@inproceedings{dohmatob2024precise, author = {Dohmatob, Elvis and Scetbon, Meyer}, title = {Precise Accuracy / Robustness Tradeoffs in Regression: Case of General Norms}, booktitle = {ICML 2024}, year = {2024}, month = {May}, abstract = {We investigate the impact of test-time adversarial attacks on linear regression models and determine the optimal level of robustness that any model can reach while maintaining a given level of standard predictive performance (accuracy). Through quantitative estimates, we uncover fundamental tradeoffs between adversarial robustness and accuracy in different regimes. We obtain a precise characterization which distinguishes between regimes where robustness is achievable without hurting standard accuracy and regimes where a tradeoff might be unavoidable. Our findings are empirically confirmed with simple experiments that represent a variety of settings. This work covers feature covariance matrices and attack norms of any nature, extending previous works in this area.}, url = {http://approjects.co.za/?big=en-us/research/publication/precise-accuracy-robustness-tradeoffs-in-regression-case-of-general-norms/}, }