Experimental Mathematics: The Role of Computation in Nonlinear Science. - David K. Campbell; Jim Crutchfield; Doyne Farmer; Erica Jen (Commun. ACM, 1985)

Equations of Motion from a Data Series. - James P. Crutchfield; Bruce S. McNamara (Complex Syst., 1987)

Revisiting the Edge of Chaos: Evolving Cellular Automata to Perform Computations. - Melanie Mitchell; Peter T. Hraber; James P. Crutchfield (Complex Syst., 1993)

A Genetic Algorithm Discovers Particle-Based Computation in Cellular Automata. - Rajarshi Das; Melanie Mitchell; James P. Crutchfield (PPSN, 1994)

Evolving Globally Synchronized Cellular Automata. - Rajarshi Das; James P. Crutchfield; Melanie Mitchell; James E. Hanson (ICGA, 1995)

Turbulent landscapes. - Jim Crutchfield; Ned Kahn (Complex., 1996)

Mechanisms of Emergent Computation in Cellular Automata. - Wim Hordijk; James P. Crutchfield; Melanie Mitchell (PPSN, 1998)

Computational Mechanics: Pattern and Prediction, Structure and Simplicity - Cosma Rohilla Shalizi; James P. Crutchfield (CoRR, 1999)

Statistical Dynamics of the Royal Road Genetic Algorithm. - Erik van Nimwegen; James P. Crutchfield; Melanie Mitchell (Theor. Comput. Sci., 1999)

Pattern Discovery and Computational Mechanics - Cosma Rohilla Shalizi; James P. Crutchfield (CoRR, 2000)

Quantum automata and quantum grammars. - Cristopher Moore; James P. Crutchfield (Theor. Comput. Sci., 2000)

Resource sharing and coevolution in evolving cellular automata. - Justin Werfel; Melanie Mitchell; James P. Crutchfield (IEEE Trans. Evol. Comput., 2000)

Synchronizing to the Environment: Information-Theoretic Constraints on Agent Learning. - James P. Crutchfield; David P. Feldman (Adv. Complex Syst., 2001)

Optimizing Epochal Evolutionary Search: Population-Size Dependent Theory. - Erik van Nimwegen; James P. Crutchfield (Mach. Learn., 2001)

Evolving two-dimensional cellular automata to perform density classification: A report on work in progress. - Francisco Jiménez-Morales; James P. Crutchfield; Melanie Mitchell (Parallel Comput., 2001)

Evolving One Dimensional Cellular Automata to Perform Non-trivial Collective Behavior Task: One Case Study. - Francisco Jiménez-Morales; Melanie Mitchell; James P. Crutchfield (International Conference on Computational Science (1), 2002)

Information Bottlenecks, Causal States, and Statistical Relevance Bases: How to Represent Relevant Information in memoryless transduction. - Cosma Rohilla Shalizi; James P. Crutchfield (Adv. Complex Syst., 2002)

An Algorithm for Pattern Discovery in Time Series - Cosma Rohilla Shalizi; Kristina Lisa Shalizi; James P. Crutchfield (CoRR, 2002)

What Lies Between Order and Chaos? - James P. Crutchfield (Art and Complexity, 2003)

Synchronizing to Periodicity: the Transient Information and Synchronization Time of Periodic Sequences. - David P. Feldman; James P. Crutchfield (Adv. Complex Syst., 2004)

How Random is a Coin Toss? Bayesian Inference and the Symbolic Dynamics of Deterministic Chaos - Christopher C. Strelioff; James P. Crutchfield (CoRR, 2006)

Automated pattern detection - An algorithm for constructing optimally synchronizing multi-regular language filters. - Carl S. McTague; James P. Crutchfield (Theor. Comput. Sci., 2006)

Structure or Noise? - Susanne Still; James P. Crutchfield (CoRR, 2007)

Optimal Causal Inference - Susanne Still; James P. Crutchfield; Christopher J. Ellison (CoRR, 2007)

Hierarchical Self-Organization in the Finitary Process Soup. - Olof Görnerup; James P. Crutchfield (Artif. Life, 2008)

Language Diversity of Measured Quantum Processes. - Karoline Wiesner; James P. Crutchfield (Int. J. Unconv. Comput., 2008)

Computational Mechanics: Natural Computation and Self-organization. - James P. Crutchfield (UC, 2009)

Prediction, Retrodiction, and The Amount of Information Stored in the Present - Christopher J. Ellison; John R. Mahoney; James P. Crutchfield (CoRR, 2009)

Hidden Markov Models for Automated Protocol Learning. - Sean Whalen; Matt Bishop; James P. Crutchfield (SecureComm, 2010)

