mutual information, neural networks and the renormalization group

∙ 0 ∙ share We present a variational renormalization group approach using deep generative model composed of bijectors. Conversely, the neural network Here we introduce the neural network renormalization group as a universal approach to design generic EHM for interacting field theories. Given a field theory action, we train a flow-based hierarchical deep generative neural network to reproduce the boundary field ensemble from uncorrelated bulk field fluctuations. [1704.06279] Mutual Information, Neural Networks and the Renormalization Group Abstract: Physical systems differring in their microscopic details often display strikingly similar behaviour when probed at macroscopic scales. Title: Mutual Information, Neural Networks and the Renormalization Group. Mutual information, neural networks and the renormalization group. We present a variational renormalization group (RG) approach based on a reversible generative model with hierarchical architecture. The model performs hierarchical change-of-variables transformations from the physical space to a latent space with reduced mutual information. Physical systems differing in their microscopic details often display strikingly similar behaviour when probed at macroscopic scales. Neural Network Renormalization Group. Tip: you can also follow us on Twitter We demonstrate RG flow and extract the Ising critical exponent. Browse our catalogue of tasks and access state-of-the-art solutions. We apply the algorithm to classical statistical physics problems in one and two dimensions. Title: Mutual Information, Neural Networks and the Renormalization Group. Get the latest machine learning methods with code. Mutual Information, Neural Networks and the Renormalization Group Item Preview The model can learn hierarchical transformations between physical variables and renormalized collective variables. We introduce an artificial neural network based on a model-independent, information-theoretic characterization of a real-space RG procedure, which performs this task. Authors: Maciej Koch-Janusz, Zohar Ringel (Submitted on 20 Apr 2017 (this version), latest version 24 Sep 2018 ) Abstract: Physical systems differing in their microscopic details often display strikingly similar behaviour when probed at low energies. 02/08/2018 ∙ by Shuo-Hui Li, et al. Authors: Maciej Koch-Janusz, Zohar Ringel (Submitted on 20 Apr 2017 , last revised 24 Sep 2018 (this version, v2)) Abstract: Physical systems differring in their microscopic details often display strikingly similar behaviour when probed at macroscopic scales.

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