Parameter estimation for cellular automata
Fuente:
arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866929670381895680 |
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| author | Kazarnikov, Alexey Ray, Nadja Haario, Heikki Lappalainen, Joona Rupp, Andreas |
| author_facet | Kazarnikov, Alexey Ray, Nadja Haario, Heikki Lappalainen, Joona Rupp, Andreas |
| contents | Self-organizing complex systems can be modeled using cellular automaton models. However, the parametrization of these models is crucial and significantly determines the resulting structural pattern. In this research, we introduce and successfully apply a sound statistical method to estimate these parameters. The decisive difference to earlier applications of such approaches is that, in our case, both the CA rules and the resulting patterns are discrete. The method is based on constructing Gaussian likelihoods using characteristics of the structures, such as the mean particle size. We show that our approach is robust for the method parameters, domain size of patterns, or CA iterations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_13320 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Parameter estimation for cellular automata Kazarnikov, Alexey Ray, Nadja Haario, Heikki Lappalainen, Joona Rupp, Andreas Cellular Automata and Lattice Gases Methodology Self-organizing complex systems can be modeled using cellular automaton models. However, the parametrization of these models is crucial and significantly determines the resulting structural pattern. In this research, we introduce and successfully apply a sound statistical method to estimate these parameters. The decisive difference to earlier applications of such approaches is that, in our case, both the CA rules and the resulting patterns are discrete. The method is based on constructing Gaussian likelihoods using characteristics of the structures, such as the mean particle size. We show that our approach is robust for the method parameters, domain size of patterns, or CA iterations. |
| title | Parameter estimation for cellular automata |
| topic | Cellular Automata and Lattice Gases Methodology |
| url | https://arxiv.org/abs/2301.13320 |