Efficient mean estimation with pure differential privacy via a sum-of-squares exponential mechanism

Author:

Hopkins Samuel B.1,Kamath Gautam2,Majid Mahbod2

Affiliation:

1. University of California at Berkeley, USA / Massachusetts Institute of Technology, USA

2. University of Waterloo, Canada

Publisher

ACM

Reference67 articles.

1. Ishaq Aden-Ali , Hassan Ashtiani , and Gautam Kamath . 2021 . On the Sample Complexity of Privately Learning Unbounded High-Dimensional Gaussians . In Proceedings of the 32nd International Conference on Algorithmic Learning Theory (ALT '21) . JMLR, Inc. , 185 - 216 . Ishaq Aden-Ali, Hassan Ashtiani, and Gautam Kamath. 2021. On the Sample Complexity of Privately Learning Unbounded High-Dimensional Gaussians. In Proceedings of the 32nd International Conference on Algorithmic Learning Theory (ALT '21). JMLR, Inc., 185-216.

2. Ishaq Aden-Ali , Hassan Ashtiani , and Christopher Liaw . 2021. Privately Learning Mixtures of Axis-Aligned Gaussians . In Advances in Neural Information Processing Systems 34 ( NeurIPS '21). Curran Associates , Inc . Ishaq Aden-Ali, Hassan Ashtiani, and Christopher Liaw. 2021. Privately Learning Mixtures of Axis-Aligned Gaussians. In Advances in Neural Information Processing Systems 34 ( NeurIPS '21). Curran Associates, Inc.

3. Diferentially Private Covariance Estimation. In Advances in Neural Information Processing Systems 32 ( NeurIPS '19). Curran Associates;Amin Kareem;Inc.,2019

4. Hassan Ashtiani and Christopher Liaw. 2021. Private and polynomial time algorithms for learning Gaussians and beyond. arXiv preprint arXiv:2111.11320 ( 2021 ). Hassan Ashtiani and Christopher Liaw. 2021. Private and polynomial time algorithms for learning Gaussians and beyond. arXiv preprint arXiv:2111.11320 ( 2021 ).

5. Marco Avella-Medina and Victor-Emmanuel Brunel . 2019. Diferentially Private Sub-Gaussian Location Estimators. arXiv preprint arXiv : 1906 . 11923 ( 2019 ). Marco Avella-Medina and Victor-Emmanuel Brunel. 2019. Diferentially Private Sub-Gaussian Location Estimators. arXiv preprint arXiv: 1906. 11923 ( 2019 ).

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