Information Dynamics Collection

• A. M. Jurgens and N. Brodu, “Inferring Kernel ε-Machines: Discovering Structure in Complex Systems”, arxiv.org:2410.01076.
  [Abstract] [pdf]
  arxiv.org:2410.01076. doi:.
• A. T. Rupe and J. P. Crutchfield, “On Principles of Emergent Organization”, Physics Reports 1071 (2024) 1-47.
  [Abstract] [pdf]
  arxiv.org:2311.13749. doi:10.1016/j.physrep.2024.04.001. [Podcast]
  
• A. Rupe and J. P. Crutchfield, “Physics-Informed Representation Learning for Emergent Organization in Complex Dynamical Systems” (2023).
  [Abstract] [pdf]
  arxiv.org:2304.12586. doi:.
• S. E. Marzen, P. M. Riechers, and J. P. Crutchfield, “Complexity-calibrated Benchmarks for Machine Learning Reveal When Next-Generation Reservoir Computer Predictions Succeed and Mislead” Scientific Reports 14 (2024) 8727.
  [Abstract] [pdf]
  arxiv.org:2303.14553. doi:10.1038/s41598-024-58814-0.
• A. Rupe and J. P. Crutchfield, “Algebraic Theory of Patterns as Generalized Symmetries”, Symmetry 14:8 (2022) 1636.
  [Abstract] [pdf]
  arxiv.org:2206.15050 [cond-mat.stat-mech]. doi:10.3390/sym14081636.
• S. P. Loomis and J. P. Crutchfield, “Exploring Predictive States via Cantor Embeddings and Wasserstein Distance”, Chaos 32:12 (2022) 123115.
  [Abstract] [pdf]
  2206.04198 [cond-mat.stat-mech]. doi:10.1063/5.0102603.
• A. Rupe and V. V. Vesselinov and J. P. Crutchfield, “Nonequilibrium Statistical Mechanics and Optimal Prediction of Partially-Observed Complex Systems”, New Journal of Physics 24 (2022) 103033.
  [Abstract] [pdf]
  arxiv.org:2203.16048 [cond-mat.stat-mech]. doi:10.1088/1367-2630/ac95b7.
• S. P. Loomis and J. P. Crutchfield, “Topology, Convergence, and Reconstruction of Predictive States”, Physica D 445 (2023) 133621.
  [Abstract] [pdf]
  2109.09203 [cond-mat.stat-mech]. doi:10.1016/j.physd.2022.133621.
• A. M Jurgens and J. P. Crutchfield, “Ambiguity Rate of Hidden Markov Processes”, Physical Review E 104 (2021) 064107.
  [Abstract] [pdf]
  2105.07294 [cond-mat.stat-mech]. doi:10.1103/PhysRevE.104.064107.
• A. M Jurgens and J. P. Crutchfield, “Divergent Predictive States: The Statistical Complexity Dimension of Stationary, Ergodic Hidden Markov Processes”, Chaos 31:8 (2021) 0050460.
  [Abstract] [pdf]
  arxiv.org:2102.10487 [cond-mat.stat-mech]. doi:10.1063/5.0050460.
• Sulimon Sattari, Udoy S. Basak, James P. Crutchfield, and Tamiki Komatsuzaki, “Modes of Information Flow in Collective Cohesion”, Science Advances 8:6 (2021) 1-13.
  [Abstract] [pdf]
  arxiv.org:2012.00293 [cond-mat.stat-mech]. doi:10.1126/sciadv.abj1720.
• N. Brodu and J. P. Crutchfield, “Discovering Causal Structure with Reproducing-Kernel Hilbert Space ε-Machines”, Chaos 32 (2022) 023103.
  [Abstract] [pdf]
  arxiv.org:2011.14821 [cond-mat.stat-mech]. doi:10.1063/5.0062829.
