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Title: Examples of renormalization group transformations for image sets

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.

Authors:
 [1];  [2];  [3];  [4]
  1. Univ. of Iowa, Iowa City, IA (United States). Dept. of Physics and Astronomy; Argonne National Lab. (ANL), Argonne, IL (United States). Computational Sciences Division
  2. Rensselaer Polytechnic Inst., Troy, NY (United States). Dept. of Physics, Applied Physics and Astronomy
  3. Univ. of Iowa, Iowa City, IA (United States). Dept. of Physics and Astronomy
  4. Syracuse Univ., NY (United States). Dept. of Physics
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science - Graduate Student Research (SCGSR) Program; USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); USDOE Office of Science (SC), Workforce Development for Teachers and Scientists (WDTS) (SC-27)
OSTI Identifier:
1504259
Alternate Identifier(s):
OSTI ID: 1492146
Grant/Contract Number:  
AC02-06CH11357; SC0013496; SC0010113; SC0009998
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 98; Journal Issue: 5; Journal ID: ISSN 2470-0045
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Foreman, Samuel, Giedt, Joel, Meurice, Yannick, and Unmuth-Yockey, Judah. Examples of renormalization group transformations for image sets. United States: N. p., 2018. Web. doi:10.1103/PhysRevE.98.052129.
Foreman, Samuel, Giedt, Joel, Meurice, Yannick, & Unmuth-Yockey, Judah. Examples of renormalization group transformations for image sets. United States. doi:10.1103/PhysRevE.98.052129.
Foreman, Samuel, Giedt, Joel, Meurice, Yannick, and Unmuth-Yockey, Judah. Mon . "Examples of renormalization group transformations for image sets". United States. doi:10.1103/PhysRevE.98.052129. https://www.osti.gov/servlets/purl/1504259.
@article{osti_1504259,
title = {Examples of renormalization group transformations for image sets},
author = {Foreman, Samuel and Giedt, Joel and Meurice, Yannick and Unmuth-Yockey, Judah},
abstractNote = {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.},
doi = {10.1103/PhysRevE.98.052129},
journal = {Physical Review E},
number = 5,
volume = 98,
place = {United States},
year = {2018},
month = {11}
}

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