Statistical thermodynamics of natural images

Stephens, Greg J and Mora, Thierry and Tkačik, Gašper and Bialek, William (2013) Statistical thermodynamics of natural images. Physical Review Letters, 110 (1-4). Article No. 018701. ISSN 0031-9007

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Abstract

The scale invariance of natural images suggests an analogy to the statistical mechanics of physical systems at a critical point. Here we examine the distribution of pixels in small image patches and show how to construct the corresponding thermodynamics. We find evidence for criticality in a diverging specific heat, which corresponds to large fluctuations in how "surprising" we find individual images, and in the quantitative form of the entropy vs energy. We identify special image configurations as local energy minima and show that average patches within each basin are interpretable as lines and edges in all orientations.

Item Type: Article
DOI: 10.1103/PhysRevLett.110.018701
Uncontrolled Keywords: QUANTUM THEORY, Thermodynamics, statistical mechanics, Critical points, Image patches, Local energy minima, Natural images, Physical systems, Scale invariance
Subjects: 500 Science > 570 Life sciences; biology
Research Group: Tkacik Group
SWORD Depositor: Sword Import User
Depositing User: Sword Import User
Date Deposited: 05 Jan 2016 08:27
Last Modified: 05 Sep 2017 14:38
URI: https://repository.ist.ac.at/id/eprint/401

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