ([24])Tj 1.02 0 0 1 335.027 470.934 Tm [(CUD)28(A)-364(Nvidia.)-789(Cublas)-365(librar)-15(y)58(.)]TJ /T1_2 7.97 Tf 108.436 0 Td [(N)-23(VIDIA)-365(Corp)-7(oration,)-365(Santa)-365(Clara,)]TJ 1 0 0 1 335.027 460.971 Tm (California)Tj /T1_1 7.97 Tf [(,)-250(15\(27\):31,)-250(2008.)]TJ -17.072 -9.962 Td ([25])Tj 1.02 0 0 1 335.027 451.009 Tm [(A)12(dam)-303(Paszke)10(,)-303(Sam)-302(Gr)7(oss,)-302(Soumith)-303(Chintala,)-302(and)-303(Gr)8(egor)-15(y)-303(Chanan.)]TJ 0.98 0 0 1 335.027 441.046 Tm [(Pytor)8(ch:)-250(T)64(ensors)-250(and)-250(dynamic)-250(neural)-250(netw)8(orks)-250(in)-250(p)7(ython)-250(with)-250(str)8(ong)]TJ 1 0 0 1 335.027 431.083 Tm [(gpu)-250(acceleration,)-250(2017.)]TJ -17.072 -9.962 Td 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/LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (Session: ) Tj 31.667 0 Td (Machine ) Tj 34.607 0 Td (Learning ) Tj 34.998 0 Td (III) Tj ET endstream endobj 618 0 obj <>>>/Resources 623 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (ASPLOS\22219, ) Tj 46.094 0 Td (April ) Tj 20.417 0 Td (13\22617, ) Tj 25.765 0 Td (2019, ) Tj 20.773 0 Td (Providence, ) Tj 45.018 0 Td (RI, ) Tj 12.269 0 Td (USA) Tj ET endstream endobj 619 0 obj <>>>/Resources 620 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (922) Tj ET endstream endobj 620 0 obj <> endobj 621 0 obj <> endobj 622 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 623 0 obj <> endobj 624 0 obj <> endobj 625 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
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Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
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[(learning.)-320(One)-320(of)-320(the)-320(early)-320(in\036uential)-319(w)7(orks)-319(in)-320(this)-320(space)]TJ 0 -11.956 TD [(is)-382(FFT)-24(W)-381([)]TJ 0.55 1 0 0.15 k 1 0 0 1 97.925 435.068 Tm (10)Tj 0 g 1.02 0 0 1 107.19 435.068 Tm [(],)-382(wher)8(e)-382(the)-382(authors)-382(build)-382(a)-382(frame)7(w)8(ork)-382(for)]TJ -52.147 -11.955 Td [(generating)-390(highly)-390(optimize)-7(d)-390(kernels)-390(for)-391(computing)-390(fast-)]TJ 0.997 0 0 1 54 411.158 Tm [(fourier-transform,)-253(a)-252(p)-7(opular)-253(op)-7(eration)-252(in)-253(signal)-253(pr)9(o)-8(cessing.)]TJ 1.02 0 0 1 54 399.203 Tm [(Halide)-332([)]TJ 0.55 1 0 0.15 k 1 0 0 1 88.172 399.203 Tm (26)Tj 0 g 1.02 0 0 1 97.437 399.203 Tm [(])-332(is)-332(another)-331(compiler)-332(built)-332(for)-332(generating)-331(opti-)]TJ 1.013 0 0 1 54 387.248 Tm [(mize)-7(d)-247(implementations)-248(of)-248(image)-247(pr)8(o)-7(cessing)-248(kernels.)-247(Mor)8(e)]TJ 1.02 0 0 1 54 375.293 Tm 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[(whole)-248(\()-12(large\))-247(pr)8(ogram)-248(as)-248(opp)-7(ose)-7(d)-247(to)-248(sp)-7(e)-7(ci\033c)-247(small)-248(kernels,)]TJ 1.02 0 0 1 54 243.786 Tm [(and)-263(hence)-264(ne)-7(e)-7(ds)-263(a)-263(mor)8(e)-264(scalable)-263(appr)8(oach)-264(to)-263(space)-264(e)7(xplo-)]TJ 0.99 0 0 1 54 231.831 Tm [(ration)-252(and)-251(r)8(easoning)-252(ab)-10(out)-252(con\036icting)-251(optimization)-252(choices)]TJ 1 0 0 1 54 219.875 Tm [(at)-250(the)-250(whole)-250(graph)-250(granularity)59(.)]TJ 0.98 0 0 1 63.963 207.92 Tm [(The)-202(appr)8(oach)-202(of)-203(adaptation)-202(to)-202(driv)8(e)-202(optimization)-202(has)-203(b)-10(e)-7(en)]TJ 1.02 0 0 1 54 195.965 Tm [(trie)-7(d)-323(in)-324(the)-323(form)-323(of)-324(autotuning)-323(algorithms)-324(in)-323(the)-324(ar)8(ea)-323(of)]TJ 0 -11.955 TD [(scienti\033c)-323(computation.)-324(The)-323(Halide)-324(Op)-7(enT)39(uner)-324([)]TJ 0.55 1 0 0.15 k 1 0 0 1 256.715 184.01 Tm (3)Tj 0 g 1.02 0 0 1 261.348 184.01 Tm [(])-323(uses)-324(a)]TJ -203.282 -11.955 Td [(genetic)-288(algorithm)-287(to)-288(p)-7(erform)-287(mutations)-288(on)-288(the)-287(generate)-7(d)]TJ 0.98 0 0 1 54 160.1 Tm [(co)-7(de)-250(and)-249(uses)-249(measur)8(ement)-250(to)-249(de)-7(cide)-250(the)-249(b)-10(est)-250(variant)-249(of)-249(the)]TJ 0 -11.956 TD [(co)-7(de)10(.)-217(Unlike)-217(Op)-7(enT)40(uner)-217(which)-217(deals)-217(with)-217(a)-217(small)-216(kernel)-217(and)]TJ 0.982 0 0 1 54 136.189 Tm [(hence)-254(can)-254(hop)-7(e)-254(to)-254(conv)8(erge)-254(to)-253(the)-254(optimal)-254(co)-7(de)-254(with)-254(such)-254(a)]TJ 1.004 0 0 1 54 124.234 Tm [(randomize)-7(d)-248(appr)8(oach,)]TJ /T1_2 9.963 Tf 92.934 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.026 0 Td [(deals)-248(with)-248(a)-248(much)-249(larger)-248(state)]TJ 0.98 0 0 1 54 112.279 Tm [(space)10(.)-213(The)-214(ke)7(y)-213(no)7(v)8(elty)-213(in)-213(the)-214(adaptation)-213(appr)8(oach)-213(of)]TJ /T1_2 9.963 Tf 214.68 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 23.679 0 Td (is)Tj 0.995 0 0 1 54 100.324 Tm [(using)-250(\033ne-graine)-7(d)-251(pr)8(o\033ling)-250(and)-251(systems)-250(r)8(easoning)-251(couple)-7(d)]TJ 1.02 0 0 1 53.631 88.369 Tm [(with)-255(static)-254(kno)7(wle)-7(dge)10(,)-255(to)-254(achie)7(v)7(e)-254(aggr)8(essiv)8(e)-255(pruning,)-254(and)]TJ 1.009 0 0 1 317.955 710.037 Tm [(conse)-7(quently)-249(a)-249(mor)8(e)-248(systematic)-249(and)-249(compr)8(ehensiv)8(e)-249(e)7(xplo-)]TJ 1.002 0 0 1 317.955 698.082 Tm [(ration)-249(of)-250(the)-249(state)-250(space)10(.)-249(This)-250(in)-249(turns)-250(allo)7(ws)]TJ /T1_2 9.963 Tf 185.086 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.04 0 Td [(to)-249(scale)]TJ 1 0 0 1 317.955 686.127 Tm [(to)-250(much)-250(larger)-250(co)-7(de)-250(such)-250(as)-250(a)-250(comple)7(x)-250(full)-250(training)-250(job)20(.)]TJ 0.986 0 0 1 327.918 674.172 Tm [(T)-24(VM)-254([)]TJ 0.55 1 0 0.15 k 1 0 0 1 354.661 674.172 Tm (6)Tj 0 g 0.986 0 0 1 359.294 674.172 Tm [(])-254(is)-254(a)-255(r)9(e)-7(cent)-255(system)-254(that)-254(targets)-254(optimizing)-254(DNNs)]TJ 1.02 0 0 1 317.955 662.217 Tm [(using)-376(a)-376(combination)-376(of)-376(kernel)-377(synthesis)-376(and)-376(a)-376(machine-)]TJ 0 -11.955 TD [(learning)-360(appr)8(oach)-359(to)-360(autotuning.)-360(While)-360(T)-23(VM)-360(is)-359(fo)-7(cuse)-7(d)]TJ 0.981 0 0 1 317.955 638.306 Tm [(on)-255(autotuning)-255(kernels,)-256(the)-255(adaptation)-255(in)]TJ /T1_2 9.963 Tf 166.778 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.096 0 Td [(is)-255(end-to-end)]TJ 0.985 0 0 1 317.656 626.351 Tm (\()Tj /T1_2 9.963 Tf [(e)10(.g.)]TJ /T1_1 9.963 Tf [(,)-253(dealing)-254(with)-253(mo)-7(del-wide)-254(memor)-15(y)-253(allo)-7(cation)-254(strategies,)]TJ 0.98 0 0 1 317.955 614.396 Tm [(str)8(eam)-176(assignment)]TJ /T1_2 9.963 Tf 77.322 0 Td (etc.)Tj /T1_1 9.963 Tf [(\).)-177(Further)61(,)-177(T)-24(VM)-176(is)-177(targete)-7(d)-176(at)-176(infer)8(ence)]TJ 1.02 0 0 1 317.955 602.441 Tm [(and)-255(do)-6(esn't)-255(handle)-255(training)-254(of)-255(DNNs,)-254(which)]TJ /T1_2 9.963 Tf 182.683 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.092 0 Td (targets.)Tj 0.989 0 0 1 317.606 590.486 Tm [(Another)-253(system)-252(that)-253(uses)-253(machine-learning)-252(to)-253(adapt)-253(con\033g-)]TJ 1.006 0 0 1 317.955 578.531 Tm [(urations)-247(is)-248(Go)-7(ogle)24('s)-247(data)-247(placement)-248(mo)-6(del)-248([)]TJ 0.55 1 0 0.15 k 1 0 0 1 497.283 578.531 Tm (23)Tj 0 g 1.006 0 0 1 506.549 578.531 Tm [(];)-247(w)8(e)-248(b)-10(elie)7(v)8(e)]TJ 1.02 0 0 1 317.955 566.575 Tm [(the)-313(systems-appr)8(oach)-312(of)]TJ /T1_2 9.963 Tf 103.759 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.669 0 Td [(to)-313(manage)-312(the)-313(state)-312(space)]TJ -128.427 -11.955 Td [(is)-304(simpler)-304(to)-304(r)8(eason)-304(ab)-10(out.)]TJ /T1_2 9.963 Tf 112.468 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.583 0 Td [(can)-304(transpar)8(ently)-304(sp)-7(e)-7(e)-7(d)]TJ -137.051 -11.955 Td [(up)-283(e)7(xe)-7(cution)-284(of)-283(any)-283(unmo)-7(di\033e)-7(d)-283(training)-283(job)-284(that)-283(runs)-283(on)]TJ 1 0 0 1 317.656 530.71 Tm [(T)63(ensor\036o)7(w)-250(and)-250(Py)39(T)63(or)8(ch.)]TJ /T1_3 11.955 Tf 0.299 -27.563 Td [(9)-1000(Conclusion)]TJ /T1_2 9.963 Tf 1.003 0 0 1 317.955 488.203 Tm [(A)12(stra)]TJ /T1_1 9.963 Tf 24.046 0 Td [(addr)8(esses)-250(a)-250(pr)8(essing)-250(ne)-7(e)-7(d)-250(in)-250(machine)-250(learning)-250(e)7(xp)-7(er-)]TJ 1.02 0 0 1 317.955 476.247 Tm [(imentation)-355(to)-354(iterate)-355(fast)-354(on)-355(ne)7(w)-355(mo)-7(del)-354(ar)7(chite)-6(ctur)7(es)-354(in)]TJ 0.99 0 0 1 317.955 464.292 Tm [(or)8(der)-254(to)-253(make)-254(advances.)-254(While)-254(accelerators)-253(such)-254(as)-254(cuDNN)]TJ 1.02 0 0 1 317.955 452.337 Tm [(signi\033cantly)-265(sp)-7(e)-6(e)-7(d)-265(up)-265(training)-265(of)-264(de)-7(ep)-265(learning)-265(jobs,)-264(the)6(y)]TJ 0.985 0 0 1 317.955 440.382 Tm 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Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
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Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
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Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
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680.647995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 276.187 684.234 Td (-)Tj ET q 1 0 0 1 298.0850067 680.647995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 64.929 672.279 Td [(MI-LSTM)-250(\(16\))]TJ ET q 1 0 0 1 132.6349945 668.6920013 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 140.69 672.279 Td (1)Tj ET q 1 0 0 1 153.3769989 668.6920013 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 170.314 672.279 Td (0.98)Tj ET q 1 0 0 1 203.3399963 668.6920013 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_4 9.963 Tf 208.321 672.279 Td [(1.69)-250(\(1.72\))]TJ ET q 1 0 0 1 257.6560059 668.6920013 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 276.187 672.279 Td (-)Tj ET q 1 0 0 1 298.0850067 668.6920013 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 64.929 660.324 Td [(MI-LSTM)-250(\(32\))]TJ ET q 1 0 0 1 132.6349945 656.7369995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 140.69 660.324 Td (1)Tj ET q 1 0 0 1 153.3769989 656.7369995 cm 0.398 w 0 0 m 0 11.955 l S Q BT 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[(SubLSTM)-250(\(32\))]TJ ET q 1 0 0 1 132.6349945 632.8269958 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 140.69 636.413 Td (1)Tj ET q 1 0 0 1 153.3769989 632.8269958 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 170.314 636.413 Td (1.39)Tj ET q 1 0 0 1 203.3399963 632.8269958 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_4 9.963 Tf 208.321 636.413 Td [(1.71)-250(\(1.22\))]TJ ET q 1 0 0 1 257.6560059 632.8269958 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 276.187 636.413 Td (-)Tj ET q 1 0 0 1 298.0850067 632.8269958 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 58.981 624.458 Td [(Stack.)-250(LSTM)-250(\(16\))]TJ ET q 1 0 0 1 132.6349945 620.871994 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 140.69 624.458 Td (1)Tj ET q 1 0 0 1 153.3769989 620.871994 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 170.314 624.458 Td (1.45)Tj ET q 1 0 0 1 203.3399963 620.871994 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_4 9.963 Tf 210.882 624.458 Td [(1.45)-250(\(1.0\))]TJ ET q 1 0 0 1 257.6560059 620.871994 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 269.826 624.458 Td (1.38)Tj ET q 1 0 0 1 298.0850067 620.871994 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 58.981 612.503 Td [(Stack.)-250(LSTM)-250(\(32\))]TJ ET q 1 0 0 1 132.6349945 608.9170074 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 140.69 612.503 Td (1)Tj ET q 1 0 0 1 153.3769989 608.9170074 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 170.314 612.503 Td (1.41)Tj ET q 1 0 0 1 203.3399963 608.9170074 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_4 9.963 Tf 208.321 612.503 Td [(1.32)-250(\(0.95\))]TJ ET q 1 0 0 1 257.6560059 608.9170074 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 269.826 612.503 Td (0.88)Tj ET q 1 0 0 1 298.0850067 608.9170074 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 70.423 600.548 Td [(GNMT)-250(\(16\))]TJ ET q 1 0 0 1 132.6349945 596.9609985 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 140.69 600.548 Td (1)Tj ET q 1 0 0 1 153.3769989 596.9609985 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 170.314 600.548 Td (1.19)Tj ET q 1 0 0 1 203.3399963 596.9609985 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_4 9.963 Tf 210.882 600.548 Td [(2.0)-250(\(1.68\))]TJ ET q 1 0 0 1 257.6560059 596.9609985 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 269.826 600.548 Td (2.35)Tj ET q 1 0 0 1 298.0850067 596.9609985 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 70.423 588.593 Td [(GNMT)-250(\(32\))]TJ ET q 1 0 0 1 132.6349945 585.0059967 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 140.69 588.593 Td (1)Tj ET q 1 0 0 1 153.3769989 585.0059967 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 170.314 588.593 Td (1.17)Tj ET q 1 0 0 1 203.3399963 585.0059967 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_4 9.963 Tf 208.321 588.593 Td [(1.49)-250(\(1.27\))]TJ ET q 1 0 0 1 257.6560059 585.0059967 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 269.826 588.593 Td (2.23)Tj ET q 1 0 0 1 298.0850067 585.0059967 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_4 9.963 Tf 53.671 573.549 Td [(T)49(able)-249(9.)]TJ /T1_1 9.963 Tf 0.989 0 0 1 90.745 573.549 Tm [(Comparison)-252(of)]TJ /T1_2 9.963 Tf 62.893 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.063 0 Td [(in)-252(T)64(ensor\036o)7(w)-252(with)-252(XLA.)-252(Fac-)]TJ 1.02 0 0 1 54 561.594 Tm [(tor)-319(sp)-7(e)-7(e)-7(dups)-319(r)8(elativ)8(e)-319(to)-319(nativ)7(e)-319(TF)24(.)-319(Relativ)7(e)-319(impr)8(o)7(v)8(ement)]TJ 1 0 0 1 54 549.639 Tm [(fr)8(om)-250(XLA)-250(sho)7(wn)-250(in)-250(parantheses)]TJ 1.02 0 0 1 54 497.714 Tm [(many)-269(of)-269(our)-269(mo)-7(dels)-268(use)-269(emb)-10(e)-7(ddings.)-269(This)-269(suggests)-269(a)-269(fun-)]TJ 0 -11.956 TD [(damental)-275(r)7(obustness)-275(concern)-276(with)-275(static)-275(a)-1(ppr)8(oaches)-275(such)]TJ 0 -11.955 TD [(as)-319(XLA)-318(in)-319(handling)-319(long-tail)-319(scenarios,)-319(which)-318(is)-319(p)-7(erhaps)]TJ 1.015 0 0 1 53.631 461.848 Tm [(why)-246(XLA)-247(is)-246(still)-246(e)7(xp)-7(erimental)-247(e)7(v)8(en)-246(after)-247(2)-246(y)8(ears)-246(of)-247(launch.)]TJ /T1_2 9.963 Tf 1.02 0 0 1 54 449.893 Tm [(A)12(stra)]TJ /T1_1 9.963 Tf 21.556 0 Td [('s)-250(measur)8(ement-base)-7(d)-251(dynamic)-250(adaptation)-250(appr)8(oach)]TJ 0.98 0 0 1 54 437.938 Tm [(enables)-246(turning)-246(o\035)-246(any)-246(optimization)-246(such)-246(as)-247(fusion)-246(at)-246(a)-246(\033ne-)]TJ 0.987 0 0 1 54 425.983 Tm [(graine)-7(d)-253(le)7(v)8(el)-252(\()]TJ /T1_2 9.963 Tf [(e)10(.g.)]TJ /T1_1 9.963 Tf [(,)-253(within)-252(a)-253(sup)-7(er-ep)-7(o)-7(ch\).)-253(Nonetheless,)-252(for)-253(a)]TJ 0.999 0 0 1 54 414.027 Tm [(mor)8(e)-250(insightful)-249(comparison)-250(with)-250(XLA,)-250(w)8(e)-249(e)7(valuate)-250(a)-250(slight)]TJ 1.016 0 0 1 53.751 402.072 Tm [(variant)-245(of)-245(the)-245(mo)-7(dels)-245(with)-245(the)-245(emb)-10(e)-7(dding)-245(op)-7(eration)-245(alone)]TJ 1.02 0 0 1 54 390.117 Tm [(r)8(emo)7(v)8(e)-7(d.)-267(On)-266(nativ)8(e)-266(TF)23(,)-266(the)-266(p)-7(er-minibatch)-266(times)-266(with)-266(and)]TJ 0.981 0 0 1 53.631 378.162 Tm [(without)-254(emb)-10(e)-7(dding)-254(w)8(er)9(e)-254(within)-254(10%)-254(of)-253(each)-254(other)-254(for)-253(many)]TJ 0.987 0 0 1 54 366.207 Tm [(of)-253(the)-253(ab)-11(o)8(v)8(e)-254(mo)-7(dels,)-253(so)-253(these)-253(numb)-10(ers)-254(ar)8(e)-253(meaningful)-253(fr)8(om)]TJ 1 0 0 1 54 354.252 Tm [(a)-250(p)-7(erformance)-250(vie)7(wp)-7(oint.)]TJ 1.02 0 0 1 63.963 342.296 Tm [(T)48(able)]TJ 0.55 1 0 0.15 k 25.644 0 Td (9)Tj 0 g 8.269 0 Td [(sho)7(ws)-364(the)-364(r)8(esults.)-365(For)-365(space)-364(r)8(easons,)-365(w)8(e)-364(only)]TJ -43.68 -11.955 Td [(r)8(ep)-7(ort)-244(numb)-10(ers)-245(with)-244(tw)8(o)-245(mini-batch)-244(sizes:16)-245(&)-244(32.)-244(A)11(s)-244(can)]TJ 1.004 0 0 1 54 318.386 Tm [(b)-10(e)-249(se)-7(en,)]TJ /T1_2 9.963 Tf 1 0 0 1 89.018 318.386 Tm [(A)12(stra)]TJ /T1_3 7.273 Tf 21.681 -1.494 Td [(F)-150(K)]TJ /T1_1 9.963 Tf 1.004 0 0 1 124.124 318.386 Tm [(achie)7(v)8(es)-249(a)-249(sp)-7(e)-7(e)-7(dup)-249(of)-249(up)-249(to)-249(70%)-249(on)-249(top)-249(of)]TJ 1.02 0 0 1 53.671 306.431 Tm [(XLA)-253(and)-254(an)-253(av)8(erage)-254(sp)-7(e)-7(e)-7(d)1(up)-254(of)-253(ab)-10(out)-254(25-30%,)-253(despite)-253(not)]TJ 1 0 0 1 54 294.476 Tm [(supp)-7(orting)-250(multi-str)8(eam)-250(adaptation.)]TJ /T1_4 9.963 Tf 0 -23.791 TD [(6.7)-1000(Discussion)]TJ /T1_1 9.963 Tf 0.98 0 0 1 53.522 255.741 Tm [(W)82(e)-198(hav)8(e)-198(not)-197(r)8(ep)-7(orte)-8(d)-197(accuracy)-198(numb)-10(ers)-198(in)-198(our)-198(e)8(valuation,)-198(as)]TJ 0.988 0 0 1 54 243.786 Tm [(all)-255(optimizations)-254(e)7(xplor)8(e)-7(d)-255(in)-254(this)-255(pap)-7(er)-255(ar)8(e)]TJ /T1_2 9.963 Tf 177.336 0 Td [(value-pr)8(eser)-15(ving)]TJ /T1_1 9.963 Tf 1 0 0 1 54 231.831 Tm [(optimizations)-250(and)-250(thus)-250(do)-250(not)-250(a\035e)-7(ct)-250(accuracy)59(.)]TJ 0.984 0 0 1 63.963 219.875 Tm [(Our)-253(e)7(valuation)-253(has)-253(fo)-8(cuse)-7(d)-253(on)-253(r)8(e)-7(curr)8(ent)-253(neural)-253(netw)8(orks)]TJ 1.02 0 0 1 54 207.92 Tm [(that)-324(ar)8(e)-325(widely)-324(use)-7(d)-324(in)-325(sp)-6(e)-7(e)-7(ch)-324(r)7(e)-6(cognition)-325(and)-324(language)]TJ 1.014 0 0 1 54 195.965 Tm [(understanding)-248(tasks,)-248(and)-248(accor)8(ding)-248(to)-248(Go)-7(ogle)10(,)-248(account)-248(for)]TJ 1.02 0 0 1 54 184.01 Tm [(a)-276(much)-275(larger)-276(fraction)-275(of)-276(pr)8(o)-7(duction)-276(w)8(orkload)-276(than)-275(CNN)]TJ 0.98 0 0 1 54 172.055 Tm [(mo)-7(dels)-251([)]TJ 0.55 1 0 0.15 k 1 0 0 1 88.32 172.055 Tm (14)Tj 0 g 0.98 0 0 1 97.585 172.055 Tm [(].)-251(These)-251(ar)8(e)-251(also)-251(the)-251(mo)-7(dels)-251(that)-251(hav)8(e)-251(the)-251(biggest)]TJ 1.02 0 0 1 54 160.1 Tm [(gap)-255(in)-256(p)-7(erformance)-255(as)-255(the)-256(individual)-255(op)-7(erations)-256(ar)8(e)-255(small.)]TJ 0.997 0 0 1 54 148.144 Tm [(Ho)7(w)8(e)7(v)8(er)59(,)-250(with)-251(faster)-251(har)8(dwar)8(e)10(,)-251(\()]TJ /T1_2 9.963 Tf [(e)10(.g.)]TJ /T1_1 9.963 Tf [(,)-251(the)-250(V)80(olta)-251(GP)-49(Us)-251(run)-251(at)]TJ 1.02 0 0 1 53.771 136.189 Tm [(120)-250(tera\036ops)-249(of)-250(16-bit)-250(pr)8(e)-7(cision)-250(ops)-249([)]TJ 0.55 1 0 0.15 k 1 0 0 1 207.34 136.189 Tm (32)Tj 0 g 1.02 0 0 1 216.605 136.189 Tm [(]\),)-250(e)7(v)8(en)-250(op)-7(erations)]TJ 1.006 0 0 1 54 124.234 Tm [(such)-249(as)-249(conv)8(olution)-249(b)-10(e)-7(come)-249(\020)24(cheap)24(\021)-249(and)-249(hence)-249(w)8(ould)-249(b)-10(en-)]TJ 1.02 0 0 1 54 112.279 Tm [(e\033t)-304(fr)8(om)-303(te)-7(chniques)-304(such)-303(as)-304(cr)8(oss-lay)8(er)-304(fusion)-304(and)-303(using)]TJ 0 -11.955 TD [(multiple)-296(str)8(eams.)-297(This)-296(p)-7(oints)-296(to)-297(a)-296(general)-296(str)7(ength)-296(of)-296(the)]TJ 1.003 0 0 1 54 88.369 Tm [(e)7(xploration)-250(appr)8(oach)-250(that)]TJ /T1_2 9.963 Tf 108.01 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.044 0 Td [(takes.)-250(A)12(s)-250(mo)-7(del)-250(structur)8(es)]TJ 1.02 0 0 1 54 76.413 Tm [(and)-325(GP)-48(U)-325(ar)8(chite)-7(ctur)8(es)-325(e)7(v)7(olv)8(e)10(,)-325(all)-325(one)-325(ne)-7(e)-7(ds)-325(to)-325(do)-325(is)-325(add)]TJ 258.779 633.624 Td [(to)-249(the)-249(librar)-15(y)-249(of)-250(e)7(xploration,)-249(and)-249(mo)-7(dels)-249(get)-249(automatic)-250(r)8(o-)]TJ T* [(bust)-316(sp)-7(e)-7(e)-6(dup)-316(without)-316(any)-316(ne)-7(e)-6(d)-316(for)-316(hand-optimization)-316(or)]TJ 1 0 0 1 317.955 686.127 Tm [(parameter)-250(tuning.)]TJ 0.98 0 0 1 327.918 674.172 Tm [(The)-189(limite)-7(d)-188(numb)-11(er)-188(of)-189(e)7(xploration)-188(dimensions)-189(in)-188(the)]TJ /T1_2 9.963 Tf 213.281 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf -223.447 -11.955 Td [(pr)8(ototyp)-7(e)-225(is)-225(only)-225(illustrativ)8(e;)-225(se)7(v)8(eral)-225(other)-225(dimensions)-225(liste)-7(d)]TJ 1.02 0 0 1 317.955 650.262 Tm [(in)-250(Se)-7(ction)]TJ 0.55 1 0 0.15 k 42.959 0 Td (3.4)Tj 0 g 13.948 0 Td [(naturally)-250(\033t)-250(into)-250(the)]TJ /T1_2 9.963 Tf 84.956 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.044 0 Td [(appr)8(oach.)-250(For)-250(e)7(x-)]TJ 0.987 0 0 1 317.955 638.306 Tm [(ample)10(,)-255(although)-254(the)-255(pr)8(esent)-254(adaptation)-255(dimensions)-254(in)]TJ /T1_2 9.963 Tf 221.709 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 1.02 0 0 1 317.955 626.351 Tm [(deal)-312(with)-312(only)-312(a)-312(single)-312(GP)-48(U)24(,)-312(the)7(y)-312(will)-312(also)-312(b)-10(ene\033t)-312(multi-)]TJ 0.98 0 0 1 317.955 614.396 Tm [(GP)-50(U)-252(jobs)-253(by)-252(running)-252(each)-253(instance)-252(faster)60(.)-252(The)-252(deterministic)]TJ 1.02 0 0 1 317.955 602.441 Tm [(adaptation)-317(asp)-7(e)-7(ct)-317(of)]TJ /T1_2 9.963 Tf 86.484 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.714 0 Td [(can)-317(b)-10(e)-317(e)7(xtende)-7(d)-317(to)-317(e)7(xplor)8(e)-317(di-)]TJ -111.198 -11.955 Td [(mensions)-253(such)-254(as)-253(sp)-7(e)-7(ci\033cs)-253(of)-254(mo)-6(del-partitioning)-254(and)-253(data)]TJ 1.001 0 0 1 317.955 578.531 Tm [(partitioning)-250(in)-249(multi-GP)-49(U)-250(jobs,)-249(but)-250(a)-249(detaile)-7(d)-250(discussion)-250(of)]TJ 1 0 0 1 317.955 566.575 Tm [(those)-250(te)-7(chniques)-250(is)-250(b)-10(e)7(y)8(ond)-250(the)-250(scop)-7(e)-250(of)-250(this)-250(pap)-7(er)59(.)]TJ 0.994 0 0 1 327.918 554.62 Tm [(Our)-251(ke)7(y)-251(contribution)-252(is)-251(the)-251(generic)-251(appr)8(oach)-252(to)-251(navigate)]TJ 1.02 0 0 1 317.955 542.665 Tm [(a)-359(large)-359(state)-358(space)-359(online)10(.)-360(,)60(This)-359(appr)8(oach)-359(is)-359(complemen-)]TJ 1.018 0 0 1 317.955 530.71 Tm [(tar)-15(y)-246(to)-247(the)-247(p)-7(erformance)-247(b)-9(ene\033ts)-247(fr)8(om)-247(kernel)-247(synthesis)-247(ap-)]TJ 1 0 0 1 317.955 518.755 Tm [(pr)8(oaches)-250([)]TJ 0.55 1 0 0.15 k (6)Tj 0 g (,)Tj 0.55 1 0 0.15 k 51.686 0 Td (30)Tj 0 g (].)Tj /T1_4 11.955 Tf 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Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
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Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
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Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
