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Computational Mechanics: Pattern and Prediction, Structure and Simplicity
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“These can be abstract (e.g. Turing machines (Delahaye and Zenil, 2007, 2012), ϵ -machines (Shalizi and Crutchfield, 2001; G¨ ornerup and Crutchfield, 2008)), biological (ecosystems, organisms), economic, social or technological (Helbing, 2011).”
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Metadata
- Authors
- Shalizi, C. R., & Crutchfield, J. P.
- Affiliations
- Santa Fe Institute (US)
- Venue
- Journal of Statistical Physics
- Published
- 2001-08
- Volume
- 104
- Issue
- 3-4
- Pages
- 817-879
- ISSN
- 0022-4715 (ISSN-L)
- 1572-9613
- OpenAlex
- W1551871633
- Cited by
- 471
- References
- 152
- Citations by year
- 2026: 31 · 2025: 22 · 2024: 28 · 2023: 15 · 2022: 20 · 2021: 16 · 2020: 23 · 2019: 23 · 2018: 25 · 2017: 29 · 2016: 24 · 2015: 24 · 2014: 20 · 2013: 26 · 2012: 20
- FWCI
- 11.27
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Journal of Statistical Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (9970158)
- Santa Fe Institute
- Science Foundation Ireland
- Defense Advanced Research Projects Agency
- Office of Naval Research (N00014-95-1-0975)
- Topics
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Computability, Logic, AI Algorithms
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Cellular Automata and Applications
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Complex Systems and Dynamics
- Keywords
- computational mechanics, causal states, structural complexity, prediction, minimal representation, randomness measures, ergodic theory, information theory
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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