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Privacy limits learnability for some distribution classes

Researchers have demonstrated that not all classes of distributions that can be learned with a finite number of samples are learnable under differential privacy constraints. Specifically, a class of distributions was identified that is learnable to a constant error in total variation distance but not privately learnable to the same error bound. This finding challenges a previous conjecture in the field of privacy-preserving machine learning. AI

Summary written by gemini-2.5-flash-lite from 1 source. How we write summaries →

IMPACT Challenges assumptions about the learnability of data distributions under privacy constraints, potentially impacting the design of privacy-preserving ML systems.

RANK_REASON The cluster contains an academic paper detailing a theoretical finding in machine learning and privacy. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv stat.ML →

COVERAGE [1]

  1. arXiv stat.ML TIER_1 · Mark Bun, Gautam Kamath, Argyris Mouzakis, Vikrant Singhal ·

    Not All Learnable Distribution Classes are Privately Learnable

    arXiv:2402.00267v4 Announce Type: replace-cross Abstract: We give an example of a class of distributions that is learnable up to constant error in total variation distance with a finite number of samples, but not learnable under $(\varepsilon, \delta)$-differential privacy with t…