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11.955 l S Q BT /T1_1 9.963 Tf 225.224 648.369 Td (0.93)Tj ET q 1 0 0 1 254.5579987 644.7819977 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 273.164 648.369 Td (1)Tj -198.751 -11.955 Td (256)Tj ET q 1 0 0 1 108.7250061 632.8269958 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 113.706 636.413 Td (0.79)Tj ET q 1 0 0 1 134.7769928 632.8269958 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 152.675 636.413 Td (1)Tj ET q 1 0 0 1 175.2050018 632.8269958 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 185.548 636.413 Td (0.94)Tj ET q 1 0 0 1 211.9799957 632.8269958 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 225.224 636.413 Td (0.94)Tj ET q 1 0 0 1 254.5579987 632.8269958 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 267.435 636.413 Td (1.02)Tj /T1_4 9.963 Tf -213.764 -15.043 Td [(T)49(able)-215(5.)-214(Performance)-215(of)-214(PTB)-215(Stacke)-7(d)-214(LSTM)-215(Mo)-7(del)]TJ /T1_1 9.963 Tf 0.98 0 0 1 279.15 621.37 Tm (Per-)Tj 1 0 0 1 54 609.415 Tm [(formance)-250(r)8(elativ)8(e)-250(to)-250(cuDNN)-250(for)]TJ /T1_2 9.963 Tf 131.696 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf -126.715 -45.53 Td (Mini-batch)Tj ET q 1 0 0 1 108.7250061 560.298996 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 113.711 563.885 Td [(Py)39(T)]TJ ET q 1 0 0 1 134.7769928 560.298996 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 139.758 563.885 Td (cuDNN)Tj ET q 1 0 0 1 175.2050018 560.298996 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_2 9.963 Tf 180.187 563.885 Td [(A)12(stra)]TJ /T1_3 7.273 Tf 21.681 -1.494 Td (F)Tj ET q 1 0 0 1 211.9799957 560.298996 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_2 9.963 Tf 216.961 563.885 Td [(A)12(stra)]TJ /T1_3 7.273 Tf 21.681 -1.494 Td [(F)-150(K)]TJ ET q 1 0 0 1 254.5579987 560.298996 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_2 9.963 Tf 259.54 563.885 Td [(A)12(stra)]TJ /T1_3 7.273 Tf 21.441 -1.612 Td [(a)-39(l)-94(l)]TJ ET q 1 0 0 1 54 560.1000061 cm 0.398 w 0 0 m 242.402 0 l S Q BT /T1_1 9.963 Tf 79.046 551.532 Td (8)Tj ET q 1 0 0 1 108.7250061 547.9450073 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 113.706 551.532 Td (0.19)Tj ET q 1 0 0 1 134.7769928 547.9450073 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 152.675 551.532 Td (1)Tj ET q 1 0 0 1 175.2050018 547.9450073 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 185.548 551.532 Td (0.58)Tj ET q 1 0 0 1 211.9799957 547.9450073 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 225.224 551.532 Td (0.55)Tj ET q 1 0 0 1 254.5579987 547.9450073 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 267.435 551.532 Td (0.65)Tj -190.705 -11.955 Td (16)Tj ET q 1 0 0 1 108.7250061 535.9900055 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 113.706 539.577 Td (0.23)Tj ET q 1 0 0 1 134.7769928 535.9900055 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 152.675 539.577 Td (1)Tj ET q 1 0 0 1 175.2050018 535.9900055 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 185.548 539.577 Td (0.66)Tj ET q 1 0 0 1 211.9799957 535.9900055 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 225.224 539.577 Td (0.59)Tj ET q 1 0 0 1 254.5579987 535.9900055 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 267.435 539.577 Td (0.75)Tj -190.705 -11.956 Td (32)Tj ET q 1 0 0 1 108.7250061 524.0350037 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 116.022 527.621 Td (0.3)Tj ET q 1 0 0 1 134.7769928 524.0350037 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 152.675 527.621 Td (1)Tj ET q 1 0 0 1 175.2050018 524.0350037 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 185.548 527.621 Td (1.54)Tj ET q 1 0 0 1 211.9799957 524.0350037 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 225.224 527.621 Td (1.37)Tj ET q 1 0 0 1 254.5579987 524.0350037 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 267.435 527.621 Td (1.71)Tj -190.705 -11.955 Td (64)Tj ET q 1 0 0 1 108.7250061 512.0800018 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 113.706 515.666 Td (0.23)Tj ET q 1 0 0 1 134.7769928 512.0800018 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 152.675 515.666 Td (1)Tj ET q 1 0 0 1 175.2050018 512.0800018 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 185.548 515.666 Td (0.95)Tj ET q 1 0 0 1 211.9799957 512.0800018 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 225.224 515.666 Td (1.01)Tj ET q 1 0 0 1 254.5579987 512.0800018 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 267.435 515.666 Td (1.17)Tj -193.022 -11.955 Td (128)Tj ET q 1 0 0 1 108.7250061 500.125 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 113.706 503.711 Td (0.26)Tj ET q 1 0 0 1 134.7769928 500.125 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 152.675 503.711 Td (1)Tj ET q 1 0 0 1 175.2050018 500.125 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 187.864 503.711 Td (0.9)Tj ET q 1 0 0 1 211.9799957 500.125 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 225.224 503.711 Td (0.94)Tj ET q 1 0 0 1 254.5579987 500.125 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 273.164 503.711 Td (1)Tj -198.751 -11.955 Td (256)Tj ET q 1 0 0 1 108.7250061 488.1690063 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 113.706 491.756 Td (0.31)Tj ET q 1 0 0 1 134.7769928 488.1690063 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 152.675 491.756 Td (1)Tj ET q 1 0 0 1 175.2050018 488.1690063 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 185.548 491.756 Td (0.87)Tj ET q 1 0 0 1 211.9799957 488.1690063 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 225.224 491.756 Td (0.91)Tj ET q 1 0 0 1 254.5579987 488.1690063 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 267.435 491.756 Td (1.02)Tj /T1_4 9.963 Tf -213.764 -15.044 Td [(T)49(able)-250(6.)-249(Performance)-250(of)-250(GNMT)-250(mo)-7(del)]TJ /T1_1 9.963 Tf 1.004 0 0 1 226.994 476.712 Tm [(Performance)-249(r)8(el-)]TJ 1 0 0 1 54 464.757 Tm [(ativ)8(e)-250(to)-250(cuDNN)-250(for)]TJ /T1_2 9.963 Tf 80.139 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 0.993 0 0 1 54 415.542 Tm [(a)-251(sp)-7(e)-7(e)-7(dup)-252(of)-251(up)-251(to)-252(1.86x.)-251(Also)10(,)-251(while)-252(for)-251(smaller)-251(batch)-251(sizes)]TJ 0.987 0 0 1 54 403.587 Tm [(the)-254(kernel)-253(librar)-15(y)-254(sele)-7(ction)-253(do)-8(esn't)-253(yield)-254(a)-253(b)-10(ene\033t,)-254(it)-253(giv)8(es)-254(a)]TJ 0.98 0 0 1 54 391.631 Tm [(signi\033cant)-200(b)-11(ene\033t)-200(at)-200(batch-size)-200(64.)-201(Finally)60(,)-200(str)8(eam)-200(adaptation)]TJ 1.006 0 0 1 54 379.676 Tm [(pr)8(o)7(vides)-248(15-23%)-247(impr)8(o)7(v)8(ement)-248(on)-248(top)-247(of)-248(GEMM)-247(fusion)-248(and)]TJ 1.02 0 0 1 54 367.721 Tm [(kernel)-273(sele)-6(ction.)-273(T)48(able)]TJ 0.55 1 0 0.15 k 94.127 0 Td (3)Tj 0 g 7.342 0 Td (and)Tj 0.55 1 0 0.15 k 17.714 0 Td (4)Tj 0 g 7.342 0 Td [(sho)6(ws)-272(the)-273(p)-7(erformance)-272(on)]TJ 0.987 0 0 1 54 355.766 Tm [(the)-253(MI-LSTM)-253(mo)-7(del)-253(on)-253(Hutter)-253([)]TJ 0.55 1 0 0.15 k 1 0 0 1 183.018 355.766 Tm (36)Tj 0 g 0.987 0 0 1 192.283 355.766 Tm [(])-253(and)-253(sub-LSTM)-253([)]TJ 0.55 1 0 0.15 k 1 0 0 1 262.854 355.766 Tm (8)Tj 0 g 0.987 0 0 1 267.486 355.766 Tm [(],)-253(with)]TJ 1 0 0 1 54 343.811 Tm [(sp)-7(e)-7(e)-7(dups)-250(up)-250(to)-250(3x.)]TJ /T1_4 9.963 Tf 0 -23.114 TD [(6.3)-1000(Comparison)-250(with)-250(cuDNN)]TJ /T1_1 9.963 Tf 0.986 0 0 1 53.701 305.753 Tm [(T)50(able)]TJ 0.55 1 0 0.15 k 24.518 0 Td (5)Tj 0 g 7.153 0 Td [(sho)7(ws)-252(the)-253(p)-7(erformance)-253(of)]TJ /T1_2 9.963 Tf 108.42 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.071 0 Td [(on)-253(the)-252(PTB)-253(Stacke)-7(d)]TJ 1.014 0 0 1 54 293.798 Tm [(LSTM)-247(mo)-7(del)-248(under)-247(the)-248(\020large)24(\021)-248(con\033guration)-247(\(input)-247(size)-248(of)]TJ 0.992 0 0 1 53.771 281.843 Tm [(1500\).)-253(This)-253(mo)-7(del)-253(is)-253(fully)-253(co)7(v)8(er)8(e)-7(d)-253(by)-253(cuDNN)-253(accelerator)59(,)-253(so)]TJ 1.002 0 0 1 54 269.888 Tm [(it)-249(giv)8(es)-249(a)-249(sense)-248(of)-249(ho)7(w)-249(close)-249(to)-249(the)-249(hand-optimize)-7(d)-248(v)8(ersion)]TJ /T1_2 9.963 Tf 1.02 0 0 1 54 257.933 Tm [(A)12(stra)]TJ /T1_1 9.963 Tf 24.653 0 Td [(p)-7(erforms.)-311(Inter)8(estingly)58(,)]TJ /T1_2 9.963 Tf 98.893 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.653 0 Td [(is)-311(able)-311(to)-311(outp)-7(erform)]TJ -148.199 -11.955 Td [(cuDNN)-356(with)-356(the)-356(str)7(eaming)-356(con\033guration)-356(enable)-7(d,)-356(while)]TJ 1.018 0 0 1 54 234.022 Tm [(nativ)8(e)-247(Py)39(T)62(or)8(ch)-247(is)-246(w)8(orse)10(.)-247(T)48(able)]TJ 0.55 1 0 0.15 k 126.266 0 Td (6)Tj 0 g 7.083 0 Td [(sho)6(ws)-246(the)-246(Go)-7(ogle)-247(Neural)]TJ 0.98 0 0 1 54 222.067 Tm [(Machine)-215(T)20(ranslator)-215([)]TJ 0.55 1 0 0.15 k 1 0 0 1 137.561 222.067 Tm (35)Tj 0 g 0.98 0 0 1 146.826 222.067 Tm [(],)-215(which)-215(is)-215(mostly)-215(co)7(v)8(er)8(e)-7(d)-215(by)-215(cuDNN)]TJ -94.72 -11.955 Td [(e)7(xcept)-206(the)-207(Attention)-206(mo)-7(dule)10(.)]TJ /T1_2 9.963 Tf 119.302 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 23.609 0 Td [(p)-7(erforms)-207(close)-206(to)-207(cuDNN)]TJ 1 0 0 1 54 198.157 Tm [(p)-7(erformance)10(,)-250(outp)-7(erforming)-250(it)-250(in)-250(some)-250(con\033gurations.)]TJ /T1_4 9.963 Tf 0 -23.113 TD [(6.4)-1000(Size)-250(of)-250(e)7(xploration)-250(state)-250(space)]TJ /T1_1 9.963 Tf 1.02 0 0 1 53.701 160.1 Tm [(T)48(able)]TJ 0.55 1 0 0.15 k 24.757 0 Td (7)Tj 0 g 7.372 0 Td [(lists)-275(the)-274(numb)-10(er)-275(of)-275(con\033gurations)-275(e)7(xplor)8(e)-7(d)-275(in)-275(the)]TJ 0.98 0 0 1 53.751 148.144 Tm [(various)-235(mo)-7(dels.)-235(A)12(s)-235(can)-235(b)-11(e)-235(se)-7(en,)-235(the)-235(state)-235(space)-235(is)-235(a)-235(fe)7(w)-235(thou-)]TJ 1 0 0 1 54 136.189 Tm [(sand.)-251(Inter)8(estingly)59(,)-251(as)-251(a)-251(r)8(esult)-251(of)-251(te)-7(chniques)-251(such)-251(as)-251(barrier)]TJ 1.011 0 0 1 54 124.234 Tm [(e)7(xploration)-246(\()17(detaile)-7(d)-246(in)-247(Se)-7(ction)]TJ 0.55 1 0 0.15 k 129.305 0 Td (4.5)Tj 0 g [(\),)-246(the)-246(state)-246(space)-246(for)-246(the)]TJ 0.996 0 0 1 54 112.279 Tm [(GNMT)-252(mo)-7(del)-251(is)-252(similar)-252(to)-252(the)-251(other)-252(mo)-7(dels,)-252(despite)-251(GNMT)]TJ 1.02 0 0 1 54 100.324 Tm [(having)-251(ab)-9(out)-251(8x)-251(mor)8(e)-251(lay)8(ers,)-251(p)-6(ointing)-251(to)-251(the)-250(scalability)-251(of)]TJ 1.012 0 0 1 54 88.369 Tm [(the)-248(e)7(xploration)-247(appr)8(oach.)-248(A)-247(r)7(elate)-6(d)-248(metric)-248(is)-247(the)-248(o)7(v)8(erhead)]TJ 1.003 0 0 1 54 76.413 Tm [(of)-249(pr)8(o\033ling,)-249(as)-249(the)-249(pr)8(o\033ling)-249(in)]TJ /T1_2 9.963 Tf 124.906 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.036 0 Td [(runs)-249(as)-249(part)-249(of)-249(r)8(egular)]TJ 1 0 0 1 380.336 709.539 Tm [(Mo)-7(del)]TJ ET q 1 0 0 1 437.1230011 705.9530029 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 453.828 709.539 Td [(No)10(.)-250(of)-250(con\033gs)]TJ ET q 1 0 0 1 437.1230011 693.9980011 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_2 9.963 Tf 442.104 697.584 Td [(A)12(stra)]TJ /T1_3 7.273 Tf 21.681 -1.494 Td [(F)-150(K)-110(S)]TJ ET q 1 0 0 1 484.1080017 693.9980011 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_2 9.963 Tf 489.09 697.584 Td [(A)12(stra)]TJ /T1_3 7.273 Tf 21.463 -1.612 Td [(A)11(l)-94(l)]TJ ET q 1 0 0 1 526.8320007 693.9980011 cm 0.398 w 0 0 m 0 11.955 l S Q q 1 0 0 1 349.1230011 693.7980042 cm 0.398 w 0 0 m 177.709 0 l S Q BT /T1_1 9.963 Tf 367.758 685.23 Td [(PTB)-250(SCRNN)]TJ ET q 1 0 0 1 437.1230011 681.6439972 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 453.667 685.23 Td (303)Tj ET q 1 0 0 1 484.1080017 681.6439972 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 496.205 685.23 Td (1672)Tj ET q 1 0 0 1 526.8320007 681.6439972 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 354.104 673.275 Td [(PTB)-250(Stacke)-7(d)-250(LSTM)]TJ ET q 1 0 0 1 437.1230011 669.6889954 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 451.35 673.275 Td (1219)Tj ET q 1 0 0 1 484.1080017 669.6889954 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 496.205 673.275 Td (1219)Tj ET q 1 0 0 1 526.8320007 669.6889954 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 373.581 661.32 Td (MI-LSTM)Tj ET q 1 0 0 1 437.1230011 657.7339935 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 451.35 661.32 Td (1191)Tj ET q 1 0 0 1 484.1080017 657.7339935 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 496.205 661.32 Td (1191)Tj ET q 1 0 0 1 526.8320007 657.7339935 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 363.564 649.365 Td [(PTB)-250(SubLSTM)]TJ ET q 1 0 0 1 437.1230011 645.7779999 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 451.35 649.365 Td (3207)Tj ET q 1 0 0 1 484.1080017 645.7779999 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 496.205 649.365 Td (5439)Tj ET q 1 0 0 1 526.8320007 645.7779999 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 379.076 637.41 Td (GNMT)Tj ET q 1 0 0 1 437.1230011 633.822998 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 451.35 637.41 Td (2280)Tj ET q 1 0 0 1 484.1080017 633.822998 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 496.205 637.41 Td (9303)Tj ET q 1 0 0 1 526.8320007 633.822998 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_4 9.963 Tf 317.626 622.366 Td [(T)49(able)-326(7.)-326(Size)-326(of)-325(e)7(xploration)-326(state)-326(space)-326(p)-7(ost-pruning.)]TJ /T1_1 9.963 Tf 0.98 0 0 1 317.955 610.411 Tm [(Each)-255(con\033guration)-255(is)-255(e)7(xplor)8(e)-7(d)-255(in)-255(one)-255(mini-batch)-256(of)-255(training)]TJ 1 0 0 1 346.543 565.214 Tm [(Mo)-7(del)]TJ ET q 1 0 0 1 398.5579987 561.6269989 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 403.539 565.214 Td [(D)-10(ynamic)-250(Graph)]TJ ET q 1 0 0 1 473.6260071 561.6269989 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_2 9.963 Tf 478.608 565.214 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.044 0 Td [(+)-250(bucketing)]TJ ET q 1 0 0 1 555.8529968 561.6269989 cm 0.398 w 0 0 m 0 11.955 l S Q q 1 0 0 1 320.102005 561.4279938 cm 0.398 w 0 0 m 235.751 0 l S Q BT /T1_1 9.963 Tf 337.492 552.86 Td (SCRNN-16)Tj ET q 1 0 0 1 398.5579987 549.2740021 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 433.776 552.86 Td (1)Tj ET q 1 0 0 1 473.6260071 549.2740021 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 506.695 552.86 Td (1.61)Tj ET q 1 0 0 1 555.8529968 549.2740021 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 337.492 540.905 Td (SCRNN-32)Tj ET q 1 0 0 1 398.5579987 537.3179932 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 433.776 540.905 Td (1)Tj ET q 1 0 0 1 473.6260071 537.3179932 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 506.695 540.905 Td (1.43)Tj ET q 1 0 0 1 555.8529968 537.3179932 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 333.771 528.95 Td (subLSTM-16)Tj ET q 1 0 0 1 398.5579987 525.3630066 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 433.776 528.95 Td (1)Tj ET q 1 0 0 1 473.6260071 525.3630066 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 506.695 528.95 Td (2.47)Tj ET q 1 0 0 1 555.8529968 525.3630066 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 333.771 516.995 Td (subLSTM-32)Tj ET q 1 0 0 1 398.5579987 513.4080048 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 433.776 516.995 Td (1)Tj ET q 1 0 0 1 473.6260071 513.4080048 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 506.695 516.995 Td (2.13)Tj ET q 1 0 0 1 555.8529968 513.4080048 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 325.084 505.039 Td [(Stacke)-7(dLSTM-16)]TJ ET q 1 0 0 1 398.5579987 501.4530029 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 433.776 505.039 Td (1)Tj ET q 1 0 0 1 473.6260071 501.4530029 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 506.695 505.039 Td (2.44)Tj ET q 1 0 0 1 555.8529968 501.4530029 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 325.084 493.084 Td [(Stacke)-7(dLSTM-32)]TJ ET q 1 0 0 1 398.5579987 489.4980011 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 433.776 493.084 Td (1)Tj ET q 1 0 0 1 473.6260071 489.4980011 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 506.695 493.084 Td (2.22)Tj ET q 1 0 0 1 555.8529968 489.4980011 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_4 9.963 Tf 317.626 478.041 Td [(T)49(able)-181(8.)-181(Sp)-7(e)-7(e)-7(dup)-182(fr)8(om)]TJ /T1_5 9.963 Tf 100.01 0 Td [(A)12(stra)]TJ /T1_4 9.963 Tf 26.481 0 Td [(buckete)-7(d)-181(adaptation)-181(com-)]TJ -126.162 -11.955 Td [(par)8(e)-7(d)-250(to)-250(dynamic)-250(graphs)-250(in)-250(Nativ)8(e)-250(Py)39(T)63(or)8(ch.)]TJ /T1_1 9.963 Tf 1.004 0 0 1 317.955 415.985 Tm [(training.)-249(The)-249(o)7(v)7(erhead)-249(of)-249(our)-249(pr)8(o\033ling)-249(is)]TJ /T1_6 9.963 Tf 1 0 0 1 487.972 415.985 Tm (<)Tj /T1_7 9.963 Tf 1.004 0 0 1 497.3 415.985 Tm (0)Tj /T1_6 9.963 Tf 1 0 0 1 502.11 415.985 Tm (:)Tj /T1_7 9.963 Tf 1.004 0 0 1 504.77 415.985 Tm (5%)Tj /T1_1 9.963 Tf 13.462 0 Td [(for)-249(all)-249(the)]TJ 1 0 0 1 317.955 404.029 Tm [(mo)-7(dels)-250(e)7(valuate)-7(d.)-250(Hence)-250(it)-250(can)-250(b)-10(e)-250(always)-250(on.)]TJ /T1_4 9.963 Tf 0 -23.334 TD [(6.5)-1000(D)-10(ynamic)-250(graphs)]TJ /T1_1 9.963 Tf 1.02 0 0 1 317.606 365.751 Tm [(A)12(s)-321(discusse)-7(d)-321(in)-321(\237)]TJ 0.55 1 0 0.15 k 74.809 0 Td (5.5)Tj 0 g [(,)-321(variable)-321(shap)-7(e)1(s)-321(of)-321(the)-321(input)-321(tensor)]TJ 0.985 0 0 1 317.706 353.795 Tm [(violate)-254(the)-253(pr)8(e)-7(dictability)-254(assumption)-254(of)]TJ /T1_2 9.963 Tf 162.334 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf (.)Tj /T1_2 9.963 Tf 26.216 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.08 0 Td (handles)Tj 0.98 0 0 1 317.955 341.84 Tm [(such)-239(mo)-7(dels)-238(by)-239(bucketing)-239(the)-238(input)-239(shap)-7(es)-239(into)-238(a)-239(\033xe)-7(d)-239(num-)]TJ 1.018 0 0 1 317.955 329.885 Tm [(b)-10(er)-244(of)-245(buckets,)-244(and)-244(then)-245(p)-6(erforming)-245(adaptation)-244(separately)]TJ 1 0 0 1 317.955 317.93 Tm [(for)-249(each)-249(bucket)-248(con\033guration.)-249(T)49(able)]TJ 0.55 1 0 0.15 k 149.27 0 Td (8)Tj 0 g 7.113 0 Td [(compar)8(es)-249(the)-249(p)-7(erfor-)]TJ 0.98 0 0 1 317.955 305.975 Tm [(mance)-217(of)]TJ /T1_2 9.963 Tf 38.965 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 23.71 0 Td [(with)-217(bucketing,)-216(with)-217(a)-216(pur)8(ely)-217(dynamic)-216(graph)]TJ -62.676 -11.955 Td [(implementation)-229(in)-230(nativ)8(e)-229(Py)40(T)64(or)8(ch.)-230(W)82(e)-229(use)-8(d)-229(5)-229(buckets)-230(in)-229(this)]TJ 0.99 0 0 1 317.955 282.064 Tm [(e)7(xp)-7(eriment,)-254(calibrate)-7(d)-254(on)-254(the)-253(distribution)-254(of)-254(input)-254(sentence)]TJ 0.98 0 0 1 317.955 270.109 Tm [(lengths)-192(in)-193(the)-192(PTB)-192(dataset,)-193(which)-192(r)8(esulte)-7(d)-192(in)-193(buckets)-192(of)-192(input)]TJ 1.01 0 0 1 317.955 258.154 Tm [(lengths)-248(13,18,)-249(24,)-248(30,)-249(and)-248(83.)-249(A)12(s)-248(can)-248(b)-10(e)-249(se)-7(en,)]TJ /T1_2 9.963 Tf 181.71 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.03 0 Td [(b)-10(ene\033ts)]TJ 1.02 0 0 1 317.955 246.199 Tm [(e)7(v)8(en)-336(such)-335(input-variable)-336(mo)-6(dels)-336(by)-335(a)-336(signi\033cant)-335(margin,)]TJ 0.995 0 0 1 317.955 234.244 Tm [(despite)-251(p)-7(erforming)-251(a)-252(small)-251(amount)-251(of)-251(e)7(xtra)-251(computation)-252(as)]TJ 1 0 0 1 317.955 222.289 Tm [(a)-250(r)8(esult)-250(of)-250(mapping)-250(to)-250(the)-250(near)8(est)-250(larger)-250(bucket.)]TJ /T1_4 9.963 Tf 0 -23.335 TD [(6.6)-1000(Comparison)-250(with)-250(XLA)]TJ /T1_1 9.963 Tf 0.993 0 0 1 317.955 184.01 Tm [(In)-253(this)-253(sub-se)-7(ction,)-253(w)8(e)-253(e)7(valuate)-253(the)-254(tensor\036o)7(w)-253(implementa-)]TJ 1.014 0 0 1 317.955 172.055 Tm [(tion)-247(of)]TJ /T1_2 9.963 Tf 29.304 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf [(.)-247(A)12(s)-248(describ)-9(e)-7(d)-247(in)-248(\237)]TJ 0.55 1 0 0.15 k 98.133 0 Td (5.4)Tj 0 g [(,)-247(the)-247(TF)-247(implementation)]TJ 1.02 0 0 1 317.955 160.1 Tm [(do)-7(es)-313(not)-313(supp)-7(ort)-313(str)8(eam)-313(adaptation,)-313(so)-314(w)8(e)-313(only)-313(compar)8(e)]TJ /T1_2 9.963 Tf 1 0 0 1 317.955 148.144 Tm [(A)12(stra)]TJ /T1_3 7.273 Tf 21.681 -1.494 Td [(F)-150(K)]TJ /T1_1 9.963 Tf 0.986 0 0 1 350.571 148.144 Tm [(.)-254(For)-255(each)-254(mo)-7(del,)-254(w)8(e)-255(compar)9(e)-255(with)-254(b)-10(oth)-254(nativ)8(e)-255(T)64(en-)]TJ 0.998 0 0 1 317.955 136.189 Tm [(sor\036o)7(w)-251(v1.8)-251(p)-8(erformance)-251(and)-251(XLA)37(-optimize)-7(d)-251(p)-7(erformance)10(.)]TJ 1.003 0 0 1 317.955 124.234 Tm [(Surprisingly)59(,)-249(w)8(e)-249(notice)-7(d)-248(that)-249(the)-249(XLA)-249(implementation)-249(was)]TJ /T1_2 9.963 Tf 0.98 0 0 1 317.955 112.279 Tm [(w)8(orse)]TJ /T1_1 9.963 Tf 24.638 0 Td [(than)-235(nativ)8(e)-235(tensor\036o)7(w)-235(for)-235(many)-235(of)-235(the)-236(mo)-7(dels)-235(\()]TJ /T1_2 9.963 Tf [(e)10(.g.)]TJ /T1_1 9.963 Tf [(,)-235(3x)]TJ 1.012 0 0 1 317.587 100.324 Tm [(w)8(orse)-246(for)-246(SCRNN,)-247(1.5x)-246(w)8(orse)-246(for)-246(subLSTM\),)-246(which)-246(turne)-7(d)]TJ 0.981 0 0 1 317.955 88.369 Tm [(out)-255(to)-256(b)-10(e)-255(b)-11(e)-7(cause)-255(XLA)-256(handles)]TJ /T1_2 9.963 Tf 128.429 0 Td [(emb)-10(e)-7(ddings)]TJ /T1_1 9.963 Tf 49.193 0 Td [(p)-7(o)-7(orly)60(,)-256(r)9(esulting)]TJ 1.006 0 0 1 317.955 76.413 Tm [(in)-250(multiple)-249(transitions)-250(b)-10(etw)8(e)-7(en)-250(CP)-48(U)-250(and)-249(G)-1(P)-48(U)-250(for)-249(lo)-7(okups;)]TJ ET /QITE_maskingtape BMC 1 g 46.37 733.8 518.3 18.19 re f EMC /Artifact <>BDC q 1 0 0 1 54 755.4614258 cm 0 g /GS0 gs /Fm0 Do Q EMC /Artifact <>BDC q 1 0 0 1 371.2230225 755.4614258 cm 0 g /GS0 gs /Fm1 Do Q EMC /Artifact <>BDC q 1 0 0 1 299.7244873 38.5740509 cm 0 g /GS0 gs /Fm2 Do Q EMC endstream endobj 659 0 obj <>>>/Resources 668 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (Session: ) Tj 31.667 0 Td (Machine ) Tj 34.607 0 Td (Learning ) Tj 34.998 0 Td (III) Tj ET endstream endobj 660 0 obj <>>>/Resources 665 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (ASPLOS\22219, ) Tj 46.094 0 Td (April ) Tj 20.417 0 Td (13\22617, ) Tj 25.765 0 Td (2019, ) Tj 20.773 0 Td (Providence, ) Tj 45.018 0 Td (RI, ) Tj 12.269 0 Td (USA) Tj ET endstream endobj 661 0 obj <>>>/Resources 662 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (919) Tj ET endstream endobj 662 0 obj <> endobj 663 0 obj <> endobj 664 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
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Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
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Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
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9.963 Tf 266.087 708.543 Td [(A)12(stra)]TJ /T1_3 7.273 Tf 21.441 -1.612 Td [(a)-39(l)-94(l)]TJ ET q 1 0 0 1 54 704.7570038 cm 0.398 w 0 0 m 248.949 0 l S Q BT /T1_1 9.963 Tf 79.046 696.189 Td (8)Tj ET q 1 0 0 1 108.7250061 692.6029968 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 119.43 696.189 Td (1)Tj ET q 1 0 0 1 134.7669983 692.6029968 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 145.11 696.189 Td (1.65)Tj ET q 1 0 0 1 171.5420074 692.6029968 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 184.786 696.189 Td (1.65)Tj ET q 1 0 0 1 214.1199951 692.6029968 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 229.568 696.189 Td (2.13)Tj ET q 1 0 0 1 261.1049957 692.6029968 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 273.982 696.189 Td (2.27)Tj -197.252 -11.955 Td (16)Tj ET q 1 0 0 1 108.7250061 680.647995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 119.43 684.234 Td (1)Tj ET q 1 0 0 1 134.7669983 680.647995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 145.11 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108.7250061 656.7369995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 119.43 660.324 Td (1)Tj ET q 1 0 0 1 134.7669983 656.7369995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 145.11 660.324 Td (1.20)Tj ET q 1 0 0 1 171.5420074 656.7369995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 184.786 660.324 Td (1.23)Tj ET q 1 0 0 1 214.1199951 656.7369995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 229.568 660.324 Td (1.42)Tj ET q 1 0 0 1 261.1049957 656.7369995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 273.982 660.324 Td (1.49)Tj -199.569 -11.955 Td (128)Tj ET q 1 0 0 1 108.7250061 644.7819977 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 119.43 648.369 Td (1)Tj ET q 1 0 0 1 134.7669983 644.7819977 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 145.11 648.369 Td (1.03)Tj ET q 1 0 0 1 171.5420074 644.7819977 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 184.786 648.369 Td (1.05)Tj ET q 1 0 0 1 214.1199951 644.7819977 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 229.568 648.369 Td (1.19)Tj ET q 1 0 0 1 261.1049957 644.7819977 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 276.299 648.369 Td (1.2)Tj -201.886 -11.955 Td (256)Tj ET q 1 0 0 1 108.7250061 632.8269958 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 119.43 636.413 Td (1)Tj ET q 1 0 0 1 134.7669983 632.8269958 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 145.11 636.413 Td (0.98)Tj ET q 1 0 0 1 171.5420074 632.8269958 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 184.786 636.413 Td (1.01)Tj ET q 1 0 0 1 214.1199951 632.8269958 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 231.884 636.413 Td (1.1)Tj ET q 1 0 0 1 261.1049957 632.8269958 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 273.982 636.413 Td (1.12)Tj /T1_4 9.963 Tf -220.311 -15.043 Td [(T)49(able)-256(2.)-256(Performance)-256(of)-256(SCRNN)-255(Mo)-7(del)]TJ /T1_1 9.963 Tf 1.02 0 0 1 231.118 621.37 Tm [(Factor)-251(sp)-7(e)-7(e)-6(dup)]TJ 1 0 0 1 54 609.415 Tm [(r)8(elativ)8(e)-250(to)-250(nativ)8(e)-250(Py)39(T)63(or)8(ch)-250(for)]TJ /T1_2 9.963 Tf 121.723 0 Td [(A)12(stra)]TJ /T1_4 9.963 Tf -121.723 -55.943 Td [(5.3)-1000(Element-wise)-250(Fusion)]TJ /T1_1 9.963 Tf 1.004 0 0 1 54 538.528 Tm [(In)-248(addition)-249(to)-248(GEMM)-248(fusion,)]TJ /T1_2 9.963 Tf 119.165 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.028 0 Td [(also)-248(fuses)-249(element-wise)]TJ 1.007 0 0 1 54 526.573 Tm [(op)-7(erations.)-248(In)-248(Py)39(T)62(or)8(ch,)]TJ /T1_2 9.963 Tf 97.016 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.027 0 Td [(picks)-248(the)-248(set)-248(of)-248(op)-7(erations)-248(to)]TJ 0.986 0 0 1 54 514.617 Tm [(fuse)-254(base)-7(d)-254(on)-254(data)-254(dep)-7(endencies,)-254(and)-254(uses)-254(the)-254(e)7(xp)-7(erimental)]TJ 1.007 0 0 1 53.841 502.662 Tm [(JI)-37(T)-248(supp)-7(ort)-248(to)-248(compile)-248(the)-247(fuse)-7(d)-248(op)-7(erations.)-248(In)-248(T)62(ensor\036o)7(w)59(,)]TJ 1 0 0 1 54 490.707 Tm [(the)-250(XLA)-250(frame)7(w)8(ork)-250(is)-250(use)-7(d)-250(for)-250(fusion)-250(and)-250(compilation.)]TJ /T1_4 9.963 Tf 0 -24.795 TD [(5.4)-1000(Limitations)-250(of)-250(the)-250(T)63(ensor\036o)7(w)-250(pr)8(ototyp)-7(e)]TJ /T1_1 9.963 Tf 1.02 0 0 1 54 450.968 Tm [(Our)-397(T)62(ensor\036o)6(w)-397(pr)8(ototyp)-7(e)-397(p)-7(erforms)-397(adaptation)-398(only)-397(for)]TJ 0.98 0 0 1 54 439.013 Tm [(GEMM)-250(fusion)-251(and)-250(GEMM)-251(kernel)-250(sele)-7(ction.)-251(Be)-7(cause)-250(the)-251(lo)7(w-)]TJ 0.989 0 0 1 54 427.058 Tm [(le)7(v)8(el)-253(runtime)-252(of)-253(T)63(ensor\036o)7(w)-252(e)7(xp)-7(e)-7(cts)-253(contiguous)-253(tensors)-253(\()]TJ /T1_2 9.963 Tf [(i.e)10(.)]TJ /T1_1 9.963 Tf (,)Tj 1.02 0 0 1 54 415.102 Tm [(do)-7(es)-317(not)-317(handle)-317(stride)-7(d)-317(access)-317(of)-317(tensors\),)-317(GEMM)-317(fusion)]TJ 0 -11.955 TD [(incurs)-257(additional)-258(tensor)-257(copies,)-257(which)-258(complicates)-257(str)8(eam)]TJ 0.98 0 0 1 54 391.192 Tm [(adaptation)-248(as)-248(it)-249(causes)-248(sup)-7(er-ep)-7(o)-7(ch)-248(and)-249(ep)-7(o)-7(ch)-248(de\033nitions)-248(to)]TJ 1 0 0 1 53.751 379.237 Tm [(var)-15(y)59(.)