Work

Examples of renormalization group transformations for image sets

Year: 2018

Type: article

Abstract: Using the example of configurations generated with the worm algorithm for the two-dimensional Ising model, we propose renormalization group (RG) transformations, inspired by the tensor RG, that can be applied to sets of images. We relate criticality to the logarithmic divergence of the largest principal component. We discuss the changes in link occupation under the RG transformation, suggest ways to obtain data collapse, and compare with the two-state tensor RG approximation near the fixed point.

Source: Physical review. E

DOI: 10.1103/physreve.98.052129

Authors: Samuel Foreman, Joel Giedt, Yannick Meurice, Judah Unmuth-Yockey

Institutions: University of Iowa, Argonne National Laboratory

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green