• A. M. Jurgens and J. P. Crutchfield, “Shannon Entropy Rate of Hidden Markov Processes”, Journal of Statistical Physics 183:32 (2020) 1-18.
  [Abstract] [pdf]
  arxiv.org:2008.12886 [cond-mat.stat-mech]. doi:10.1007/s10955-021-02769-3.
• A. Rupe and J. P. Crutchfield, “Spacetime Autoencoders Using Local Causal States”, AAAI (2020).
  [Abstract] [pdf]
  arxiv.org:2010.05451 [non-lin.adap-org]. doi:.
• S. E. Marzen and J. P. Crutchfield, “Inference, Prediction, and Entropy-Rate Estimation of Continuous-time, Discrete-event Processes”, Entropy 24 (2022) 1675.
  [Abstract] [pdf]
  arxiv.org:2005.03750 [cond-mat.stat-mech]. doi:10.3390/e24111675.
• S. E. Marzen and J. P. Crutchfield, “Probabilistic Deterministic Finite Automata and Recurrent Networks, Revisited”, Entropy 24:1 (2022) 90. (2019).
  [Abstract] [pdf]
  arxiv.org:1910.07663 [cs.LG]. doi:10.3390/e24010090.
• A. Rupe, N. Kumar, V. Epifanov, K. Kashinath, O. Pavlyk, F. Schimbach, M. Patwary, S. Maidanov, V. Lee, Prabhat, and J. P. Crutchfield, “DisCo: Physics-Based Unsupervised Discovery of Coherent Structures in Spatiotemporal Systems”, MLHPC (2019).
  [Abstract] [pdf]
  arxiv.org: 1909.11822 [physics.comp-ph]. doi:.
• P. M. Riechers and J. P. Crutchfield, “Fraudulent White Noise: Flat power spectra belie arbitrarily complex processes”, Physical Review Research 3:1 (2021) 013170.
  [Abstract] [pdf]
  arxiv.org:1908.11405 [nlin.CD]. doi: 10.1103/PhysRevResearch.3.013170.
• A. Rupe and J. P. Crutchfield, “Spacetime Symmetries, Invariant Sets, and Additive Subdynamics of Cellular Automata”, (2018).
  [Abstract] [pdf]
  arxiv.org:1812.11597. doi:.
• R. G. James, J. Emenheiser, and J. P. Crutchfield, “Unique Information and Secret Key Agreement”, Entropy 21 (2019) 1-12.
  [Abstract] [pdf]
  arXiv.org:1811.01745. doi: 10.3390/e21010012.
• R. G. James, J. Emenheiser, and J. P. Crutchfield, “A Perspective on Unique Information: Directionality, Intuitions, and Secret Key Agreement”, (2018).
  [Abstract] [pdf]
  arXiv.org:1808.08606. doi: .
• Ryan G. James, Christopher J. Ellison, and James P. Crutchfield, “dit: a Python package for discrete information theory”, The Journal of Open Source Software 3:25 (2018) 738.
  [Abstract] [pdf]
  doi: 10.21105/joss.00738.
• Ryan G. James, Blanca Daniella Mansante Ayala, Bahti Zakirov, and James P. Crutchfield, “Modes of Information Flow”, (2018).
  [Abstract] [pdf]
  arXiv.org:1808.06723. doi: XXXX.
• J. P. Crutchfield, “The Origins of Computational Mechanics: A Brief Intellectual History and Several Clarifications”, (2017).
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 2017-10-23. arxiv.org:1710.06832 [cond-mat.stat-mech].
• R. G. James, J. Emenhesier, and J. P. Crutchfield, “Unique Information via Dependency Constraints”, Journal of Physics A 52 (2019) 014002.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 2017-09-034. arxiv.org:1709.06653 [cond-mat.stat-mech]. doi:10.1088/1751-8121/aaed53.