-250(A)12(ddr)8(essing)-250(this)-250(issue)-250(in)-250(tensor\036o)7(w)-250(is)-250(ongoing)-250(w)8(ork.)]TJ /T1_4 9.963 Tf 0.249 -24.795 Td [(5.5)-1000(Handling)-250(dynamic)-250(graphs)]TJ /T1_1 9.963 Tf 0.985 0 0 1 54 339.498 Tm [(Py)40(T)64(or)8(ch)-253(supp)-7(orts)-253(dynamic)-252(graphs:)-253(dep)-7(ending)-252(on)-253(the)-252(length)]TJ 1.02 0 0 1 54 327.542 Tm [(of)-296(input)-295(\()]TJ /T1_2 9.963 Tf [(e)10(.g.)]TJ /T1_1 9.963 Tf [(,)-296(the)-295(numb)-10(er)-296(of)-295(w)8(or)8(ds)-296(in)-296(input)-295(sentences\),)-296(it)]TJ 0.98 0 0 1 54 315.587 Tm [(generates)-209(a)-209(di\035er)8(ent)-209(graph)-209(that)-209(has)-209(the)-209(right)-209(shap)-7(e)-209(to)-209(accom-)]TJ T* [(mo)-7(date)-234(that)-235(mini-batch.)-234(With)-235(dynamic)-234(graphs,)-234(mini-batches)]TJ 1.017 0 0 1 54 291.677 Tm [(ar)8(e)-246(no)-245(longer)-246(identical)-245(as)-246(the)-245(computation)-246(dep)-7(ends)-245(on)-246(the)]TJ 0.989 0 0 1 54 279.722 Tm [(size)-254(of)-253(the)-254(inputs)-254(within)-253(a)-254(mini-batch.)]TJ /T1_2 9.963 Tf 157.384 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.08 0 Td [(handles)-254(this)-253(by)]TJ 0.995 0 0 1 54 267.767 Tm [(buckete)-7(d)-252(pr)8(o\033ling;)-251(it)-252(bucketizes)-252(the)-252(input)-251(sizes)-252(into)-252(a)-252(small)]TJ 0.98 0 0 1 54 255.811 Tm [(numb)-10(er)-218(of)-219(buckets)-218(\()18(curr)8(ently)-218(5\))-219(and)-218(p)-7(erforms)-218(the)-218(state)-218(space)]TJ 1.014 0 0 1 54 243.856 Tm [(e)7(xploration)-245(indep)-7(endently)-245(within)-245(each)-245(bucket.)-245(The)-245(pr)8(o\033le)]TJ 0.999 0 0 1 54 231.901 Tm [(inde)7(x)-250(ke)7(y)-249(is)-250(also)-249(pr)8(e\033xe)-7(d)-250(by)-249(the)-250(bucket)-250(size)10(,)-249(incr)8(easing)-250(the)]TJ 1.02 0 0 1 54 219.946 Tm [(state)-319(space)-319(by)-320(5x.)-319(T)62(o)-320(av)8(oid)-319(memor)-15(y)-319(r)8(eallo)-7(cation)-319(costs)-319(as)]TJ T* [(the)-279(e)7(xploration)-279(switches)-279(buckets,)]TJ /T1_2 9.963 Tf 139.075 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.334 0 Td [(allo)-7(cates)-279(memor)-14(y)]TJ 0.981 0 0 1 54 196.036 Tm [(corr)8(esp)-7(onding)-254(to)-254(the)-255(largest)-254(bucket)-254(size)-254(and)-255(uses)-254(a)-254(cache)-255(in-)]TJ 0.98 0 0 1 54 184.08 Tm [(de)7(xe)-7(d)-227(by)-226(tensor)-227(shap)-7(e)-226(to)-227(r)8(euse)-226(slices)-227(of)-227(the)-226(r)8(esp)-7(e)-7(ctiv)8(e)-227(tensor)]TJ 1 0 0 1 54 172.125 Tm [(bu\035ers)-250(when)-250(running)-250(for)-250(lo)7(w)8(er-size)-7(d)-250(buckets.)]TJ /T1_4 11.955 Tf 0 -26.787 TD [(6)-1000(Evaluation)]TJ /T1_1 9.963 Tf -0.478 -14.944 Td [(W)80(e)-250(answ)8(er)-250(four)-250(ke)7(y)-250(questions)-250(in)-250(the)-250(e)7(valuation)-250(of)]TJ /T1_2 9.963 Tf 207.222 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 21.554 0 Td (:)Tj /T1_5 9.963 Tf -228.766 -18.115 Td (\017)Tj /T1_1 9.963 Tf 8.936 0 Td [(Ho)7(w)-250(much)-250(do)-7(es)]TJ /T1_2 9.963 Tf 68.394 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.044 0 Td [(sp)-7(e)-7(e)-7(d)-250(up)-250(end-to-end)-250(mo)-7(dels?)]TJ /T1_5 9.963 Tf -101.374 -11.955 Td (\017)Tj /T1_1 9.963 Tf 0.99 0 0 1 62.468 100.324 Tm [(Ho)7(w)-252(close)-253(do)-7(es)]TJ /T1_2 9.963 Tf 65.938 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.07 0 Td [(get)-253(to)-252(hand-optimization)-253(\()18(cuDNN\)?)]TJ /T1_5 9.963 Tf 1 0 0 1 53.532 88.369 Tm (\017)Tj /T1_1 9.963 Tf 8.936 0 Td [(What)-250(is)-250(the)-250(size)-250(of)-250(e)7(xploration)-250(state)-250(space)-250(in)]TJ /T1_2 9.963 Tf 184.1 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 21.554 0 Td (?)Tj /T1_5 9.963 Tf -214.59 -11.956 Td (\017)Tj /T1_1 9.963 Tf 8.936 0 Td [(Ho)7(w)-250(do)-7(es)]TJ /T1_2 9.963 Tf 43.118 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.045 0 Td [(compar)8(e)-250(to)-250(static)-250(optimization)-250(\(XLA)12(\)?)]TJ 193.305 632.13 Td (Mini-batch)Tj ET q 1 0 0 1 372.6799927 704.9559937 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 377.661 708.543 Td [(Py)39(T)]TJ ET q 1 0 0 1 398.7220001 704.9559937 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_2 9.963 Tf 403.704 708.543 Td [(A)12(stra)]TJ /T1_3 7.273 Tf 21.681 -1.494 Td (F)Tj ET q 1 0 0 1 435.496994 704.9559937 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_2 9.963 Tf 440.478 708.543 Td [(A)12(stra)]TJ /T1_3 7.273 Tf 21.681 -1.494 Td [(F)-150(K)]TJ ET q 1 0 0 1 478.0749969 704.9559937 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_2 9.963 Tf 483.056 708.543 Td [(A)12(stra)]TJ /T1_3 7.273 Tf 21.682 -1.494 Td [(F)-150(K)-110(S)]TJ ET q 1 0 0 1 525.0610046 704.9559937 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_2 9.963 Tf 530.042 708.543 Td [(A)12(stra)]TJ /T1_3 7.273 Tf 21.441 -1.612 Td [(a)-39(l)-94(l)]TJ ET q 1 0 0 1 317.9550018 704.7570038 cm 0.398 w 0 0 m 248.949 0 l S Q BT /T1_1 9.963 Tf 343.001 696.189 Td (8)Tj ET q 1 0 0 1 372.6799927 692.6029968 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 383.385 696.189 Td (1)Tj ET q 1 0 0 1 398.7220001 692.6029968 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 409.065 696.189 Td (2.25)Tj ET q 1 0 0 1 435.496994 692.6029968 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 448.741 696.189 Td (2.15)Tj ET q 1 0 0 1 478.0749969 692.6029968 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 493.523 696.189 Td (2.43)Tj ET q 1 0 0 1 525.0610046 692.6029968 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 537.938 696.189 Td (2.43)Tj -197.253 -11.955 Td (16)Tj ET q 1 0 0 1 372.6799927 680.647995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 383.385 684.234 Td (1)Tj ET q 1 0 0 1 398.7220001 680.647995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 409.065 684.234 Td (1.93)Tj ET q 1 0 0 1 435.496994 680.647995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 448.741 684.234 Td (1.93)Tj ET q 1 0 0 1 478.0749969 680.647995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 493.523 684.234 Td (2.15)Tj ET q 1 0 0 1 525.0610046 680.647995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 537.938 684.234 Td (2.13)Tj -197.253 -11.955 Td (32)Tj ET q 1 0 0 1 372.6799927 668.6920013 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 383.385 672.279 Td (1)Tj ET q 1 0 0 1 398.7220001 668.6920013 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 409.065 672.279 Td (1.65)Tj ET q 1 0 0 1 435.496994 668.6920013 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 448.741 672.279 Td (1.68)Tj ET q 1 0 0 1 478.0749969 668.6920013 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 493.523 672.279 Td (1.85)Tj ET q 1 0 0 1 525.0610046 668.6920013 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 537.938 672.279 Td (1.85)Tj -197.253 -11.955 Td (64)Tj ET q 1 0 0 1 372.6799927 656.7369995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 383.385 660.324 Td (1)Tj ET q 1 0 0 1 398.7220001 656.7369995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 409.065 660.324 Td (1.29)Tj ET q 1 0 0 1 435.496994 656.7369995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 448.741 660.324 Td (1.31)Tj ET q 1 0 0 1 478.0749969 656.7369995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 493.523 660.324 Td (1.46)Tj ET q 1 0 0 1 525.0610046 656.7369995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 537.938 660.324 Td (1.46)Tj -199.569 -11.955 Td (128)Tj ET q 1 0 0 1 372.6799927 644.7819977 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 383.385 648.369 Td (1)Tj ET q 1 0 0 1 398.7220001 644.7819977 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 409.065 648.369 Td (1.13)Tj ET q 1 0 0 1 435.496994 644.7819977 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 448.741 648.369 Td (1.15)Tj ET q 1 0 0 1 478.0749969 644.7819977 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 493.523 648.369 Td (1.23)Tj ET q 1 0 0 1 525.0610046 644.7819977 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 537.938 648.369 Td (1.23)Tj -199.569 -11.955 Td (256)Tj ET q 1 0 0 1 372.6799927 632.8269958 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 383.385 636.413 Td (1)Tj ET q 1 0 0 1 398.7220001 632.8269958 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 411.381 636.413 Td (1.2)Tj ET q 1 0 0 1 435.496994 632.8269958 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 448.741 636.413 Td (1.21)Tj ET q 1 0 0 1 478.0749969 632.8269958 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 493.523 636.413 Td (1.28)Tj ET q 1 0 0 1 525.0610046 632.8269958 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 537.938 636.413 Td (1.28)Tj /T1_4 9.963 Tf -220.312 -15.043 Td [(T)49(able)-209(3.)-209(Performance)-209(of)-208(Hutter)-209(MI-LSTM)-209(Mo)-7(del)]TJ /T1_1 9.963 Tf 0.98 0 0 1 533.176 621.37 Tm (Factor)Tj 1 0 0 1 317.955 609.415 Tm [(sp)-7(e)-7(e)-7(dup)-250(r)8(elativ)8(e)-250(to)-250(nativ)8(e)-250(Py)39(T)63(or)8(ch)-250(for)]TJ /T1_2 9.963 Tf 157.888 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf -152.907 -40.747 Td (Mini-batch)Tj ET q 1 0 0 1 372.6799927 565.0809937 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 377.661 568.668 Td [(Py)39(T)]TJ ET q 1 0 0 1 398.7220001 565.0809937 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_2 9.963 Tf 403.704 568.668 Td [(A)12(stra)]TJ /T1_3 7.273 Tf 21.681 -1.495 Td (F)Tj ET q 1 0 0 1 435.496994 565.0809937 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_2 9.963 Tf 440.478 568.668 Td [(A)12(stra)]TJ /T1_3 7.273 Tf 21.681 -1.495 Td [(F)-150(K)]TJ ET q 1 0 0 1 478.0749969 565.0809937 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_2 9.963 Tf 483.056 568.668 Td [(A)12(stra)]TJ /T1_3 7.273 Tf 21.682 -1.495 Td [(F)-150(K)-110(S)]TJ ET q 1 0 0 1 525.0610046 565.0809937 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_2 9.963 Tf 530.042 568.668 Td [(A)12(stra)]TJ /T1_3 7.273 Tf 21.441 -1.613 Td [(a)-39(l)-94(l)]TJ ET q 1 0 0 1 317.9550018 564.8820038 cm 0.398 w 0 0 m 248.949 0 l S Q BT /T1_1 9.963 Tf 343.001 556.314 Td (8)Tj ET q 1 0 0 1 372.6799927 552.727005 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 383.385 556.314 Td (1)Tj ET q 1 0 0 1 398.7220001 552.727005 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 409.065 556.314 Td (2.33)Tj ET q 1 0 0 1 435.496994 552.727005 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 448.741 556.314 Td (2.37)Tj ET q 1 0 0 1 478.0749969 552.727005 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 493.523 556.314 Td (2.79)Tj ET q 1 0 0 1 525.0610046 552.727005 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 543.666 556.314 Td (3)Tj -202.981 -11.955 Td (16)Tj ET q 1 0 0 1 372.6799927 540.7720032 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 383.385 544.359 Td (1)Tj ET q 1 0 0 1 398.7220001 540.7720032 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 409.065 544.359 Td (2.18)Tj ET q 1 0 0 1 435.496994 540.7720032 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 448.741 544.359 Td (2.19)Tj ET q 1 0 0 1 478.0749969 540.7720032 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 493.523 544.359 Td (2.65)Tj ET q 1 0 0 1 525.0610046 540.7720032 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 537.938 544.359 Td (2.75)Tj -197.253 -11.955 Td (32)Tj ET q 1 0 0 1 372.6799927 528.8170013 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 383.385 532.404 Td (1)Tj ET q 1 0 0 1 398.7220001 528.8170013 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 414.793 532.404 Td (2)Tj ET q 1 0 0 1 435.496994 528.8170013 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 448.741 532.404 Td (1.98)Tj ET q 1 0 0 1 478.0749969 528.8170013 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 495.839 532.404 Td (2.3)Tj ET q 1 0 0 1 525.0610046 528.8170013 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 540.254 532.404 Td (2.4)Tj -199.569 -11.956 Td (64)Tj ET q 1 0 0 1 372.6799927 516.8619995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 383.385 520.448 Td (1)Tj ET q 1 0 0 1 398.7220001 516.8619995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 409.065 520.448 Td (1.64)Tj ET q 1 0 0 1 435.496994 516.8619995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 448.741 520.448 Td (1.71)Tj ET q 1 0 0 1 478.0749969 516.8619995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 493.523 520.448 Td (1.85)Tj ET q 1 0 0 1 525.0610046 516.8619995 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 537.938 520.448 Td (1.95)Tj -199.569 -11.955 Td (128)Tj ET q 1 0 0 1 372.6799927 504.9069977 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 383.385 508.493 Td (1)Tj ET q 1 0 0 1 398.7220001 504.9069977 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 409.065 508.493 Td (1.34)Tj ET q 1 0 0 1 435.496994 504.9069977 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 448.741 508.493 Td (1.35)Tj ET q 1 0 0 1 478.0749969 504.9069977 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 493.523 508.493 Td (1.51)Tj ET q 1 0 0 1 525.0610046 504.9069977 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 537.938 508.493 Td (1.54)Tj -199.569 -11.955 Td (256)Tj ET q 1 0 0 1 372.6799927 492.951004 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 383.385 496.538 Td (1)Tj ET q 1 0 0 1 398.7220001 492.951004 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 409.065 496.538 Td (1.18)Tj ET q 1 0 0 1 435.496994 492.951004 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 448.741 496.538 Td (1.17)Tj ET q 1 0 0 1 478.0749969 492.951004 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 493.523 496.538 Td (1.29)Tj ET q 1 0 0 1 525.0610046 492.951004 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_1 9.963 Tf 537.938 496.538 Td (1.29)Tj /T1_4 9.963 Tf -220.312 -15.044 Td [(T)49(able)-176(4.)-177(Performance)-177(of)-176(subLSTM)-176(Mo)-7(del)]TJ /T1_1 9.963 Tf 0.98 0 0 1 498.225 481.494 Tm [(Factor)-180(sp)-7(e)-7(e)-7(dup)]TJ 1 0 0 1 317.955 469.539 Tm [(r)8(elativ)8(e)-250(to)-250(nativ)8(e)-250(Py)39(T)63(or)8(ch)-250(for)]TJ /T1_2 9.963 Tf 121.723 0 Td [(A)12(stra)]TJ /T1_4 9.963 Tf -121.723 -42.839 Td [(6.1)-1000(Exp)-7(erimental)-250(Setup)]TJ /T1_1 9.963 Tf 0.98 0 0 1 317.606 411.756 Tm [(All)-247(e)7(xp)-7(eriments)-247(w)8(er)8(e)-247(run)-247(on)-247(a)-247(single)-246(T)64(esla)-247(P100)-247(GP)-50(U)-247(with)-247(a)]TJ 1.02 0 0 1 317.955 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[(\()17(d\)Stacke)-7(d)-247(LSTM)-247(for)-248(language)-247(mo)-7(delling)-247(on)-247(the)-247(Penn)-247(T)20(r)8(e)-7(e)]TJ 1.02 0 0 1 317.955 340.025 Tm [(Bank)-320(dataset,)-320(\()16(e\))-320(Go)-7(ogle)-320(Neural)-320(Machine)-320(T)20(ranslator)-320([)]TJ 0.55 1 0 0.15 k 1 0 0 1 544.416 340.025 Tm (35)Tj 0 g 1.02 0 0 1 553.681 340.025 Tm (].)Tj 1.013 0 0 1 317.955 328.07 Tm [(Unless)-247(other)-15(wise)-247(sp)-6(e)-7(ci\033e)-7(d,)-247(the)-247(numb)-10(ers)-247(p)-7(ertain)-246(to)-247(our)-247(Py-)]TJ 1.02 0 0 1 317.656 316.115 Tm [(T)62(or)8(ch)-263(implementation)-263(of)]TJ /T1_2 9.963 Tf 104.086 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf [(.)-263(W)79(e)-263(e)7(valuate)-263(these)-263(mo)-7(dels)]TJ -103.793 -11.956 Td [(under)-267(various)-267(mini-batch)-267(sizes,)-267(although)-267(mini-batch)-267(sizes)]TJ 0 -11.955 TD [(ab)-10(o)7(v)8(e)-274(32)-274(ar)8(e)-274(rar)8(ely)-274(use)-7(d)-274(in)-274(e)7(xp)-7(erimental)-274(long-tail)-274(mo)-7(dels)]TJ 1.006 0 0 1 317.955 280.249 Tm (that)Tj /T1_2 9.963 Tf 18.685 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.031 0 Td [(targets,)-248(as)-249(the)7(y)-248(typically)-249(a\035e)-7(ct)-248(accuracy)-249([)]TJ 0.55 1 0 0.15 k 1 0 0 1 530.535 280.249 Tm (19)Tj 0 g 1.006 0 0 1 539.801 280.249 Tm (,)Tj 0.55 1 0 0.15 k 1 0 0 1 544.496 280.249 Tm (20)Tj 0 g 1.006 0 0 1 553.761 280.249 Tm (].)Tj 1.02 0 0 1 317.656 268.294 Tm [(T)62(o)-288(br)8(eak-up)-288(the)-287(b)-10(ene\033ts)-288(of)-287(the)-288(various)-287(parts)-288(of)]TJ /T1_2 9.963 Tf 197.255 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf [(,)-288(w)8(e)]TJ 0.98 0 0 1 317.955 256.339 Tm [(r)8(ep)-7(ort)-195(four)-195(numb)-10(ers)-195(for)]TJ /T1_2 9.963 Tf 97.508 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 21.553 0 Td (:)Tj /T1_2 9.963 Tf 1 0 0 1 438.845 256.339 Tm [(A)12(stra)]TJ /T1_3 7.273 Tf 21.681 -1.495 Td (F)Tj /T1_1 9.963 Tf 0.98 0 0 1 467.561 256.339 Tm [(has)-195(only)-195(GEMM)-195(fusion)]TJ 1.02 0 0 1 317.955 244.384 Tm (adaptation,)Tj /T1_2 9.963 Tf 1 0 0 1 367.279 244.384 Tm [(A)12(stra)]TJ /T1_3 7.273 Tf 21.681 -1.495 Td [(F)-150(K)]TJ /T1_1 9.963 Tf 1.02 0 0 1 402.828 244.384 Tm [(has)-289(GEMM)-288(fusion)-289(and)-289(kernel)-289(adapta-)]TJ 0.986 0 0 1 317.955 232.428 Tm [(tion)-254(enable)-7(d,)]TJ /T1_2 9.963 Tf 1 0 0 1 372.224 232.428 Tm [(A)12(stra)]TJ /T1_3 7.273 Tf 21.681 -1.494 Td [(F)-150(K)-110(S)]TJ /T1_1 9.963 Tf 0.986 0 0 1 411.745 232.428 Tm [(also)-254(has)-254(str)8(eams)-255(enable)-7(d,)-254(and)-254(\033nally)]TJ /T1_2 9.963 Tf 1 0 0 1 317.955 220.473 Tm [(A)12(stra)]TJ /T1_3 7.273 Tf 21.441 -1.612 Td [(a)-39(l)-94(l)]TJ /T1_1 9.963 Tf 1.02 0 0 1 353.025 220.473 Tm [(sho)7(ws)-314(the)-314(p)-7(erformance)-313(with)-314(adaptation)-314(of)-314(mem-)]TJ -34.382 -11.955 Td [(or)-15(y)-307(allo)-7(cation)-307(as)-307(w)8(ell.)-308(All)-307(our)-307(baseline)-308(numb)-10(ers)-307(ar)8(e)-307(with)]TJ 1.019 0 0 1 317.955 196.563 Tm [(standar)8(d)-247(and)-246(e\034cient)-247(libraries)-246(for)-247(tensor)-247(op)-7(erations)-246(\()12(such)]TJ 1.011 0 0 1 317.955 184.608 Tm [(as)-246(cuBlas\).)-246(Py)39(T)62(or)8(ch)-246(0.4)-246(\()17(with)-246(CUD)28(A)-246(v8.0/cuDNN)-245(v6.0\))-246(and)]TJ 0.993 0 0 1 317.656 172.653 Tm [(T)63(ensor\036o)7(w)-251(v)8(ersion)-252(1.8)-251(\()17(with)-251(CUD)29(A)-252(v9.2/cuDNN)-251(v7.0\))-252(w)8(er)8(e)]TJ 1 0 0 1 317.955 160.697 Tm [(use)-7(d)-250(for)-250(the)-250(baseline)-250(measur)8(ements.)]TJ /T1_4 9.963 Tf 0 -21.519 TD [(6.2)-1000(Sp)-7(e)-7(e)-7(dup)-250(in)-250(end-to-end)-250(mo)-7(dels)]TJ /T1_1 9.963 Tf 1.02 0 0 1 317.955 124.234 Tm [(For)-263(each)-263(mo)-7(del,)-263(w)7(e)-263(compar)8(e)-263(\()12(a\))-264(nativ)8(e)-263(implementation)-263(in)]TJ 1 0 0 1 317.955 112.279 Tm [(p)7(y)39(T)63(or)8(ch)-250(\()-12(b\))-250(Pytor)8(ch+cuDNN)-250(wher)8(e)-250(applicable)-250(\()17(c\))]TJ /T1_2 9.963 Tf 203.636 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf (.)Tj 0.98 0 0 1 327.918 100.324 Tm [(T)50(able)]TJ 0.55 1 0 0.15 k 24.498 0 Td (2)Tj 0 g 7.133 0 Td [(sho)7(ws)-251(the)-250(sp)-8(e)-7(e)-7(dups)-251(for)]TJ /T1_2 9.963 Tf 97.861 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.052 0 Td [(under)-251(various)-251(batch)]TJ 1.02 0 0 1 317.955 88.369 Tm [(sizes)-261(on)-261(the)-261(SC-RNN)-261(mo)-7(del)-261([)]TJ 0.55 1 0 0.15 k 1 0 0 1 438.903 88.369 Tm (22)Tj 0 g 1.02 0 0 1 448.168 88.369 Tm [(])-261(normalize)-7(d)-261(to)-261(the)-261(p)-7(erfor-)]TJ 0.98 0 0 1 317.955 76.413 Tm [(mance)-253(of)-252(the)-253(nativ)8(e)-252(Py)40(T)64(or)8(ch.)-252(A)12(s)-253(can)-252(b)-10(e)-253(se)-7(en,)]TJ /T1_2 9.963 Tf 186.099 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.068 0 Td [(pr)8(o)7(vides)]TJ ET /QITE_maskingtape BMC 1 g 46.37 733.8 518.3 18.19 re f EMC /Artifact <>BDC q 1 0 0 1 54 755.4614258 cm 0 g /GS0 gs /Fm0 Do Q EMC /Artifact <>BDC q 1 0 0 1 371.2230225 755.4614258 cm 0 g /GS0 gs /Fm1 Do Q EMC /Artifact <>BDC q 1 0 0 1 299.7244873 38.5740509 cm 0 g /GS0 gs /Fm2 Do Q EMC endstream endobj 673 0 obj <>>>/Resources 682 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (Session: ) Tj 31.667 0 Td (Machine ) Tj 34.607 0 Td (Learning ) Tj 34.998 0 Td (III) Tj ET endstream endobj 674 0 obj <>>>/Resources 679 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (ASPLOS\22219, ) Tj 46.094 0 Td (April ) Tj 20.417 0 Td (13\22617, ) Tj 25.765 0 Td (2019, ) Tj 20.773 0 Td (Providence, ) Tj 45.018 0 Td (RI, ) Tj 12.269 0 Td (USA) Tj ET endstream endobj 675 0 obj <>>>/Resources 676 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (918) Tj ET endstream endobj 676 0 obj <> endobj 677 0 obj <> endobj 678 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 679 0 obj <> endobj 680 0 obj <> endobj 681 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 682 0 obj <> endobj 683 0 obj <> endobj 684 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 685 0 obj <> endobj 686 0 obj <>stream BT /T1_0 9.963 Tf 53.691 737.534 Td [(A)12(stra:)-292(Exploiting)-250(Pr)8(e)-7(dictability)-250(to)-250(Optimize)-250(De)-7(ep)-250(Learning)]TJ 294.963 0 Td [(ASPLOS)-250(`19,)-250(April)-250(13\02517,)-250(2019,)-250(Pr)8(o)7(vidence)10(,)-250(RI,)-250(USA)]TJ /T1_1 9.963 Tf 0.98 0 0 1 54 710.037 Tm [(of)-211(that)-211(no)-7(de)10(,)-211(and)-211(of)-211(all)-211(its)-210(childr)8(en.)-212(After)-210(up)-8(dating)-211(the)-210(pr)8(o\033le)]TJ 0 -11.955 TD [(inde)7(x,)-227(the)-227(custom)-226(wir)8(er)-227(inv)8(okes)-227(the)-227(iterate\(\))-227(interface)-226(on)-227(the)]TJ 1.014 0 0 1 54 686.127 Tm [(top-le)7(v)8(el)-248(adaptiv)8(e)-248(variables)-247(to)-248(driv)8(e)-248(e)7(xploration)-248(accor)8(ding)]TJ 1 0 0 1 54 674.172 Tm [(to)-250(the)-250(e)7(xploration)-250(mo)-7(de)-250(annotate)-7(d)-250(in)-250(the)-250(adaptiv)8(e)-250(variable)10(.)]TJ 0.988 0 0 1 63.963 662.217 Tm [(Some)-253(no)-7(des)-253(in)-253(the)-253(up)-8(date)-253(tr)8(e)-7(e)-253(ar)8(e)-253(constraine)-7(d)-253(by)-253(the)-253(val-)]TJ 1.004 0 0 1 54 650.262 Tm [(ues)-249(of)-249(other)-248(no)-7(des.)-249(For)-249(e)7(xample)10(,)-249(fusion)-248(gr)8(oups)-249(can)-249(only)-249(b)-10(e)]TJ 1.02 0 0 1 54 638.306 Tm [(iterate)-7(d)-300(thr)7(ough)-300(the)-301(fuse)-7(d)-300(tensors)-301(that)-300(ar)8(e)-301(pr)8(esent)-301(in)-300(the)]TJ T* [(curr)8(ent)-293(allo)-7(cation)-293(strategy)58(.)-294(The)-293(ke)7(ys)-293(of)-293(the)-293(con\033guration)]TJ 1.017 0 0 1 53.631 614.396 Tm [(which)-246(constrain)-246(a)-246(no)-7(de)-246(forms)-245(the)]TJ /T1_2 9.963 Tf 138.972 0 Td [(conte)7(xt)]TJ /T1_1 9.963 Tf 30.715 0 Td [(of)-246(a)-246(no)-7(de)10(.)-246(While)]TJ 0.984 0 0 1 54 602.441 Tm [(up)-7(dating)-255(the)-255(pr)8(o\033le)-254(inde)7(x,)-255(each)-255(adaptiv)8(e)-255(variable)-254(maintains)]TJ 0.98 0 0 1 54 590.486 Tm [(a)-193(b)-10(est)-193(con\033guration)-193(p)-7(er)-193(conte)7(xt.)-193(Once)-193(the)-193(initial)-193(\033ne-graine)-7(d)]TJ T* [(pr)8(o\033ling)-251(is)-251(done)10(,)-251(the)-251(custom)-251(wir)8(er)-251(builds)-251(the)-251(b)-11(est)-251(con\033gura-)]TJ 1.009 0 0 1 54 566.575 Tm [(tion)-248(for)-249(each)-248(conte)7(xts)-249(and)-248(runs)-249(them;)-248(it)-249(sele)-7(cts)-248(the)-249(conte)7(xt)]TJ 1 0 0 1 53.701 554.62 Tm (\()Tj /T1_2 9.963 Tf [(e)10(.g.)]TJ /T1_1 9.963 Tf [(.)-250(the)-250(allo)-7(cation)-250(strategy)17(\))-250(that)-250(is)-250(fastest.)]TJ /T1_3 9.963 Tf 0.299 -24.242 Td [(4.8)-1000(Using)-250(static)-250(kno)7(wle)-7(dge)]TJ /T1_1 9.963 Tf 1.018 0 0 1 54 515.434 Tm [(In)-247(addition)-246(to)-247(the)-246(pruning)-247(te)-7(chniques)-246(describ)-10(e)-7(d)-247(ab)-9(o)6(v)8(e)10(,)-246(w)7(e)]TJ 1.006 0 0 1 54 503.479 Tm [(also)-247(use)-248(coarse-graine)-7(d)-247(static)-248(domain)-247(kno)7(wle)-7(dge)-247(that)-248(do)-7(es)]TJ 0.987 0 0 1 54 491.523 Tm [(not)-254(r)8(e)-7(quir)8(e)-255(a)-254(detaile)-7(d)-255(cost)-254(mo)-7(del.)-255(For)-254(e)7(xample)10(,)-255(when)-254(identi-)]TJ 0.98 0 0 1 54 479.568 Tm [(fying)-248(candidates)-248(for)-248(fusion,)-248(static)-248(kno)7(wle)-7(dge)-248(helps)-248(imp)-7(ose)-248(a)]TJ 1.02 0 0 1 54 467.613 Tm [(range)-257(for)-256(the)-257(size)-256(of)-257(the)-256(GEMM)-257(fusion)-256(gr)8(oups,)-257(as)-257(a)-256(fusion)]TJ T* [(gr)8(oup)-248(of)-248(mor)7(e)-248(than)-248(a)-248(certain)-248(size)-248(will)-248(giv)8(e)-249(diminishing)-248(r)8(e-)]TJ T* [(turns.)-305(Similarly)58(,)-305(static)-305(kno)7(wle)-7(dge)-305(is)-305(use)-7(d)-304(to)]TJ /T1_2 9.963 Tf 182.967 0 Td (constrain)Tj /T1_1 9.963 Tf 39.41 0 Td (the)Tj -222.376 -11.955 Td [(runtime)-264(e)6(xploration)-264(by)-264(giving)-265(it)-264(p)-7(olicies)-264(or)]TJ /T1_2 9.963 Tf 178.846 0 Td [(obje)-7(ctiv)8(e)-264(func-)]TJ 0.98 0 0 1 54 419.792 Tm (tions)Tj /T1_1 9.963 Tf 21.422 0 Td [(to)-249(optimize)-250(\025)]TJ /T1_2 9.963 Tf 56.368 0 Td [(e)10(.g.)]TJ /T1_1 9.963 Tf [(,)-249(in)-250(sche)-7(duling)-249(kernels)-249(acr)8(oss)-250(str)9(eams,)]TJ 1.02 0 0 1 54 407.837 Tm [(r)8(oughly)-284(balance)-284(the)-283(amount)-284(of)-284(w)8(ork)-284(\(\036ops\))-284(sche)-7(dule)-6(d)-284(on)]TJ 1 0 0 1 54 395.882 Tm [(the)-250(di\035er)8(ent)-250(str)8(eams)-250(to)-250(ensur)8(e)-250(go)-7(o)-7(d)-250(utilization.)]TJ /T1_3 11.955 Tf 0 -26.235 TD [(5)-1000(Implementation)]TJ /T1_1 9.963 Tf 1.02 0 0 1 53.522 354.703 Tm [(W)78(e)-255(hav)8(e)-255(implemente)-7(d)]TJ /T1_2 9.963 Tf 93.277 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.099 0 Td [(in)-255(tw)7(o)-255(p)-7(opular)-255(de)-7(ep)-255(learning)]TJ 1.016 0 0 1 54 342.748 Tm [(frame)7(w)8(orks)-246(-)-245(Py)38(T)62(or)8(ch)-246([)]TJ 0.55 1 0 0.15 k 1 0 0 1 152.222 342.748 Tm (25)Tj 0 g 1.016 0 0 1 161.487 342.748 Tm [(])-246(and)-245(T)62(ensor\036o)7(w)-246([)]TJ 0.55 1 0 0.15 k 1 0 0 1 237.685 342.748 Tm (1)Tj 0 g 1.016 0 0 1 242.318 342.748 Tm [(].)