Meeting in Mathematical Statistics: Statistical thinking in the age of AI : robustness, fairness and privacy / Rencontre de Statistique Mathématique

Collection Meeting in Mathematical Statistics: Statistical thinking in the age of AI : robustness, fairness and privacy / Rencontre de Statistique Mathématique

Organizer(s) Klopp, Olga ; Ndaoud, Mohamed ; Pouet, Christophe ; Rakhlin, Alexander
Date(s) 18/12/2023 - 22/12/2023
linked URL https://conferences.cirm-math.fr/3087.html
00:00:00 / 00:00:00
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It is of soaring demand to develop statistical analysis tools that are robust against contamination as well as preserving individual data owners' privacy. In spite of the fact that both topics host a rich body of literature, to the best of our knowledge, we are the first to systematically study the connections between the optimality under Huber's contamination model and the local differential privacy (LDP) constraints. We start with a general minimax lower bound result, which disentangles the costs of being robust against Huber's contamination and preserving LDP. We further study four concrete examples: a two-point testing problem, a potentially-diverging mean estimation problem, a nonparametric density estimation problem and a univariate median estimation problem. For each problem, we demonstrate procedures that are optimal in the presence of both contamination and LDP constraints, comment on the connections with the state-of-the-art methods that are only studied under either contamination or privacy constraints, and unveil the connections between robustness and LDP via partially answering whether LDP procedures are robust and whether robust procedures can be efficiently privatised. Overall, our work showcases a promising prospect of joint study for robustness and local differential privacy. This is joint work with Mengchu Li and Yi Yu.

Information about the video

  • Date of recording 21/12/2023
  • Date of publication 08/01/2024
  • Institution CIRM
  • Licence CC BY NC ND
  • Language English
  • Director(s) Luca Recanzone
  • Format MP4

Citation data

  • DOI 10.24350/CIRM.V.20119903
  • Cite this video Berrett, Thomas (21/12/2023). On robustness and local differential privacy. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20119903
  • URL https://dx.doi.org/10.24350/CIRM.V.20119903

Domain(s)

Bibliography

  • LI, Mengchu, BERRETT, Thomas B., et YU, Yi. On robustness and local differential privacy. The Annals of Statistics, 2023, vol. 51, no 2, p. 717-737. - http://dx.doi.org/10.1214/23-AOS2267

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