# Private Learning Implies Online Learning: An Efficient Reduction

## Author(s): Gonen, Alon; Hazan, Elad; Moran, Shay

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 Abstract: We study the relationship between the notions of differentially private learning and online learning. Several recent works have shown that differentially private learning implies online learning, but an open problem of Neel, Roth, and Wu \cite{NeelAaronRoth2018} asks whether this implication is {\it efficient}. Specifically, does an efficient differentially private learner imply an efficient online learner? In this paper we resolve this open question in the context of pure differential privacy. We derive an efficient black-box reduction from differentially private learning to online learning from expert advice. Publication Date: 2019 Citation: Gonen, Alon, Elad Hazan, and Shay Moran. "Private Learning Implies Online Learning: An Efficient Reduction." Advances in Neural Information Processing Systems 32 (2019). ISSN: 1049-5258 Type of Material: Conference Article Journal/Proceeding Title: Advances in Neural Information Processing Systems Version: Final published version. Article is made available in OAR by the publisher's permission or policy.