English

Dynamical scaling method improved by a deep learning approach

Statistical Mechanics 2026-05-18 v2

Abstract

We propose a dynamical scaling analysis improved by a deep learning approach. While Gaussian process regression has been widely employed for estimating scaling parameters, its computational cost for parameter optimization becomes a limitation in dynamical scaling analysis, where large datasets are involved. In contrast, the present method employs a neural network, which significantly reduces the computational cost and enables the use of the entire dataset that was inaccessible with Gaussian process regression. We applied the method to the 2D Ising model and the 2D 3-state Potts model, achieving higher accuracy and computational efficiency than conventional approaches.

Keywords

Cite

@article{arxiv.2603.06008,
  title  = {Dynamical scaling method improved by a deep learning approach},
  author = {Yusuke Terasawa and Yukiyasu Ozeki},
  journal= {arXiv preprint arXiv:2603.06008},
  year   = {2026}
}
R2 v1 2026-07-01T11:06:21.728Z