@article{exactlowerboundsfortheagnosticprobably, title = {Exact Lower Bounds for the Agnostic Probably-Approximately-Correct (PAC) Machine Learning Model}, author = {Aryeh Kontorovich and Iosif Pinelis}, year = {2016}, eprint = {1606.08920}, archivePrefix = {arXiv}, url = {http://arxiv.org/abs/1606.08920v2}, }