Explaining the Ubiquity of Phase Transitions in Decision Problems
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910798365851648 |
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| author | Jackson, Andrew |
| author_facet | Jackson, Andrew |
| contents | I present an analytic approach to establishing the presence of phase transitions in a large set of decision problems. This approach does not require extensive computational study of the problems considered. The set -- that of all paddable problems over even-sized alphabets satisfying a condition similar to not being sparse -- shown to exhibit phase transitions contains many "practical" decision problems, is very large, and also contains extremely intractable problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_14569 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Explaining the Ubiquity of Phase Transitions in Decision Problems Jackson, Andrew Computational Complexity I present an analytic approach to establishing the presence of phase transitions in a large set of decision problems. This approach does not require extensive computational study of the problems considered. The set -- that of all paddable problems over even-sized alphabets satisfying a condition similar to not being sparse -- shown to exhibit phase transitions contains many "practical" decision problems, is very large, and also contains extremely intractable problems. |
| title | Explaining the Ubiquity of Phase Transitions in Decision Problems |
| topic | Computational Complexity |
| url | https://arxiv.org/abs/2501.14569 |