-246(In)-245(this)-246(se)-7(c-)]TJ 1 0 0 1 54 330.793 Tm [(tion,)-250(w)8(e)-250(describ)-10(e)-250(ke)7(y)-250(asp)-7(e)-7(cts)-250(of)-250(the)-250(implementation.)]TJ /T1_3 9.963 Tf 0 -24.243 TD [(5.1)-1000(Ar)8(chite)-7(ctur)8(e)]TJ /T1_1 9.963 Tf 0.98 0 0 1 53.701 291.606 Tm [(Ther)8(e)-256(ar)8(e)-257(se)8(v)8(eral)-257(high-le)7(v)9(el)-257(comp)-7(onents)-256(in)-257(a)-256(DL)-257(frame)7(w)9(ork)]TJ 0.996 0 0 1 54 279.651 Tm [(such)-252(as)-252(Py)40(T)63(or)8(ch)-252(or)-252(T)64(ensor\036o)7(w)59(.)-252(The)-252(input)-251(to)-252(the)-252(to)-7(olkit)-252(is)-251(a)]TJ 1.002 0 0 1 54 267.696 Tm [(mo)-7(del)-250(\033le)-251(typically)-250(written)-251(in)-250(p)7(ython.)-251(Fr)8(om)-251(the)-250(mo)-7(del,)-250(the)]TJ 1.02 0 0 1 54 255.741 Tm [(to)-7(olkit)-261(builds)-262(a)-262(data)-261(\036o)7(w)-262(graph.)-261(While)-262(the)-262(graph)-261(building)]TJ 0.98 0 0 1 54 243.786 Tm [(happ)-7(ens)-192(by)-192(default)-192(in)-192(T)64(ensor\036o)7(w)61(,)-192(Py)39(T)65(or)8(ch)-192(supp)-7(orts)-192(dynamic)]TJ 0 -11.955 TD [(e)7(xe)-7(cution)-225(wher)8(e)-225(the)-225(p)8(ython)-225(interpr)8(eter)-225(handles)-225(contr)8(ol)-225(\036o)7(w)61(.)]TJ 1.02 0 0 1 53.522 219.875 Tm [(W)78(e)-295(use)-296(an)-296(e)7(xp)-7(erimental)-295(featur)8(e)-296(calle)-7(d)]TJ /T1_2 9.963 Tf 160.075 0 Td (tracing)Tj /T1_1 9.963 Tf 30.941 0 Td [(in)-296(Py)39(T)61(or)8(ch)]TJ 1 0 0 1 54 207.92 Tm [(that)-250(generates)-250(an)-250(e)7(xe)-7(cution)-250(graph)-250(like)-250(T)63(ensor\036o)7(w)59(.)]TJ 0.981 0 0 1 63.963 195.965 Tm [(Another)-254(imp)-7(ortant)-254(comp)-8(onent)-254(in)-254(a)-254(DL)-254(to)-7(olkit)-254(is)-255(the)]TJ /T1_2 9.963 Tf 214.692 0 Td (auto-)Tj 0.98 0 0 1 54 184.01 Tm [(matic)-173(di\035er)8(entiation)]TJ /T1_1 9.963 Tf 81.746 0 Td [(mo)-7(dule)10(.)-173(T)64(o)-172(implement)-173(back-pr)8(opagation)]TJ 1.017 0 0 1 54 172.055 Tm [(for)-246(gradient)-247(descent,)-246(these)-247(to)-7(olkits)-246(automatically)-247(generate)]TJ 0.98 0 0 1 54 160.1 Tm [(co)-7(de)-255(for)-254(the)-254(di\035er)8(entiate)-7(d)-255(v)8(ersions)-254(of)-254(the)-255(for)-15(war)8(d)-254(pass)-255(com-)]TJ 1.001 0 0 1 54 148.144 Tm [(putation.)-251(The)-251(user)-251(mo)-7(del)-251(simply)-251(sp)-7(e)-7(ci\033es)-251(the)-251(for)-15(war)8(d)-250(pass)]TJ 1.02 0 0 1 54 136.189 Tm [(computation,)-255(and)-255(the)-255(to)-7(olkit)-255(generates)-255(the)-255(backwar)8(d)-255(pass)]TJ 1.008 0 0 1 54 124.234 Tm [(co)-7(de)10(.)-247(Fr)7(om)-247(a)-247(training)-248(time)-247(p)-7(ersp)-7(e)-7(ctiv)8(e)10(,)-248(r)8(oughly)-247(tw)8(o-thir)8(ds)]TJ 1 0 0 1 54 112.279 Tm [(of)-250(the)-250(computation)-250(happ)-7(ens)-250(during)-250(the)-250(backwar)8(d)-250(pass.)]TJ 0.98 0 0 1 63.963 100.324 Tm [(Once)-214(the)-214(e)7(xe)-7(cution)-214(graph)-214(is)-214(generate)-7(d,)-214(the)-214(to)-7(olkit)-214(inv)8(okes)]TJ 0.985 0 0 1 54 88.369 Tm (the)Tj /T1_2 9.963 Tf 15.488 0 Td (dispatcher)Tj /T1_1 9.963 Tf 43.036 0 Td [(which)-254(iterates)-253(thr)8(ough)-254(the)-254(graph)-253(in)-254(data)-254(\036o)7(w)]TJ 1.02 0 0 1 54 76.413 Tm [(or)8(der)58(,)-298(and)-298(uses)-298(the)-299(lo)7(w-le)7(v)8(el)-298(libraries)-298(\(for)-298(GEMM,)-298(etc\))-298(to)]TJ ET q 230.401001 0 0 189.628479 322.7779999 530.3699951 cm /Im0 Do Q BT /T1_3 9.963 Tf 317.955 510.047 Td [(Figur)8(e)-250(3.)]TJ /T1_2 9.963 Tf 1.015 0 0 1 359.327 510.047 Tm [(A)12(stra)]TJ /T1_1 9.963 Tf 24.008 0 Td [(interp)-7(oses)-246(at)-246(the)-246(dispatcher)-247(of)-246(e)7(xisting)-246(DL)]TJ 0.98 0 0 1 317.955 498.091 Tm [(to)-7(olkits.)-188(Light-color)8(e)-7(d)-188(b)-10(o)7(xes)-187(ar)8(e)-188(comp)-7(onents)-188(that)]TJ /T1_2 9.963 Tf 200.809 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 23.422 0 Td (adds.)Tj 1.003 0 0 1 317.955 461.103 Tm [(asynchr)8(onously)-250(sche)-7(dule)-251(the)-250(op)-7(erations)-250(on)-251(the)-250(GP)-49(U)24(.)-251(Once)]TJ 0.98 0 0 1 317.955 449.148 Tm [(the)-201(GP)-50(U)-200(is)-201(done)-200(with)-201(e)7(xe)-7(cution)-200(of)-201(the)-201(kernels,)-200(the)-201(dispatcher)]TJ 1 0 0 1 317.955 437.192 Tm [(is)-250(noti\033e)-7(d,)-250(and)-250(it)-250(pr)8(o)-7(ce)-7(e)-7(ds)-250(to)-250(the)-250(ne)7(xt)-250(mini-batch.)]TJ /T1_2 9.963 Tf 1.02 0 0 1 327.918 425.237 Tm [(A)12(stra)]TJ /T1_1 9.963 Tf 24.002 0 Td [(is)-246(built)-245(in)-246(such)-246(a)-245(way)-246(that)-246(most)-245(of)-246(the)-245(ab)-10(o)7(v)7(e)-245(func-)]TJ 1.007 0 0 1 317.955 413.282 Tm [(tionality)-248(pr)8(o)7(vide)-7(d)-249(by)-248(the)-248(DL)-248(to)-7(olkit)-248(is)-249(r)8(euse)-7(d.)-248(It)-248(interp)-7(oses)]TJ 1.02 0 0 1 317.955 401.327 Tm [(at)-274(the)-273(dispatcher)-274(lay)8(er)-274(of)-274(the)-273(to)-7(olkit)-274(as)-274(sho)7(wn)-274(in)-273(Figur)8(e)]TJ 0.55 1 0 0.15 k 230.704 0 Td (3)Tj 0 g -230.704 -11.955 Td [(and)-253(substitutes)-253(its)-253(o)7(wn)-254(dispatch)-253(mo)-6(dule)9(.)-253(The)-253(mo)-7(dules)-253(im-)]TJ 0.981 0 0 1 317.955 377.417 Tm [(plemente)-7(d)-255(by)]TJ /T1_2 9.963 Tf 57.803 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.087 0 Td [(ar)8(e)-254(an)]TJ /T1_2 9.963 Tf 27.653 0 Td (enumeration)Tj /T1_1 9.963 Tf 52.497 0 Td [(mo)-7(dule)-255(which)-254(is)-254(the)]TJ 0.987 0 0 1 317.955 365.461 Tm [(o\037ine)-252(compilation/enumeration)-251(phase)10(,)-252(and)-252(a)]TJ /T1_2 9.963 Tf 186.981 0 Td [(custom)-252(wiring)]TJ /T1_1 9.963 Tf 1.019 0 0 1 317.955 353.506 Tm [(mo)-7(dule)-246(which)-245(picks)-246(di\035er)8(ent)-246(instances)-245(of)-246(the)-245(enumerate)-7(d)]TJ 0.986 0 0 1 317.955 341.551 Tm [(space)-253(and)-254(e)7(xe)-7(cutes)-253(that)-253(incarnation)-254(of)-253(the)-253(DFG)-254(by)-253(dispatch-)]TJ 0.98 0 0 1 317.955 329.596 Tm [(ing)-222(op)-7(erations.)-223(Be)-7(cause)]TJ /T1_2 9.963 Tf 97.874 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 23.766 0 Td [(fully)-222(contr)8(ols)-222(the)-223(dispatcher)61(,)-223(it)]TJ 0.982 0 0 1 317.955 317.641 Tm [(is)-254(not)-254(limite)-7(d)-255(by)-254(the)-254(inability)-254(of)-254(the)-254(frame)7(w)8(ork)-254(to)-254(use)-254(multi-)]TJ 0.98 0 0 1 317.955 305.686 Tm [(ple)-222(str)9(eams;)]TJ /T1_2 9.963 Tf 50.441 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 23.759 0 Td [(p)-7(erforms)-222(its)-221(o)7(wn)-222(str)9(eam)-222(management)-221(and)]TJ 0.992 0 0 1 317.955 293.73 Tm [(interacts)-253(with)-252(the)-253(GP)-49(U)-253(dir)8(e)-7(ctly)59(,)-252(by)-253(le)7(v)8(eraging)-252(the)-253(lo)7(w-le)7(v)8(el)]TJ 1 0 0 1 317.955 281.775 Tm [(libraries)-250(that)-250(the)-250(frame)7(w)8(ork)-250(alr)8(eady)-250(has.)]TJ /T1_3 9.963 Tf 0 -23.045 TD [(5.2)-1000(Pr)8(o\033ling)]TJ /T1_1 9.963 Tf 1.004 0 0 1 317.955 243.786 Tm [(Lightw)8(eight)-249(\033ne-graine)-7(d)-248(pr)8(o\033ling)-249(is)-249(a)-248(ke)7(y)-249(r)8(e)-7(quir)8(ement)-249(for)]TJ 1.02 0 0 1 317.955 231.831 Tm [(the)-317(online)-317(e)7(xploration)-317(to)-316(w)8(ork)-317(e\034ciently)58(.)-318(T)20(raditional)-317(ap-)]TJ 0 -11.956 TD [(pr)8(oaches)-279(such)-278(as)-279(CUD)29(A)-279(callbacks)-278(that)-279(ar)8(e)-278(enable)-7(d)-279(by)-278(the)]TJ 0.994 0 0 1 317.955 207.92 Tm [(Nvidia)-252(CUPTI)-252(lay)8(er)60(,)-252(ar)8(e)-252(to)-7(o)-252(\033ne-graine)-7(d)-251(b)-10(e)-7(cause)-252(e)7(v)8(er)-15(y)-252(ker-)]TJ 0.992 0 0 1 317.955 195.965 Tm [(nel)-252(run)-252(on)-251(the)-252(GP)-49(U)-252(generates)-252(a)-252(callback)-252(in)-251(the)-252(critical)-252(path,)]TJ 1.02 0 0 1 317.587 184.01 Tm [(wher)8(eas)-259(w)8(e)-259(ne)-6(e)-7(d)-259(to)-259(contr)8(ol)-259(the)-258(granularity)-259(of)-259(pr)8(o\033ling)-258(to)]TJ 0.982 0 0 1 317.955 172.055 Tm [(only)-254(include)-253(r)8(egions)-254(of)-254(inter)9(est)-254(in)-254(or)8(der)-253(to)-254(amortize)-254(the)-253(pr)8(o-)]TJ 1.02 0 0 1 317.955 160.1 Tm [(\033ling)-310(o)7(v)8(erhead.)-310(In)]TJ /T1_2 9.963 Tf 78.491 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf [(,)-310(w)8(e)-309(wrap)-310(the)-310(r)8(egions)-310(of)-309(inter)8(est)]TJ 1.009 0 0 1 317.955 148.144 Tm [(or)-247(kernels)-246(b)-10(etw)8(e)-7(en)-247(a)-247(pair)-247(of)]TJ /T1_2 9.963 Tf 116.248 0 Td [(cudaEv)8(ents)]TJ /T1_1 9.963 Tf [(.)-247(During)-247(the)-246(o\037ine)]TJ 1.02 0 0 1 317.955 136.189 Tm [(stage)10(,)-251(the)-251(pr)8(o\033ler)-251(r)8(egisters)-250(e)6(v)8(ent)-250(pairs)-251(for)-251(such)-251(no)-6(des)-251(and)]TJ 1.011 0 0 1 317.955 124.234 Tm [(adds)-247(them)-247(to)-247(the)-246(pr)8(o\033le)-247(inde)7(x)-247(with)-247(the)-247(appr)8(opriate)-247(ke)7(y)58(.)-246(In)]TJ 0.992 0 0 1 317.955 112.279 Tm [(the)-251(critical)-252(path,)-251(the)-252(runtime)-251(only)-251(ne)-7(e)-7(ds)-252(to)-251(mark)-252(the)-251(e)7(v)8(ents)]TJ 0.994 0 0 1 317.955 100.324 Tm [(for)-252(the)-252(no)-7(de)10(.)-252(Ar)8(ound)-252(a)-252(sup)-7(er-ep)-7(o)-7(ch)-252(b)-10(oundar)-15(y)59(,)-252(these)-252(e)7(v)8(ents)]TJ 0.98 0 0 1 317.955 88.369 Tm [(ar)8(e)-229(global)-230(e)8(v)8(ents,)-230(that)-229(synchr)8(oize)-229(acr)8(oss)-229(str)8(eams.)-230(For)-229(ep)-7(o)-7(chs)]TJ 1 0 0 1 317.955 76.413 Tm [(and)-250(fusion)-250(sets,)-250(these)-250(e)7(v)8(ents)-250(ar)8(e)-250(str)8(eam-lo)-7(cal)-250(e)7(v)8(ents.)]TJ ET /QITE_maskingtape BMC 1 g 46.37 733.8 518.3 18.19 re f EMC /Artifact <>BDC q 1 0 0 1 54 755.4614258 cm 0 g /GS0 gs /Fm0 Do Q EMC /Artifact <>BDC q 1 0 0 1 371.2230225 755.4614258 cm 0 g /GS0 gs /Fm1 Do Q EMC /Artifact <>BDC q 1 0 0 1 299.7244873 38.5740509 cm 0 g /GS0 gs /Fm2 Do Q EMC endstream endobj 687 0 obj <>>>/Resources 696 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (Session: ) Tj 31.667 0 Td (Machine ) Tj 34.607 0 Td (Learning ) Tj 34.998 0 Td (III) Tj ET endstream endobj 688 0 obj <>>>/Resources 693 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (ASPLOS\22219, ) Tj 46.094 0 Td (April ) Tj 20.417 0 Td (13\22617, ) Tj 25.765 0 Td (2019, ) Tj 20.773 0 Td (Providence, ) Tj 45.018 0 Td (RI, ) Tj 12.269 0 Td (USA) Tj ET endstream endobj 689 0 obj <>>>/Resources 690 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (917) Tj ET endstream endobj 690 0 obj <> endobj 691 0 obj <> endobj 692 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 693 0 obj <> endobj 694 0 obj <> endobj 695 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 696 0 obj <> endobj 697 0 obj <> endobj 698 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 699 0 obj <> endobj 700 0 obj <>stream BT /T1_0 9.963 Tf 53.691 737.534 Td [(ASPLOS)-250(`19,)-250(April)-250(13\02517,)-250(2019,)-250(Pr)8(o)7(vidence)10(,)-250(RI,)-250(USA)]TJ 438.344 0 Td [(Sivathanu,)-250(et)-250(al.)]TJ ET q 503.9938202 0 0 264.4947357 54 455.5050049 cm /Im0 Do Q BT /T1_1 9.963 Tf 54 435.181 Td [(Figur)8(e)-249(2.)]TJ /T1_2 9.963 Tf 41.361 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 27.161 0 Td (Exploration.)Tj /T1_3 9.963 Tf 0.997 0 0 1 181.314 435.181 Tm [(This)-250(\033gur)8(e)-250(sho)7(ws)-250(the)-250(di\035er)8(ent)-250(le)7(v)8(els)-250(of)-250(e)7(xploration)-250(in)-250(A)12(stra.)-250(At)-250(the)-250(left)-250(is)-251(a)-250(zo)-7(ome)-7(d)-250(in)-250(v)8(ersion)-250(of)]TJ 1 0 0 1 54 423.226 Tm [(Sup)-7(er)-250(Ep)-7(o)-7(ch)-250(1)-250(fr)8(om)-250(the)-250(\033gur)8(e)-250(on)-250(the)-250(right.)-250(Legend)-250(at)-250(the)-250(b)-10(ottom)-250(right)-250(sho)7(ws)-250(what)-250(the)-250(various)-250(shap)-7(es)-250(mean.)]TJ /T1_4 9.963 Tf 1.02 0 0 1 54 394.733 Tm [(Ne)7(xt,)-322(the)-321(e)7(xploration)-322(for)-321(the)-322(se)-7(cond)-321(ep)-7(o)-7(ch)-322(happ)-7(ens,)-321(and)]TJ 0 -11.955 TD [(so)-276(on.)-276(Ther)8(efor)8(e)9(,)-276(w)8(e)-276(make)-276(the)-276(e)7(xploration)-276(additiv)8(e)-276(in)-276(the)]TJ 0.98 0 0 1 54 370.822 Tm [(numb)-10(er)-198(of)-197(ep)-7(o)-7(chs,)-198(thus)-197(signi\033cantly)-198(r)9(e)-7(ducing)-198(the)-197(state)-198(space)11(.)]TJ /T1_1 9.963 Tf 1 0 0 1 54 346.158 Tm [(4.5.5)-1000(Equivalence)-250(e)7(xploration)]TJ /T1_4 9.963 Tf 0.98 0 0 1 53.522 331.214 Tm [(While)-214(barriers)-214(and)-214(pr)8(e\033xes)-213(help)-214(cut)-214(do)7(wn)-214(the)-214(state)-214(space)-214(sig-)]TJ 0.488 -11.955 Td [(ni\033cantly)60(,)-229(the)-228(e)7(xploration)-229(within)-229(an)-228(ep)-8(o)-7(ch)-228(is)-229(still)-229(e)7(xhaustiv)8(e)11(.)]TJ 1.02 0 0 1 53.522 307.304 Tm [(While)-266(most)-267(ep)-6(o)-7(chs)-267(ar)8(e)-266(small)-266(\(fe)6(w)8(er)-266(than)-266(5)-267(kernels\),)-266(ther)8(e)]TJ 1.004 0 0 1 54 295.349 Tm [(ar)8(e)-249(ep)-7(o)-7(chs)-249(that)-250(ar)8(e)-249(larger)59(.)-249(T)62(o)-249(handle)-249(this,)-249(w)8(e)-249(intr)8(o)-7(duce)-250(the)]TJ 0.98 0 0 1 54 283.394 Tm [(notion)-234(of)-235(an)-234(e)-7(quivalence)-235(class)-234(among)-234(kernels)-235(by)-234(making)-234(use)]TJ 1.01 0 0 1 54 271.439 Tm [(of)-248(static)-248(k)-1(no)7(wle)-7(dge)-248(of)-248(the)-248(dep)-7(endency)-248(r)7(elationships)-248(of)-248(the)]TJ 1.02 0 0 1 54 259.483 Tm [(op)-7(erations,)-268(and)-268(the)-268(scop)-7(e)-268(of)-268(the)-268(op)-7(erations)-268(fr)8(om)-268(the)-268(high)]TJ 0.98 0 0 1 54 247.528 Tm [(le)7(v)8(el)-209(co)-7(de)-209(for)-209(the)-209(mo)-7(del.)-209(Intuitiv)8(ely)60(,)-209(if)-209(a)-209(gr)8(oup)-209(of)-208(GEMMs)-209(ar)8(e)]TJ 0.999 0 0 1 54 235.573 Tm [(of)-251(the)-251(same)-251(shap)-7(e)10(,)-251(and)-251(hav)8(e)-251(similar)-252(inb)-10(ound)-251(and)-251(outb)-10(ound)]TJ 0.995 0 0 1 54 223.618 Tm [(dep)-7(endencies)-252(in)-253(the)-252(DFG,)-253(the)8(y)-253(can)-252(b)-10(e)-253(tr)8(eate)-7(d)-252(as)-252(e)-7(quivalent.)]TJ 0.99 0 0 1 54 211.663 Tm [(Hence)-252(if)-252(ther)8(e)-252(ar)8(e)-252(10)-252(of)-252(those)-252(kernels)-252(in)-252(an)-253(ep)-7(o)-7(ch)-252(that)-252(ne)-7(e)-7(d)]TJ T* [(to)-253(b)-10(e)-253(sche)-7(dule)-7(d)-253(acr)8(oss)-253(2)-253(str)8(eams,)-252(w)8(e)-253(only)-253(ne)-7(e)-7(d)-253(to)-253(adapt)-253(the)]TJ /T1_3 9.963 Tf 1.02 0 0 1 54 187.752 Tm [(numb)-10(er)]TJ /T1_4 9.963 Tf 33.038 0 Td [(of)-248(op)-7(erations)-249(to)-248(sche)-7(dule)-248(in)-249(each)-248(str)8(eam)-249(\()]TJ /T1_3 9.963 Tf [(e)10(.g.)]TJ /T1_4 9.963 Tf [(,)-248(3)-249(in)]TJ 1.008 0 0 1 54 175.797 Tm [(\033rst)-249(str)8(eam,)-248(7)-249(in)-248(se)-7(cond,)-249(etc.)-248(for)-249(a)-248(total)-249(of)-248(5)-249(choices\))-248(rather)]TJ 1.016 0 0 1 54 163.842 Tm (than)Tj /T1_3 9.963 Tf 20.904 0 Td [(which)-245(e)7(xact)]TJ /T1_4 9.963 Tf 49.142 0 Td [(op)-7(erations)-245(to)-245(sche)-7(dule)-245(in)-246(each)-245(str)8(eam.)-245(In)]TJ 0.984 0 0 1 54 151.887 Tm [(this)-254(e)7(xample)-253(of)-254(10)-254(kernels,)-254(the)-254(e)-7(quivalence)-254(e)7(xploration)-253(thus)]TJ 0.98 0 0 1 54 139.932 Tm [(cuts)-197(do)7(wn)-197(the)-197(state)-197(space)-198(fr)9(om)]TJ /T1_5 9.963 Tf 125.285 0 Td (2)Tj /T1_5 7.273 Tf 1 0 0 1 181.319 143.548 Tm (10)Tj /T1_4 9.963 Tf 0.98 0 0 1 190.506 139.932 Tm [(to)-197(just)]TJ /T1_5 9.963 Tf 27.131 0 Td (5)Tj /T1_4 9.963 Tf 6.597 0 Td [(within)-197(that)-197(ep)-7(o)-8(ch.)]TJ /T1_1 9.963 Tf 1 0 0 1 54 115.268 Tm [(4.6)-1000(Pr)8(o\033le)-250(inde)7(xing)]TJ /T1_4 9.963 Tf 0.98 0 0 1 53.701 100.324 Tm [(The)-240(me)-7(chanism)-240(that)]TJ /T1_3 9.963 Tf 85.565 0 Td [(A)12(stra)]TJ /T1_4 9.963 Tf 23.943 0 Td [(uses)-240(to)-240(manage)-239(di\035er)8(ent)-240(forms)-240(of)]TJ 0.996 0 0 1 54 88.369 Tm [(e)7(xploration,)-250(is)-250(intelligent)-250(inde)7(xing)-249(of)-250(pr)8(o\033le)-250(data,)-250(and)-250(man-)]TJ 0.98 0 0 1 54 76.413 Tm [(gling)-187(the)-187(ke)7(y)-187(to)-187(this)-187(inde)7(x)-187(helps)-187(dynamically)-187(contr)8(ol)-187(whether)]TJ 0.985 0 0 1 317.955 394.733 Tm [(to)-254(r)8(e-run)-253(an)-254(instance)-254(of)-254(the)-253(e)7(xploration)-254(or)-254(not.)-254(For)-253(e)7(xample)10(,)]TJ 0.984 0 0 1 317.587 382.778 Tm [(when)-255(p)-7(erforming)-255(parallel)-255(e)7(xploration,)-255(the)-256(ke)8(y)-256(for)-255(the)-255(pr)8(o\033l-)]TJ 0.98 0 0 1 317.955 370.822 Tm [(ing)-195(of)-196(a)-195(GEMM)-195(will)-196(only)-195(contain)-195(the)-196(identi\033er)-195(for)-195(the)-195(GEMM.)]TJ 0.987 0 0 1 317.955 358.867 Tm [(Hence)-254(if)-254(ther)8(e)-254(ar)8(e)-253(3)-254(choices)-254(for)-254(GEMM)-254(kernels,)-254(that)-254(GEMM)]TJ 0.994 0 0 1 317.587 346.912 Tm [(will)-252(only)-252(ne)-7(e)-7(d)-252(3)-252(iterations)-252(to)-252(pick)-252(its)-252(b)-10(est)-252(value)11(.)-252(If)-252(ther)8(e)-252(ar)8(e)]TJ 0.991 0 0 1 317.955 334.957 Tm [(higher)-253(le)7(v)8(el)-253(dep)-7(endencies)-254(such)-253(as)-253(the)-253(allo)-7(cation)-253(strategy)-254(or)]TJ 1.02 0 0 1 317.955 323.002 Tm [(str)8(eam)-261(mapping)-260(base)-7(d)-260(on)-261(which)-260(the)-260(measur)8(ement)-261(for)-260(the)]TJ 0.994 0 0 1 317.955 311.047 Tm [(GEMM)-252(has)-251(to)-252(b)-10(e)-252(invalidate)-7(d,)-251(those)-252(dep)-7(endencies)-251(ar)8(e)-252(adde)-7(d)]TJ 0 -11.956 TD [(as)-251(pr)8(e\033xes)-251(to)-251(the)-250(inde)7(xing)-251(ke)7(y)-251(of)-251(the)-251(corr)8(esp)-7(onding)-251(pr)8(o\033le)10(,)]TJ 1.001 0 0 1 317.955 287.136 Tm [(so)-250(that)-250(when)-251(the)-250(custom-wir)8(er)-250(e)7(xplor)8(es)-250(a)-250(di\035er)8(ent)-251(binding)]TJ 0.98 0 0 1 317.955 275.181 Tm [(of)-245(the)-245(higher-le)7(v)8(el)-245(p)-7(olicy)60(,)-245(ther)8(e)-245(is)-245(a)-245(miss)-245(in)-246(the)-245(pr)8(o\033le)-245(inde)7(x,)]TJ 1 0 0 1 317.955 263.226 Tm [(and)-250(it)-250(r)8(e-e)7(valuates)-250(that)-250(instance)10(.)]TJ /T1_1 9.963 Tf 0 -28.407 TD [(4.7)-1000(Custom)-250(Wir)8(er)]TJ /T1_4 9.963 Tf 1.02 0 0 1 317.656 219.875 Tm [(The)-364(custom)-363(wir)7(er)-363(takes)-364(the)-364(con\033gurations)-363(generate)-7(d)-364(by)]TJ 0.293 -11.955 Td [(the)-247(enumerator)58(,)-247(and)-246(builds)-247(the)-247(symb)-9(ol)-247(tables)-247(for)-247(all)-246(no)-7(des)]TJ 1.018 0 0 1 317.955 195.965 Tm [(in)-245(the)-245(graph.)-244(The)-245(custom)-245(wir)8(er)-245(then)-244(runs)-245(the)-245(for)-15(war)8(d)-245(and)]TJ 0.98 0 0 1 317.955 184.01 Tm [(backwar)8(d)-200(passes)-200(and)-201(up)-7(dates)-200(the)-200(pr)8(o\033le)-200(inde)7(x.)-201(T)64(o)-200(up)-7(date)-200(the)]TJ 1.019 0 0 1 317.955 172.055 Tm [(pr)8(o\033le)-245(inde)7(x,)-244(the)-244(get_pr)7(o\033le_value)-244(metho)-7(d)-244(is)-245(calle)-7(d)-244(on)-244(all)]TJ 0.98 0 0 1 317.955 160.1 Tm [(the)-255(A)12(daptiv)8(e)55(V)61(ariables.)-255(Each)-255(variable)-255(lo)-7(oks)-256(at)-255(all)-255(the)-255(pr)8(o\033le)-7(d)]TJ 1.02 0 0 1 317.955 148.144 Tm [(p)-7(oints)-273(and)-274(outputs)-273(one)-273(metric)-274(that)-273(the)-273(custom)-274(wir)8(er)-273(tries)]TJ 0 -11.955 TD [(to)-361(minimize)9(.)-362(For)-361(GEMM)-361(no)-7(des,)-362(the)-361(metric)-361(is)-362(simply)-361(the)]TJ 0.98 0 0 1 317.955 124.234 Tm [(e)7(xe)-7(cution)-237(time)11(.)-237(For)-237(fuse)-7(d)-236(GEMM)-237(ndes,)-237(it)-236(is)-237(the)-236(to)-1(t)1(a)-1(l)-236(time)-237(for)]TJ 1.001 0 0 1 317.955 112.279 Tm [(all)-250(GEMM)-249(no)-7(des.)-250(For)-249(ep)-7(o)-7(chs)-250(during)-249(str)8(eam)-250(adaptation,)-250(the)]TJ 0.98 0 0 1 317.955 100.324 Tm [(metric)-201(is)-200(the)-201(time)-201(fr)8(om)-200(the)-201(start)-201(of)-200(the)-201(sup)-7(er)-201(ep)-7(o)-7(ch)-201(to)-201(the)-200(end)]TJ T* [(of)-248(all)-248(kernels)-248(dispatche)-7(d)-248(in)-247(all)-248(str)8(eams)-248(till)-248(the)-248(end)-248(of)-247(pr)8(esent)]TJ 0 -11.956 TD [(ep)-7(o)-7(ch.)-195(The)-194(stor)8(e)-7(d)-194(con\033guration)-194(for)-195(a)-194(no)-7(de)-194(includes)-194(the)-194(value)]TJ ET /QITE_maskingtape BMC 1 g 46.37 733.8 518.3 18.19 re f EMC /Artifact <>BDC q 1 0 0 1 54 755.4614258 cm 0 g /GS0 gs /Fm0 Do Q EMC /Artifact <>BDC q 1 0 0 1 371.2230225 755.4614258 cm 0 g /GS0 gs /Fm1 Do Q EMC /Artifact <>BDC q 1 0 0 1 299.7244873 38.5740509 cm 0 g /GS0 gs /Fm2 Do Q EMC endstream endobj 701 0 obj <>>>/Resources 710 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (Session: ) Tj 31.667 0 Td (Machine ) Tj 34.607 0 Td (Learning ) Tj 34.998 0 Td (III) Tj ET endstream endobj 702 0 obj <>>>/Resources 707 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (ASPLOS\22219, ) Tj 46.094 0 Td (April ) Tj 20.417 0 Td (13\22617, ) Tj 25.765 0 Td (2019, ) Tj 20.773 0 Td (Providence, ) Tj 45.018 0 Td (RI, ) Tj 12.269 0 Td (USA) Tj ET endstream endobj 703 0 obj <>>>/Resources 704 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (916) Tj ET endstream endobj 704 0 obj <> endobj 705 0 obj <> endobj 706 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 707 0 obj <> endobj 708 0 obj <> endobj 709 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 710 0 obj <> endobj 711 0 obj <> endobj 712 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 713 0 obj <> endobj 714 0 obj <>stream BT /T1_0 9.963 Tf 53.691 737.534 Td [(A)12(stra:)-292(Exploiting)-250(Pr)8(e)-7(dictability)-250(to)-250(Optimize)-250(De)-7(ep)-250(Learning)]TJ 294.963 0 Td [(ASPLOS)-250(`19,)-250(April)-250(13\02517,)-250(2019,)-250(Pr)8(o)7(vidence)10(,)-250(RI,)-250(USA)]TJ /T1_1 9.963 Tf -294.654 -27.497 Td [(4.4.2)-1000(Con\033guration)-250(generation)]TJ /T1_2 9.963 Tf 1.02 0 0 1 53.701 695.093 Tm [(The)-277(information)-277(e)7(xtracte)-7(d)-277(during)-277(the)-277(static)-276(analysis)-277(is)-277(or-)]TJ 1.014 0 0 1 54 683.138 Tm [(ganise)-7(d)-247(as)-246(a)-247(set)-247(of)]TJ /T1_3 9.963 Tf 75.962 0 Td [(adaptiv)8(e)-247(variables)]TJ /T1_2 9.963 Tf [(.)-247(An)-246(adaptiv)7(e)-246(variable)]TJ 0.98 0 0 1 54 671.183 Tm [(is)-241(the)-242(basic)-241(unit)-241(of)-242(adaptation)-241(use)-7(d)-242(by)-241(the)-241(custom-wir)8(er)60(,)-241(and)]TJ 1 0 0 1 54 659.228 Tm [(has)-250(the)-250(follo)7(wing)-250(interface:)]TJ /T1_4 9.963 Tf -0.468 -15.032 Td (\017)Tj /T1_5 9.963 Tf 8.936 0 Td (initialize)Tj /T1_2 9.963 Tf [(:)-250(Reset)-250(to)-250(default)-250(choice)]TJ /T1_4 9.963 Tf -8.936 -11.955 Td (\017)Tj /T1_5 9.963 Tf 8.936 0 Td (iterate)Tj /T1_2 9.963 Tf [(:)-250(Change)-250(lo)-7(cal)-250(choice)-250(to)-250(ne)7(xt)-250(option.)]TJ /T1_4 9.963 Tf -8.936 -11.955 Td (\017)Tj /T1_5 9.963 Tf 8.936 0 Td (get_profile_value)Tj /T1_2 9.963 Tf [(:)-250(Get)-250(the)-250(pr)8(o\033le)-250(metric)]TJ 1.013 0 0 1 53.701 605.254 Tm [(These)-246(adaptiv)8(e)-246(variables)-246(ar)8(e)-246(organise)-7(d)-246(into)-246(an)-246(up)-7(date)-246(tr)8(e)-7(e)10(.)]TJ 1.02 0 0 1 53.701 593.299 Tm [(The)-246(up)-7(date)-245(tr)7(e)-7(e)-245(has)-246(di\035er)8(ent)-246(mo)-7(des)-246(of)-246(e)7(xploration,)-246(which)]TJ 1 0 0 1 54 581.344 Tm [(ar)8(e)-250(annotate)-7(d)-250(by)-250(the)-250(enumerator:)]TJ /T1_1 9.963 Tf 0 -11.956 TD (Parallel:)Tj /T1_2 9.963 Tf 0.995 0 0 1 94.097 569.388 Tm [(All)-252(child)-252(no)-7(des)-252(can)-252(b)-10(e)-252(e)7(xplor)8(e)-7(d)-252(and)-252(pr)8(o\033le)-7(d)-253(inde-)]TJ 1 0 0 1 54 557.433 Tm [(p)-7(endently)-250(\()]TJ /T1_3 9.963 Tf [(e)10(.g.)]TJ /T1_2 9.963 Tf [(,)-250(use)-7(d)-250(for)-250(adaptation)-250(of)-250(fusion)-250(gr)8(oups\))]TJ /T1_1 9.963 Tf 0 -11.955 TD [(Exhaustiv)8(e:)]TJ /T1_2 9.963 Tf 0.98 0 0 1 108.41 545.478 Tm [(Exhaustiv)8(e)-199(\()-12(brute-for)8(ce\))-199(e)7(xploration)-199(of)-200(the)-199(sub-)]TJ 1 0 0 1 54 533.523 Tm [(tr)8(e)-7(e;)-250(e)7(xp)-7(onential)-250(in)-250(numb)-10(er)-250(of)-250(choices)]TJ /T1_1 9.963 Tf T* [(Pr)8(e\033x-base)-7(d:)]TJ /T1_2 9.963 Tf 1.016 0 0 1 114.981 521.568 Tm [(The)-246(sear)8(ch)-246(follo)7(ws)-246(a)-246(sp)-7(e)-7(ci\033e)-7(d)-246(up)-7(date)-246(or)8(der)58(.)]TJ 0.993 0 0 1 53.701 509.612 Tm [(The)-251(\033rst)-251(child)-251(is)-251(iterate)-7(d)-251(while)-251(the)-252(others)-251(ar)8(e)-251(kept)-251(constant.)]TJ 1.02 0 0 1 53.522 497.657 Tm [(When)-371(the)-371(sear)8(ch)-371(for)-371(this)-371(child)-371(\033nishes,)-371(its)-371(b)-10(est)-371(value)-371(is)]TJ 1 0 0 1 54 485.702 Tm [(r)8(e)-7(cor)8(de)-7(d)-250(and)-250(the)-250(e)7(xploration)-250(for)-250(the)-250(ne)7(xt)-250(child)-250(b)-10(egins.)]TJ 0.98 0 0 1 63.963 473.747 Tm [(The)-210(r)8(ole)-210(of)-210(the)-211(e)1(n)-1(umerator)-210(is)-210(thus)-210(to)-210(build)-210(this)-211(up)-7(date)-210(tr)8(e)-7(e)]TJ -10.166 -11.955 Td [(of)-189(adaptiv)8(e)-188(variables,)-189(with)-189(the)-189(appr)8(opriate)-189(mo)-7(de)-189(annotations,)]TJ 0.99 0 0 1 53.631 449.837 Tm [(which)-253(is)-252(then)-253(use)-7(d)-253(for)-252(e)7(xploration)-253(by)-253(the)-252(run-time)10(.)-253(The)-252(full)]TJ 0.984 0 0 1 54 437.881 Tm [(list)-254(of)-254(e)7(xploration)-254(mo)-7(des)-254(is)-254(describ)-10(e)-7(d)-254(in)-254(the)-254(ne)7(xt)-254(subse)-7(ction.)]TJ /T1_1 9.963 Tf 1 0 0 1 54 416.022 Tm [(4.5)-1000(Pruning)-250(e)7(xploration)-250(state)-250(space)]TJ /T1_2 9.963 Tf 0.98 0 0 1 53.522 401.078 Tm [(W)82(e)-177(no)8(w)-177(describ)-10(e)-176(in)-176(detail)-177(the)-176(e)7(xploration)-176(mo)-7(des)-176(state)-7(d)-177(ab)-10(o)7(v)8(e)11(.)]TJ 1 0 0 1 54 389.123 Tm [(Figur)8(e)]TJ 0.55 1 0 0.15 k 28.373 0 Td (2)Tj 0 g 7.123 0 Td [(sho)7(ws)-250(the)-250(e)7(xploration)-250(graph)-250(for)-250(part)-250(of)-250(a)-250(mo)-7(del.)]TJ /T1_1 9.963 Tf -35.497 -21.859 Td [(4.5.1)-1000(Parallel)-250(e)7(xploration)]TJ /T1_2 9.963 Tf 1.02 0 0 1 53.522 352.32 Tm [(With)-271(\033ne-graine)-7(d)-271(pr)7(o\033ling,)-271(the)-271(e)7(xploration)-272(of)-271(state)-271(space)]TJ 0.98 0 0 1 54 340.365 Tm [(b)-10(e)-7(comes)-224(parallel)-223(acr)8(oss)-223(indep)-7(endent)-224(choices)-223(in)-223(the)-224(optimiza-)]TJ 0.985 0 0 1 54 328.41 Tm [(tion)-254(hierar)8(chy)60(.)