On Learning Parities with Dependent Noise

Autor: Golowich, Noah, Moitra, Ankur, Rohatgi, Dhruv
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: In this expository note we show that the learning parities with noise (LPN) assumption is robust to weak dependencies in the noise distribution of small batches of samples. This provides a partial converse to the linearization technique of [AG11]. The material in this note is drawn from a recent work by the authors [GMR24], where the robustness guarantee was a key component in a cryptographic separation between reinforcement learning and supervised learning.
Comment: This note draws heavily from arXiv:2404.03774
Databáze: arXiv