Order and disorder in open systems. - Alfred W. Hübler; James P. Crutchfield (Complex., 2010)

Synchronization and Control in Intrinsic and Designed Computation: An Information-Theoretic Analysis of Competing Models of Stochastic Computation - James P. Crutchfield; Christopher J. Ellison; Ryan G. James; John R. Mahoney (CoRR, 2010)

Exact Synchronization for Finite-State Sources - Nicholas F. Travers; James P. Crutchfield (CoRR, 2010)

Many Roads to Synchrony: Natural Time Scales and Their Algorithms - Ryan G. James; John R. Mahoney; Christopher J. Ellison; James P. Crutchfield (CoRR, 2010)

Enumerating Finitary Processes - B. D. Johnson; James P. Crutchfield; Christopher J. Ellison; Carl S. McTague (CoRR, 2010)

Asymptotic Synchronization for Finite-State Sources - Nicholas F. Travers; James P. Crutchfield (CoRR, 2010)

The Past and the Future in the Present - James P. Crutchfield; Christopher J. Ellison (CoRR, 2010)

Computation in Sofic Quantum Dynamical Systems. - Karoline Wiesner; James P. Crutchfield (Nat. Comput., 2010)

Anatomy of a Bit: Information in a Time Series Observation - Ryan G. James; Christopher J. Ellison; James P. Crutchfield (CoRR, 2011)

Information Symmetries in Irreversible Processes - Christopher J. Ellison; John R. Mahoney; Ryan G. James; James P. Crutchfield; Joerg Reichardt (CoRR, 2011)

How Hidden are Hidden Processes? A Primer on Crypticity and Entropy Convergence - John R. Mahoney; Christopher J. Ellison; Ryan G. James; James P. Crutchfield (CoRR, 2011)

Equivalence of History and Generator Epsilon-Machines - Nicholas F. Travers; James P. Crutchfield (CoRR, 2011)

Structural Drift: The Population Dynamics of Sequential Learning. - James P. Crutchfield; Sean Whalen (PLoS Comput. Biol., 2012)

Exact Complexity: The Spectral Decomposition of Intrinsic Computation. - James P. Crutchfield; Christopher J. Ellison; Paul M. Riechers (CoRR, 2013)

Chaos Forgets and Remembers: Measuring Information Creation, Destruction, and Storage. - Ryan G. James; Korana Burke; James P. Crutchfield (CoRR, 2013)

Bayesian Structural Inference for Hidden Processes. - Christopher C. Strelioff; James P. Crutchfield (CoRR, 2013)

Computational Mechanics of Input-Output Processes: Structured transformations and the ε-transducer. - Nix Barnett; James P. Crutchfield (CoRR, 2014)

Understanding and Designing Complex Systems: Response to "A framework for optimal high-level descriptions in science and engineering - preliminary report". - James P. Crutchfield; Ryan G. James; Sarah Marzen; Dowman P. Varn (CoRR, 2014)

Circumventing the Curse of Dimensionality in Prediction: Causal Rate-Distortion for Infinite-Order Markov Processes. - Sarah Marzen; James P. Crutchfield (CoRR, 2014)

Pairwise Correlations in Layered Close-Packed Structures. - Paul M. Riechers; Dowman P. Varn; James P. Crutchfield (CoRR, 2014)

Diffraction Patterns of Layered Close-packed Structures from Hidden Markov Models. - Paul M. Riechers; Dowman P. Varn; James P. Crutchfield (CoRR, 2014)

Chaotic Crystallography: How the physics of information reveals structural order in materials. - Dowman P. Varn; James P. Crutchfield (CoRR, 2014)

Intersection Information Based on Common Randomness. - Virgil Griffith; Edwin K. P. Chong; Ryan G. James; Christopher J. Ellison; James P. Crutchfield (Entropy, 2014)

Information Anatomy of Stochastic Equilibria. - Sarah Marzen; James P. Crutchfield (Entropy, 2014)

Infinite Excess Entropy Processes with Countable-State Generators. - Nicholas F. Travers; James P. Crutchfield (Entropy, 2014)

The Elusive Present: Hidden Past and Future Dependency and Why We Build Models. - Pooneh M. Ara; Ryan G. James; James P. Crutchfield (CoRR, 2015)

Signatures of Infinity: Nonergodicity and Resource Scaling in Prediction, Complexity, and Learning. - James P. Crutchfield; Sarah Marzen (CoRR, 2015)

Information Flows? A Critique of Transfer Entropies. - Ryan G. James; Nix Barnett; James P. Crutchfield (CoRR, 2015)

