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A General Memory-Bounded Learning Algorithm

Machine Learning 2019-10-15 v2

Abstract

Designing bounded-memory algorithms is becoming increasingly important nowadays. Previous works studying bounded-memory algorithms focused on proving impossibility results, while the design of bounded-memory algorithms was left relatively unexplored. To remedy this situation, in this work we design a general bounded-memory learning algorithm, when the underlying distribution is known. The core idea of the algorithm is not to save the exact example received, but only a few important bits that give sufficient information. This algorithm applies to any hypothesis class that has an "anti-mixing" property. This paper complements previous works on unlearnability with bounded memory and provides a step towards a full characterization of bounded-memory learning.

Keywords

Cite

@article{arxiv.1712.03524,
  title  = {A General Memory-Bounded Learning Algorithm},
  author = {Michal Moshkovitz and Naftali Tishby},
  journal= {arXiv preprint arXiv:1712.03524},
  year   = {2019}
}