-255(Let's)-254(consider)-255(a)-254(a)-254(mo)-8(del)-254(that)-254(has)-255(5)-254(gr)8(oups)-254(of)]TJ 0.98 0 0 1 54 316.454 Tm [(fusion)-246(choices)-246(\()]TJ /T1_3 9.963 Tf [(e)10(.g.)]TJ /T1_2 9.963 Tf [(,)-246(p)-7(ertaining)-246(to)-246(5)-246(DNN)-245(lay)8(ers\),)-246(wher)8(e)-246(each)]TJ T* [(fusion)-251(gr)8(oup)-251(has)-251(12)-251(GEMM)-251(kernels.)-251(Let's)-251(assume)-251(the)-251(12)-251(ker-)]TJ T* [(nels)-203(within)-202(a)-203(fusion)-203(gr)8(oup)-202(hav)8(e)-203(thr)8(e)-7(e)-203(choices)-202(for)-203(fusion;)-203(the)7(y)]TJ 0.998 0 0 1 54 280.589 Tm [(can)-251(b)-10(e)-251(fuse)-7(d)-251(in)-250(chunks)-251(of)-251(size)-251(1,)-251(2)-251(or)-251(4)-251(\()]TJ /T1_3 9.963 Tf [(i.e)10(.)]TJ /T1_2 9.963 Tf [(,)-251(either)-251(12,)-251(6)-250(or)-251(3)]TJ 0.992 0 0 1 54 268.634 Tm [(fuse)-7(d)-251(GEMMs)-251(r)8(esp)-7(e)-7(ctiv)8(ely)17(\),)-251(and)-251(each)-251(GEMM)-251(op)-7(eration)-251(has)]TJ 1.001 0 0 1 54 256.679 Tm [(2)-250(choices)-251(of)-250(kernels)-250(\()]TJ /T1_3 9.963 Tf [(e)10(.g.)]TJ /T1_2 9.963 Tf [(,)-250(cublas,)-251(op)-7(enAI\))-250(to)-250(tr)-15(y)-251(out.)-250(With)-250(a)]TJ 0.985 0 0 1 54 244.723 Tm [(random)-253(mutation)-254(base)-7(d)-253(e)7(xploration,)-253(each)-253(iteration)-254(can)-253(only)]TJ 0.98 0 0 1 53.751 232.768 Tm [(var)-15(y)-256(one)-256(p)-7(oint)-255(in)-256(the)-256(state)-255(space)10(,)-256(so)-255(w)8(e)-256(ne)-7(e)-7(d)]TJ /T1_4 9.963 Tf 1 0 0 1 235.267 232.768 Tm (\271)Tj /T1_6 9.963 Tf 0.98 0 0 1 238.585 232.768 Tm (3)Tj /T1_4 9.963 Tf 1 0 0 1 245.343 232.768 Tm (\003)Tj /T1_6 9.963 Tf 0.98 0 0 1 252.254 232.768 Tm (2)Tj /T1_4 9.963 Tf 1 0 0 1 256.794 232.768 Tm (\272)Tj /T1_6 7.273 Tf 3.318 3.617 Td (5)Tj /T1_7 9.963 Tf 6.658 -3.617 Td (=)Tj /T1_6 9.963 Tf 0.98 0 0 1 275.885 232.768 Tm (7776)Tj /T1_2 9.963 Tf 1.007 0 0 1 54 220.813 Tm [(trials.)-247(Ho)7(w)8(e)7(v)8(er)59(,)-247(with)-247(\033ne-graine)-7(d)-247(pr)8(o\033ling)-246(and)-247(parallel)-247(e)7(x-)]TJ 0.997 0 0 1 54 208.858 Tm [(ploration,)-251(it)-251(ne)-7(e)-7(ds)-251(a)-251(much)-250(smaller)-251(numb)-10(er)-251(of)-251(trials)-251(b)-10(e)-7(cause)]TJ 0.987 0 0 1 54 196.903 Tm [(the)-253(e)7(xploration)-253(for)-253(each)-254(gr)8(oup)-253(can)-253(b)-10(e)-253(p)-7(erforme)-7(d)-254(in)-253(parallel;)]TJ 0.98 0 0 1 53.631 184.948 Tm [(w)8(e)-222(thus)-223(only)-222(ne)-7(e)-7(d)]TJ /T1_6 9.963 Tf 76.034 0 Td (3)Tj /T1_4 9.963 Tf 1 0 0 1 134.047 184.948 Tm (\003)Tj /T1_6 9.963 Tf 0.98 0 0 1 140.102 184.948 Tm (2)Tj /T1_7 9.963 Tf 1 0 0 1 147.409 184.948 Tm (=)Tj /T1_6 9.963 Tf 0.98 0 0 1 156.513 184.948 Tm (6)Tj /T1_2 9.963 Tf 6.848 0 Td [(trials)-222(to)-223(complete)-222(this)-223(state)-222(space)]TJ 1 0 0 1 54 172.992 Tm [(b)-10(e)-7(cause)-250(all)-250(the)-250(choice)-250(dimensions)-250(ar)8(e)-250(indep)-7(endent.)]TJ /T1_1 9.963 Tf 0 -21.859 TD [(4.5.2)-1000(Hierar)8(chical)-250(e)7(xploration)]TJ /T1_2 9.963 Tf 1.02 0 0 1 54 136.189 Tm [(Indep)-7(endent)-282(e)7(xploration)-282(is)-281(not)-282(always)-282(feasible)10(.)-282(For)-282(e)7(xam-)]TJ 0.999 0 0 1 54 124.234 Tm [(ple)10(,)-251(to)-251(b)-10(e)-251(fusion-friendly)59(,)-251(the)-251(tensors)-251(that)-251(participate)-251(in)-251(the)]TJ 0.989 0 0 1 54 112.279 Tm [(GEMM)-253(fusion)-252(must)-253(b)-10(e)-252(allo)-7(cate)-8(d)-252(contiguously)-253(in)-252(GP)-50(U)-252(mem-)]TJ 1.02 0 0 1 54 100.324 Tm [(or)-15(y)58(.)-261(A)-262(giv)8(en)-261(memor)-15(y)-262(allo)-6(cation)-262(strategy)-261(may)-262(thus)-261(p)-7(ermit)]TJ 0.998 0 0 1 54 88.369 Tm [(only)-251(a)-252(subset)-251(of)-252(fusion)-251(choices;)-251(often,)-252(the)-251(for)-15(war)8(d)-251(pass)-252(and)]TJ 0.994 0 0 1 54 76.413 Tm [(backwar)8(d)-252(pass)-252(giv)8(e)-252(rise)-251(to)-252(di\035er)8(ent)-252(fusion)-252(choices,)-252(p)-7(erhaps)]TJ 1.02 0 0 1 317.955 710.037 Tm [(r)8(e)-7(quiring)-252(con\036icting)-253(memor)-15(y)-252(allo)-7(cations.)-252(A)-253(large)-252(numb)-10(er)]TJ 0 -11.955 TD [(of)-321(con\036icts)-322(can)-321(b)-10(e)-322(r)8(esolv)8(e)-7(d)-321(statically)58(.)-322(For)-322(e)7(xample)10(,)-322(if)-321(the)]TJ T* [(con\036ict)-297(b)-10(etw)8(e)-7(en)-297(tw)8(o)-297(fusion)-298(gr)8(oups)-297(is)-297(b)-10(e)-7(cause)-297(of)-297(a)-297(single)]TJ 1.017 0 0 1 317.955 674.172 Tm [(tensor)58(,)-246(w)8(e)-246(just)-245(r)8(emo)7(v)7(e)-245(the)-246(o\035ending)-246(no)-7(de)-245(fr)8(om)-246(the)-246(fusion)]TJ 0.984 0 0 1 317.955 662.217 Tm [(gr)8(oups;)-253(thus,)-254(b)-10(oth)-254(fusion)-253(gr)8(oups)-253(can)-254(b)-10(e)-253(sim)-1(ultane)-7(ously)-253(sup-)]TJ 0.98 0 0 1 317.955 650.262 Tm [(p)-7(orte)-7(d.)-228(Ho)7(w)8(e)7(v)8(er)60(,)-227(some)-228(con\036icts)-228(ar)8(e)-228(non-trivial)-228(\()]TJ /T1_3 9.963 Tf [(e)10(.g.)]TJ /T1_2 9.963 Tf [(Figur)8(e)]TJ 0.55 1 0 0.15 k 236.719 0 Td (1)Tj 0 g (\).)Tj 0.998 0 0 1 317.955 638.306 Tm [(Simply)-251(sele)-7(cting)-250(the)-251(larger)-250(fusion)-251(gr)8(oup)-251(is)-250(ine\034cient)-251(giv)8(en)]TJ 1 0 0 1 317.955 626.351 Tm [(diminishing)-250(marginal)-250(r)8(eturns)-250(fr)8(om)-250(larger)-250(fusion)-250(gr)8(oups.)]TJ /T1_3 9.963 Tf 0.98 0 0 1 327.918 614.396 Tm [(A)12(stra)]TJ /T1_2 9.963 Tf 23.247 0 Td [(uses)-170(a)-170(measur)8(ement)-170(driv)8(en)-170(appr)8(oach)-170(to)-170(sele)-7(ct)-170(among)]TJ -33.413 -11.955 Td [(con\036icing)-207(memor)-16(y)-207(allo)-7(cation)-207(strategies.)-207(W)81(e)-207(intr)8(o)-7(duce)-207(a)-207(high)]TJ 1.014 0 0 1 317.955 590.486 Tm [(le)7(v)8(el)-246(fork)-245(in)-245(the)-246(e)7(xploration)-245(space)-246(p)-7(ertaining)-245(to)-245(the)-246(allo)-7(ca-)]TJ 1.02 0 0 1 317.955 578.531 Tm [(tion)-267(strategy)58(.)-266(While)-267(e)7(xploring)-266(an)-267(allo)-7(cation)-266(choice)10(,)-267(w)8(e)-267(r)8(e-)]TJ 0.98 0 0 1 317.955 566.575 Tm [(strict)-232(the)-232(adaptation)-232(for)-232(fusion)-232(gr)8(oups)-232(whose)-232(tensors)-232(ar)8(e)-232(not)]TJ 0.992 0 0 1 317.955 554.62 Tm [(contiguously)-253(allo)-7(cate)-7(d.)-253(The)-254(pr)9(o\033ling)-254(r)8(esults)-253(also)-253(r)8(e)-7(cor)8(d)-253(the)]TJ 0.98 0 0 1 317.955 542.665 Tm [(allo)-7(cation)-256(choice)10(.)-256(After)-257(each)-256(allo)-7(cation)-256(is)-256(e)7(xplor)8(e)-7(d,)-256(w)8(e)-256(build)]TJ 0.986 0 0 1 317.955 530.71 Tm [(the)-253(b)-10(est)-254(con\033guration)-253(for)-253(each)-253(allo)-7(cation)-253(and)-254(then)-253(compar)8(e)]TJ 1 0 0 1 317.955 518.755 Tm [(their)-250(end-to-end)-250(times.)]TJ /T1_1 9.963 Tf 0 -20.922 TD [(4.5.3)-1000(Barrier)-250(e)7(xploration)]TJ /T1_2 9.963 Tf 1.02 0 0 1 317.477 482.889 Tm [(When)-290(adapting)-289(the)-290(state)-290(space)-290(for)-289(str)7(eam)-289(sche)-7(duling,)]TJ /T1_3 9.963 Tf 223.422 0 Td [(A)12(s-)]TJ -222.953 -11.955 Td (tra)Tj /T1_2 9.963 Tf 14.583 0 Td [(ne)-7(e)-7(ds)-308(to)-308(var)-15(y)-308(the)-309(assignment)-308(of)-309(individual)-308(kernels)-308(to)]TJ -14.583 -11.955 Td [(di\035er)8(ent)-321(str)8(eams,)-322(and)-321(also)-321(var)-15(y)-321(the)-321(dispatch)-321(or)8(der)58(.)-322(Inter-)]TJ 0 -11.955 TD [(estingly)58(,)-264(the)-263(mapping)-264(of)-263(di\035er)8(ent)-264(kernels)-263(to)-264(str)8(eams)-264(is)-263(no)]TJ 0 -11.956 TD [(longer)-244(indep)-7(endent,)-245(as)-244(it)-245(is)-244(histor)-15(y-sensitiv)8(e;)-244(the)-245(pr)8(e)7(vious)]TJ 0 -11.955 TD [(set)-250(of)-249(kernels)-250(sche)-7(dule)-7(d)-250(on)-249(each)-250(of)-250(the)-250(str)8(eams)-250(a\035e)-6(cts)-250(the)]TJ 0.999 0 0 1 317.955 411.158 Tm [(choice)-250(of)-249(which)-250(str)8(eam)-250(is)-250(the)-249(b)-10(est)-250(\033t)-250(for)-249(the)-250(pr)8(esent)-250(kernel.)]TJ 0.98 0 0 1 317.955 399.203 Tm [(In)-218(the)-218(e)7(xtr)8(eme)-218(case)10(,)-218(this)-218(can)-218(r)8(emo)8(v)8(e)-218(the)-218(parallelism)-218(fr)8(om)-218(the)]TJ T* [(entir)8(e)-235(e)7(xploration)-236(of)-235(the)-235(str)8(eaming)-236(state)-235(space)-236(as)-235(the)-236(histor)-15(y)]TJ 1 0 0 1 317.955 375.293 Tm [(builds)-250(up)-250(o)7(v)8(er)-250(the)-250(complete)-250(graph.)]TJ /T1_3 9.963 Tf 1.011 0 0 1 327.918 363.337 Tm [(A)12(stra)]TJ /T1_2 9.963 Tf 24.01 0 Td [(addr)8(esses)-247(this)-246(by)-246(intr)7(o)-6(ducing)-247(the)-246(notion)-247(of)]TJ /T1_3 9.963 Tf 176.55 0 Td (barrier)Tj 1.02 0 0 1 317.955 351.382 Tm [(e)7(xploration)]TJ /T1_2 9.963 Tf [(.)-318(The)-318(enumerator)-318(statically)-317(partitions)-318(the)-318(data)]TJ 0.982 0 0 1 317.955 339.427 Tm [(\036o)7(w)-255(graph)-256(into)-255(sup)-7(er-ep)-7(o)-7(chs;)-256(a)-255(sup)-7(er-ep)-7(o)-7(ch)-255(is)-256(calibrate)-7(d)-255(to)]TJ 1.02 0 0 1 317.955 327.472 Tm [(b)-10(e)-268(r)8(oughly)-268(a)-268(fe)7(w)-268(millise)-6(conds)-268(w)7(orth)-267(of)-268(computation)-268(time)]TJ 0.988 0 0 1 317.955 315.517 Tm [(on)-253(the)-252(GP)-50(U)-252(\()17(estimate)-7(d)-253(base)-7(d)-253(on)-252(the)-253(static)-252(\036ops)-253(calculation\).)]TJ 1.02 0 0 1 317.606 303.562 Tm [(At)-280(sup)-7(er-ep)-7(o)-6(ch)-280(b)-10(oundaries,)-280(w)8(e)-280(intr)8(o)-7(duce)-280(a)-279(for)8(ce)-7(d)-280(barrier)]TJ 0.997 0 0 1 317.955 291.606 Tm [(synchr)8(onization)-251(acr)8(oss)-252(all)-251(str)8(eams)-251(to)]TJ /T1_3 9.963 Tf 152.991 0 Td [(r)8(eset)]TJ /T1_2 9.963 Tf 20.546 0 Td [(their)-251(state)10(.)-252(Thus,)]TJ 1.009 0 0 1 317.955 279.651 Tm [(at)-249(the)-249(start)-248(of)-249(e)7(v)8(er)-15(y)-249(sup)-7(er-ep)-7(o)-7(ch,)-249(the)-248(histor)-15(y)-249(of)-249(the)-249(str)8(eam)]TJ 1.02 0 0 1 317.955 267.696 Tm [(is)-304(empty)-304(and)-304(hence)-304(e)7(xploration)-304(of)-304(multiple)-305(sup)-6(er-ep)-7(o)-7(chs)]TJ 0.99 0 0 1 317.955 255.741 Tm [(can)-253(pr)9(o)-7(c)-1(e)-7(e)-7(d)-252(in)-253(parallel.)-252(The)-253(coarse)-252(granularity)-253(of)-252(the)-253(sup)-7(er-)]TJ 1.02 0 0 1 317.955 243.786 Tm [(ep)-7(o)-7(ch)-284(enables)-284(amortizing)-284(the)-284(cost)-284(of)-284(cr)7(oss-str)8(eam)-284(barrier)]TJ 0.995 0 0 1 317.955 231.831 Tm [(synchr)8(onization.)-251(Within)-251(a)-251(sup)-7(er-ep)-7(o)-7(ch)-251(w)8(e)-251(still)-251(ne)-7(e)-7(d)-251(to)-250(p)-8(er-)]TJ 1 0 0 1 317.955 219.875 Tm [(form)-250(e)7(xhaustiv)8(e)-250(e)7(xploration)-250(as)-250(it)-250(is)-250(histor)-15(y)-250(sensitiv)8(e)10(.)]TJ /T1_1 9.963 Tf 0 -20.921 TD [(4.5.4)-1000(Pr)8(e\033x)-250(e)7(xploration)]TJ /T1_2 9.963 Tf 0.993 0 0 1 317.656 184.01 Tm [(T)63(o)-251(further)-252(contr)8(ol)-251(the)-252(state)-251(space)-252(within)-251(a)-252(sup)-7(er-ep)-7(o)-7(ch,)-252(the)]TJ 1.016 0 0 1 317.955 172.055 Tm [(enumerator)-247(br)8(eaks)-247(up)-246(a)-247(sup)-7(er-ep)-7(o)-7(ch)-246(into)-247(multiple)-247(ep)-7(o)-6(chs,)]TJ 1.015 0 0 1 317.955 160.1 Tm [(base)-7(d)-247(on)-246(the)-247(dep)-7(endency)-247(r)8(elationships.)-247(Op)-7(erations)-247(within)]TJ 1.02 0 0 1 317.955 148.144 Tm [(the)-280(ep)-7(o)-7(ch)-280(can)-281(b)-9(e)-281(sche)-7(dule)-7(d)-280(acr)8(oss)-280(multiple)-281(str)8(eams,)-280(with)]TJ 0.98 0 0 1 317.955 136.189 Tm [(dep)-7(endencies)-202(enfor)8(ce)-7(d)-202(thr)8(ough)-202(GP)-50(U)-202(synchr)8(onization)-202(e)7(v)9(ents.)]TJ 1.02 0 0 1 317.955 124.234 Tm [(In)-306(or)8(der)-305(to)-306(b)-10(e)-305(histor)-15(y-awar)8(e)-306(of)-305(the)-306(e\035e)-7(ct)-305(of)-306(prior)-305(ep)-7(o)-7(chs)]TJ 1.01 0 0 1 317.587 112.279 Tm [(within)-248(the)-249(sup)-7(er-ep)-7(o)-7(ch,)-248(w)8(e)-249(use)-248(a)-249(pr)8(e\033x-building)-249(appr)8(oach)]TJ 1.02 0 0 1 317.955 100.324 Tm [(for)-322(state-space)-322(e)7(xploration)-322(acr)8(oss)-322(ep)-7(o)-7(chs;)-322(the)-322(\033rst)-322(ep)-7(o)-7(ch)]TJ 0 -11.955 TD [(do)-7(es)-279(its)-280(e)7(xploration,)-280(de)-6(cides)-280(on)-279(the)-280(ideal)-279(str)7(eam)-279(mapping)]TJ 0.98 0 0 1 317.955 76.413 Tm [(and)-214(then)-213(fr)8(e)-7(ezes)-214(the)-214(con\033guration)-213(cho)-7(c)-1(ies)-213(for)-214(the)-214(\033rst)-213(ep)-7(o)-7(ch.)]TJ ET /QITE_maskingtape BMC 1 g 46.37 733.8 518.3 18.19 re f EMC /Artifact <>BDC q 1 0 0 1 54 755.4614258 cm 0 g /GS0 gs /Fm0 Do Q EMC /Artifact <>BDC q 1 0 0 1 371.2230225 755.4614258 cm 0 g /GS0 gs /Fm1 Do Q EMC /Artifact <>BDC q 1 0 0 1 299.7244873 38.5740509 cm 0 g /GS0 gs /Fm2 Do Q EMC endstream endobj 715 0 obj <>>>/Resources 724 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (Session: ) Tj 31.667 0 Td (Machine ) Tj 34.607 0 Td (Learning ) Tj 34.998 0 Td (III) Tj ET endstream endobj 716 0 obj <>>>/Resources 721 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (ASPLOS\22219, ) Tj 46.094 0 Td (April ) Tj 20.417 0 Td (13\22617, ) Tj 25.765 0 Td (2019, ) Tj 20.773 0 Td (Providence, ) Tj 45.018 0 Td (RI, ) Tj 12.269 0 Td (USA) Tj ET endstream endobj 717 0 obj <>>>/Resources 718 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (915) Tj ET endstream endobj 718 0 obj <> endobj 719 0 obj <> endobj 720 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 721 0 obj <> endobj 722 0 obj <> endobj 723 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 724 0 obj <> endobj 725 0 obj <> endobj 726 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 727 0 obj <> endobj 728 0 obj <>stream BT /T1_0 9.963 Tf 53.691 737.534 Td [(ASPLOS)-250(`19,)-250(April)-250(13\02517,)-250(2019,)-250(Pr)8(o)7(vidence)10(,)-250(RI,)-250(USA)]TJ 438.344 0 Td [(Sivathanu,)-250(et)-250(al.)]TJ /T1_1 9.963 Tf 1.02 0 0 1 54 710.037 Tm [(those)-309(optimizations)-309(using)-309(a)-309(p)-7(erformance)-309(mo)-7(del,)-310(and)-309(pr)8(o-)]TJ 1.002 0 0 1 54 698.082 Tm [(duces)-250(a)-249(single)-250(v)8(ersion)-249(of)-250(the)-249(co)-7(de)10(.)-250(The)-249(runtime)-250(simply)-249(e)7(xe-)]TJ 1 0 0 1 54 686.127 Tm [(cutes)-250(the)-250(co)-7(de)-250(pr)8(o)-7(duce)-7(d)-250(by)-250(the)-250(compiler)59(.)]TJ 1.02 0 0 1 63.963 674.172 Tm [(In)-293(contrast,)-293(the)-293(optimizer)-293(in)]TJ /T1_2 9.963 Tf 118.332 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.475 0 Td [(is)-293(split)-293(b)-10(etw)8(e)-7(en)-293(tw)8(o)]TJ 1.007 0 0 1 54 662.217 Tm [(parts:)-248(an)]TJ /T1_2 9.963 Tf 37.703 0 Td (enumerator)Tj /T1_1 9.963 Tf 48.077 0 Td [(and)-248(a)]TJ /T1_2 9.963 Tf 24.483 0 Td [(custom-wir)8(er)]TJ /T1_1 9.963 Tf [(.)-248(The)-247(compiler)-248(p)-7(er-)]TJ 1.018 0 0 1 54 650.262 Tm [(forms)-244(only)-245(one)-244(of)-245(the)-244(tw)7(o)-244(tasks)-245(liste)-6(d)-245(ab)-10(o)7(v)8(e:)-245(enumerating)]TJ 0.982 0 0 1 54 638.306 Tm [(the)-254(state)-255(space)-254(of)-254(p)-7(ossible)-255(optimizations,)-254(using)-254(static)-254(kno)7(wl-)]TJ 1.02 0 0 1 54 626.351 Tm [(e)-7(dge)-315(to)-315(p)-7(erform)-316(minimal)-315(pruning)-315(of)-316(the)-315(state)-315(space)10(.)-316(The)]TJ 0 -11.955 TD [(output)-282(of)-283(the)-282(compiler)-283(is)-282(not)-283(one)-282(v)8(ersion)-283(of)-282(the)-283(co)-6(de)9(,)-282(but)]TJ 0.998 0 0 1 54 602.441 Tm (conceptually)Tj /T1_2 9.963 Tf 54.449 0 Td (N)Tj /T1_1 9.963 Tf 9.129 0 Td [(v)8(ersions,)-250(each)-251(p)-7(ertaining)-250(to)-250(one)-251(instance)-250(of)]TJ 1.005 0 0 1 54 590.486 Tm [(its)-248(enumeration.)-248(The)-247(runtime)-248(in)]TJ /T1_2 9.963 Tf 132.693 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.023 0 Td [(p)-7(erforms)-248(the)-248(task)-247(of)]TJ /T1_2 9.963 Tf 0.99 0 0 1 54 578.531 Tm (custom-wiring)Tj /T1_1 9.963 Tf 59.559 0 Td [(by)-253(ranking)-253(the)-254(optimizations)-253(to)-253(pick)-253(the)-254(b)-10(est)]TJ 0.98 0 0 1 54 566.575 Tm [(set)-227(of)-227(optimizations,)-227(but)-227(it)-227(do)-7(es)-227(not)-227(ne)-7(e)-7(d)-227(a)-227(sophisticate)-7(d)-227(cost)]TJ 1.011 0 0 1 54 554.62 Tm [(mo)-7(del.)-248(Instead,)-247(it)-248(simply)-248(runs)-247(each)-248(con\033guration)-248(and)-248(mea-)]TJ 0.991 0 0 1 54 542.665 Tm [(sur)8(es)-252(it;)-252(each)-252(mini-batch)-252(is)-252(run)-252(with)-252(a)-252(di\035er)8(ent)-252(option)-252(fr)8(om)]TJ 1.02 0 0 1 54 530.71 Tm [(the)-284(state)-283(space)-284(enumerate)-7(d)-284(by)-284(the)-283(compiler)57(,)-283(and)-284(the)-284(mea-)]TJ 0.98 0 0 1 54 518.755 Tm [(sur)8(ements)-233(ar)8(e)-233(use)-7(d)-233(to)-234(prune)-233(the)-233(state)-233(space)10(.)-233(Unlike)-234(pr)9(e)7(vious)]TJ 1.02 0 0 1 53.631 506.799 Tm [(w)8(ork)-250(on)-249(multi-v)8(ersion)-250(compilers)-249([)]TJ 0.55 1 0 0.15 k 1 0 0 1 196.274 506.799 Tm (17)Tj 0 g 1.02 0 0 1 205.539 506.799 Tm (,)Tj 0.55 1 0 0.15 k 1 0 0 1 210.31 506.799 Tm (33)Tj 0 g 1.02 0 0 1 219.575 506.799 Tm (,)Tj 0.55 1 0 0.15 k 1 0 0 1 224.345 506.799 Tm (38)Tj 0 g 1.02 0 0 1 233.61 506.799 Tm [(])-249(that)-250(fo)-7(cus)-249(on)]TJ 1.002 0 0 1 54 494.844 Tm [(adapting)-250(individual)-249(functions)-250(that)-250(a)1(r)7(e)-249(\020hot")49(,)-250(the)-249(adaptation)]TJ 1.02 0 0 1 54 482.889 Tm (in)Tj /T1_2 9.963 Tf 10.598 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.054 0 Td [(w)8(orks)-251(at)-251(the)-250(whole)-251(pr)8(ogram)-251(le)7(v)8(el)-251(and)-251(can)-251(r)8(eason)]TJ 0.99 0 0 1 54 470.934 Tm [(ab)-10(out)-251(the)-252(interactions)-251(b)-10(etw)8(e)-7(en)-251(op)-7(erations)-252(acr)9(oss)-252(the)-251(whole)]TJ 0.995 0 0 1 54 458.979 Tm [(data)-251(\036o)7(w)-251(graph,)-252(such)-251(as)-251(con\036icting)-251(memor)-15(y)-251(allo)-8(cations)-251(for)]TJ 0.98 0 0 1 54 447.024 Tm [(di\035er)8(ent)-235(fusion)-235(choices)-235(\(\237)]TJ 0.55 1 0 0.15 k 106.998 0 Td (3.2)Tj 0 g [(\),)-235(assignment)-235(of)-235(kernels)-235(to)-235(mul-)]TJ 1.017 0 0 1 54 435.068 Tm [(tiple)-246(str)8(eams)-245(in)-246(a)-245(histor)-15(y-awar)8(e)-246(manner)58(,)-245(\(\237)]TJ 0.55 1 0 0.15 k 177.075 0 Td (3.3)Tj 0 g [(\),)-245(and)-246(so)-245(on.)]TJ 1.014 0 0 1 53.701 423.113 Tm [(The)-247(custom-wir)8(er)-248(p)-7(erforms)-247(this)-247(e)7(xploration)-247(in)-248(a)]TJ /T1_2 9.963 Tf 199.11 0 Td [(w)8(ork)-247(con-)]TJ 0.991 0 0 1 54 411.158 Tm [(ser)-15(ving)]TJ /T1_1 9.963 Tf 31.099 0 Td [(manner:)-252(a)-253(small)-252(numb)-10(er)-253(\()]TJ /T1_2 9.963 Tf [(e)10(.g.)]TJ /T1_1 9.963 Tf [(,)-252(a)-253(fe)7(w)-252(thousand)-253(out)-252(of)]TJ 1.01 0 0 1 54 399.203 Tm [(millions\))-249(of)-248(mini-batches)-249(is)-248(use)-7(d)-248(for)-249(e)7(xploration)-249(while)-248(still)]TJ 1 0 0 1 54 387.248 Tm [(making)-250(useful)-250(training)-250(pr)8(ogr)8(ess.)]TJ 0.987 0 0 1 63.963 375.293 Tm [(Fr)8(om)-254(a)-254(practical)-254(vie)7(wp)-7(oint,)-254(this)-254(ne)7(w)-254(division)-254(of)-254(function-)]TJ 1 0 0 1 54 363.337 Tm [(ality)-250(has)-250(tw)8(o)-250(ke)7(y)-250(implications)-250(for)-250(the)-250(compiler:)]TJ /T1_3 9.963 Tf T* (Simplicity:)Tj /T1_1 9.963 Tf 1.02 0 0 1 109.227 351.382 Tm [(The)-311(compiler)-311(do)-7(es)-310(not)-311(ne)-7(e)-7(d)-311(to)-311(implement)-310(a)]TJ 1.014 0 0 1 54 339.427 Tm [(detaile)-7(d)-247(cost)-248(mo)-6(del)-248(of)-247(the)-247(DNN)-248(op)-7(erators)-247(or)-247(the)-248(har)8(dwar)8(e)]TJ 1.02 0 0 1 53.701 327.472 Tm (\()Tj /T1_2 9.963 Tf [(e)10(.g.)]TJ /T1_1 9.963 Tf [(,)-304(multiple)-304(generations)-304(of)-304(GP)-49(Us\).)-304(This)-304(is)-304(signi\033cant)-304(in)]TJ 0.293 -11.955 Td [(the)-315(DNN)-315(conte)7(xt)-315(wher)8(e)-315(b)-10(oth)-315(e)7(v)8(olv)8(e)-315(at)-316(a)-315(rapid)-315(pace)10(.)-315(The)]TJ 1 0 0 1 54 303.562 Tm [(compiler)-250(co)-7(debase)-250(r)8(emains)-250(simple)-250(and)-250(maintainable)10(.)]TJ /T1_3 9.963 Tf 0 -11.956 TD [(Long-tail)-203(Co)7(v)8(erage:)]TJ /T1_1 9.963 Tf 0.98 0 0 1 143.66 291.606 Tm [(In)-207(a)-207(traditional)-207(compiler)61(,)-207(the)-207(engine)-7(er-)]TJ -91.49 -11.955 Td [(ing)-241(e\035ort)-241(ne)-7(e)-7(de)-7(d)-241(for)-241(an)-241(optimization)-241(is)-241(high)-241(b)-11(e)-7(cause)-241(its)-241(end-)]TJ 1.001 0 0 1 54 267.696 Tm [(to-end)-249(impact)-249(and)-250(interactions)-249(ne)-7(e)-7(d)-249(to)-249(b)-10(e)-249(mo)-7(delle)-7(d.)-249(H)-1(e)1(n)-1(ce)]TJ 1.016 0 0 1 54 255.741 Tm [(only)-245(widely)-245(applicable)-245(optimizations)-245(make)-245(the)-245(cut.)-245(In)-244(con-)]TJ 0.99 0 0 1 54 243.786 Tm [(trast,)-253(with)-252(the)-253(enumeration)-253(appr)8(oach)-252(in)]TJ /T1_2 9.963 Tf 165.16 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf [(,)-253(the)-252(compiler)]TJ 0.995 0 0 1 54 231.831 Tm [(can)-250(b)-10(e)-251(aggr)8(essiv)8(e)-250(and)-251(go)-250(after)-251(e)7(v)9(en)-251(optimizations)-250(that)-251(only)]TJ 1.02 0 0 1 54 219.875 Tm [(b)-10(ene\033t)-327(5%)-327(of)-327(mo)-7(dels,)-327(b)-10(e)-7(cause)-327(it)-327(do)-7(es)-327(not)-327(ne)-7(e)-7(d)-327(to)-327(r)8(eason)]TJ 0 -11.955 TD [(ab)-10(out)-288(its)-289(p)-7(erformance)10(.)-289(This)-288(is)-289(particularly)-288(useful)-289(in)-288(cases)]TJ -0.362 -11.955 Td [(wher)8(e)-250(r)8(esear)7(chers)-250(tr)-14(y)-250(out)-250(esoteric)-250(mo)-7(del)-250(structur)8(es:)-250(these)]TJ 0.981 0 0 1 54 184.01 Tm [(ar)8(e)-254(pr)8(e)-7(cisely)-255(the)-254(mo)-7(dels)-254(that)-255(matter)-254(for)-254(AI)-255(inno)7(vation,)-254(y)8(et)-254(a)]TJ 1 0 0 1 54 172.055 Tm [(traditional)-250(compiler)-250(cannot)-250(a\035or)8(d)-250(to)-250(optimize)10(.)]TJ /T1_3 9.963 Tf 0 -20.922 TD [(4.3)-1000(Fine-graine)-7(d)-250(Pr)8(o\033ling)]TJ /T1_1 9.963 Tf 0.999 0 0 1 53.701 136.189 Tm [(The)-251(ke)7(y)-250(me)-7(chanism)-251(that)-250(enables)]TJ /T1_2 9.963 Tf 135.78 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.05 0 Td [(to)-251(manage)-250(the)-251(large)]TJ 0.991 0 0 1 54 124.234 Tm [(state)-253(space)-253(during)-254(e)8(xploration,)-254(is)-253(\033ne-graine)-7(d)-253(pr)8(o\033ling.)-253(A)34(u-)]TJ 1.02 0 0 1 54 112.279 Tm [(totuning)-313(systems)-312(such)-313(Halide)-312(Op)-7(enT)38(uner)-312([)]TJ 0.55 1 0 0.15 k 1 0 0 1 235.984 112.279 Tm (3)Tj 0 g 1.02 0 0 1 240.616 112.279 Tm [(])-313(and)-312(T)62(ensor)]TJ -182.957 -11.955 Td [(Compr)8(ehensions)-281([)]TJ 0.55 1 0 0.15 k 1 0 0 1 130.534 100.324 Tm (30)Tj 0 g 1.02 0 0 1 139.799 100.324 Tm [(])-281(vie)7(w)-282(the)-281(whole)-281(co)-7(de)-282(as)-281(a)-281(black)-281(b)-10(o)7(x)]TJ -84.117 -11.955 Td [(and)-286(measur)7(e)-286(only)-287(end-to-end)-286(latency;)-287(the)7(y)-286(then)-287(use)-286(a)-287(ge-)]TJ 1.011 0 0 1 54 76.413 Tm [(netic)-248(algorithm)-248(to)-247(e)6(xplor)8(e)-247(the)-248(state)-248(space;)-248(in)-248(such)-247(a)-248(mo)-7(del,)]TJ 0.98 0 0 1 317.955 710.037 Tm [(the)-250(state)-249(space)-250(e)7(xploration)-250(can)-249(only)-250(happ)-7(en)-250(one)]TJ /T1_2 9.963 Tf 198.442 0 Td (mutation)Tj /T1_1 9.963 Tf 38.801 0 Td (at)Tj 0.982 0 0 1 317.955 698.082 Tm [(a)-254(time)-255(b)-10(e)-7(cause)-255(multiple)-254(changes)-254(will)-255(confound)-254(the)-254(measur)8(e-)]TJ 1.009 0 0 1 317.955 686.127 Tm [(ment.)-247(In)-247(contrast,)]TJ /T1_2 9.963 Tf 74.123 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.016 0 Td [(p)-7(erforms)-247(hierar)8(chical)-247(\033ne-graine)-7(d)]TJ 0.994 0 0 1 317.955 674.172 Tm [(pr)8(o\033ling)-252(in)-251(a)-252(lightw)8(eight)-252(manner;)-251(for)-252(e)7(xample)10(,)-252(the)-251(time)-252(for)]TJ 1.02 0 0 1 317.955 662.217 Tm [(each)-249(GE)-1(MM)-249(is)-249(measur)7(e)-6(d,)-250(and)-249(simultane)-7(ously)-250(the)-249(time)-250(for)]TJ 0.98 0 0 1 317.955 650.262 Tm [(the)-249(o)7(v)9(erall)-249(gr)8(oup)-249(of)-248(GEMMs)-249(within)-249(a)-249(lay)9(er)-249(is)-249(also)-248(measur)8(e)-7(d.)]TJ -0.305 -11.956 Td [(This)-237(allo)7(ws)]TJ /T1_2 9.963 Tf 48.705 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 23.914 0 Td [(to)-237(change)-237(multiple)-237(e)7(xploration)-237(parameters)]TJ -72.314 -11.955 Td [(in)-219(the)-218(same)-219(iteration,)-219(signi\033cantly)-218(r)8(e)-7(ducing)-219(the)-218(numb)-11(er)-218(of)-219(it-)]TJ 0 -11.955 TD [(erations)-186(for)-185(e)7(xploration.)-186(In)-186(general,)-186(the)-186(\033ne-graine)-7(d)-185(pr)8(o\033ling)]TJ 1 0 0 1 317.955 602.441 Tm [(is)-250(crucial)-250(to)-250(most)-250(forms)-250(of)-250(e)7(xploration)-250(describ)-10(e)-7(d)-250(b)-10(elo)7(w)59(.)]TJ 1.02 0 0 1 327.918 590.486 Tm [(The)-309(right)-309(pr)7(o\033ling)-309(metric)-309(to)-309(use)-309(is)-309(another)-310(ke)7(y)-309(asp)-7(e)-7(ct.)]TJ -10.236 -11.955 Td [(While)-296(elapse)-7(d)-297(time)-296(is)-297(the)-296(most)-297(natural)-296(metric)-297(that)-296(w)8(orks)]TJ 0.991 0 0 1 317.955 566.575 Tm [(in)-251(simple)-252(e)7(xplorations)-251(such)-251(as)-252(GEMM)-251(kernels)-252(and)-251(fusion,)-251(it)]TJ 1.008 0 0 1 317.955 554.62 Tm [(fails)-247(to)-247(captur)8(e)-247(the)-246(dynamics)-247(when)-247(multiple)-247(kernels)-247(run)-246(in)]TJ 1.02 0 0 1 317.955 542.665 Tm [(parallel)-264(on)-264(di\035er)8(ent)-265(str)8(eams.)-264(W)78(e)-264(ther)8(efor)8(e)-264(cho)-7(ose)-264(custom)]TJ T* [(metrics;)-278(for)-279(str)8(eams)-278(w)8(e)-278(use)-279(the)-278(time)-278(for)-279(completion)-278(of)-278(all)]TJ 1 0 0 1 317.955 518.755 Tm [(kernels)-250(sche)-7(dule)-7(d)-250(acr)8(oss)-250(str)8(eams.)]TJ /T1_3 9.963 Tf 0 -32.877 TD [(4.4)-1000(Enumerator)]TJ /T1_1 9.963 Tf 0.992 0 0 1 317.656 470.934 Tm [(The)-251(enumerator)-251(generates)]TJ /T1_2 9.963 Tf 109.902 0 Td [(template)-7(d)-251(sche)-7(dules)]TJ /T1_1 9.963 Tf 81.07 0 Td [(of)-251(e)7(xe)-7(cution,)]TJ 1 0 0 1 317.955 458.979 Tm [(using)-250(static)-250(kno)7(wle)-7(dge)-250(and)-250(general)-250(graph)-250(optimizations.)]TJ /T1_3 9.963 Tf T* [(4.4.1)-1000(Static)-250(Analysis)]TJ /T1_1 9.963 Tf 1.02 0 0 1 317.955 411.158 Tm [(One)-341(ke)7(y)-340(part)-341(of)-340(the)-341(enumeration)-341(is)-340(sele)-7(ction)-341(of)-340(GEMMs)]TJ 1.001 0 0 1 317.955 399.203 Tm [(for)-250(fusion.)