• A. Rupe, J. P. Crutchfield, K. Kashinath, and Prabhat, “A Physics-Based Approach to Unsupervised Discovery of Coherent Structures in Spatiotemporal Systems”, Lyubchich, V., N. C. Oza, A. Rhines, and E. Szekely, eds., Proceedings of the 7th International Workshop on Climate Informatics: CI 2017. NCAR Technical Note NCAR/TN-536+PROC.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 2017-09-033. arxiv.org:1709.03184 [physics.flu-dyn]. doi:10.5065/D6222SH7.
• A. Rupe and J. P. Crutchfield, “Local Causal States and Discrete Coherent Structures”, Chaos 28:7 (2018) 1-22.
  [Abstract] [pdf]
  arxiv.org:1801.00515 [cond-mat.stat-mech]. doi:10.1063/1.5021130.
• J. Ruebeck, R. G. James, J. R. Mahoney, and J. P. Crutchfield, “Prediction and Generation of Binary Markov Processes: Can a Finite-State Fox Catch a Markov Mouse?”, CHAOS 28 (2018) 013109.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 2017-08-027. arxiv.org:1708.00113 [cond-mat.stat-mech]. doi:10.1063/1.5003041.
• P. M. Riechers and J. P. Crutchfield, “Spectral Simplicity of Apparent Complexity, Part II: Exact Complexities and Complexity Spectra”, Chaos 28 (2018) 033116.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 2017-06-019. arxiv.org:1706.00883 [nlin.CD]. doi:10.1063/1.4986248.
• P. M. Riechers and J. P. Crutchfield, “Spectral Simplicity of Apparent Complexity, Part I: The Nondiagonalizable Metadynamics of Prediction”, Chaos 28 (2018) 033115.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 2017-05-018. arxiv.org:1705.08042 [cond-mat.stat-mech]. doi:10.1063/1.4985199.
• S. E. Marzen and J. P. Crutchfield, “Structure and Randomness of Continuous-Time Discrete-Event Processes”, Journal of Statistical Physics 169:2 (2017) 303-315.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 2017-04-009. arxiv.org:1704.04707 [cond-mat.stat-mech]. doi:10.1007/s10955-017-1859-y.
• S. E. Marzen and J. P. Crutchfield, “Nearly Maximally Predictive Features and Their Dimensions”, Phys. Rev. E (Rapid Communication) 95:5 (2017) 051301(R).
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 2017-02-007. arxiv.org:1702.08565 [cond-mat.stat-mech].
• R. G. James, J. R. Mahoney, and J. P. Crutchfield, “Information Trimming: Sufficient Statistics, Mutual Information, and Predictability from Effective Channel States”, Physical Review E 95:6 (2017) 060102(R).
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 2017-03-008. arxiv.org:1702.01831 [cond-mat.stat-mech]. doi:10.1103/PhysRevE.95.060102.
• S. E. Marzen and J. P. Crutchfield, “Informational and Causal Architecture of Continuous-Time Renewal Processes”, Journal of Statistical Physics 168:1 (2017) 109-127.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 2016-11-024. arxiv.org:1611.01099 [cond-mat.stat-mech]. Online. 10.1007/s10955-017-1793-z.
• R. G. James and J. P. Crutchfield, “Multivariate Dependence Beyond Shannon Information”, Entropy 19 (2017) 531.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 2016-09-017. arxiv.org:1609.01233 [math.IT]. doi:10.3390/e19100531.
• P. M. Riechers and J. P. Crutchfield, “Beyond the Spectral Theorem: Spectrally Decomposing Arbitrary Functions of Nondiagonalizable Operators”, AIP Advances 8 (2018) 065305.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 2016-07-015. arxiv.org:1607.06526 [math-ph]. doi:10.1063/1.5040705.
R. G. James, N. Barnett, and J. P. Crutchfield, “Information Flows? A Critique of Transfer Entropies”, Physical Review Letters 116 (2016) 238701.
