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RG-inspired machine learning for lattice field theory
Conference proceeding   Open access   Peer reviewed

RG-inspired machine learning for lattice field theory

Sam Foreman, Joel Giedt, Yannick Meurice and Judah Unmuth-Yockey
EPJ Web of Conferences, Vol.175, p.11025
01/01/2018
DOI: 10.1051/epjconf/201817511025
url
https://doi.org/10.1051/epjconf/201817511025View
Published (Version of record) Open Access

Abstract

Machine learning has been a fast growing field of research in several areas dealing with large datasets. We report recent attempts to use renormalization group (RG) ideas in the context of machine learning. We examine coarse graining procedures for perceptron models designed to identify the digits of the MNIST data. We discuss the correspondence between principal components analysis (PCA) and RG flows across the transition for worm configurations of the 2D Ising model. Preliminary results regarding the logarithmic divergence of the leading PCA eigenvalue were presented at the conference. More generally, we discuss the relationship between PCA and observables in Monte Carlo simulations and the possibility of reducing the number of learning parameters in supervised learning based on RG inspired hierarchical ansatzes.
Artificial intelligence Computer simulation Digits Divergence Field theory Granulation Ising model Machine learning Monte Carlo simulation Principal components analysis Two dimensional models

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