-249(T)63(o)-250(sele)-7(ct)-249(candidate)-250(no)-7(des)-249(for)-250(fuse)-7(d)-249(GEMMs,)-250(the)]TJ 1.02 0 0 1 317.955 387.248 Tm [(enumerator)-280(uses)-279(simple)-280(graph)-280(pattern)-279(matching.)-280(GEMMs)]TJ 1.015 0 0 1 317.587 375.293 Tm [(which)-246(hav)8(e)-247(a)-246(common)-247(argument,)-246(and)-247(no)-246(dep)-7(endency)-246(r)8(ela-)]TJ 1.02 0 0 1 317.955 363.337 Tm [(tion)-287(among)-288(ar)8(e)-287(chosen)-287(as)-288(candidates)-287(for)-287(fusion.)-288(Consider)]TJ 1.007 0 0 1 317.955 351.382 Tm [(the)-248(follo)7(wing)-249(e)7(xample)-248(fr)8(om)-248(the)-249(Pytor)8(ch)-248(graph)-248(trace)-249(\(the)-248(%)]TJ 0.997 0 0 1 317.955 339.427 Tm [(no)-7(des)-251(ar)8(e)-252(the)-251(op)-7(erand)-252(tensors,)-251(and)-251(mm)-252(is)-251(the)-252(op)-7(eration)-251(for)]TJ 1 0 0 1 317.955 327.472 Tm [(matrix)-250(multiplication\))]TJ /T1_4 9.963 Tf -0.249 -11.955 Td [(%10)-500(=)-500(mm)-500(\(%1,)-500(%5\))]TJ 0 -11.955 TD [(%11)-500(=)-500(mm)-500(\(%1,)-500(%6\))]TJ /T1_1 9.963 Tf 0.999 0 0 1 317.955 291.606 Tm [(In)-251(this)-251(e)7(xample)10(,)-252(b)-10(oth)-251(the)-251(op)-7(erations)-251(can)-251(b)-10(e)-251(r)8(eplace)-7(d)-252(with)-251(a)]TJ 1.012 0 0 1 317.955 279.651 Tm [(single)-248(op)-7(eration)-248(pr)8(o)7(vide)-7(d)-248(ther)7(e)-248(is)-248(no)-248(dep)-7(endence)-248(b)-10(etw)8(e)-7(en)]TJ 1.004 0 0 1 317.636 267.696 Tm [(%5)-249(and)-250(%6.)-249(Multiple)-250(such)-249(fusion)-250(sets)-249(ar)8(e)-250(also)-249(chosen)-249(for)-250(fu-)]TJ 1.006 0 0 1 317.955 255.741 Tm [(sion)-247(along)-248(the)-247(other)-247(dimension)-248(to)-247(generate)-247(2-D)-248(fusion)-247(sets.)]TJ 0.983 0 0 1 317.606 243.786 Tm [(At)-255(a)-255(high)-255(le)7(v)8(el,)-255(this)-255(is)-255(a)-255(graph)-255(colouring)-255(pr)8(oblem.)-255(T)64(o)-255(r)8(e)-7(duce)]TJ 0.98 0 0 1 317.955 231.831 Tm [(the)-220(state)-221(space)10(,)-220(w)8(e)-220(only)-221(consider)-220(no)-7(des)-220(which)-221(hav)8(e)-220(the)-220(same)]TJ 1 0 0 1 317.955 219.875 Tm [(pr)8(o)7(v)8(enance)-250(\()17(wrt)-250(GEMM)-250(no)-7(des)-250(only)17(\).)]TJ 1.008 0 0 1 327.918 207.92 Tm [(Fusion)-248(Ladders)-247(ar)8(e)-248(another)-248(pattern)-247(that)-248(the)-247(static)-248(p)-7(olicy)]TJ 1.02 0 0 1 317.955 195.965 Tm [(e)7(xploits.)-325(A)-324(commonly)-325(obser)-14(v)8(e)-7(d)-325(pattern)-324(in)-324(the)-325(graph)-324(is)-324(a)]TJ 1 0 0 1 317.955 184.01 Tm [(GEMM-accumulator)-250(ladder)59(.)-250(Consider)-250(the)-250(follo)7(wing:)]TJ /T1_4 9.963 Tf -0.249 -11.955 Td [(%10)-500(=)-500(mm)-500(\(%1,)-500(%5\))]TJ T* [(%11)-500(=)-500(mm)-500(\(%2,)-500(%6\))]TJ 0 -11.956 TD [(%12)-500(=)-500(add)-500(\(%10,)-500(%11\))]TJ /T1_1 9.963 Tf 1.02 0 0 1 317.606 136.189 Tm [(All)-341(these)-341(no)-7(des)-341(can)-342(b)-9(e)-342(r)8(eplace)-7(d)-341(by)-341(a)-341(single)-341(no)-7(de)-341(\(if)-341(%10)]TJ 0.992 0 0 1 317.955 124.234 Tm [(and)-252(%11)-251(ar)8(e)-252(not)-251(use)-7(d)-252(else)7(wher)8(e\).)-252(This)-251(is)-252(e)7(xtende)-7(d)-251(to)-252(longer)]TJ 0.98 0 0 1 317.955 112.279 Tm [(ladders)-215(and)-215(multiple)-216(such)-215(ladders)-215(ar)8(e)-215(also)-215(chosen)-216(to)-215(b)-10(e)-215(fuse)-7(d.)]TJ 1.02 0 0 1 317.955 100.324 Tm [(Note)-261(that)-262(while)-261(the)-262(enumerator)-261(identi\033es)]TJ /T1_2 9.963 Tf 171.931 0 Td (maximal)Tj /T1_1 9.963 Tf 38.023 0 Td (fusion)Tj 1.003 0 0 1 317.955 88.369 Tm [(gr)8(oups,)-250(it)-250(is)-250(up)-250(to)-250(the)-250(custom-wir)8(er)-250(to)-250(\033gur)8(e)-250(out)-250(the)-251(actual)]TJ 1 0 0 1 317.955 76.413 Tm [(granularity)-250(of)-250(fusion)-250(by)-250(chunking)-250(the)-250(fusion)-250(gr)8(oup)10(.)]TJ ET /QITE_maskingtape BMC 1 g 46.37 733.8 518.3 18.19 re f EMC /Artifact <>BDC q 1 0 0 1 54 755.4614258 cm 0 g /GS0 gs /Fm0 Do Q EMC /Artifact <>BDC q 1 0 0 1 371.2230225 755.4614258 cm 0 g /GS0 gs /Fm1 Do Q EMC /Artifact <>BDC q 1 0 0 1 299.7244873 38.5740509 cm 0 g /GS0 gs /Fm2 Do Q EMC endstream endobj 729 0 obj <>>>/Resources 738 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (Session: ) Tj 31.667 0 Td (Machine ) Tj 34.607 0 Td (Learning ) Tj 34.998 0 Td (III) Tj ET endstream endobj 730 0 obj <>>>/Resources 735 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (ASPLOS\22219, ) Tj 46.094 0 Td (April ) Tj 20.417 0 Td (13\22617, ) Tj 25.765 0 Td (2019, ) Tj 20.773 0 Td (Providence, ) Tj 45.018 0 Td (RI, ) Tj 12.269 0 Td (USA) Tj ET endstream endobj 731 0 obj <>>>/Resources 732 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (914) Tj ET endstream endobj 732 0 obj <> endobj 733 0 obj <> endobj 734 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 735 0 obj <> endobj 736 0 obj <> endobj 737 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 738 0 obj <> endobj 739 0 obj <> endobj 740 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 741 0 obj <> endobj 742 0 obj <>stream BT /T1_0 9.963 Tf 53.691 737.534 Td [(A)12(stra:)-292(Exploiting)-250(Pr)8(e)-7(dictability)-250(to)-250(Optimize)-250(De)-7(ep)-250(Learning)]TJ 294.963 0 Td [(ASPLOS)-250(`19,)-250(April)-250(13\02517,)-250(2019,)-250(Pr)8(o)7(vidence)10(,)-250(RI,)-250(USA)]TJ /T1_1 9.963 Tf 1.005 0 0 1 54 710.037 Tm [(\033guring)-248(out)-247(fusion)-248(gr)8(oups)-247(is)-248(challenging,)-247(ne)-7(cessitating)-248(the)]TJ 1 0 0 1 54 698.082 Tm [(measur)8(ement-driv)8(en)-250(appr)8(oach)-250(that)]TJ /T1_2 9.963 Tf 145.942 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.045 0 Td [(emplo)7(ys.)]TJ /T1_3 9.963 Tf -169.987 -20.921 Td [(3.3)-1000(Using)-250(multiple)-250(str)8(eams)]TJ /T1_1 9.963 Tf 1.02 0 0 1 53.701 662.217 Tm [(The)-370(GP)-48(U)-369(computation)-370(mo)-7(del)-370(pr)8(o)7(vides)-370(an)-370(abstraction)-370(of)]TJ 1.006 0 0 1 54 650.262 Tm [(str)8(eams)-248(to)-248(allo)7(w)-249(parallel)-248(e)7(xe)-7(cution)-248(of)-248(indep)-7(endent)-248(kernels,)]TJ 1.02 0 0 1 53.631 638.306 Tm [(which)-262(is)-262(another)-263(way)-262(to)-262(e)7(xploint)-262(parallelism)-262(when)-262(fusion)]TJ 0.98 0 0 1 54 626.351 Tm [(do)-7(esn't)-170(apply)60(.)-171(While)-170(sche)-7(duling)-170(op)-7(erations)-170(on)-170(multiple)-170(str)8(eams,)]TJ 1.008 0 0 1 54 614.396 Tm [(one)-249(ne)-7(e)-7(ds)-249(to)-250(balance)-249(utilization)-249(of)-250(str)8(eams,)-249(while)-249(av)8(oiding)]TJ 1.007 0 0 1 54 602.441 Tm [(dep)-7(endent)-248(op)-7(erations)-248(in)-249(the)-248(DFG)-248(fr)8(om)-249(b)-10(eing)-248(sche)-7(dule)-7(d)-248(on)]TJ 1.02 0 0 1 54 590.486 Tm [(di\035er)8(ent)-269(str)8(eams)-269(\(to)-268(r)8(e)-7(duce)-269(synchr)8(onization)-268(cost\).)-269(In)-269(gen-)]TJ 0 -11.955 TD [(eral,)-302(if)-302(op)-7(eration)-302(B)-302(is)-302(dep)-7(endent)-302(on)-302(op)-7(eration)-302(A)71('s)-302(output,)]TJ 1.002 0 0 1 54 566.575 Tm [(sche)-7(duling)-249(B)-249(in)-248(a)-249(di\035er)8(ent)-249(str)8(eam)-249(and)-248(for)8(cing)-249(it)-249(to)-249(wait)-248(for)]TJ 1.02 0 0 1 53.651 554.62 Tm [(A)-297(w)8(ould)-297(pr)8(e)7(v)8(ent)-297(other)-297(p)-6(ossibly)-297(indep)-7(endent)-297(kernels)-296(that)]TJ 0.342 -11.955 Td [(could)-270(hav)7(e)-270(run)-270(in)-271(parallel)-270(without)-270(waiting)-271(for)-270(A.)-270(Be)-7(cause)]TJ T* [(of)-291(the)-290(asynchr)8(onous)-291(e)7(xe)-7(cution)-291(mo)-6(del)-291(of)-291(GP)-48(Us)-290(wher)7(e)-290(the)]TJ T* [(kernels)-260(ar)8(e)-261(launche)-7(d)-260(long)-260(b)-10(efor)8(e)-260(the)7(y)-261(actually)-260(e)7(xe)-7(cute)-260(on)]TJ 0 -11.956 TD [(the)-300(GP)-48(U)23(,)-300(the)-300(\033ne-graine)-7(d)-300(completion)-300(time)-301(of)-300(the)-300(kernels)]TJ 0.999 0 0 1 54 494.844 Tm [(cannot)-252(b)-10(e)-251(estimate)-7(d)-252(statically;)-252(further)59(,)-251(the)-252(completion)-252(time)]TJ 1.02 0 0 1 54 482.889 Tm [(of)-277(a)-278(kernel)-277(can)-277(b)-10(e)-278(a\035e)-6(cte)-7(d)-278(by)-277(interfer)8(ence)-277(acr)7(oss)-277(str)8(eams.)]TJ 0 -11.955 TD [(Hence)10(,)-292(balance)-7(d)-292(utilization)-291(of)-292(multiple)-292(str)8(eams)-292(is)-291(har)8(d)-292(to)]TJ T* [(achie)7(v)8(e)-285(while)-284(dispatching)-284(the)-285(op)-6(erations)-285(asynchr)8(onously)58(.)]TJ T* [(Not)-291(surprisingly)58(,)-291(T)62(ensor\036o)7(w)-291(and)-291(p)7(y)38(T)62(or)8(ch)-291(do)-291(not)-291(take)-291(ad-)]TJ 0.98 0 0 1 53.751 435.068 Tm [(vantage)-248(of)-247(str)8(eams,)-248(and)-247(use)-248(a)-248(single)-247(se)-8(quential)-247(str)8(eam.)-248(With)]TJ /T1_2 9.963 Tf 0.254 -11.955 Td [(A)12(stra)]TJ /T1_1 9.963 Tf [(,)-202(the)-201(dynamic)-202(adaptation)-201(allo)7(ws)-201(picking)-202(the)-201(right)-202(sche)-7(d-)]TJ 1.02 0 0 1 54 411.158 Tm [(ule)-256(on)-256(multiple)-256(str)8(eams)-256(without)-256(comple)7(x)-256(r)8(easoning)-256(ab)-10(out)]TJ 1 0 0 1 54 399.203 Tm [(op)-7(eration)-250(latencies.)]TJ /T1_3 9.963 Tf 0 -20.922 TD [(3.4)-1000(Other)-250(optimizations)]TJ /T1_1 9.963 Tf 1.015 0 0 1 53.522 363.337 Tm [(While)-245(softwar)8(e)-246(accelerators)-245(such)-245(as)-246(cuDNN)-245(op)-7(erate)-245(at)-246(the)]TJ 1.02 0 0 1 54 351.382 Tm [(le)7(v)8(el)-247(of)-247(individual)-247(DNN)-247(lay)8(ers,)-247(ther)8(e)-247(ar)8(e)-247(opp)-7(ortunities)-247(for)]TJ 0 -11.955 TD [(cr)8(oss)-256(lay)8(er)-257(or)-256(whole-graph)-256(optimizations)-256(that)-256(use)-256(conte)7(xt)]TJ 0.98 0 0 1 54 327.472 Tm [(fr)8(om)-226(the)-226(whole)-226(mo)-7(del)-226(to)-226(apply)-226(transformations.)-226(An)-226(e)7(xample)]TJ 1.02 0 0 1 54 315.517 Tm [(is)-300(to)-300(dynamically)-300(trade)-299(o)-1(\035)-299(computation)-300(for)-300(memor)-15(y;)-300(sav-)]TJ T* [(ing)-277(part)-276(of)-277(the)-276(memor)-15(y)-277(use)-7(d)-276(for)-277(for)-14(war)7(d-pass)-276(activations)]TJ 1.009 0 0 1 54 291.606 Tm [(by)-248(r)8(e)-7(doing)-248(the)-248(computation,)-248(thus)-248(accommo)-7(dating)-248(a)-247(bigger)]TJ 1.02 0 0 1 54 279.651 Tm [(mo)-7(del)-248([)]TJ 0.55 1 0 0.15 k 1 0 0 1 85.725 279.651 Tm (34)Tj 0 g 1.02 0 0 1 94.991 279.651 Tm [(].)-248(This)-248(idea)-248(can)-249(b)-9(e)-249(use)-6(d)-249(for)-248(optimization)-248(as)-248(w)8(ell,)]TJ -40.187 -11.955 Td [(if)-252(the)-252(cost)-252(of)-252(r)8(e)-7(computation)-252(of)-252(some)-252(lay)8(ers)-252(of)-252(the)-252(for)-15(war)8(d)]TJ T* [(pass)-248(is)-248(lo)7(w)8(er)-248(than)-248(the)-248(parallelism)-248(b)-9(ene\033t)-248(fr)8(om)-248(supp)-7(orting)]TJ T* [(say)-291(a)-292(2x)-291(larger)-291(mini-batch)-292(size)10(,)-291(again)-291(a)-292(comple)7(x)-291(dynamic)]TJ 1 0 0 1 54 231.831 Tm [(that)-250(ne)-7(e)-7(ds)-250(measur)8(ement.)]TJ 1.02 0 0 1 63.963 219.875 Tm [(Distribute)-7(d)-249(or)-250(multi-GP)-48(U)-250(training)-250(is)-249(another)-250(imp)-7(ortant)]TJ 0.98 0 0 1 54 207.92 Tm [(dimension)-227(of)-227(the)-227(optimization)-228(state)-227(space)10(.)-227(Dep)-7(ending)-227(on)-227(the)]TJ T* [(communication)-222(cost)-221(of)-222(the)-221(mo)-7(del)-222(and)-222(the)-221(physical)-222(character-)]TJ T* [(istics)-205(of)-205(the)-205(netw)8(ork,)-205(the)-205(choice)-205(of)-205(ideal)-205(degr)8(e)-7(e)-205(of)-205(parallelism)]TJ 1.02 0 0 1 54 172.055 Tm [(fr)8(om)-254(a)-253(cost-b)-10(ene\033t)-253(p)-7(ersp)-7(e)-7(ctiv)8(e)10(,)-254(could)-253(b)-10(e)-253(taken)-254(in)-253(an)-254(auto-)]TJ 1 0 0 1 54 160.1 Tm [(mate)-7(d)-250(manner)-250(with)-250(runtime)-250(measur)8(ement)-250(and)-250(adaptation.)]TJ 1.02 0 0 1 63.963 148.144 Tm [(In)-261(this)-261(pap)-7(er)58(,)-261(w)8(e)-261(only)-261(fo)-7(cus)-261(on)-261(the)-261(dimensions)-261(liste)-7(d)-261(in)]TJ 0.999 0 0 1 54 136.189 Tm [(sub-se)-7(ctions)]TJ 0.55 1 0 0.15 k 52.772 0 Td (3.1)Tj 0 g (,)Tj 0.55 1 0 0.15 k 16.139 0 Td (3.2)Tj 0 g [(,)-250(and)]TJ 0.55 1 0 0.15 k 33.624 0 Td (3.3)Tj 0 g [(,)-250(but)-250(the)-250(appr)8(oach)-250(is)-250(applicable)]TJ 1 0 0 1 54 124.234 Tm [(to)-250(other)-250(dimensions)-250(as)-250(w)8(ell.)]TJ /T1_3 9.963 Tf 0 -20.921 TD [(3.5)-1000(Limitations)-250(of)-250(static)-250(optimization)]TJ /T1_1 9.963 Tf 1.01 0 0 1 54 88.369 Tm [(In)-248(each)-248(dimension)-248(of)-249(the)-248(choice)-248(space)-248(liste)-7(d)-248(ab)-10(o)7(v)8(e)10(,)-248(r)8(eason-)]TJ 1.02 0 0 1 54 76.413 Tm [(ing)-271(ab)-9(out)-271(which)-271(set)-271(of)-270(options)-271(w)8(ould)-271(b)-10(e)-270(most)-271(e\034cient)-271(by)]TJ 1.006 0 0 1 317.955 710.037 Tm [(statically)-249(mo)-7(delling)-248(the)-249(interactions)-248(is)-249(to)-7(o)-249(comple)7(x)-248(and)-249(e)7(x-)]TJ 1.02 0 0 1 317.955 698.082 Tm [(p)-7(ensiv)8(e)-315(if)-315(not)-315(infeasible)9(.)-315(A)12(dding)-316(to)-315(the)-315(comple)7(xity)-315(is)-315(the)]TJ 1 0 0 1 317.955 686.127 Tm [(rapid)-251(pace)-250(at)-251(which)-251(the)-250(\033eld)-251(of)-251(de)-7(ep)-250(learning)-251(e)7(v)8(olv)8(es,)-251(b)-10(oth)]TJ 1.02 0 0 1 317.955 674.172 Tm [(in)-256(terms)-256(of)-255(har)7(dwar)8(e)-256(\(rapid)-255(ne)6(w)-255(generations)-256(of)-256(GP)-48(Us,)-256(FP-)]TJ 0.98 0 0 1 317.955 662.217 Tm [(GA)12(s,)-246(ASICs)]TJ /T1_2 9.963 Tf 49.641 0 Td (etc.)Tj /T1_1 9.963 Tf [(\),)-246(and)-246(the)-246(compute)-246(mo)-7(del)-246(and)-246(APIs)-246(\()]TJ /T1_2 9.963 Tf [(e)10(.g.)]TJ /T1_1 9.963 Tf [(,)-246(ne)7(w)]TJ 0.981 0 0 1 317.955 650.262 Tm [(lay)8(er)-254(structur)9(es,)-254(no)7(v)8(el)-253(op)-8(erators)]TJ /T1_2 9.963 Tf 134.428 0 Td (etc.)Tj /T1_1 9.963 Tf [(\).)-254(Ther)8(efor)9(e)10(,)-254(e)7(v)8(en)-253(if)-254(one)]TJ 0.997 0 0 1 317.955 638.306 Tm [(had)-250(a)-249(sophisticate)-7(d)-250(static)-249(co)-1(st)-249(mo)-7(del)-250(that)-249(captur)8(e)-7(d)-250(the)-250(vari-)]TJ 1.012 0 0 1 317.955 626.351 Tm [(ous)-247(asp)-6(e)-7(cts)-247(of)-246(the)-247(interaction,)-246(such)-247(a)-246(mo)-7(del)-247(w)8(ould)-246(hav)8(e)-247(to)]TJ 1.02 0 0 1 317.955 614.396 Tm [(ke)-7(ep)-298(up)-298(with)-299(the)-298(fr)8(enetic)-298(pace)-299(at)-298(which)-298(the)-298(\033eld)-299(e)7(v)8(olv)8(es,)]TJ 0.994 0 0 1 317.955 602.441 Tm [(making)-251(in)-252(an)-251(e)-7(conomically)-251(unviable)-251(appr)8(oach.)-252(A)12(s)-251(an)-251(e)7(xam-)]TJ 1.02 0 0 1 317.955 590.486 Tm [(ple)10(,)-265(XLA)-265(is)-265(a)-264(static)-265(optimization)-265(lay)8(er)-265(for)-265(T)62(ensor\036o)7(w)-265(that)]TJ 0 -11.955 TD [(b)-10(ene\033ts)-316(some)-315(mo)-7(dels)-316(and)-316(hurts)-316(others)-315([)]TJ 0.55 1 0 0.15 k 1 0 0 1 487.793 578.531 Tm (18)Tj 0 g 1.02 0 0 1 497.058 578.531 Tm [(];)-316(b)-10(e)-7(cause)-315(it)-316(is)]TJ -175.591 -11.956 Td [(har)8(d)-329(to)-330(\033gur)8(e)-329(out)]TJ /T1_2 9.963 Tf 77.262 0 Td [(a)-329(priori)]TJ /T1_1 9.963 Tf 33.34 0 Td [(wher)8(e)-329(it)-330(hurts,)-329(XLA)-329(is)-329(still)-329(an)]TJ 0.98 0 0 1 317.955 554.62 Tm [(e)7(xp)-7(erimental)-219(featur)8(e)-219(that)-219(is)-219(turne)-7(d)-219(o\035)-219(by)-219(default;)-220(w)9(e)-219(pr)8(esent)]TJ 1 0 0 1 317.955 542.665 Tm [(a)-250(comparison)-250(of)]TJ /T1_2 9.963 Tf 67.726 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.045 0 Td [(and)-250(XLA)-250(in)-250(Se)-7(ction)]TJ 0.55 1 0 0.15 k [-250(6)]TJ 0 g (.)Tj /T1_2 9.963 Tf 0.98 0 0 1 327.918 530.71 Tm [(A)12(stra)]TJ /T1_1 9.963 Tf 23.294 0 Td [(pr)8(o)7(vides)-174(a)-175(ne)7(w)-175(alternativ)8(e)-175(to)-174(navigate)-175(the)-175(state)-175(space)]TJ -33.46 -11.955 Td [(of)-172(optimizations,)-171(enabling)-172(aggr)8(essiv)8(e)11(,)-172(long-tail)-172(optimizations,)]TJ 1 0 0 1 317.587 506.799 Tm [(without)-250(comple)7(x)-250(cost)-250(mo)-7(dels)-250(of)-250(the)-250(end-to-end)-250(stack.)]TJ /T1_3 11.955 Tf 0.368 -23.841 Td [(4)-1000(Design)-250(of)]TJ /T1_4 11.955 Tf 72.508 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 0.981 0 0 1 317.656 468.014 Tm [(The)-255(ke)7(y)-255(insight)-254(in)-255(the)-255(design)-255(of)]TJ /T1_2 9.963 Tf 131.952 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.092 0 Td [(is)-255(that)-255(the)-254(unique)-255(pr)8(e-)]TJ 0.98 0 0 1 317.955 456.059 Tm [(dictability)-173(of)-173(mini-batch-le)8(v)8(el)-173(computation)-173(in)-173(a)-172(de)-8(ep)-172(learning)]TJ 1.018 0 0 1 317.955 444.104 Tm [(training)-245(job)-246(can)-245(b)-10(e)-245(e)6(xploite)-6(d)-246(to)-245(adopt)-246(a)-245(fundamentally)-246(dif-)]TJ 1.02 0 0 1 317.955 432.149 Tm [(fer)8(ent)-249(appr)8(oach)-248(to)-249(optimizing)-248(DNNs,)-249(that)-248(gets)-249(ar)8(ound)-248(the)]TJ 1 0 0 1 317.955 420.194 Tm [(challenges)-250(of)-250(static)-250(optimization)-250(liste)-7(d)-250(in)-250(Se)-7(ction)]TJ 0.55 1 0 0.15 k 201.424 0 Td (3)Tj 0 g (.)Tj /T1_3 9.963 Tf -201.424 -21.849 Td [(4.1)-1000(Mini-batch)-250(pr)8(e)-7(dictability)]TJ /T1_1 9.963 Tf 0.98 0 0 1 317.606 383.401 Tm [(A)-217(DNN)-218(training)-217(job)-218(runs)-217(millions)-218(of)-217(mini-batches,)-218(each)-217(op)-8(er-)]TJ 0.356 -11.955 Td [(ating)-211(on)-212(a)-211(di\035er)8(ent)-211(set)-211(of)-212(training)-211(inputs.)-212(The)-211(e)7(xe)-7(cution)-211(time)]TJ 1.006 0 0 1 317.955 359.491 Tm [(of)-248(a)-249(mini-batch)-248(can)-249(b)-10(e)-248(any)-15(wher)8(e)-249(fr)8(om)-248(tens)-248(of)-249(millise)-7(conds)]TJ 0.982 0 0 1 317.955 347.535 Tm [(to)-255(a)-255(fe)7(w)-254(se)-8(conds)-254(dep)-8(ending)-254(on)-255(the)-255(mo)-7(del)-255(and)-255(har)8(dwar)8(e)11(.)-255(Im-)]TJ 0.98 0 0 1 317.955 335.58 Tm [(p)-7(ortantly)60(,)-215(indep)-7(endent)-215(of)-215(the)-215(actual)-215(inputs)-215(in)-215(the)-215(mini-batch,)]TJ 1.02 0 0 1 317.955 323.625 Tm [(the)-246(DNN)-245(p)-7(erforms)]TJ /T1_2 9.963 Tf 78.182 0 Td [(e)7(xactly)-246(the)-245(same)]TJ /T1_1 9.963 Tf 67.815 0 Td [(computation)-246(on)-245(e)7(v)8(er)-15(y)]TJ 0.98 0 0 1 317.955 311.67 Tm (mini-batch,)Tj 0.55 1 0 0.15 k /T1_1 7.273 Tf 1 0 0 1 365.571 315.286 Tm (1)Tj 0 g /T1_1 9.963 Tf 0.98 0 0 1 371.53 311.67 Tm [(as)-213(it)-213(go)-7(es)-213(thr)8(ough)-213(the)-212(same)-213(lay)8(ers)-213(and)-213(e)7(xe)-7(cutes)]TJ 1.01 0 0 1 317.955 299.715 Tm [(the)-249(same)-248(tensor)-249(op)-7(erations;)-248(the)-249(cost)-248(of)-249(the)-248(op)-7(erations)-249(\()]TJ /T1_2 9.963 Tf [(e)10(.g.)]TJ /T1_1 9.963 Tf (,)Tj 0.98 0 0 1 317.955 287.76 Tm [(matrix)-220(multiplication\))-220(dep)-7(ends)-220(only)-219(on)-220(the)-220(shap)-7(es)-220(of)-220(the)-220(ten-)]TJ 0 -11.956 TD [(sors)-248(\()17(which)-248(is)-248(constant)-248(acr)9(oss)-248(mini-batches\),)-248(rather)-248(than)-248(the)]TJ 0.988 0 0 1 317.955 263.849 Tm [(actual)-253(values.)-254(Hence)10(,)-253(if)-254(a)-253(mini-batch)-254(is)-253(pr)8(o\033le)-7(d)-253(for)-254(a)-253(certain)]TJ 0.98 0 0 1 317.955 251.894 Tm [(choice)-202(of)-202(optimization)-202(and)-202(it)-202(sp)-7(e)-8(e)-7(ds)-202(up)-202(the)-202(mini-batch)-202(by)-202(say)]TJ 0.989 0 0 1 317.955 239.939 Tm [(2x,)-253(it)-252(is)-253(guarante)-7(e)-7(d)-253(to)-253(also)-253(sp)-7(e)-7(e)-7(d)-253(up)-252(e)7(v)8(er)-15(y)-253(other)-253(mini-batch,)]TJ 1 0 0 1 317.955 227.984 Tm [(and)-250(hence)-250(the)-250(whole)-250(training)-250(job)20(,)-250(by)-250(the)-250(same)-250(factor)59(.)]TJ /T1_3 9.963 Tf 0 -21.849 TD [(4.2)-1000(A)-250(Ne)7(w)-250(Compiler-Runtime)-250(Interface)]TJ /T1_1 9.963 Tf 0.991 0 0 1 317.606 191.191 Tm [(At)-253(a)-253(high)-254(le)7(v)8(el,)]TJ /T1_2 9.963 Tf 64.275 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.077 0 Td [(is)-253(a)-253(compiler)-254(\025)-253(it)-253(takes)-253(e)7(xisting)-253(mo)-7(del)]TJ 1.004 0 0 1 317.955 179.236 Tm [(co)-7(de)-249(and)-249(generates)-249(an)-248(optimize)-7(d)-249(e)7(xe)-7(cution)-249(sche)-7(dule)10(.)-249(Ho)7(w-)]TJ 0.99 0 0 1 317.955 167.281 Tm [(e)7(v)8(er)60(,)-254(unlike)-254(a)-254(traditional)-255(compiler)60(,)]TJ /T1_2 9.963 Tf 141.808 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.084 0 Td [(p)-7(erforms)-254(an)-254(ampli-)]TJ 1.003 0 0 1 317.955 155.326 Tm [(\033e)-7(d)-250(variant)-251(of)]TJ /T1_2 9.963 Tf 59.745 0 Td [(multi-v)8(ersion)-250(compilation)]TJ /T1_1 9.963 Tf 104.474 0 Td ([)Tj 0.55 1 0 0.15 k 1 0 0 1 486.223 155.326 Tm (17)Tj 0 g 1.003 0 0 1 495.489 155.326 Tm (,)Tj 0.55 1 0 0.15 k 1 0 0 1 500.188 155.326 Tm (33)Tj 0 g 1.003 0 0 1 509.453 155.326 Tm (,)Tj 0.55 1 0 0.15 k 1 0 0 1 514.153 155.326 Tm (38)Tj 0 g 1.003 0 0 1 523.418 155.326 Tm [(],)-250(chang-)]TJ 0.98 0 0 1 317.955 143.37 Tm [(ing)-216(the)-216(traditional)-215(division)-216(of)-216(functionality)-216(b)-10(etw)8(e)-7(en)-216(the)-216(com-)]TJ 1 0 0 1 317.955 131.415 Tm [(piler)-250(and)-250(runtime)10(.)]TJ 1.001 0 0 1 327.918 119.46 Tm [(A)-251(traditional)-251(compiler)-251(p)-7(erforms)-251(tw)8(o)-251(tasks:)-251(\()12(a\))-251(it)-251(enumer-)]TJ 0.98 0 0 1 317.955 107.505 Tm [(ates)-211(the)-210(state)-211(space)-211(of)-210(r)8(ele)7(vant)-210(optimization)-1(s)1(,)-211(and)-211(\()-12(b\))-211(it)-210(ranks)]TJ ET q 1 0 0 1 317.9550018 95.8699951 cm 0.398 w 0 0 m 47.821 0 l S Q BT /T1_1 6.177 Tf 317.813 89.269 Td (1)Tj /T1_1 7.97 Tf 0.996 0 0 1 321.183 86.376 Tm [(One)-251(e)7(xception)-251(to)-251(this)-251(obser)-15(vation)-251(is)-251(dynamic)-251(graphs)-251(in)-251(frame)7(w)8(orks)-250(such)]TJ 1 0 0 1 317.955 76.413 Tm [(as)-250(Py)39(T)63(or)8(ch;)-250(w)8(e)-250(handle)-250(them)-250(with)-250(buckete)-7(d)-250(pr)8(o\033ling)-250(discusse)-7(d)-250(in)-250(\237)]TJ 0.55 1 0 0.15 k 219.05 0 Td (5.5)Tj ET /QITE_maskingtape BMC 1 g 46.37 733.8 518.3 18.19 re f EMC /Artifact <>BDC q 1 0 0 1 54 755.4614258 cm 0 g /GS0 gs /Fm0 Do Q EMC /Artifact <>BDC q 1 0 0 1 371.2230225 755.4614258 cm 0 g /GS0 gs /Fm1 Do Q EMC /Artifact <>BDC q 1 0 0 1 299.7244873 38.5740509 cm 0 g /GS0 gs /Fm2 Do Q EMC endstream endobj 743 0 obj <>>>/Resources 752 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (Session: ) Tj 31.667 0 Td (Machine ) Tj 34.607 0 Td (Learning ) Tj 34.998 0 Td (III) Tj ET endstream endobj 744 0 obj <>>>/Resources 749 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (ASPLOS\22219, ) Tj 46.094 0 Td (April ) Tj 20.417 0 Td (13\22617, ) Tj 25.765 0 Td (2019, ) Tj 20.773 0 Td (Providence, ) Tj 45.018 0 Td (RI, ) Tj 12.269 0 Td (USA) Tj ET endstream endobj 745 0 obj <>>>/Resources 746 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (913) Tj ET endstream endobj 746 0 obj <> endobj 747 0 obj <> endobj 748 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 749 0 obj <> endobj 750 0 obj <> endobj 751 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 752 0 obj <> endobj 753 0 obj <> endobj 754 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 755 0 obj <> endobj 756 0 obj <>stream BT /T1_0 9.963 Tf 53.691 737.534 Td [(ASPLOS)-250(`19,)-250(April)-250(13\02517,)-250(2019,)-250(Pr)8(o)7(vidence)10(,)-250(RI,)-250(USA)]TJ 438.344 0 Td [(Sivathanu,)-250(et)-250(al.)]TJ /T1_1 9.963 Tf -438.035 -27.497 Td [(2.4)-1000(Softwar)8(e)-250(accelerators)]TJ /T1_2 9.963 Tf 0.98 0 0 1 54 695.093 Tm [(Giv)8(en)-186(the)-187(comple)7(xity)-187(of)-186(fully)-187(utilizing)-186(the)-187(parallelism)-187(of)-186(GP)-50(U)]TJ -0.377 -11.955 Td [(with)-212(just)-211(lo)7(w-le)7(v)8(el)-211(kernels,)-212(p)-7(opular)-212(lay)8(er)-211(structur)8(es)-212(in)-211(DNNs)]TJ 1.02 0 0 1 54 671.183 Tm [(hav)8(e)-251(hand-optimize)-7(d)-250(\020)23(comp)-7(ound)-250(kernels\021)48(,)]TJ /T1_3 9.963 Tf 175.072 0 Td [(i.e)10(.)]TJ /T1_2 9.963 Tf [(,)-251(accelerator)]TJ 0.991 0 0 1 54 659.228 Tm [(implementations)-252(in)-252(softwar)8(e)10(.)-251(cuDNN)-252([)]TJ 0.55 1 0 0.15 k 1 0 0 1 210.44 659.228 Tm (7)Tj 0 g 0.991 0 0 1 215.072 659.228 Tm [(])-252(is)-252(a)-252(p)-7(opular)-252(e)8(xam-)]TJ 0.98 0 0 1 54 647.273 Tm [(ple)10(,)-254(that)-254(supp)-7(orts)-254(standar)8(d)-254(conv)8(olution)-254(lay)8(ers)-254(and)-254(r)8(e)-7(curr)8(ent)]TJ 0.989 0 0 1 54 635.318 Tm [(netw)8(ork)-254(lay)8(ers)-253(such)-254(as)-254(long-short)-253(term)-254(memor)-15(y)-254(\(LSTM\).)-254(In)]TJ 1.011 0 0 1 54 623.362 Tm [(r)8(e)-7(curr)8(ent)-247(lay)8(ers)-247(wher)8(e)-247(the)-247(granularity)-248(of)-247(individual)-247(op)-7(era-)]TJ 1.02 0 0 1 54 611.407 Tm [(tions)-263(is)-264(quite)-263(small,)-263(cuDNN)-264(pr)8(o)7(vides)-263(signi\033cant)-264(sp)-7(e)-7(e)-6(dup)-264(-)]TJ 0.98 0 0 1 54 599.452 Tm [(up)-214(to)-214(6x)-214(-)-215(compar)8(e)-7(d)-214(to)-214(default)-214(implementation)-214(in)-214(T)64(ensor\036o)7(w)]TJ 1 0 0 1 54 587.497 Tm [(or)-250(Py)39(T)63(or)8(ch.)]TJ 1.006 0 0 1 63.963 575.542 Tm [(Ther)8(e)-249(ar)8(e)-249(tw)8(o)-249(shortcomings)-249(with)-249(this)-249(appr)8(oach)-249(of)-249(hand-)]TJ 0.98 0 0 1 54 563.587 Tm [(optimize)-7(d)-242(accelerators.)