[Abstract] [pdf]
Santa Fe Institute Working Paper 16-01-001. arxiv.org:1512.06479 [cond-mat.stat-mech].
• S. E. Marzen and J. P. Crutchfield, “Statistical Signatures of Structural Organization: The case of long memory in renewal processes”, Physics Letters A 380:17 (2016) 1517-1525.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 15-12-046. arxiv.org:1512.01859 [cond-mat.stat-mech].
• P. M. Ara, R. G. James, and J. P. Crutchfield, “The Elusive Present: Hidden Past and Future Dependency and Why We Build Models”, Physical Review E 93:2 (2016) 022143.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 15-07-024. arxiv.org:1507.00672 [cond-mat.stat-mech].
• J. P. Crutchfield and S. Marzen, “Signatures of Infinity: Nonergodicity and Resource Scaling in Prediction, Complexity, and Learning”, Physical Review E 91 (2015) 050106(R).
  [Abstract] [pdf] PRE Editor's Suggestion
  Santa Fe Institute Working Paper 15-04-010. arxiv.org:1504.00386 [cond-mat.stat-mech].
• S. Marzen and J. P. Crutchfield, “Predictive Rate-Distortion for Infinite-Order Markov Processes”, Journal of Statistical Physics 163:6 (2016) 1312-1338.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 14-12-047. arxiv.org:1412.2859 [cond-mat.stat-mech].
• N. Barnett and J. P. Crutchfield, “Computational Mechanics of Input-Output Processes: Structured transformations and the ε-transducer”, Journal of Statistical Physics 161:2 (2015) 404-451.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 14-12-046. arxiv.org:1412.2690 [cond-mat.stat-mech].
• S. Marzen and J. P. Crutchfield, “Informational and Causal Architecture of Discrete-Time Renewal Processes”, Entropy 17:7 (2015) 4891-4917.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 14-08-032. arxiv.org:1408.6876 [cond-mat.stat-mech].
• S. Marzen and J. P. Crutchfield, “Information Anatomy of Stochastic Equilibria”, Entropy 16 (2014) 4713-4748.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 14-04-005. arXiv:1403.3864 [cond-mat].
• V. Griffith, E. K. P. Chong, R. G. James, C. J. Ellison, and J. P. Crutchfield, “Intersection Information based on Common Randomness”, Entropy 16 (2014) 1985-2000.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 13-10-031. arXiv:1310.1538 [cs.IT].
• R. G. James, K. Burke, and J. P. Crutchfield, “Chaos Forgets and Remembers: Measuring Information Creation, Destruction, and Storage”, Physics Letters A 378 (2014) 2124-2127.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 13-10-030. arXiv:1309.5504 [nlin.CD].
• J. P. Crutchfield, C. J. Ellison, and P. M. Riechers, “Exact Complexity: The Spectral Decomposition of Intrinsic Computation”, Physics Letters A 380 (2016) 998-1002.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 13-09-028. arXiv:1309.3792 [cond-mat.stat-mech].
• C. C. Strelioff and J. P. Crutchfield, “Bayesian Structural Inference for Hidden Processes”, Physical Review E 89 (2014) 042119.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 13-09-027. arXiv:1309.1392 [stat.ML].
• J. P. Crutchfield, “Between Order and Chaos”, Nature Physics 8 (January 2012) 17-24.
  [Abstract] Abstract at Nature Physics Addendum Corrected version
  
• N. F. Travers and J. P. Crutchfield, “Equivalence of History and Generator ε-Machines”, submitted (2011).
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 11-11-051. arXiv:1111.4500 [math.PR].
• N. F. Travers and J. P. Crutchfield, “Infinite Excess Entropy Processes with Countable-State Generators”, Entropy 16 (2014) 1396-1413.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 11-11-052. arXiv:1111.3393 [math.PR].
