Privately Estimating a Gaussian: Efficient, Robust, and Optimal

Author:

Alabi Daniel1,Kothari Pravesh K.2,Tankala Pranay3,Venkat Prayaag3,Zhang Fred4

Affiliation:

1. Columbia University, USA

2. Carnegie Mellon University, USA

3. Harvard University, USA

4. University of California at Berkeley, Berkeley, USA

Funder

Simons Foundation

National Science Foundation

Google

Alfred P. Sloan Foundation

Publisher

ACM

Reference56 articles.

1. Ishaq Aden-Ali Hassan Ashtiani and Gautam Kamath. 2021. On the sample complexity of privately learning unbounded high-dimensional gaussians. In Algorithmic Learning Theory (ALT). Ishaq Aden-Ali Hassan Ashtiani and Gautam Kamath. 2021. On the sample complexity of privately learning unbounded high-dimensional gaussians. In Algorithmic Learning Theory (ALT).

2. A General Class of Coefficients of Divergence of One Distribution from Another

3. Hassan Ashtiani and Christopher Liaw . 2022 . Private and polynomial time algorithms for learning Gaussians and beyond . In Conference on Learning Theory (COLT). Hassan Ashtiani and Christopher Liaw. 2022. Private and polynomial time algorithms for learning Gaussians and beyond. In Conference on Learning Theory (COLT).

4. Amos Beimel , Shiva Prasad Kasiviswanathan , and Kobbi Nissim . 2010 . Bounds on the Sample Complexity for Private Learning and Private Data Release. In Conference on Theory of Cryptography (TCC) (Lecture Notes in Computer Science). Amos Beimel, Shiva Prasad Kasiviswanathan, and Kobbi Nissim. 2010. Bounds on the Sample Complexity for Private Learning and Private Data Release. In Conference on Theory of Cryptography (TCC) (Lecture Notes in Computer Science).

5. Sourav Biswas , Yihe Dong , Gautam Kamath , and Jonathan Ullman . 2020 . Coinpress: Practical private mean and covariance estimation. In Advances in Neural Information Processing Systems (NeurIPS). Sourav Biswas, Yihe Dong, Gautam Kamath, and Jonathan Ullman. 2020. Coinpress: Practical private mean and covariance estimation. In Advances in Neural Information Processing Systems (NeurIPS).

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