A PCA approach to sourlas code analysis

Masato Inoue, Koji Hukushima, Masato Okada

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The statistical mechanical approach is a powerful method for understanding large degrees of freedom problems, such as those related to the spin-glass model, but its application is usually limited to the class of mean-field models. We try a new general and computational approach - instead of an exact calculation of the Boltzmann distribution, we use an empirical spin state distribution obtained through simulation and extract potentially useful axes by principal component analysis (PCA). We adopted a three-body Sourlas code to evaluate this PCA approach compared with existing replica theory. The empirical spin distribution projected to these PCA axes showed distinctive patterns corresponding to the phase given by the replica method. Moreover, the first principal component roughly coincided with one of the order parameters (averaged spin) under a certain condition. These results suggest that this PCA approach could be effective even in more complicated systems that we cannot investigate analytically.

Original languageEnglish
Pages (from-to)246-249
Number of pages4
JournalProgress of Theoretical Physics Supplement
Volume157
Publication statusPublished - 2005
Externally publishedYes

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principal components analysis
replicas
Boltzmann distribution
spin glass
degrees of freedom
simulation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

A PCA approach to sourlas code analysis. / Inoue, Masato; Hukushima, Koji; Okada, Masato.

In: Progress of Theoretical Physics Supplement, Vol. 157, 2005, p. 246-249.

Research output: Contribution to journalArticle

Inoue, M, Hukushima, K & Okada, M 2005, 'A PCA approach to sourlas code analysis', Progress of Theoretical Physics Supplement, vol. 157, pp. 246-249.
Inoue, Masato ; Hukushima, Koji ; Okada, Masato. / A PCA approach to sourlas code analysis. In: Progress of Theoretical Physics Supplement. 2005 ; Vol. 157. pp. 246-249.
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