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MODEL THEORY AND MACHINE LEARNING

Published online by Cambridge University Press:  15 February 2019

HUNTER CHASE  and
JAMES FREITAG
HUNTER CHASE
Affiliation:
DEPARTMENT OF MATHEMATICS UIC, CHICAGO IL, USA E-mail: hchase2@uic.eduE-mail: freitagj@gmail.com
JAMES FREITAG
Affiliation:
DEPARTMENT OF MATHEMATICS UIC, CHICAGO IL, USA E-mail: hchase2@uic.eduE-mail: freitagj@gmail.com
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Abstract

About 25 years ago, it came to light that a single combinatorial property determines both an important dividing line in model theory (NIP) and machine learning (PAC-learnability). The following years saw a fruitful exchange of ideas between PAC-learning and the model theory of NIP structures. In this article, we point out a new and similar connection between model theory and machine learning, this time developing a correspondence between stability and learnability in various settings of online learning. In particular, this gives many new examples of mathematically interesting classes which are learnable in the online setting.

Keywords

03C9897P20model theorymachine learning
Type
Articles
Information
Bulletin of Symbolic Logic , Volume 25 , Issue 3 , September 2019 , pp. 319 - 332
Copyright
Copyright © The Association for Symbolic Logic 2019 

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