-241(First,)-242(the)8(y)-242(can)-241(only)-242(cater)-241(to)-242(the)-241(most)]TJ 1.012 0 0 1 54 551.631 Tm [(p)-7(opular)-248(structur)8(es,)-248(and)-248(hence)-248(do)-249(not)-248(help)-248(with)-248(de)-7(ep)-248(learn-)]TJ 0.99 0 0 1 54 539.676 Tm [(ing)-254(e)7(xp)-7(erimentation)-254(wher)8(e)-254(r)8(esear)9(chers)-254(come)-254(up)-254(with)-254(no)7(v)8(el)]TJ 0.98 0 0 1 54 527.721 Tm [(structur)8(es;)-186(for)-185(e)7(xample)10(,)-185(the)7(y)-186(do)-185(not)-186(help)-185(with)-186(structur)8(es)-185(such)]TJ 1.006 0 0 1 54 515.766 Tm [(as)-250(MI-LSTM)-249([)]TJ 0.55 1 0 0.15 k 1 0 0 1 110.378 515.766 Tm (36)Tj 0 g 1.006 0 0 1 119.643 515.766 Tm [(],)-250(LSTM)-249(with)-250(Attention)-249([)]TJ 0.55 1 0 0.15 k 1 0 0 1 221.876 515.766 Tm (35)Tj 0 g 1.006 0 0 1 231.141 515.766 Tm [(],)-250(SC-RNN)-249([)]TJ 0.55 1 0 0.15 k 1 0 0 1 280.103 515.766 Tm (22)Tj 0 g 1.006 0 0 1 289.368 515.766 Tm (],)Tj 0.98 0 0 1 54 503.811 Tm [(RHN)-239([)]TJ 0.55 1 0 0.15 k 1 0 0 1 79.494 503.811 Tm (39)Tj 0 g 0.98 0 0 1 88.76 503.811 Tm (],)Tj /T1_3 9.963 Tf 8.121 0 Td (etc.)Tj /T1_2 9.963 Tf [(.)-239(Se)-7(cond,)-240(these)-239(APIs)-239(w)8(ork)-239(at)-239(the)-240(abstraction)-239(of)]TJ -43.591 -11.955 Td [(a)-233(single)-233(lay)8(er)61(,)-233(and)-233(hence)-233(cannot)-233(go)-233(after)-233(full-graph)-233(optimiza-)]TJ 1.02 0 0 1 54 479.9 Tm [(tion)-320(opp)-6(ortunities.)-321(With)]TJ /T1_3 9.963 Tf 103.583 0 Td [(A)12(stra)]TJ /T1_2 9.963 Tf [(,)-320(w)8(e)-319(automate)-320(this)-320(pr)8(o)-7(cess)]TJ 0.999 0 0 1 54 467.945 Tm [(of)-252(generating)-251(an)-252(accelerate)-7(d)-251(implementation)-252(for)-251(a)-252(long-tail)]TJ 0.98 0 0 1 54 455.99 Tm [(mo)-7(del)-189(structur)9(e)10(,)-189(and)-188(do)-188(so)-189(in)-188(a)-188(way)-189(that)-188(has)-189(visibility)-188(into)-188(the)]TJ 1.017 0 0 1 54 444.035 Tm [(full)-246(graph)-247(to)-246(balance)-247(con\036icting)-246(alternativ)8(es,)]TJ /T1_3 9.963 Tf 184.024 0 Td [(e)10(.g.)]TJ /T1_2 9.963 Tf [(,)-246(b)-10(etw)8(e)-7(en)]TJ 1.01 0 0 1 54 432.08 Tm [(fusion)-248(in)-248(the)-248(for)-15(war)8(d)-248(pass)-248(vs.)-248(in)-248(the)-248(backwar)8(d)-248(pass,)-248(which)]TJ 1.02 0 0 1 54 420.125 Tm [(may)-275(each)-274(r)8(e)-7(quir)8(e)-275(di\035er)8(ent)-275(allo)-7(cation)-274(strategies)-275(for)-275(tensor)]TJ 1 0 0 1 54 408.169 Tm [(obje)-7(cts.)]TJ /T1_1 11.955 Tf 0 -26.401 TD [(3)-1000(State)-250(space)-250(of)-250(optimizations)]TJ /T1_2 9.963 Tf 1.02 0 0 1 54 366.824 Tm [(In)-278(this)-278(se)-7(ction,)-278(w)8(e)-278(describ)-10(e)-278(the)-278(various)-278(dimensions)-278(of)-278(the)]TJ 0 -11.955 TD [(optimization)-305(state)-304(space)-305(for)-305(DNN)-305(training)-304(jobs,)-305(and)-305(illus-)]TJ 1.011 0 0 1 54 342.914 Tm [(trate)-248(the)-247(comple)6(xity)-247(of)-248(statically)-248(\033guring)-247(out)-248(the)-248(b)-10(est)-248(opti-)]TJ 1.01 0 0 1 54 330.959 Tm [(mizations.)-246(W)79(e)-247(hint)-246(at)-246(ho)6(w)-246(a)-246(measur)8(ement-driv)7(en)-246(adaptiv)8(e)]TJ 1.011 0 0 1 54 319.004 Tm [(appr)8(oach)-248(during)-247(training)-248(can)-247(help)-248(with)-247(se)7(v)8(eral)-248(of)-247(these)-248(di-)]TJ 1 0 0 1 54 307.049 Tm (mensions.)Tj /T1_1 9.963 Tf 0 -24.409 TD [(3.1)-1000(Lo)7(w-le)7(v)8(el)-250(K)20(ernels)]TJ /T1_2 9.963 Tf 1.02 0 0 1 54 267.696 Tm [(K)20(ernels)-302(for)-302(basic)-301(op)-7(erations)-302(such)-302(as)-301(GEMM)-302(\()10(General)-302(ma-)]TJ 1.014 0 0 1 54 255.741 Tm [(trix)-246(multiplication\))-246(balance)-246(se)7(v)8(eral)-246(parameters)-246(such)-246(as)-246(the)]TJ 1.005 0 0 1 54 243.786 Tm [(thr)8(ead)-249(blo)-7(ck)-249(size)10(,)-249(the)-249(data)-249(tiling)-249(size)10(,)-249(the)-249(amount)-249(of)-249(shar)8(e)-7(d)]TJ 1.02 0 0 1 54 231.831 Tm [(memor)-15(y)-254(to)-255(use)-255(p)-7(er)-254(blo)-7(ck,)-255(etc.)-254(The)-255(optimal)-255(choice)-254(of)-255(these)]TJ 0 -11.956 TD [(parameters)-249(dep)-7(ends)-248(on)-249(se)7(v)8(eral)-249(factors)-248(such)-249(as)-249(the)-248(sizes)-249(of)]TJ 0.991 0 0 1 54 207.92 Tm [(the)-251(op)-7(erands)-251(and)-252(the)-251(GP)-49(U)-252(ar)9(chite)-8(ctur)9(e)10(,)-252(esp)-7(e)-7(cially)-251(consider-)]TJ 1.003 0 0 1 54 195.965 Tm [(ing)-249(the)]TJ /T1_3 9.963 Tf 31.003 0 Td [(p)-7(erformance)-249(cli\035)]TJ /T1_2 9.963 Tf 69.199 0 Td [(b)-10(ehavior)-249(e)7(xhibite)-7(d)-249(by)-249(GP)-49(Us)-249(along)]TJ 0.98 0 0 1 54 184.01 Tm [(some)-230(of)-231(these)-230(dimensions)-230([)]TJ 0.55 1 0 0.15 k 1 0 0 1 161.524 184.01 Tm (31)Tj 0 g 0.98 0 0 1 170.79 184.01 Tm [(].)-230(Op)-8(enAI)-230(GEMM)-230(libraries)-230([)]TJ 0.55 1 0 0.15 k 1 0 0 1 281.304 184.01 Tm (11)Tj 0 g 0.98 0 0 1 290.569 184.01 Tm (])Tj 1.015 0 0 1 54 172.055 Tm [(pr)8(o)7(vide)-245(minimal)-246(parametrization)-245(of)-245(the)-245(kernel)-246(parameters)]TJ 1 0 0 1 54 160.1 Tm [(to)-250(allo)7(w)-250(for)-250(e)7(xploration)-250(at)-250(higher)-250(le)7(v)8(els.)]TJ 1.02 0 0 1 63.963 148.144 Tm [(Se)7(v)8(eral)-312(libraries)-313(e)7(xist)-312(for)-312(the)-313(lo)7(w-le)7(v)8(el)-312(kernels)-312(such)-313(as)]TJ 1.011 0 0 1 54 136.189 Tm [(GEMMs,)-246(such)-247(as)-246(cuBLAS)-246([)]TJ 0.55 1 0 0.15 k 1 0 0 1 163.389 136.189 Tm (24)Tj 0 g 1.011 0 0 1 172.654 136.189 Tm [(],)-246(Op)-7(enAI)-247([)]TJ 0.55 1 0 0.15 k 1 0 0 1 219.325 136.189 Tm (11)Tj 0 g 1.011 0 0 1 228.59 136.189 Tm [(])-246(and)-247(Ne)-7(on)-246([)]TJ 0.55 1 0 0.15 k 1 0 0 1 280.512 136.189 Tm (29)Tj 0 g 1.011 0 0 1 289.777 136.189 Tm (].)Tj 1.007 0 0 1 54 124.234 Tm [(Inter)8(estingly)59(,)-248(the)-247(b)-10(est)-247(p)-7(erforming)-248(librar)-14(y)-248(varies)-247(dep)-7(ending)]TJ 0.98 0 0 1 54 112.279 Tm [(on)-243(the)-243(input)-243(parameters)-243(and)-243(sometimes)-243(the)-243(GP)-50(U)-243(generation.)]TJ -0.305 -11.955 Td [(T)50(able)]TJ 0.55 1 0 0.15 k 24.369 0 Td (1)Tj 0 g 7.004 0 Td [(sho)7(ws)-238(the)-238(varie)-7(d)-238(p)-7(erformance)-239(of)-238(cuBlas)-238(and)-238(Op)-7(enAI)]TJ 0.987 0 0 1 54 88.369 Tm [(for)-254(di\035er)8(ent)-254(sizes)-253(of)-254(GEMMs,)-254(and)-254(indicates)-254(that)-254(it)-253(is)-254(har)8(d)-254(to)]TJ 1 0 0 1 54 76.413 Tm [(statically)-250(identify)-250(the)-250(b)-10(est)-250(choice)10(.)]TJ 326.966 633.126 Td (Size)Tj ET q 1 0 0 1 422.0970001 705.9530029 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_2 9.963 Tf 427.078 709.539 Td (cuBlas)Tj ET q 1 0 0 1 458.5399933 705.9530029 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_4 9.963 Tf 463.4 709.539 Td [(O)-50(A)30(I)]TJ /T1_5 7.273 Tf 16.638 -1.494 Td (1)Tj ET q 1 0 0 1 489.2250061 705.9530029 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_4 9.963 Tf 494.085 709.539 Td [(O)-50(A)30(I)]TJ /T1_5 7.273 Tf 16.637 -1.494 Td (2)Tj ET q 1 0 0 1 356.0449982 705.753006 cm 0.398 w 0 0 m 163.865 0 l S Q BT /T1_2 9.963 Tf 361.026 697.186 Td (64x1024x4096)Tj ET q 1 0 0 1 422.0970001 693.598999 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_2 9.963 Tf 429.958 697.186 Td (0.156)Tj ET q 1 0 0 1 458.5399933 693.598999 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_2 9.963 Tf 463.522 697.186 Td (0.125)Tj ET q 1 0 0 1 489.2250061 693.598999 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_2 9.963 Tf 494.207 697.186 Td (0.938)Tj -133.181 -11.956 Td (64x4096x1024)Tj ET q 1 0 0 1 422.0970001 681.6439972 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_2 9.963 Tf 429.958 685.23 Td (0.138)Tj ET q 1 0 0 1 458.5399933 681.6439972 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_2 9.963 Tf 463.522 685.23 Td (0.172)Tj ET q 1 0 0 1 489.2250061 681.6439972 cm 0.398 w 0 0 m 0 11.955 l S Q BT /T1_2 9.963 Tf 494.207 685.23 Td (0.141)Tj /T1_1 9.963 Tf -176.581 -15.043 Td [(T)49(able)-249(1.)]TJ /T1_2 9.963 Tf 0.993 0 0 1 354.703 670.187 Tm [(This)-251(table)-251(sho)7(ws)-251(time)-251(in)-251(ms)-251(for)-251(tw)8(o)-251(GEMM)-251(op)-7(era-)]TJ 0.98 0 0 1 317.955 658.232 Tm [(tions)-224(during)-224(a)-223(run)-224(of)-224(a)-224(LSTM)-224(mo)-7(del)-224(on)-224(a)-223(P100)-224(GP)-50(U)24(.)-223(T)-1(he)-223(\033rst)]TJ 1.02 0 0 1 317.955 646.277 Tm [(r)8(o)7(w)-294(is)-294(fr)8(om)-293(a)-294(for)-15(war)8(d)-293(pass)-294(fuse)-7(d)-293(GEMM,)-294(and)-294(the)-293(se)-7(cond)]TJ 1 0 0 1 317.955 634.321 Tm [(fr)8(om)-250(a)-250(backwar)8(d)-250(pass.)]TJ ET q 187.1950073 0 0 150.1019592 344.3769989 454.272995 cm /Im0 Do Q BT /T1_1 9.963 Tf 317.955 433.949 Td [(Figur)8(e)-191(1.)-191(An)-191(e)7(xample)-191(of)-191(con\036icting)-191(choice)-191(in)-191(fusion)-191(of)]TJ 0 -11.955 TD (GEMMs.)Tj /T1_3 9.963 Tf 0.98 0 0 1 357.877 421.994 Tm [(This)-201(pictur)8(e)-201(sho)8(ws)-201(tw)8(o)-201(sets)-201(of)-201(GEMM)-200(op)-8(erations)-200(that)]TJ 1.018 0 0 1 317.955 410.039 Tm [(o)-7(ccur)-245(in)-244(the)-245(SC-RNN)-245(mo)-7(del)-244([)]TJ 0.55 1 0 0.15 k 1 0 0 1 433.283 410.039 Tm (22)Tj 0 g 1.018 0 0 1 442.13 410.039 Tm [(])-245(during)-244(its)-245(backwar)8(d)-245(pass)-245(of)]TJ 0.99 0 0 1 317.955 398.083 Tm [(pr)8(opagating)-254(gradients.)-254(A)12(s)-254(fusion)-254(r)8(e)-7(quir)8(es)-254(contiguous)-254(memor)-15(y)]TJ 0.98 0 0 1 317.955 386.128 Tm [(allo)-7(cation)-207(for)-206(the)-207(tensors,)-206(one)-206(ne)-8(e)-7(ds)-206(to)-207(sele)-7(ct)-206(the)-207(most)-206(b)-10(ene\033cial)]TJ 1 0 0 1 317.955 374.173 Tm [(fusion/allo)-7(cation)-250(strategy)59(.)]TJ /T1_1 9.963 Tf 0 -31.757 TD [(3.2)-1000(Fusion)-250(of)-250(kernels)]TJ /T1_2 9.963 Tf 0.98 0 0 1 317.606 327.472 Tm [(A)-250(te)-7(chnique)-249(commonly)-250(use)-7(d)-250(by)-249(accelerators)-250(such)-249(as)-250(cuDNN)]TJ 1.015 0 0 1 317.955 315.517 Tm [(is)-247(to)-247(fuse)-246(multiple)-247(smaller)-247(op)-7(erations)-247(into)-247(one)-246(large)-247(op)-7(era-)]TJ 0.98 0 0 1 317.955 303.562 Tm [(tion.)-190(This)-190(is)-189(particularly)-190(valuable)-190(in)-190(r)9(e)-8(curr)9(ent)-190(lay)8(ers)-190(or)-189(LSTM)]TJ 0 -11.956 TD [(lay)8(ers,)-236(wher)8(e)-236(the)-236(individual)-236(op)-7(erations)-236(ar)8(e)-236(to)-7(o)-236(small)-236(to)-236(ke)-7(ep)]TJ 0.984 0 0 1 317.955 279.651 Tm [(the)-253(GP)-50(U)-253(o)-7(ccupie)-7(d.)-253(The)-254(most)-253(straightfor)-15(war)8(d)-253(form)-253(of)-253(fusion)]TJ 0.99 0 0 1 317.955 267.696 Tm [(is)-253(GEMM)-253(fusion,)-253(wher)9(e)-253(multiple)-253(indep)-7(endent)-253(GEMMs)-253(with)]TJ 1.02 0 0 1 317.955 255.741 Tm [(their)-293(o)7(wn)-293(op)-7(erand)-293(tensors)-293(ar)8(e)-293(multiplie)-6(d)-293(together)-293(as)-293(one)]TJ 0 -11.955 TD [(large)-294(GEMM;)-293(p)-7(erforming)-293(a)-294(single)-293(GEMM)-294(of)-293(tw)7(o)-293(512x512)]TJ 0.986 0 0 1 317.955 231.831 Tm [(tensors)-252(is)-253(faster)-252(than)-253(p)-7(erforming)-252(four)-253(se)-7(quential)-252(GEMMs)-253(of)]TJ 0.99 0 0 1 317.726 219.875 Tm [(128x512)-254(tensors)-254(with)-253(a)-254(512x512)-254(tensor)60(.)-254(Ideally)59(,)-253(this)-254(r)8(e)-7(quir)8(es)]TJ 1 0 0 1 317.955 207.92 Tm [(that)-250(op)-7(erand)-249(tensors)-250(to)-249(b)-10(e)-250(fuse)-7(d)-249(ar)8(e)-250(allo)-7(cate)-7(d)-250(contiguously)]TJ 0.987 0 0 1 317.955 195.965 Tm [(in)-254(GP)-50(U)-253(memor)-16(y)-253(to)-254(av)8(oid)-254(the)-254(cost)-254(of)-254(cop)7(ying)-253(them)-254(into)-254(con-)]TJ 0.98 0 0 1 317.955 184.01 Tm [(tiguous)-218(space)10(.)-219(In)-218(a)-219(large)-218(data)-219(\036o)7(w)-218(graph,)-218(picking)-219(the)-218(right)-219(al-)]TJ 0.982 0 0 1 317.955 172.055 Tm [(lo)-7(cation)-254(strategy)-254(to)-254(maximize)-254(fusion)-254(is)-254(challenging,)-254(b)-10(e)-7(cause)]TJ 1.011 0 0 1 317.955 160.1 Tm [(the)-248(choices)-248(of)-247(fusion)-248(gr)8(oups)-248(sometimes)-248(r)8(e)-7(quir)8(e)-247(con\036icting)]TJ 1 0 0 1 317.955 148.144 Tm [(allo)-7(cations)-250(\()12(se)-7(e)-250(Figur)8(e)]TJ 0.55 1 0 0.15 k 92.941 0 Td (1)Tj 0 g (\).)Tj 1.002 0 0 1 327.918 136.189 Tm [(Further)59(,)-251(while)-250(larger)-250(fusion)-251(gr)8(oups)-250(ar)8(e)-251(usually)-250(b)-10(etter)-250(for)]TJ 1.02 0 0 1 317.955 124.234 Tm [(p)-7(erformance)10(,)-308(the)7(y)-307(ne)-7(e)-7(d)-308(not)-307(always)-308(b)-9(e:)-308(for)-308(e)7(xample)10(,)-308(on)-307(a)]TJ 1.004 0 0 1 317.955 112.279 Tm [(P100)-248(GP)-49(U)-248(and)-248(CUD)29(A)-248(v9.2,)-248(p)-7(erforming)-248(tw)8(o)-248(GEMMs)-248(of)-248(size)]TJ 0.997 0 0 1 317.656 100.324 Tm [(\(256)-251(x)-250(1024\))-251(x)-251(\(1024)-250(x)-251(1024\))-251(in)-250(parallel)-251(on)-251(tw)8(o)-250(GP)-50(U)-250(str)8(eams)]TJ 0.98 0 0 1 317.955 88.369 Tm [(takes)-205(172)-205(us,)-205(while)-205(the)-204(fuse)-8(d)-205(v)9(ersion,)]TJ /T1_3 9.963 Tf 150.299 0 Td [(i.e)10(.)]TJ /T1_2 9.963 Tf [(,)-205(a)-205(single)-205(\(512)-205(x)-204(1024)-1(\))]TJ -150.543 -11.956 Td [(x)-228(\(1024)-228(x)-228(1024\))-228(GEMM)-228(runs)]TJ /T1_3 9.963 Tf 113.765 0 Td [(slo)7(w)8(er)]TJ /T1_2 9.963 Tf 27.146 0 Td [(at)-228(211)-228(us.)-228(Hence)-228(statically)]TJ ET /QITE_maskingtape BMC 1 g 46.37 733.8 518.3 18.19 re f EMC /Artifact <>BDC q 1 0 0 1 54 755.4614258 cm 0 g /GS0 gs /Fm0 Do Q EMC /Artifact <>BDC q 1 0 0 1 371.2230225 755.4614258 cm 0 g /GS0 gs /Fm1 Do Q EMC /Artifact <>BDC q 1 0 0 1 299.8190002 38.5740509 cm 0 g /GS0 gs /Fm2 Do Q EMC endstream endobj 757 0 obj <>>>/Resources 766 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (Session: ) Tj 31.667 0 Td (Machine ) Tj 34.607 0 Td (Learning ) Tj 34.998 0 Td (III) Tj ET endstream endobj 758 0 obj <>>>/Resources 763 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (ASPLOS\22219, ) Tj 46.094 0 Td (April ) Tj 20.417 0 Td (13\22617, ) Tj 25.765 0 Td (2019, ) Tj 20.773 0 Td (Providence, ) Tj 45.018 0 Td (RI, ) Tj 12.269 0 Td (USA) Tj ET endstream endobj 759 0 obj <>>>/Resources 760 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (912) Tj ET endstream endobj 760 0 obj <> endobj 761 0 obj <> endobj 762 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 763 0 obj <> endobj 764 0 obj <> endobj 765 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 766 0 obj <> endobj 767 0 obj <> endobj 768 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 769 0 obj <> endobj 770 0 obj <>stream BT /T1_0 9.963 Tf 53.691 737.534 Td [(A)12(stra:)-292(Exploiting)-250(Pr)8(e)-7(dictability)-250(to)-250(Optimize)-250(De)-7(ep)-250(Learning)]TJ 294.963 0 Td [(ASPLOS)-250(`19,)-250(April)-250(13\02517,)-250(2019,)-250(Pr)8(o)7(vidence)10(,)-250(RI,)-250(USA)]TJ /T1_1 11.955 Tf -294.654 -27.497 Td [(2)-1000(Backgr)8(ound)]TJ /T1_2 9.963 Tf 1.02 0 0 1 54 695.093 Tm [(In)-258(this)-258(se)-7(ction,)-257(w)7(e)-257(pr)7(o)7(vide)-258(a)-257(brief)-258(backgr)8(ound)-258(on)-258(the)-258(cor)8(e)]TJ 1 0 0 1 54 683.138 Tm [(primitiv)8(es)-251(and)-250(op)-7(erations)-251(of)-251(de)-7(ep)-250(neural)-251(netw)8(orks)-251(\(DNNs\),)]TJ 0 -11.955 TD [(and)-250(the)-250(curr)8(ent)-250(state)-250(of)-250(optimizing)-250(neural)-250(netw)8(orks.)]TJ /T1_1 9.963 Tf 0 -21.445 TD [(2.1)-1000(De)-7(ep)-250(Neural)-250(netw)8(orks)]TJ /T1_2 9.963 Tf 0.984 0 0 1 54 634.794 Tm [(DNNs)-253(comprise)-254(of)-253(se)7(v)8(eral)]TJ /T1_3 9.963 Tf 108.551 0 Td [(lay)8(ers)]TJ /T1_2 9.963 Tf 26.014 0 Td [(of)-253(computation.)-254(Each)-253(lay)8(er)]TJ -134.565 -11.955 Td [(comprises)-254(of)-253(se)7(v)8(eral)]TJ /T1_3 9.963 Tf 85.13 0 Td [(neur)8(ons)]TJ /T1_2 9.963 Tf [(;)-254(each)-253(neur)8(on)-254(takes)-254(the)-254(outputs)]TJ 0.98 0 0 1 54 610.884 Tm [(of)-228(neur)8(ons)-228(in)-228(the)-228(lay)8(er)-228(ab)-10(o)7(v)8(e)-228(as)-228(their)-228(inputs,)-228(and)-228(pr)8(o)-7(duce)-228(an)]TJ 1.016 0 0 1 54 598.929 Tm [(output)-246(as)-245(a)-246(function)-246(of)-246(the)-245(inputs)-246(-)]TJ /T1_3 9.963 Tf 143.989 0 Td [(e)10(.g.)]TJ /T1_2 9.963 Tf [(,)-246(a)-245(w)7(eighte)-7(d)-245(sum)-246(of)]TJ 0.98 0 0 1 54 586.974 Tm [(the)-214(inputs)-215(follo)7(w)9(e)-8(d)-214(by)-214(a)-215(non-linear)-214(function)-215(such)-214(as)-214(Sigmoid)]TJ 1.011 0 0 1 54 575.019 Tm [(or)-247(ReLU)-248([)]TJ 0.55 1 0 0.15 k 1 0 0 1 93.784 575.019 Tm (37)Tj 0 g 1.011 0 0 1 103.05 575.019 Tm [(].)-247(The)-248(w)8(eights)-247(to)-248(apply)-247(to)-248(each)-247(of)-248(the)-247(inputs)-248(is)]TJ 1.02 0 0 1 54 563.063 Tm [(one)-270(of)-269(the)-270(ke)7(y)-269(parameters)-270(that)-269(the)-270(netw)8(ork)-270(learns)-269(during)]TJ 1 0 0 1 54 551.108 Tm (training.)Tj 0.98 0 0 1 63.963 539.153 Tm [(The)-225(computation)-226(\036o)7(w)-225(during)-226(a)-225(DL)-225(train)-1(i)1(n)-1(g)-225(job)-225(consists)-226(of)]TJ -10.166 -11.955 Td (a)Tj /T1_3 9.963 Tf 6.793 0 Td [(fe)-7(e)-7(d-for)-16(war)9(d)]TJ /T1_2 9.963 Tf 53.024 0 Td [(pass)-225(and)-225(a)]TJ /T1_3 9.963 Tf 43.762 0 Td [(backwar)8(d)-225(pr)8(opagation)]TJ /T1_2 9.963 Tf 90.374 0 Td [(pass.)-225(During)]TJ 0.982 0 0 1 54 515.243 Tm [(the)-255(fe)-7(e)-7(d-for)-15(war)8(d)-255(pass,)-255(the)-254(netw)8(ork)-255(takes)-255(a)-255(batch)-254(of)-255(training)]TJ 0.98 0 0 1 54 503.288 Tm [(input)-239(\()]TJ /T1_3 9.963 Tf [(e)10(.g.)]TJ /T1_2 9.963 Tf [(,)-239(a)-238(set)-239(of)-238(images)-239(for)-239(an)-238(image)-239(classi\033cation)-239(task,)-238(or)]TJ 0.999 0 0 1 54 491.332 Tm [(a)-251(set)-251(of)-251(sentences)-250(for)-251(a)-251(language)-251(translation)-251(task\),)-251(typically)]TJ 0.98 0 0 1 54 479.377 Tm [(r)8(eferr)8(e)-7(d)-192(to)-191(as)-192(a)]TJ /T1_3 9.963 Tf 61.318 0 Td (mini-batch)Tj /T1_2 9.963 Tf [(,)-192(and)-192(runs)-191(those)-192(inputs)-192(thr)8(ough)-191(the)]TJ -61.318 -11.955 Td [(lay)8(ers.)-230(The)-229(r)8(esult)-230(pr)8(o)-7(duce)-7(d)-230(by)-229(the)-230(last)-230(lay)9(er)-230(is)-230(the)-229(pr)8(e)-7(diction)]TJ 1.02 0 0 1 54 455.467 Tm [(of)-304(the)-304(netw)8(ork;)-304(for)-304(an)-304(alr)8(eady)-304(traine)-7(d)-304(mo)-7(del)-303(that)-304(is)-304(use)-7(d)]TJ 0 -11.955 TD [(for)-308(pr)8(e)-7(diction,)-308(this)-309(is)-308(the)-308(only)-308(computation)-308(it)-309(do)-6(es.)-309(For)-308(a)]TJ 0.989 0 0 1 54 431.557 Tm [(mo)-7(del)-253(that)-254(is)-253(b)-10(eing)-253(traine)-7(d,)-254(ho)8(w)8(e)7(v)8(er)59(,)-253(this)-253(pr)8(e)-7(diction)-253(is)-254(then)]TJ 0.99 0 0 1 54 419.601 Tm [(compar)8(e)-7(d)-252(to)-251(the)-252(actual)]TJ /T1_3 9.963 Tf 95.67 0 Td [(gr)8(ound)-252(truth)]TJ /T1_2 9.963 Tf 52.955 0 Td [(that)-252(is)-251(pr)8(o)7(vide)-7(d)-252(as)-252(part)]TJ 0.987 0 0 1 54 407.646 Tm [(of)-253(the)-254(input)-253(batch.)-254(The)-253(di\035er)8(ence)-254(b)-10(etw)8(e)-7(en)-253(the)-254(gr)9(ound)-254(truth)]TJ 1.02 0 0 1 54 395.691 Tm [(and)-259(the)-259(pr)8(e)-7(diction)-258(is)-259(the)-259(err)8(or)-259(or)-259(loss)-259(of)-258(the)-259(netw)8(ork.)-259(The)]TJ 0.993 0 0 1 54 383.736 Tm [(err)8(or)-253(values)-253(ar)8(e)-253(then)-253(pr)8(opagate)-7(d)-253(back)-254(thr)9(ough)-254(the)-253(netw)8(ork)]TJ 0.988 0 0 1 54 371.781 Tm [(until)-253(each)-253(neur)8(on)-253(has)-253(an)-254(asso)-7(ciate)-7(d)-253(err)8(or)-253(value)-253(that)-253(r)8(e\036e)-7(cts)]TJ 1.014 0 0 1 54 359.826 Tm [(its)-246(contribution)-246(to)-245(the)-246(original)-246(output,)-246(and)-245(then)-246(uses)-246(these)]TJ 1.02 0 0 1 54 347.87 Tm [(err)8(or)-298(values)-297(to)-297(calculate)-298(the)-297(gradient)-298(of)-297(the)-298(loss)-297(function.)]TJ 0.989 0 0 1 53.701 335.915 Tm [(This)-252(gradient)-252(is)-253(fe)-7(d)-252(to)-252(an)-252(optimization)-252(metho)-7(d)-253(such)-252(as)-252(such)]TJ 1.006 0 0 1 54 323.96 Tm [(as)-249(sto)-7(chastic)-250(gradient)-249(descent)-250([)]TJ 0.55 1 0 0.15 k 1 0 0 1 181.615 323.96 Tm (27)Tj 0 g 1.006 0 0 1 190.88 323.96 Tm [(],)-249(which)-250(uses)-249(it)-250(to)-249(up)-7(date)]TJ 1 0 0 1 54 312.005 Tm [(the)-250(w)8(eights,)-250(in)-250(an)-250(attempt)-250(to)-250(minimize)-250(the)-250(loss)-250(function.)]TJ 1.002 0 0 1 63.963 300.05 Tm [(Computationally)59(,)-249(b)-10(oth)-249(the)-248(for)-15(war)8(d)-249(and)-249(backwar)8(d)-248(passes)]TJ 0.98 0 0 1 54 288.095 Tm [(translate)-222(into)-222(a)-222(series)-222(of)-222(matrix)-222(or)]TJ /T1_3 9.963 Tf 138.557 0 Td (tensor)Tj /T1_2 9.963 Tf 25.952 0 Td [(op)-7(erations,)-222(pr)8(e)-7(dom-)]TJ 1.001 0 0 1 54 276.139 Tm [(inantly)-251(matrix)-251(multiplication,)-252(and)-251(other)-251(op)-7(erations)-251(such)-252(as)]TJ 0.98 0 0 1 54 264.184 Tm [(SoftMax,)-197(BatchNorm,)-196(L2Norm,)-197(etc.)-197(Be)-7(cause)-197(of)-197(the)-196(signi\033cant)]TJ 1.02 0 0 1 54 252.229 Tm [(data)-305(parallelism)-304(available)-305(in)-305(matrix)-305(op)-6(erations,)-305(GP)-48(Us)-305(ar)8(e)]TJ 1.019 0 0 1 54 240.274 Tm [(quite)-246(e\035e)-7(ctiv)8(e)-247(and)-246(hence)-246(hav)8(e)-246(b)-10(e)-7(come)-246(a)-247(de)-246(facto)-246(standar)8(d)]TJ 1 0 0 1 54 228.319 Tm [(for)-250(running)-250(de)-7(ep)-250(neural)-250(netw)8(ork)-250(training.)]TJ /T1_1 9.963 Tf 0 -29.365 TD [(2.2)-1000(Exe)-7(cution)-250(mo)-7(del)]TJ /T1_2 9.963 Tf 0.988 0 0 1 53.701 184.01 Tm [(The)-252(op)-7(erations)-253(in)-252(the)-252(for)-15(war)8(d)-252(and)-253(backwar)8(d)-252(pass)-252(of)-252(a)-253(DNN)]TJ 1.02 0 0 1 54 172.055 Tm [(training)-315(mo)-7(del)-315(naturally)-315(\033t)-315(into)-315(a)-315(data)-315(\036o)7(w)-315(graph)-315(\(DFG\))]TJ 1.017 0 0 1 54 160.1 Tm [(r)8(epr)8(esentation)-246([)]TJ 0.55 1 0 0.15 k 1 0 0 1 120.138 160.1 Tm (1)Tj 0 g 1.017 0 0 1 124.771 160.1 Tm [(],)-245(wher)7(e)-245(the)-245(no)-7(des)-246(ar)8(e)-245(the)-246(op)-6(erators)-246(\()]TJ /T1_3 9.963 Tf [(e)10(.g.)]TJ /T1_2 9.963 Tf (,)Tj 0.98 0 0 1 54 148.144 Tm [(GP)-50(U)-251(kernels\),)-252(and)-251(the)-251(e)-8(dges)-251(ar)8(e)-251(tensors/matrices.)-252(The)-251(set)-251(of)]TJ 1.01 0 0 1 54 136.189 Tm [(primitiv)8(e)-248(op)-7(erators)-248(\()12(such)-248(as)-247(matrix)-248(multiplication\))-248(is)-248(quite)]TJ 1 0 0 1 54 124.234 Tm [(small,)-249(and)-249(se)7(v)8(eral)-249(libraries)-249(such)-249(as)-249(cuBLAS)-249([)]TJ 0.55 1 0 0.15 k (24)Tj 0 g [(])-249(implement)]TJ 1.02 0 0 1 54 112.279 Tm [(GP)-48(U)-312(kernels)-312(for)-312(those)-312(common)-312(op)-7(erators.)-312(Prior)-312(w)7(ork)-312(by)]TJ 0.98 0 0 1 54 100.324 Tm [(se)7(v)8(eral)-247(p)-7(e)-7(ople)-247(has)-247(lo)-7(oke)-7(d)-247(at)-247(the)-247(pr)8(oblem)-247(of)-247(ho)7(w)-247(to)-247(automat-)]TJ 0.993 0 0 1 54 88.369 Tm [(ically)-253(generate)-253(optimize)-7(d)-253(co)-7(de)-253(for)-253(these)-253(lo)7(w-le)7(v)8(el)-252(primitiv)8(e)]TJ 1 0 0 1 54 76.413 Tm [(kernels)-250([)]TJ 0.55 1 0 0.15 k (6)Tj 0 g (,)Tj 0.55 1 0 0.15 k 44.981 0 Td (26)Tj 0 g (,)Tj 0.55 1 0 0.15 k 13.948 0 Td (30)Tj 0 g [(],)-250(but)-250(that)-250(is)-250(not)-250(the)-250(fo)-7(cus)-250(of)-250(this)-250(pap)-7(er)59(.)]TJ 0.994 0 0 1 327.918 710.037 Tm [(Frame)7(w)8(orks)-251(such)-252(as)-251(T)63(ensor\036o)7(w)-252([)]TJ 0.55 1 0 0.15 k 1 0 0 1 463.88 710.037 Tm (1)Tj 0 g 0.994 0 0 1 468.512 710.037 Tm [(])-252(tr)8(eat)-251(these)-252(op)-7(erators)]TJ 1.02 0 0 1 317.955 698.082 Tm [(as)-334(building)-334(blo)-7(cks)-334(and)-334(manage)-334(the)-334(end-to-end)-334(e)7(xe)-7(cution)]TJ 0 -11.955 TD [(\036o)7(w)58(.)-262(The)7(y)-262(parse)-262(a)-262(mo)-7(del)-262(written)-262(in)-262(a)-262(high-le)7(v)8(el)-262(language)]TJ T* [(such)-335(as)-335(Python,)-335(and)-335(construct)-335(a)-335(data)-335(\036o)7(w)-335(graph)-335(fr)8(om)-335(it,)]TJ 1.017 0 0 1 317.587 662.217 Tm [(wher)8(e)-245(the)-244(computation)-245(no)-7(des)-244(typically)-245(map)-244(to)-245(an)-244(e)7(xisting)]TJ 1.013 0 0 1 317.955 650.262 Tm [(kernel)-245(implementation)-246(in)-245(say)-245(cuBLAS.)-246(The)7(y)-245(then)-245(dispatch)]TJ 1.017 0 0 1 317.955 638.306 Tm [(the)-246(op)-7(erations)-246(in)-246(the)-247(DFG)-246(asynchr)8(onously)-246(to)-246(the)-247(GP)-48(U)-246(dri-)]TJ 0.985 0 0 1 317.706 626.351 Tm [(v)8(er)-254(thr)8(ough)-254(a)-255(cuda_launch)-254(API.)-254(E\034cient)-254(e)7(xe)-7(cution)-255(dep)-7(ends)]TJ 0.995 0 0 1 317.955 614.396 Tm [(heavily)-250(on)-251(this)-250(end-to-end)-250(or)8(chestration)-251(of)-250(the)-250(DFG,)-251(which)]TJ 1.02 0 0 1 317.955 602.441 Tm [(is)-291(the)-291(primar)-15(y)-291(fo)-7(cus)-291(of)-291(the)-292(optimizations)-291(e)7(xplor)8(e)-7(d)-291(in)-291(this)]TJ 1 0 0 1 317.955 590.486 Tm [(pap)-7(er)59(.)]TJ /T1_1 9.963 Tf 0 -44.832 TD [(2.3)-1000(GP)-49(U)-250(characteristics)]TJ /T1_2 9.963 Tf 1.006 0 0 1 317.656 530.71 Tm [(This)-248(subse)-7(ction)-247(describ)-10(es)-248(some)-247(salient)-248(featur)8(es)-248(of)-247(the)-248(GP)-49(U)]TJ 1.001 0 0 1 317.955 518.755 Tm [(ar)8(chite)-7(ctur)8(e)-250(and)-249(e)7(xe)-7(cution)-250(mo)-7(del.)-249(GP)-49(Us)-249(hav)8(e)-250(much)-249(higher)]TJ 1.017 0 0 1 317.955 506.799 Tm [(parallelism)-245(than)-245(CP)-48(Us;)-245(a)-245(P100)-245(GP)-48(U)-245(for)-245(e)7(xample)-245(has)-245(ab)-10(out)]TJ 1.02 0 0 1 317.955 494.844 Tm [(3500)-297(cor)8(es,)-298(and)-297(has)-297(a)-298(compute)-297(thr)8(oughput)-297(of)-297(ab)-10(out)-298(9)-297(ter-)]TJ 1.007 0 0 1 317.955 482.889 Tm [(a\036ops/se)-7(c)-248([)]TJ 0.55 1 0 0.15 k 1 0 0 1 364.195 482.889 Tm (13)Tj 0 g 1.007 0 0 1 373.46 482.889 Tm [(].)-248(Ne)7(w)8(er)-248(v)8(ersions)-248(such)-248(as)-249(the)-248(T)63(esla)-248(V100)-248(pr)8(o-)]TJ 0.98 0 0 1 317.706 470.934 Tm [(vide)-238(signi\033cantly)-238(higher)-238(compute)-238(of)-238(120)-238(teraops/se)-7(c)-238(for)-238(half-)]TJ 1.013 0 0 1 317.955 458.979 Tm [(pr)8(e)-7(cision)-246(\(16-bit\))-245(op)-7(erations)-246([)]TJ 0.55 1 0 0.15 k 1 0 0 1 440.158 458.979 Tm (32)Tj 0 g 1.013 0 0 1 449.423 458.979 Tm [(].)