• Start Date: October 4, 2023
  • Event Start Time: 11:00 AM
  • Event End Time: 12:00 PM
  • Seminar Series: Theoretical Computer Science Seminar
  • Presenter(s): Pasin Manurangsi - Google
  • Event Location: Conference Room 301 | Rutgers University | CoRE Building | 96 Frelinghuysen Road
  • Event Additional Info: <p>See:&nbsp;<a href="https://theory.cs.rutgers.edu/theory_seminar">https://theory.cs.rutgers.edu/theory_seminar</a></p>
  • Presentation Type: Stand Alone Presentation
  • Abstract:

    Previous work on user-level differential privacy (DP) [Ghazi et al., NeurIPS 2021; Bun et al., STOC 2023] obtained generic algorithms that work for various learning tasks. However, their focus was on the example-rich regime, where the users have so many examples that each user could themselves solve the problem. In this work we consider the example-scarce regime, where each user has only a few examples, and obtain the following results:

    • For approximate-DP, we give a generic transformation of any item-level DP algorithm to a user-level DP algorithm. Roughly speaking, the latter gives a (multiplicative) savings of O_{ε,δ}(√m) in terms of the number of users required for achieving the same utility, where m is the number of examples per user. This algorithm, while recovering most known bounds for specific problems, also gives new bounds, e.g., for PAC learning.
    • For pure-DP, we present a simple technique for adapting the exponential mechanism [McSherry & Talwar, FOCS 2007] to the user-level setting. This gives new bounds for a variety of tasks, such as private PAC learning, hypothesis selection, and distribution learning. For some of these problems, we show that our bounds are near-optimal.