Dynamical scaling method improved by a deep learning approach
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866914568452702208 |
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| author | Terasawa, Yusuke Ozeki, Yukiyasu |
| author_facet | Terasawa, Yusuke Ozeki, Yukiyasu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_06008 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Dynamical scaling method improved by a deep learning approach Terasawa, Yusuke Ozeki, Yukiyasu Statistical Mechanics 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. |
| title | Dynamical scaling method improved by a deep learning approach |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2603.06008 |