4.5 Article

Private and Online Learnability Are Equivalent

期刊

JOURNAL OF THE ACM
卷 69, 期 4, 页码 -

出版社

ASSOC COMPUTING MACHINERY
DOI: 10.1145/3526074

关键词

Differential privacy; PAC learning; online learning; Littlestone dimension

资金

  1. NSF [DMS-1855464, CCF-1947889]
  2. BSF [2018267, 2018385]
  3. CAREER award [CNS-2046425]
  4. ISF [2188/20, 1225/20]
  5. Tel Aviv University Center for AI and Data Science (TAD)
  6. Google
  7. NSF CAREER award [1553653]
  8. Minerva Research Foundation membership at IAS
  9. Azrieli Foundation
  10. initiative of AI and DS for social good
  11. Direct For Mathematical & Physical Scien
  12. Division Of Mathematical Sciences [1553653] Funding Source: National Science Foundation

向作者/读者索取更多资源

H, a binary-labeled concept class, can be PAC learned by an (approximate) differentially private algorithm if and only if it has a finite Littlestone dimension, showing a qualitative equivalence between online learnability and private PAC learnability.
Let H be a binary-labeled concept class. We prove that H can be PAC learned by an (approximate) differentially private algorithm if and only if it has a finite Littlestone dimension. This implies a qualitative equivalence between online learnability and private PAC learnability.

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