Energy landscape analysis based on the Ising model: Tutorial review
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866908356792287232 |
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| author | Masuda, Naoki Islam, Saiful Aung, Si Thu Watanabe, Takamitsu |
| author_facet | Masuda, Naoki Islam, Saiful Aung, Si Thu Watanabe, Takamitsu |
| contents | We review a class of energy landscape analysis method that uses the Ising model and takes multivariate time series data as input. The method allows one to capture dynamics of the data as trajectories of a ball from one basin to a different basin to yet another, constrained on the energy landscape specified by the estimated Ising model. While this energy landscape analysis has mostly been applied to functional magnetic resonance imaging (fMRI) data from the brain for historical reasons, there are emerging applications outside fMRI data and neuroscience. To inform such applications in various research fields, this review paper provides a detailed tutorial on each step of the analysis, terminologies, concepts underlying the method, and validation, as well as recent developments of extended and related methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_16979 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Energy landscape analysis based on the Ising model: Tutorial review Masuda, Naoki Islam, Saiful Aung, Si Thu Watanabe, Takamitsu Disordered Systems and Neural Networks We review a class of energy landscape analysis method that uses the Ising model and takes multivariate time series data as input. The method allows one to capture dynamics of the data as trajectories of a ball from one basin to a different basin to yet another, constrained on the energy landscape specified by the estimated Ising model. While this energy landscape analysis has mostly been applied to functional magnetic resonance imaging (fMRI) data from the brain for historical reasons, there are emerging applications outside fMRI data and neuroscience. To inform such applications in various research fields, this review paper provides a detailed tutorial on each step of the analysis, terminologies, concepts underlying the method, and validation, as well as recent developments of extended and related methods. |
| title | Energy landscape analysis based on the Ising model: Tutorial review |
| topic | Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2411.16979 |