%PDF-1.5 % 1 0 obj << /S /GoTo /D (section.1) >> endobj 4 0 obj (Introduction) endobj 5 0 obj << /S /GoTo /D (subsection.1.1) >> endobj 8 0 obj (Other Related Work) endobj 9 0 obj << /S /GoTo /D (subsection.1.2) >> endobj 12 0 obj (Organization:) endobj 13 0 obj << /S /GoTo /D (section.2) >> endobj 16 0 obj (Problem definition and main results) endobj 17 0 obj << /S /GoTo /D (subsection.2.1) >> endobj 20 0 obj (Stochastic Input Models:) endobj 21 0 obj << /S /GoTo /D (subsection.2.2) >> endobj 24 0 obj (Benchmarks.) endobj 25 0 obj << /S /GoTo /D (subsection.2.3) >> endobj 28 0 obj (Performance Measures.) endobj 29 0 obj << /S /GoTo /D (subsection.2.4) >> endobj 32 0 obj (Main Results.) endobj 33 0 obj << /S /GoTo /D (section.3) >> endobj 36 0 obj (Preliminaries) endobj 37 0 obj << /S /GoTo /D (subsection.3.1) >> endobj 40 0 obj (Fenchel duality.) endobj 41 0 obj << /S /GoTo /D (subsection.3.2) >> endobj 44 0 obj (Strong convexity/Smoothness Duality.) endobj 45 0 obj << /S /GoTo /D (subsection.3.3) >> endobj 48 0 obj (Online Learning.) endobj 49 0 obj << /S /GoTo /D (section.4) >> endobj 52 0 obj (Feasibility Problem) endobj 53 0 obj << /S /GoTo /D (section.5) >> endobj 56 0 obj (Online stochastic convex programming) endobj 57 0 obj << /S /GoTo /D (section.6) >> endobj 60 0 obj (Online stochastic packing ) endobj 61 0 obj << /S /GoTo /D (section.7) >> endobj 64 0 obj (Stronger bounds for smooth functions) endobj 65 0 obj << /S /GoTo /D (appendix.A) >> endobj 68 0 obj (Concentration Inequalities) endobj 69 0 obj << /S /GoTo /D (appendix.B) >> endobj 72 0 obj (Preliminaries) endobj 73 0 obj << /S /GoTo /D (subsection.B.1) >> endobj 76 0 obj (Strong smoothness/Strong convexity duality.) endobj 77 0 obj << /S /GoTo /D (subsection.B.2) >> endobj 80 0 obj (Online learning.) endobj 81 0 obj << /S /GoTo /D (appendix.C) >> endobj 84 0 obj (Sampling without replacement bounds for Section 4) endobj 85 0 obj << /S /GoTo /D (appendix.D) >> endobj 88 0 obj (Proof of Lemma 5.1) endobj 89 0 obj << /S /GoTo /D (appendix.E) >> endobj 92 0 obj (Proof of Theorem 2.1) endobj 93 0 obj << /S /GoTo /D (appendix.F) >> endobj 96 0 obj (Estimating the parameter Z) endobj 97 0 obj << /S /GoTo /D (appendix.G) >> endobj 100 0 obj (Proof of Lemma 6.3) endobj 101 0 obj << /S /GoTo /D [102 0 R /FitH] >> endobj 113 0 obj << /Length 4583 /Filter /FlateDecode >> stream xڭ[Y~`qy4Ggĉp‘8Rg(RÞɯO}U$%q V9loMQ4ڤyIo~r쇻mDvv8zCMmJn~۶3~g}CWN9|GQ C?xFfr?/"ǣ=w%5nS(৬l2Ȃ=dq\H ^$>lUby>%W6rV,b?5_P>7_QV8&[~ ,mh.=:$P/XR>o|BMʼn1 EWrBxdTP\mL r,^rXRrQ_MUv< JWja,;ᱡ"7aQ:)FY=29E$UL'[bkX@b(nQ]ۓ8kOU*0%K:DkBl$$#K`N+tã'u>,` nUP$l$T+VYX$'Iw&"= $_lUcE vs]uJkB9oX1'&4 (1-tZ&#IϠh.-\c w],_W@2a1$L2XR Ncn$ÀĩױJ_FVD;Nc"W=;f?L8bg!N0\40_)]W<$|\X8֎&n>1bd[Iv]oQ޺54LD&QB0 ?4wq$OxUpY0HӖ8E3JSED22C/߬m9BJXAxJ)!Wݮm戚՘;^z{hOAhv:8H-3U-q{tg XPjk5 Eb@q]v~HIRt ҃ uډ;+&l/(J 3^)i*mhj;V͎c/(LjkI].TI{WF枎=*s EZ_ *= V;#FHnjLL\vBV־$~o>F "7 ]WIA$cϪUtkqxZ*OalȘ -9_I==$ tEr3ap6eH!J: 6Т;{K#eWV '2Ey┏d؍^p<܎)\-E`%;\H&ŦS9(89K/Ω|'oFqs9+hnQ &8!G p|"-f/[>)5b%%U)JnW&~ʓɦƒFq`JRA$r[+BN ;*9ҔUb6ET$BJ1_ WCԅ$H+ah~{ᾱ:\"ωm{(!࿰0lTP:kȺCji+ zAK9#K6<3S˪8=-0vn О>kvrAz݇iمXF@ .oO†ҫjRQq-'Bqи]~+f ^J (Ejp*tpq{ h|:Z#Q"yXP< GOi(&IbT4Bq~\.껒*T^r~ݿ R&ܤm22#&No~9쩀ŧ|jMT97K($d~2, N |qm`8`y x|i{ՓN[^!h 3?4kAƈ1^>l&I1O_/JwbYl'FYȤI$bWA{p*4G|Wcɳߛl":h0 =MĒ@ OnynI,Bkql4JG85*h,2#+LJ+kHPP& XBLR>9Ё]-kPIޮ ah@8 `S{ 73 7ovIK?Is6itQD $3vWs?ʦ `}5ʽ48kK .a,$Q-`y#3qPB"D{3x %׺̊ы 6_[@V 9F$&RK.dޒ{VLQ 9rRqFA;^N愪4]_%(QSIL vh4si_c2. #<'G͑vbC ^BkBWmMǮ=o&D'jImK+9҂Z$t$]HGI`S` jXtz/`4ʼT(cc{]tw\ٕ{ E?9<1%EJĂF2+GGs'v_ 8|qN]7Qowpn..ZvF+l-\*Bz9aD 8%DHKeqJJv˭ɾ N.^ 72@fNonA;_>j*M=IZ%UKBݻS!ة\-M\0ͅzP,Z]JXyG$[ɢHަL8ak3-+X0'iz7F樴 gqi$7=wxŪ HDj1JC"8cL_z7q|O+tɁћ`n\uh\t <*paI8Q9EFsZV,Ҏ!IL9" M)qa$'NGu% Q͝+3P3)f.. 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