The Poincaré-Shannon Machine: Statistical Physics and Machine Learning Aspects of Information Cohomology

The Poincaré-Shannon Machine: Statistical Physics and Machine Learning Aspects of Information Cohomology

Previous works established that entropy is characterized uniquely as the first cohomology class in a topos and described some of its applications to the unsupervised classification of gene expression modules or cell types. These studies raised important questions regarding the statistical meaning of...

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Bibliographic Details
Main Author: Pierre Baudot
Format: Article
Language:English
Published: MDPI AG 2019-09-01
Series:Entropy
Subjects:
algebraic topology
machine learning
information theory
statistical physics
deep neural networks
unsupervised learning
multivariate mutual information
statistical dependences
k-body interactions
synergy
clustering
Online Access:https://www.mdpi.com/1099-4300/21/9/881

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https://www.mdpi.com/1099-4300/21/9/881

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