• J. P. Crutchfield and J. Machta, `Toward a Physics of Pattern—Focus Issue on “Randomness, Structure, and Causality: Measures of Complexity from Theory to Applications”', CHAOS 21:3 (2011) 037101.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 11-08-XXX. arXiv:1108.XXXX [cond-mat.stat-mech].
• J. R. Mahoney, C. J. Ellison, R. G. James, and J. P. Crutchfield, "How Hidden are Hidden Processes? A Primer on Crypticity and Entropy Convergence", CHAOS 21:3 (2011) 037112.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 11-08-029. arXiv:1108.1510 [cond-mat.stat-mech].
• C. J. Ellison, J. R. Mahoney, R. G. James, J. P. Crutchfield, and Joerg Reichardt, "Information Symmetries in Irreversible Processes", CHAOS 21:3 (2011) 037107.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 11-07-028. arXiv:1107.2168 [cond-mat.stat-mech].
• R. G. James, C. J. Ellison, and J. P. Crutchfield, "Anatomy of a Bit: Information in a Time Series Measurement", CHAOS 21 (2011) 037109.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 11-05-019. arXiv:1105.2988 [math.IT].
• J. P. Crutchfield and C. J. Ellison, "The Past and the Future in the Present", (2010) submitted.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 10-12-034. arXiv:1012.0356 [nlin.CD].
• J. P. Crutchfield, "The Dreams of Theory", (23 June 2009). Wiley Reviews (WIREs) in Computational Statistics 6 (March/April 2014) 75-79. doi: 10.10002/wics.1290.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 10-11-033.
• N. F. Travers and J. P. Crutchfield, "Asymptotic Synchronization for Finite-State Sources", J. Stat. Phys. 145:5 (2011) 1202-1223.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 10-11-029. arXiv:1011.1581 [nlin.CD].
• B. D. Johnson, J. P. Crutchfield, C. J. Ellison, and C. S. McTague, "Enumerating Finitary Processes", Entropy 26 (2024) 1105.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 10-11-027. arXiv:1011.0036 [cs.FL]. doi:10.3390/e26121105.
• R. G. James, J. R. Mahoney, C. J. Ellison, and J. P. Crutchfield, "Many Roads to Synchrony: Natural Time Scales and Their Algorithms", Physical Review E 89 (2014) 042135.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 10-11-025. arXiv:1010.5545 [nlin.CD].
• J. P. Crutchfield, W. Ditto, and S. Sinha, "Beyond the Digital Hegemony—Intrinsic and Designed Computation: Information Processing in Dynamical Systems", CHAOS 20:3 (2010) 037101.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 10-11-024.
  AIP CHAOS Special Issue.
• N. F. Travers and J. P. Crutchfield, "Exact Synchronization for Finite-State Sources", J. Stat. Phys. 145:5 (2011) 1181-1201.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 10-11-031. arXiv:1008.4182 [nlin.CD].
• J. P. Crutchfield, Christopher J. Ellison, Ryan G. James, and John R. Mahoney, "Synchronization and Control in Intrinsic and Designed Computation: An Information-Theoretic Analysis of Competing Models of Stochastic Computation", CHAOS 20:3 (2010) 037105.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 10-08-015. arXiv:1007.5354 [cond-mat.stat-mech].
• J. R. Mahoney, C. J. Ellison, J. P. Crutchfield, "Information Accessibility and Cryptic Processes: Linear Combinations of Causal States", (2009).
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 09-06-019. arXiv:0906.5099 [cond-mat].
• J. R. Mahoney, C. J. Ellison, J. P. Crutchfield, "Information Accessibility and Cryptic Processes", Journal of Physics A: Math. Theo. 42 (2009) 362002.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 09-05-018. arXiv:0905.4787 [cond-mat].
• C. J. Ellison, J. R. Mahoney, J. P. Crutchfield, "Prediction, Retrodiction, and The Amount of Information Stored in the Present", Journal of Statistical Physics 136:6 (2009) 1005-1034.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 09-05-017. arXiv:0905.3587 [cond-mat].