-246(GP)-48(Us)-246(adopt)-245(a)-246(SIMD)-245(e)7(xe-)]TJ 0.981 0 0 1 317.955 447.024 Tm [(cution)-255(mo)-7(del)-256(wher)9(e)-256(a)-255(gr)8(oup)-255(of)-255(cor)8(es)-255(\()17(calle)-7(d)-255(a)]TJ /T1_3 9.963 Tf 188.115 0 Td (warp)Tj /T1_2 9.963 Tf [(\))-255(e)7(xe)-7(cute)]TJ 0.987 0 0 1 317.955 435.068 Tm [(lo)-7(ck-step)-254(on)-254(the)-254(same)-254(instruction)-254(str)9(eam)-254(but)-254(multiple)-254(paral-)]TJ 0.98 0 0 1 317.955 423.113 Tm [(lel)-245(data)-245(str)9(eams,)-245(say)-245(di\035er)8(ent)-244(tiles)-245(of)-245(a)-245(matrix)-244(multiplication.)]TJ 0.997 0 0 1 317.955 411.158 Tm [(In)-250(or)8(der)-249(to)-250(e)7(xtract)-250(the)-250(full)-249(compute)-250(thr)8(oughput)-250(of)-250(the)-249(GP)-49(U)24(,)]TJ 1.02 0 0 1 317.955 399.203 Tm [(the)-260(w)8(orkload)-259(ne)-7(e)-7(ds)-259(to)-260(hav)8(e)-260(a)-259(high)-259(degr)7(e)-7(e)-259(of)-259(parallelism)-260(\025)]TJ 0.98 0 0 1 317.955 387.248 Tm [(this)-246(can)-245(happ)-8(en)-245(in)-246(tw)8(o)-246(ways;)-245(either)-246(the)-246(matrices)-246(b)-10(eing)-246(op)-7(er-)]TJ 0.997 0 0 1 317.955 375.293 Tm [(ate)-7(d)-251(ar)8(e)-251(so)-251(large)-251(that)-251(the)-251(tiling)-250(of)-251(the)-251(matrices)-251(is)-251(enough)-251(to)]TJ 0.983 0 0 1 317.955 363.337 Tm [(ke)-7(ep)-254(the)-254(cor)8(es)-254(busy)60(,)-254(or)-254(multiple)-255(op)-7(erations)-254(must)-254(b)-10(e)-254(simulta-)]TJ 1.02 0 0 1 317.955 351.382 Tm [(ne)-7(ously)-247(sche)-7(dule)-7(d)-247(on)-247(the)-247(GP)-48(U)24(.)-247(T)61(o)-247(enable)-247(the)-247(latter)58(,)-247(GP)-48(Us)]TJ 1.004 0 0 1 317.955 339.427 Tm [(e)7(xp)-7(ose)-249(a)]TJ /T1_3 9.963 Tf 37.376 0 Td [(str)8(eam)]TJ /T1_2 9.963 Tf 29.169 0 Td [(abstraction)-249(to)-249(the)-249(higher)-248(le)7(v)8(el.)-249(A)-249(str)8(eam)-249(is)]TJ 1.011 0 0 1 317.955 327.472 Tm [(akin)-246(to)-247(a)-246(thr)8(ead)-247(of)-246(e)7(xe)-7(cution;)-247(all)-246(op)-7(erations)-247(sche)-7(dule)-7(d)-246(in)-246(a)]TJ 0.98 0 0 1 317.955 315.517 Tm [(single)-254(str)8(eam)-253(ar)8(e)-254(e)7(xe)-7(cute)-7(d)-254(in)-253(FIFO)-254(or)8(der)-254(se)-7(quentially)-254(by)-253(the)]TJ 1.02 0 0 1 317.955 303.562 Tm [(GP)-48(U)23(,)-256(but)-256(op)-7(erations)-256(sche)-7(dule)-7(d)-256(in)-257(di\035er)8(ent)-256(str)8(eams)-257(run)-256(in)]TJ 1.017 0 0 1 317.955 291.606 Tm [(parallel.)-247(When)-247(sche)-7(duling)-247(op)-7(erations)-248(on)-247(multiple)-247(str)8(eams,)]TJ 0.99 0 0 1 317.955 279.651 Tm [(the)-254(application)-253(ne)-7(e)-7(ds)-254(to)-254(enfor)8(ce)-253(dep)-7(endencies)-254(acr)8(oss)-254(op)-7(era-)]TJ 0.98 0 0 1 317.955 267.696 Tm [(tions)-214(by)-213(adding)-214(appr)8(opriate)-213(synchr)8(onization)-214(e)7(v)9(ents.)-214(Be)-7(cause)]TJ 0 -11.955 TD [(of)-256(the)-257(comple)7(xity)-256(of)-256(doing)-256(this)-257(while)-256(ke)-7(eping)-257(str)9(eam)-257(utiliza-)]TJ 1.019 0 0 1 317.955 243.786 Tm [(tion)-245(balance)-7(d,)-246(most)-245(frame)7(w)8(orks)-246(such)-245(as)-245(T)62(ensor\036o)6(w)-245(to)-7(day)]TJ 1 0 0 1 317.955 231.831 Tm [(use)-250(just)-250(a)-250(single)-250(str)8(eam.)]TJ 1.02 0 0 1 327.918 219.875 Tm [(GP)-48(Us)-273(hav)8(e)-272(a)-273(memor)-15(y)-272(hierar)7(chy)-272(comprise)-7(d)-273(of)-272(r)7(egisters,)]TJ 0.98 0 0 1 317.955 207.92 Tm [(on-chip)-232(shar)9(e)-8(d)-231(memor)-15(y)60(,)-232(and)-231(e)7(xternal)-232(HBM)-231(\()-13(high)-231(bandwidth)]TJ 1.02 0 0 1 317.955 195.965 Tm [(memor)-15(y)17(\);)-325(GP)-48(U)-324(kernel)-325(libraries)-325(such)-324(as)-325(cuBLAS)-324(car)7(efully)]TJ 0.996 0 0 1 317.955 184.01 Tm [(manage)-252(these)-251(shar)8(e)-7(d)-252(r)8(esour)8(ces)-252(for)-251(lo)-7(cality)-252(to)-252(maximize)-251(the)]TJ 1 0 0 1 317.955 172.055 Tm [(degr)8(e)-7(e)-250(of)-250(parallelism)-250(r)8(ealize)-7(d)-250(on)-250(the)-250(GP)-49(U)24(.)]TJ 1.02 0 0 1 327.918 160.1 Tm [(Another)-298(challenge)-298(to)-297(r)7(ealizing)-297(the)-298(full)-298(thr)8(oughput)-298(of)-298(a)]TJ 0.98 0 0 1 317.955 148.144 Tm [(GP)-50(U)-208(i)-1(s)-208(the)-209(\033xe)-7(d)-208(cost)-209(of)-208(ab)-10(out)-209(5-10)-209(use)-7(c)-208(to)-209(launch)-208(a)-209(kernel)-208(on)]TJ T* [(the)-247(GP)-50(U;)-248(in)-247(or)8(der)-248(for)-247(this)-247(cost)-248(to)-247(b)-10(e)-248(amortize)-7(d,)-247(the)-248(granular-)]TJ 0.981 0 0 1 317.955 124.234 Tm [(ity)-256(of)-256(individual)-257(op)-7(erations)-256(sche)-7(dule)-7(d)-256(must)-257(b)-10(e)-256(large)-256(enough)]TJ 1.014 0 0 1 317.955 112.279 Tm [(that)-246(the)-247(compute)-246(time)-247(for)-246(the)-246(kernel)-247(is)-246(higher)-247(than)-246(launch)]TJ 1.02 0 0 1 317.955 100.324 Tm [(o)7(v)8(erhead.)-279(One)-279(common)-278(optimization)-279(that)-278(is)-279(emplo)7(y)8(e)-7(d)-279(to-)]TJ 0.982 0 0 1 317.587 88.369 Tm [(war)8(ds)-254(this)-254(goal)-254(is)-255(to)]TJ /T1_3 9.963 Tf 84.24 0 Td (fuse)Tj /T1_2 9.963 Tf 18.364 0 Td [(multiple)-254(small)-254(op)-7(erations)-255(so)-254(that)-254(it)]TJ 1 0 0 1 317.955 76.413 Tm [(can)-250(b)-10(e)-250(launche)-7(d)-250(as)-250(one)-250(kernel.)]TJ ET /QITE_maskingtape BMC 1 g 46.37 733.8 518.3 18.19 re f EMC /Artifact <>BDC q 1 0 0 1 54 755.4614258 cm 0 g /GS0 gs /Fm0 Do Q EMC /Artifact <>BDC q 1 0 0 1 371.2230225 755.4614258 cm 0 g /GS0 gs /Fm1 Do Q EMC /Artifact <>BDC q 1 0 0 1 299.7244873 38.5740509 cm 0 g /GS0 gs /Fm2 Do Q EMC endstream endobj 771 0 obj <>>>/Resources 780 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (Session: ) Tj 31.667 0 Td (Machine ) Tj 34.607 0 Td (Learning ) Tj 34.998 0 Td (III) Tj ET endstream endobj 772 0 obj <>>>/Resources 777 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (ASPLOS\22219, ) Tj 46.094 0 Td (April ) Tj 20.417 0 Td (13\22617, ) Tj 25.765 0 Td (2019, ) Tj 20.773 0 Td (Providence, ) Tj 45.018 0 Td (RI, ) Tj 12.269 0 Td (USA) Tj ET endstream endobj 773 0 obj <>>>/Resources 774 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (911) Tj ET endstream endobj 774 0 obj <> endobj 775 0 obj <> endobj 776 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 777 0 obj <> endobj 778 0 obj <> endobj 779 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 780 0 obj <> endobj 781 0 obj <> endobj 782 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 783 0 obj <> endobj 784 0 obj <>stream BT /T1_0 9.963 Tf 53.691 737.534 Td [(ASPLOS)-250(`19,)-250(April)-250(13\02517,)-250(2019,)-250(Pr)8(o)7(vidence)10(,)-250(RI,)-250(USA)]TJ 438.344 0 Td [(Sivathanu,)-250(et)-250(al.)]TJ /T1_1 9.963 Tf 0.998 0 0 1 53.701 710.037 Tm [(Ther)8(efor)8(e)10(,)-251(the)-251(e\034ciency)-251(of)-251(these)-252(long-tail)-251(mo)-7(dels)-251(is)-251(crucial)]TJ 1 0 0 1 54 698.082 Tm [(to)-250(AI)-250(inno)7(vation.)]TJ 1.02 0 0 1 63.963 686.127 Tm [(In)-274(this)-275(pap)-6(er)57(,)-274(w)8(e)-274(pr)7(esent)]TJ /T1_2 9.963 Tf 103.809 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf [(,)-274(a)-275(system)-274(that)-274(automati-)]TJ 0.98 0 0 1 54 674.172 Tm [(cally)-199(optimizes)-198(such)-199(long-tail)-198(mo)-8(dels)-198(to)-199(achie)7(v)8(e)-198(p)-7(erformance)]TJ 0.986 0 0 1 54 662.217 Tm [(similar)-252(to)-253(hand-co)-7(de)-7(d)-252(accelerators)-253(such)-252(as)-252(cuDNN,)-253(thus)-252(sig-)]TJ 0.983 0 0 1 54 650.262 Tm [(ni\033cantly)-255(impr)8(o)7(ving)-254(e)-1(\034ciency)-254(of)-255(DNN)-255(r)8(esear)8(ch.)-255(T)64(o)-255(achie)8(v)8(e)]TJ 0.98 0 0 1 54 638.306 Tm (this,)Tj /T1_2 9.963 Tf 19.54 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 23.807 0 Td [(emplo)7(ys)-226(a)-226(no)7(v)8(el)-226(appr)8(oach)-226(to)-227(optimization)-226(e)7(xploit-)]TJ 1 0 0 1 54 626.351 Tm [(ing)-250(the)-250(unique)-250(characteristics)-250(of)-250(the)-250(DNN)-250(w)8(orkload.)]TJ 1.02 0 0 1 63.963 614.396 Tm [(Our)-287(ke)7(y)-286(obser)-15(vation)-287(driving)-287(the)-286(design)-287(of)]TJ /T1_2 9.963 Tf 175.508 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.412 0 Td [(is)-287(that)]TJ -209.687 -11.955 Td [(a)-306(DNN)-306(training)-307(job)-306(is)-306(a)-306(unique)-306(w)8(orkload)-307(fr)8(om)-306(a)-306(systems)]TJ 0.998 0 0 1 54 590.486 Tm [(p)-7(ersp)-7(e)-7(ctiv)8(e)10(.)-251(Each)-250(job)-251(comprises)-250(of)-251(millions)-250(of)]TJ /T1_2 9.963 Tf 188.434 0 Td (mini-batches)Tj /T1_1 9.963 Tf (,)Tj 1.02 0 0 1 53.631 578.531 Tm [(wher)8(e)-344(each)-344(mini-batch)-344(lo)-7(oks)-344(at)-344(a)-344(small)-344(numb)-10(er)-344(of)-344(train-)]TJ 0.998 0 0 1 54 566.575 Tm [(ing)-249(inputs.)-249(Be)-7(cause)-249(each)-249(mini-batch)-250(typically)-249(go)-7(es)-249(thr)8(ough)]TJ 0.99 0 0 1 54 554.62 Tm [(e)7(xactly)-254(the)-254(same)-253(computation)-254(graph,)-254(mini-batches)-254(ar)8(e)-254(iden-)]TJ 1.01 0 0 1 54 542.665 Tm [(tical)-249(to)-248(each)-249(other)-249(fr)8(om)-249(a)-248(r)7(esour)8(ce-usage)-248(and)-249(p)-7(erformance)]TJ 0.999 0 0 1 53.751 530.71 Tm [(vie)7(wp)-7(oint.)-250(A)12(s)-250(a)-250(r)8(esult,)-249(p)-7(erhaps)-250(for)-250(the)-250(\033rst)-250(time)-250(in)-250(systems)]TJ 0.98 0 0 1 54 518.755 Tm [(r)8(esear)8(ch,)-242(w)8(e)-242(hav)8(e)-242(a)-243(pr)8(e)-7(dictable)11(,)-243(long-running)-242(w)8(orkload)-242(that)]TJ /T1_2 9.963 Tf 1 0 0 1 54 506.799 Tm [(de)-7(clar)8(es)]TJ /T1_1 9.963 Tf 33.783 0 Td [(its)-250(r)8(esour)8(ce)-250(usage)-250(and)-250(b)-10(ehavior)-250(ahead)-250(of)-250(time)10(.)]TJ /T1_2 9.963 Tf 1.015 0 0 1 63.963 494.844 Tm [(A)12(stra)]TJ /T1_1 9.963 Tf 24.023 0 Td [(takes)-248(advantage)-247(of)-248(such)-248(r)8(emarkable)-247(pr)7(e)-6(dictability)58(,)]TJ 1.02 0 0 1 54 482.889 Tm [(by)-289(adopting)-289(an)-290(aggr)8(essiv)8(e)-289(form)-289(of)-289(multi-v)7(ersion)-289(compila-)]TJ 0 -11.955 TD [(tion)-334([)]TJ 0.55 1 0 0.15 k 1 0 0 1 77.61 470.934 Tm (17)Tj 0 g 1.02 0 0 1 86.875 470.934 Tm (,)Tj 0.55 1 0 0.15 k 1 0 0 1 92.508 470.934 Tm (33)Tj 0 g 1.02 0 0 1 101.774 470.934 Tm (,)Tj 0.55 1 0 0.15 k 1 0 0 1 107.407 470.934 Tm (38)Tj 0 g 1.02 0 0 1 116.672 470.934 Tm [(].)-335(In)-334(contrast)-335(to)-334(traditional)-334(compilers)-335(that)]TJ 1.017 0 0 1 54 458.979 Tm [(pr)8(o)-7(duce)-246(one)-246(v)8(ersion)-246(of)-246(the)-246(co)-7(de)-246(using)-246(a)-246(cost)-246(mo)-7(del,)-246(multi-)]TJ 0.98 0 0 1 53.751 447.024 Tm [(v)8(ersion)-183(compilers)-183(pr)8(o)-7(duce)-183(di\035er)8(ent)-183(v)8(ersions)-183(of)-183(co)-8(de)-183(for)-183(\020hot")]TJ 0.985 0 0 1 54 435.068 Tm [(functions,)-253(with)-253(each)-253(v)8(ersion)-253(using)-254(a)-253(di\035er)8(ent)-253(choice)-253(of)-253(opti-)]TJ 0.986 0 0 1 54 423.113 Tm [(mizations;)-253(the)-253(runtime)-253(runs)-253(the)-254(di\035er)9(ent)-254(v)9(ersions)-254(and)-253(picks)]TJ 1.008 0 0 1 54 411.158 Tm [(the)-249(v)8(ersion)-249(that)-248(runs)-249(fastest.)-249(Such)-249(division)-248(of)-249(functionality)]TJ 1.004 0 0 1 54 399.203 Tm [(has)-249(tw)8(o)-249(vital)-250(b)-10(ene\033ts.)-249(First,)-249(the)-249(compiler)-249(can)-249(b)-10(e)-250(aggr)8(essiv)8(e)]TJ 1.02 0 0 1 54 387.248 Tm [(and)-289(go)-288(after)-289(long-tail)-289(optimizations)-288(\()]TJ /T1_2 9.963 Tf [(e)10(.g.)]TJ /T1_1 9.963 Tf 167.153 0 Td [(that)-289(only)-288(b)-10(ene\033t)]TJ 0.99 0 0 1 53.771 375.293 Tm [(10%)-253(of)-253(the)-253(w)8(orkloads\))-253(b)-10(e)-7(cause)-253(it)-254(ne)-7(e)-7(d)-253(not)-253(e)7(valuate)-253(the)-253(opti-)]TJ 0.98 0 0 1 54 363.337 Tm [(mizations,)-221(wher)8(eas)-221(a)-222(traditional)-221(compiler)-221(w)8(ould)-222(b)-10(e)-221(r)8(esour)8(ce-)]TJ 1.02 0 0 1 54 351.382 Tm [(limite)-7(d)-247(to)-248(fo)-6(cus)-248(only)-247(on)-248(br)8(oadly)-247(useful)-248(optimizations.)-247(Se)-7(c-)]TJ T* [(ond,)-321(the)-320(compiler)-321(is)-321(much)-320(simpler)-321(as)-321(it)-321(do)-6(es)-321(not)-321(ne)-7(e)-6(d)-321(to)]TJ 0.984 0 0 1 54 327.472 Tm [(build)-254(\()12(and)-253(ke)-7(ep)-254(up-to-date\))-254(comple)7(x)-254(p)-7(erformance)-253(mo)-8(dels)-253(of)]TJ 0.991 0 0 1 54 315.517 Tm [(GP)-49(U/har)8(dwar)8(e)-252(p)-7(erformance)10(,)-251(DNN)-251(op)-7(erators,)]TJ /T1_2 9.963 Tf 186.863 0 Td (etc.)Tj /T1_1 9.963 Tf [(,)-251(a)-251(particu-)]TJ 1.02 0 0 1 54 303.562 Tm [(larly)-251(challenging)-251(task)-250(giv)8(en)-251(the)-251(fr)8(enetic)-251(pace)-251(of)-250(change)-251(in)]TJ 1 0 0 1 54 291.606 Tm [(this)-250(space)-250(-)-250(b)-10(oth)-250(in)-250(har)8(dwar)8(e)-250([)]TJ 0.55 1 0 0.15 k (14)Tj 0 g (,)Tj 0.55 1 0 0.15 k 138.52 0 Td (15)Tj 0 g (,)Tj 0.55 1 0 0.15 k 13.948 0 Td (21)Tj 0 g [(])-250(and)-250(w)8(orkload.)]TJ 0.98 0 0 1 63.963 279.651 Tm [(While)-236(multi-v)8(ersion)-237(compilation)-236(for)]TJ /T1_2 9.963 Tf 149.372 0 Td (generic)Tj /T1_1 9.963 Tf 30.439 0 Td [(pr)8(ograms)-236(has)]TJ -189.978 -11.955 Td [(signi\033cant)-230(practical)-230(challenges)-231(b)-10(e)-7(cause)-230(of)-230(variability)-231(in)-230(com-)]TJ 1.02 0 0 1 54 255.741 Tm [(putation)-275(acr)8(oss)-274(input)-275(instances,)-275(often)-274(r)7(e)-6(quiring)-275(statistical)]TJ 0.98 0 0 1 54 243.786 Tm [(te)-7(chniques)-203(that)-203(run)-203(each)-202(v)8(ersion)-203(thousands)-203(of)-203(times)-202([)]TJ 0.55 1 0 0.15 k 1 0 0 1 264.473 243.786 Tm (17)Tj 0 g 0.98 0 0 1 273.738 243.786 Tm [(],)-203(the)]TJ -224.222 -11.955 Td [(r)8(ep)-7(eatability)-225(of)-224(the)-225(de)-7(ep)-224(learning)-225(w)8(orkload)-225(makes)-224(it)-225(an)-224(ideal)]TJ 0.999 0 0 1 54 219.875 Tm [(\033t,)-250(b)-10(e)-7(cause)-249(a)-250(particular)-250(choice)-250(of)-249(optimizations)-250(ne)-7(e)-7(ds)-250(to)-250(b)-10(e)]TJ 1.02 0 0 1 54 207.92 Tm [(measur)8(e)-7(d)-289(only)-289(once)10(.)-289(This)-289(emp)-7(o)7(w)7(ers)]TJ /T1_2 9.963 Tf 152.872 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.434 0 Td [(to)-289(amplify)-289(the)]TJ -177.306 -11.955 Td [(impact)-259(of)-260(multi-v)8(ersioning)-260(by)-259(signi\033cantly)-260(e)7(xpanding)-259(the)]TJ 0.98 0 0 1 54 184.01 Tm [(scop)-7(e)-222(of)-222(online)-222(adaptation.)-222(Instead)-221(of)-222(op)-7(erating)-222(at)-222(the)-222(granu-)]TJ T* [(larity)-219(of)-219(individual)-219(\020hot")-219(functions)-219(like)-219(generic)-218(multi-v)8(ersion)]TJ 1.02 0 0 1 54 160.1 Tm (compilers,)Tj /T1_2 9.963 Tf 44.7 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.363 0 Td [(r)8(easons)-282(ab)-10(out)-282(the)-281(entir)8(e)-282(data)-282(\036o)7(w)-282(graph)]TJ 1.007 0 0 1 54 148.144 Tm [(and)-247(e)7(xplor)8(es)-248(interactions)-247(b)-10(etw)8(e)-7(en)-247(dep)-7(endent)-247(optimization)]TJ 0.98 0 0 1 54 136.189 Tm [(choices)-232(at)-232(various)-231(parts)-232(of)-232(the)-232(graph,)-232(r)8(esulting)-231(in)-232(end-to-end)]TJ 1 0 0 1 54 124.234 Tm [(impr)8(o)7(v)8(ement)-250(in)-250(training)-250(time)-250(acr)8(oss)-250(a)-250(variety)-250(of)-250(mo)-7(dels.)]TJ 1.02 0 0 1 63.963 112.279 Tm [(A)-326(ke)7(y)-326(challenge)-326(in)-326(this)-326(appr)8(oac)-1(h)-326(of)-326(end-to-end)-326(online)]TJ 0.98 0 0 1 54 100.324 Tm [(adaptation)-174(is)-174(managing)-173(the)-174(size)-174(of)-174(the)-173(e)7(xploration)-174(state)-174(space;)]TJ 1.02 0 0 1 54 88.369 Tm [(at)-244(one)-244(e)6(xtr)8(eme)10(,)-244(if)-244(the)-244(compiler)-245(enumerate)-7(d)-244(e)7(v)8(er)-15(y)-244(p)-7(ossibil-)]TJ 0 -11.956 TD [(ity)58(,)-324(the)-324(state)-324(space)-324(could)-324(get)-324(to)-7(o)-324(large)10(.)-325(W)79(e)-324(use)-324(thr)7(e)-6(e)-324(ke)6(y)]TJ 258.779 633.624 Td [(te)-7(chniques)-245(to)-244(ke)-7(ep)-245(the)-244(state)-245(space)-245(under)-244(contr)7(ol.)-244(First,)-245(w)8(e)]TJ 0.98 0 0 1 317.955 698.082 Tm [(use)-256(simple)-256(coarse-graine)-7(d)-256(static)-256(information)-257(at)-256(the)-256(compiler)]TJ 1.01 0 0 1 317.955 686.127 Tm [(to)-247(b)-9(e)-247(intelligent)-247(in)-246(the)-247(enumeration)-246(phase)10(,)-247(so)-246(that)-247(only)-246(p)-7(o-)]TJ 0.991 0 0 1 317.955 674.172 Tm [(tentially)-253(inter)8(esting)-254(candidates)-253(ar)8(e)-254(enumerate)-7(d.)-253(Se)-7(cond,)-253(w)8(e)]TJ 0.981 0 0 1 317.955 662.217 Tm [(p)-7(erform)-256(pr)8(o\033ling)-256(at)-257(a)-256(\033ne-graine)-7(d)-256(le)7(v)8(el)-256(to)-256(allo)7(w)-256(parallelism)]TJ 1.02 0 0 1 317.955 650.262 Tm [(in)-302(state-space)-302(e)7(xploration.)-302(In)-302(contrast)-302(to)-302(te)-7(chniques)-302(such)]TJ T* [(as)-287(Halide)-286(Op)-7(enT)38(uner)-286([)]TJ 0.55 1 0 0.15 k 1 0 0 1 413.529 638.306 Tm (3)Tj 0 g 1.02 0 0 1 418.161 638.306 Tm [(])-287(which)-286(only)-287(measur)8(e)-286(end-to-end)]TJ 0.993 0 0 1 317.955 626.351 Tm [(runtime)-252(and)-252(hence)-252(r)9(ely)-252(on)-252(random)-252(mutations)-252(one)-252(at)-251(a)-252(time)10(,)]TJ /T1_2 9.963 Tf 1.007 0 0 1 317.955 614.396 Tm [(A)12(stra)]TJ /T1_1 9.963 Tf 24.03 0 Td [(can)-248(simultane)-7(ously)-249(adapt)-248(se)7(v)8(eral)-249(\()-12(hundr)8(e)-7(ds)-248(of)-76(\))-248(inde-)]TJ 0.98 0 0 1 317.955 602.441 Tm [(p)-7(endent)-211(con\033guration)-210(parameters)-210(by)-211(e)7(xploiting)-210(\033ne-graine)-7(d)]TJ 1.014 0 0 1 317.955 590.486 Tm [(measur)8(ements.)-246(This)-246(makes)-246(the)-245(size)-246(of)-246(the)-246(state)-246(space)-246(addi-)]TJ 0.989 0 0 1 317.955 578.531 Tm [(tiv)8(e)-252(rather)-253(than)-253(multiplicativ)9(e)-253(in)-253(the)-252(numb)-10(er)-253(of)-252(dimensions.)]TJ 0.98 0 0 1 317.656 566.575 Tm [(Thir)8(d,)-230(w)8(e)-230(use)-230(the)-230(initial)-230(pr)8(o\033le)-230(measur)8(ements)-230(during)-230(the)-230(on-)]TJ 0.99 0 0 1 317.955 554.62 Tm [(line)-252(e)7(xploration)-252(as)-251(signals)-252(to)-252(prune)-252(the)-251(dynamic)-252(state)-252(space)]TJ 1 0 0 1 317.955 542.665 Tm [(in)-250(an)-250(intelligent)-250(manner)59(.)]TJ 1.02 0 0 1 327.918 530.71 Tm [(W)78(e)-319(hav)7(e)-320(implemente)-6(d)]TJ /T1_2 9.963 Tf 95.206 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.742 0 Td [(in)-320(tw)8(o)-320(p)-7(opular)-320(DL)-320(frame-)]TJ 0.98 0 0 1 317.587 518.755 Tm [(w)8(orks)-209(-)-210(Py)40(T)65(o)-1(r)9(ch)-210([)]TJ 0.55 1 0 0.15 k 1 0 0 1 388.095 518.755 Tm (25)Tj 0 g 0.98 0 0 1 397.361 518.755 Tm [(])-209(and)-210(T)65(ensor\036o)7(w)-210([)]TJ 0.55 1 0 0.15 k 1 0 0 1 469.773 518.755 Tm (1)Tj 0 g 0.98 0 0 1 474.406 518.755 Tm [(],)-209(and)-210(hav)8(e)-209(e)7(valuate)-7(d)]TJ 1.02 0 0 1 317.955 506.799 Tm [(the)-295(system)-296(on)-295(se)7(v)7(eral)-295(state-of-the-art)-295(de)-7(ep)-296(learning)-295(mo)-7(d-)]TJ 0 -11.955 TD [(els.)-290(W)79(e)-290(demonstrate)-289(that)]TJ /T1_2 9.963 Tf 104.73 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.439 0 Td [(signi\033cantly)-289(sp)-7(e)-7(e)-7(ds)-289(up)-290(ad)]TJ 1.014 0 0 1 317.955 482.889 Tm [(ho)-7(c)-246(mo)-7(dels,)-246(up)-246(to)-246(3x)-246(in)-246(cases)-247(wher)8(e)-246(the)-246(mo)-7(del)-246(do)-7(es)-246(not)-246(\033t)]TJ 1.02 0 0 1 317.955 470.934 Tm [(an)-263(e)7(xisting)-263(cuDNN)-262(implementation.)-263(W)78(e)-263(also)-262(sho)6(w)-262(that)-263(in)]TJ 0.98 0 0 1 317.955 458.979 Tm [(cases)-252(wher)8(e)-253(cuDNN)-252(do)-7(es)-253(apply)60(,)]TJ /T1_2 9.963 Tf 132.136 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.068 0 Td [(achie)7(v)8(es)-252(p)-7(erformance)]TJ 1 0 0 1 317.955 447.024 Tm [(comparable)-249(to)-250(cuDNN)-249(for)-250(those)-249(mo)-7(dels.)-249(W)80(e)-250(also)-249(sho)7(w)-250(that)]TJ /T1_2 9.963 Tf 1.02 0 0 1 317.955 435.068 Tm [(A)12(stra)]TJ /T1_1 9.963 Tf 23.999 0 Td [(manages)-245(its)-246(e)7(xploration)-245(state)-245(space)-246(quite)-245(e\035e)-7(ctiv)8(ely)58(,)]TJ 0.986 0 0 1 317.955 423.113 Tm [(and)-255(that)-254(it)-255(outp)-7(erforms)-255(static)-254(optimization)-255(appr)8(oaches)-255(such)]TJ 0.98 0 0 1 317.955 411.158 Tm [(as)-237(XLA)-237(by)-238(up)-237(to)-237(72%)-237(b)-11(esides)-237(b)-10(eing)-237(signi\033cantly)-238(mor)9(e)-238(r)9(obust.)]TJ 1 0 0 1 327.918 399.203 Tm [(The)-250(ke)7(y)-250(contributions)-250(of)-250(the)-250(pap)-7(er)-250(ar)8(e)-250(as)-250(follo)7(ws.)]TJ /T1_3 9.963 Tf -10.431 -23.91 Td (\017)Tj /T1_1 9.963 Tf 0.986 0 0 1 326.423 375.293 Tm [(W)81(e)-255(identify)-254(and)-255(le)7(v)8(erage)-254(the)-255(unique)-254(characteristics)-255(of)-255(the)]TJ 0.98 0 0 1 326.423 363.337 Tm [(de)-7(ep)-240(learning)-240(w)8(orkload)-240(to)-239(do)-240(e)7(xtr)8(eme)-240(tailoring)-240(or)-239(custom-)]TJ 0.998 0 0 1 326.055 351.382 Tm [(wiring)-251(of)-250(the)-251(infrastructur)8(e)-251(for)-250(a)-251(sp)-7(e)-7(ci\033c)-251(job)20(,)-251(r)8(esulting)-250(in)]TJ 1 0 0 1 326.423 339.427 Tm [(signi\033cant)-250(e\034ciency)-250(gains;)]TJ /T1_3 9.963 Tf -8.936 -11.955 Td (\017)Tj /T1_1 9.963 Tf 1.007 0 0 1 326.423 327.472 Tm [(W)79(e)-249(pr)8(op)-7(ose)-249(and)-249(e)7(valuate)-249(a)-249(ne)7(w)-250(ar)8(chite)-7(ctural)-249(frame)7(w)8(ork)]TJ 1.014 0 0 1 326.423 315.517 Tm [(for)-246(optimization)-246(of)-247(such)-246(custom)-246(w)8(orkloads,)-246(with)-246(aggr)8(es-)]TJ 1.013 0 0 1 326.423 303.562 Tm [(siv)8(e)-247(multi-v)8(ersion)-247(compilation)-246(at)-247(a)-246(whole-pr)8(ogram)-247(le)7(v)8(el)]TJ 0.99 0 0 1 326.423 291.606 Tm [(that)-251(p)-7(erforms)-251(parallel)-251(e)7(xploration)-251(of)-251(indep)-7(endent)-251(choices)]TJ 1 0 0 1 326.423 279.651 Tm [(by)-250(using)-250(\033ne-graine)-7(d)-250(pr)8(o\033ling.)]TJ /T1_3 9.963 Tf -8.936 -11.955 Td (\017)Tj /T1_1 9.963 Tf 1.007 0 0 1 326.423 267.696 Tm [(W)79(e)-249(demonstrate)-249(with)-250(a)-249(detaile)-7(d)-249(e)7(valuation)-249(that)-250(the)-249(state)]TJ 1.001 0 0 1 326.423 255.741 Tm [(space)-249(of)-249(online)-248(e)7(xploration)-249(is)-249(manageable)-249(with)-248(our)-249(prun-)]TJ 1 0 0 1 326.423 243.786 Tm [(ing)-249(strategies,)-248(and)-249(that)-248(end-to-end)-249(mo)-7(dels)-248(get)-249(signi\033cant)]TJ 1.017 0 0 1 326.423 231.831 Tm [(sp)-7(e)-7(e)-7(dups)-244(o)7(v)8(er)-244(nativ)8(e)-244(Py)38(T)62(or)8(ch)-244(and)-244(T)62(ensor\036o)7(w)58(,)-244(and)-244(e)7(v)8(en)]TJ 1 0 0 1 326.423 219.875 Tm [(o)7(v)8(er)-250(static)-250(optimizers)-250(such)-250(as)-250(XLA.)]TJ /T1_3 9.963 Tf -8.936 -11.955 Td (\017)Tj /T1_1 9.963 Tf 0.985 0 0 1 326.423 207.92 Tm [(W)81(e)-255(identify)-256(some)-256(simple)-255(functionality)-256(that)-255(ne)7(w)-256(har)8(dwar)8(e)]TJ 1.016 0 0 1 326.423 195.965 Tm [(for)-246(de)-7(ep)-246(learning)-246(ne)-7(e)-7(ds)-246(to)-246(conform)-246(to)-246(in)-245(or)7(der)-246(to)-246(enable)]TJ 1 0 0 1 326.423 184.01 Tm [(our)-250(adaptation)-250(apr)8(oach.)]TJ 1.02 0 0 1 327.918 160.1 Tm [(The)-251(r)8(est)-251(of)-251(the)-251(pap)-7(er)-251(is)-251(structur)8(e)-7(d)-251(as)-251(follo)7(ws.)-251(In)-251(\237)]TJ 0.55 1 0 0.15 k 204.433 0 Td (2)Tj 0 g [(,)-251(w)8(e)]TJ -214.2 -11.956 Td [(pr)8(o)7(vide)-274(a)-273(backgr)8(ound)-274(of)-273(de)-7(ep)-273(learning)-274(w)8(orkloads)-274(.)-273(In)-274(\237)]TJ 0.55 1 0 0.15 k 229.588 0 Td (3)Tj 0 g (,)Tj 0.994 0 0 1 317.587 136.189 Tm [(w)8(e)-252(outline)-251(the)-252(various)-252(dimensions)-252(of)-252(the)-251(optimization)-252(state)]TJ 1.02 0 0 1 317.955 124.234 Tm [(space)-259(for)-259(DNNs.)-260(W)79(e)-259(pr)7(esent)-259(the)-259(design)-259(of)]TJ /T1_2 9.963 Tf 172.606 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf 24.138 0 Td [(in)-259(\237)]TJ 0.55 1 0 0.15 k 17.973 0 Td (4)Tj 0 g [(,)-260(de-)]TJ -214.717 -11.955 Td [(scrib)-10(e)-298(the)-299(pr)8(ototyp)-7(e)-298(implementation)-298(in)-299(\237)]TJ 0.55 1 0 0.15 k 172.104 0 Td (5)Tj 0 g 7.601 0 Td [(and)-299(pr)8(esent)-298(a)]TJ -179.705 -11.955 Td [(detaile)-7(d)-280(e)6(valuation)-280(in)-281(\237)]TJ 0.55 1 0 0.15 k 98.709 0 Td (6)Tj 0 g [(.)-281(In)-280(\237)]TJ 0.55 1 0 0.15 k 28.284 0 Td (7)Tj 0 g [(,)-281(w)8(e)-280(outline)-281(the)-280(basic)-281(fea-)]TJ 0.98 0 0 1 317.955 88.369 Tm [(tur)8(es)-229(ne)-7(e)-8(de)-7(d)-229(fr)8(om)-229(ne)7(w)-230(DNN)-229(har)8(dwar)8(e)11(,)-230(to)-229(supp)-7(ort)]TJ /T1_2 9.963 Tf 205.854 0 Td [(A)12(stra)]TJ /T1_1 9.963 Tf [(.)-230(W)82(e)]TJ 1 0 0 1 317.955 76.413 Tm [(discuss)-250(r)8(elate)-7(d)-250(w)8(ork)-250(in)-250(\237)]TJ 0.55 1 0 0.15 k 103.382 0 Td (8)Tj 0 g [(,)-250(and)-250(conclude)-250(in)-250(\237)]TJ 0.55 1 0 0.15 k 83.447 0 Td (9)Tj 0 g (.)Tj ET /QITE_maskingtape BMC 1 g 46.37 733.8 518.3 18.19 re f EMC /Artifact <>BDC q 1 0 0 1 54 755.4614258 cm 0 g /GS0 gs /Fm0 Do Q EMC /Artifact <>BDC q 1 0 0 1 371.2230225 755.4614258 cm 0 g /GS0 gs /Fm1 Do Q EMC /Artifact <>BDC q 1 0 0 1 299.7244873 38.5740509 cm 0 g /GS0 gs /Fm2 Do Q EMC endstream endobj 785 0 obj <>>>/Resources 794 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (Session: ) Tj 31.667 0 Td (Machine ) Tj 34.607 0 Td (Learning ) Tj 34.998 0 Td (III) Tj ET endstream endobj 786 0 obj <>>>/Resources 791 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (ASPLOS\22219, ) Tj 46.094 0 Td (April ) Tj 20.417 0 Td (13\22617, ) Tj 25.765 0 Td (2019, ) Tj 20.773 0 Td (Providence, ) Tj 45.018 0 Td (RI, ) Tj 12.269 0 Td (USA) Tj ET endstream endobj 787 0 obj <>>>/Resources 788 0 R/Subtype/Form>>stream 0 g 0 G 0 i 0 J []0 d 0 j 1 w 10 M 0 Tc 0 Tw 100 Tz 0 TL 0 Tr 0 Ts BT /LinuxBiolinum 9 Tf 0 g 0 -8.046 Td (910) Tj ET endstream endobj 788 0 obj <> endobj 789 0 obj <> endobj 790 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 791 0 obj <> endobj 792 0 obj <> endobj 793 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
endstream endobj 794 0 obj <> endobj 795 0 obj <> endobj 796 0 obj <>stream /
Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
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Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
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Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
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Session: Machine Learning III
ASPLOS’19, April 13–17, 2019, Providence, RI, USA
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