• J. P. Crutchfield, C. J. Ellison, J. R. Mahoney, "Time's Barbed Arrow: Irreversibility, Crypticity, and Stored Information", Physical Review Letters 103:9 (2009) 094101.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 09-02-002; arXiv:0902.1209 [cond-mat]; Physical Review Letters; DOI: 10.1103/PhysRevLett.103.094101.
• David P. Feldman, Carl S. McTague, and J. P. Crutchfield, "The Organization of Intrinsic Computation: Complexity-Entropy Diagrams and the Diversity of Natural Information Processing", CHAOS 18:4 (2008) 53-73.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 08-07-028. arXiv:0806.4789 [nlin.CD].
• C. C. Strelioff and J. P. Crutchfield, "Optimal Instruments and Models for Noisy Chaos", CHAOS 17 (2007) 043127.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 06-11-042. arxiv.org e-print cs.LG/0611054.
• S. Still, J. P. Crutchfield, and C. J. Ellison, "Optimal Causal Inference: Estimating Stored Information and Approximating Causal Architecture", CHAOS 20:3 (2010) 037111.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 07-08-024. arxiv.org e-print 0708.1580 [cs.IT].
• Susanne Still and J. P. Crutchfield, "Structure or Noise?", Physics Letters A (2008) submitted.
  [Abstract] [pdf]
  Santa Fe Institute Working Paper 07-08-020. arxiv.org e-print physics.gen-ph/0708.0654.
C. C. Strelioff, J. P. Crutchfield, and A. Hubler, "Inferring Markov Chains: Bayesian Estimation, Model Comparison, Entropy Rate, and Out-of-class Modeling", Physical Review E 76:1 (2007) 011106.
[Abstract] [pdf]
Santa Fe Institute Working Paper 07-04-005. arxiv.org e-print math.ST/0703715.
C. C. Strelioff and J. P. Crutchfield, "How Random Is a Coin Toss? Bayesian Inference and the Symbolic Dynamcs of Deterministic Chaos", Conference on Neural Information Processing, Workshop on Dynamical Systems, Stochastic Processes and Bayesian Inference (2006) Online Proceedings.
[Abstract] [pdf]
Santa Fe Institute Working Paper 06-11-042. arxiv.org e-print cs.LG/0611054.
Carl S. McTague and J. P. Crutchfield, "Automated Pattern Detection---An Algorithm for Constructing Optimally Synchronizing Multi-Regular Language Filters", Theoretical Computer Science 359 (2006) 306-328.
[Abstract] [ps.gz] [ps] [pdf]
Santa Fe Institute Working Paper 04-09-027. arxiv.org e-print cs.CV/0410017.
Nihat Ay and J. P. Crutchfield, "Reductions of Hidden Information Sources", Journal of Statistical Physics 210:3-4 (2005) 659-684.
[Abstract] [ps.gz] [ps] [pdf]
Santa Fe Institute Working Paper 04-06-011. arxiv.org/abs/math.PR/0405425.
Cosma Rohilla Shalizi, Kristina Lisa Shalizi, and J. P. Crutchfield, "Pattern Discovery in Time Series, Part I: Theory, Algorithm, Analysis, and Convergence", Journal of Machine Learning Research (2002), in preparation.
[Abstract] [ps.gz] [ps] [pdf]
Santa Fe Insitute Working Paper 02-10-060. arXiv.org/abs/cs.LG/0210025.
D. P. Feldman and J. P. Crutchfield, "Synchronizing to Periodicity: The Transient Information and Synchronization Times of Periodic Sequences", Advances in Complex Systems 7:3-4 (2004) 329-355.
[Abstract] [ps.gz] [ps] [pdf]
Santa Fe Insitute Working Paper 02-08-043. arXiv.org/abs/nlin.AO/0208040.
J. P. Crutchfield and D. P. Feldman, "Synchronizing to the Environment: Information Theoretic Constraints on Agent Learning", Advances in Complex Systems 4:2 (2001) 251-264.
[Abstract] [ps.gz] [ps] [pdf]
Santa Fe Insitute Working Paper 01-03-020. arXiv.org/abs/nlin.AO/0103038.
J. P. Crutchfield and D. P. Feldman, "Regularities Unseen, Randomness Observed: Levels of Entropy Convergence", CHAOS 13:1 (2003) 25-54.
[Abstract] [ps.gz] [ps] [pdf] Addenda [pdf]
Santa Fe Insitute Working Paper 01-02-012. arXiv.org/abs/cond-mat/0102181.
C. R. Shalizi and J. P. Crutchfield, "Information Bottlenecks, Causal States, and Statistical Relevance Bases: How to Represent Relevant Information in Memoryless Transduction", Advances in Complex Systems 5 (2002): 1-5.
[Abstract] [ps.gz] [ps] [pdf]
Santa Fe Insitute Working Paper 00-07-035. arXiv.org/abs/nlin.AO/0006025.
C. R. Shalizi and J. P. Crutchfield, "Pattern Discovery and Computational Mechanics".
[Abstract] [ps.gz] [ps] [pdf]
Santa Fe Insitute Working Paper 00-01-008. arXiv.org/abs/cs.LG/0001027.
C. R. Shalizi and J. P. Crutchfield, "Computational Mechanics: Pattern and Prediction, Structure and Simplicity", Journal of Statistical Physics 104 (2001) 819--881.
[Abstract] [ps.gz] [ps] [pdf]
Santa Fe Insitute Working Paper 99-07-044. arXiv.org/abs/cond-mat/9907176.
J. P. Crutchfield, D. P. Feldman, and C. R. Shalizi, 'Comment on "Simple Measure for Complexity"', Physical Review E 62 (2000) 2996-2997.
[Abstract] [ps] [pdf]
Santa Fe Insitute Working Paper 99-06-040.
J. P. Crutchfield and C. R. Shalizi, "Thermodynamic Depth of Causal States: Objective Complexity via Minimal Representations", Physical Review E 59 (1999) 275-283.
[Abstract] [ps.gz] [ps] [pdf]
Santa Fe Insitute Working Paper 98-06-047.
J. P. Crutchfield, "Dynamical Embodiments of Computation in Cognitive Processes", Behavioral and Brain Sciences 21:5 (1998) 635-637.
[Abstract] [ps.gz] [ps] [pdf]
Santa Fe Institute Working Paper 98-02-016.
D. P. Feldman and J. P. Crutchfield, "Measures of Statistical Complexity: Why?", Physics Letters A 238 (1998) 244-252.
[Abstract] [ps.gz] [ps] [pdf]
J. P. Crutchfield, "Is Anything Ever New? Considering Emergence", in Complexity: Metaphors, Models, and Reality, G. Cowan, D. Pines, and D. Melzner, editors, SFI Series in the Sciences of Complexity XIX, Addison-Wesley, Redwood City (1994) 479-497.
[Abstract] [ps.gz] [ps] [pdf]
Santa Fe Institute Working Paper 94-03-011.
J. P. Crutchfield, "The Calculi of Emergence: Computation, Dynamics, and Induction", Physica D 75 (1994) 11-54.
[Abstract] [ps.gz] [ps] [pdf]
Santa Fe Institute Working Paper 94-03-016.
J. P. Crutchfield, "Critical Computation, Phase Transitions, and, Hierarchical Learning" in Towards the Harnessing of Chaos, Proceedings of the 7th Toyota Conference, M. Yamaguti, editor, Elsevier Science, Amsterdam (1994) in press.
[Abstract] [ps] [pdf]
Santa Fe Institute Working Paper 93-06-035.
J. P. Crutchfield, "Observing Complexity and The Complexity of Observation", in Inside versus Outside, H. Atmanspacher, editor, Springer-Verlag, Berlin (1994) 234-272.
[Abstract] [ps] [pdf]
Santa Fe Institute Working Paper 93-06-035.
J. P. Crutchfield, "What Lies Between Order and Chaos?" in Art and Complexity, J. Casti, editor, Oxford University Press (2002).
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K. Young and J. P. Crutchfield, "Fluctuation Spectroscopy", Chaos, Solitons, and Fractals 4 (1993) 5-39.
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Santa Fe Institute Working Paper 93-05-028.
J. P. Crutchfield, "Semantics and Thermodynamics", in Nonlinear Modeling and Forecasting, SFI Studies in the Sciences of Complexity, Proc. Vol. XII, M. Casdagli and S. Eubank, editors, Addison-Wesley, Reading, Massachusetts (1992) 317-360.
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Santa Fe Institute Working Paper 91-09-033.
J. P. Crutchfield, "Knowledge and Meaning...Chaos and Complexity", in Modeling Complex Systems, L. Lam and H. C. Morris, editors, Springer-Verlag, Berlin (1992) 66 -101.
[Abstract]
Santa Fe Institute Working Paper 91-09-035.
J. P. Crutchfield, "Reconstructing Language Hierarchies", in Information Dynamics, NATO ASI Series, 256, H. A. Atmanspracher and H. Scheingraber, editors, Plenum Press, New York (1990) 45-60.
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J. P. Crutchfield, "Complexity: Order contra Chaos", in Proceedings of the International Conference on Fuzzy Logic and Neural Networks, S. Yasui and T. Yamakawa, editors, Iizuka, Japan (July 1990) World Scientific Publishers, Singapore (1990) 127.
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J. P. Crutchfield, "Chaos and Complexity", in Handbook of Metaphysics and Ontology, Philosophia Verlag, München (1990).
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J. P. Crutchfield, "Information and Its Metric", in Nonlinear Structures in Physical Systems — Pattern Formation, Chaos, and Waves, L. Lam and H. C. Morris, editors, Springer-Verlag, Berlin (1990) 119-130.
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J. P. Crutchfield, "Inferring the Dynamic, Quantifying Physical Complexity", in Measures of Complexity and Chaos, A. M. Albano, N. B. Abraham, P. E. Rapp, and A. Passamante, editors, Plenum Press, New York (1989) 327.
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J. P. Crutchfield and K. Young, "Computation at the Onset of Chaos", in Entropy, Complexity, and Physics of Information, W. Zurek, editor, SFI Studies in the Sciences of Complexity, VIII, Addison-Wesley, Reading, Massachusetts (1990) 223-269.
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J. P. Crutchfield and K. Young, "Inferring Statistical Complexity", Physical Review Letters 63 (1989) 105-108.
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J. P. Crutchfield and B. McNamara, "Equations of Motion from a Data Series", Complex Systems 1:3 (1987) 417-452.
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J. P. Crutchfield and N. H. Packard, "Symbolic Dynamics of Noisy Chaos", in Physica 7D (1983) 201-223.
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J. P. Crutchfield and N. H. Packard, "Noise Scaling of Symbolic Dynamics Entropies", in Evolution of Order and Chaos, ed. H. Haken, Springer-Verlag, Berlin (1982) 215-227.
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P. Collet, J. P. Crutchfield, and J.-P. Eckmann, "Computing the Topological Entropy of Maps", Commun. Math. Phys. 88 (1983) 257-262.
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J. P. Crutchfield and N. H. Packard, "Symbolic Dynamics of One-Dimensional Maps: Entropies, Finite Precision, and Noise", Intl. J. Theo. Phys. 21 (1982) 433-466.
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N. H. Packard, J. P. Crutchfield, J. D. Farmer, and R. S. Shaw, "Geometry from a Time Series", Phys. Rev. Let. 45 (1980) 712-716.
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