Occam's Quantum Strop: Synchronizing and Compressing Classical Cryptic Processes via a Quantum Channel. - John R. Mahoney; Cina Aghamohammadi; James P. Crutchfield (CoRR, 2015)

Memoryless Thermodynamics? A Reply. - Dibyendu Mandal; Alexander B. Boyd; James P. Crutchfield (CoRR, 2015)

Statistical Signatures of Structural Organization: The case of long memory in renewal processes. - Sarah E. Marzen; James P. Crutchfield (CoRR, 2015)

Time Resolution Dependence of Information Measures for Spiking Neurons: Atoms, Scaling, and Universality. - Sarah E. Marzen; Michael Robert DeWeese; James P. Crutchfield (CoRR, 2015)

A Closed-Form Shave from Occam's Quantum Razor: Exact Results for Quantum Compression. - Paul M. Riechers; John R. Mahoney; Cina Aghamohammadi; James P. Crutchfield (CoRR, 2015)

Informational and Causal Architecture of Discrete-Time Renewal Processes. - Sarah E. Marzen; James P. Crutchfield (Entropy, 2015)

Time resolution dependence of information measures for spiking neurons: scaling and universality. - James P. Crutchfield; Michael Robert DeWeese; Sarah E. Marzen (Frontiers Comput. Neurosci., 2015)

The Markov Memory for Generating Rare Events. - Cina Aghamohammadi; James P. Crutchfield (CoRR, 2016)

Thermodynamics of Random Number Generation. - Cina Aghamohammadi; James P. Crutchfield (CoRR, 2016)

The Ambiguity of Simplicity. - Cina Aghamohammadi; John R. Mahoney; James P. Crutchfield (CoRR, 2016)

Extreme Quantum Advantage when Simulating Strongly Coupled Classical Systems. - Cina Aghamohammadi; John R. Mahoney; James P. Crutchfield (CoRR, 2016)

Correlation-powered Information Engines and the Thermodynamics of Self-Correction. - Alexander B. Boyd; Dibyendu Mandal; James P. Crutchfield (CoRR, 2016)

Leveraging Environmental Correlations: The Thermodynamics of Requisite Variety. - Alexander B. Boyd; Dibyendu Mandal; James P. Crutchfield (CoRR, 2016)

Transient Dissipation and Structural Costs of Physical Information Transduction. - Alexander B. Boyd; Dibyendu Mandal; Paul M. Riechers; James P. Crutchfield (CoRR, 2016)

Not All Fluctuations are Created Equal: Spontaneous Variations in Thermodynamic Function. - James P. Crutchfield; Cina Aghamohammadi (CoRR, 2016)

Informational and Causal Architecture of Continuous-time Renewal and Hidden Semi-Markov Processes. - Sarah E. Marzen; James P. Crutchfield (CoRR, 2016)

Extreme Quantum Advantage for Rare-Event Sampling. - Cina Aghamohammadi; Samuel P. Loomis; John R. Mahoney; James P. Crutchfield (CoRR, 2017)

Trimming the Independent Fat: Sufficient Statistics, Mutual Information, and Predictability from Effective Channel States. - Ryan G. James; John R. Mahoney; James P. Crutchfield (CoRR, 2017)

Nearly Maximally Predictive Features and Their Dimensions. - Sarah E. Marzen; James P. Crutchfield (CoRR, 2017)

Structure and Randomness of Continuous-Time Discrete-Event Processes. - Sarah E. Marzen; James P. Crutchfield (CoRR, 2017)

Prediction and Power in Molecular Sensors: Uncertainty and Dissipation When Conditionally Markovian Channels Are Driven by Semi-Markov Environments. - Sarah E. Marzen; James P. Crutchfield (CoRR, 2017)

Spectral Simplicity of Apparent Complexity, Part I: The Nondiagonalizable Metadynamics of Prediction. - Paul M. Riechers; James P. Crutchfield (CoRR, 2017)

Spectral Simplicity of Apparent Complexity, Part II: Exact Complexities and Complexity Spectra. - Paul M. Riechers; James P. Crutchfield (CoRR, 2017)

Prediction and Generation of Binary Markov Processes: Can a Finite-State Fox Catch a Markov Mouse? - J. Ruebeck; Ryan G. James; John R. Mahoney; James P. Crutchfield (CoRR, 2017)

Above and Beyond the Landauer Bound: Thermodynamics of Modularity. - Alexander B. Boyd; Dibyendu Mandal; James P. Crutchfield (CoRR, 2017)

Unique Information via Dependency Constraints. - Ryan G. James; Jeffrey Emenheiser; James P. Crutchfield (CoRR, 2017)

Classical and Quantum Factors of Channels. - John R. Mahoney; Cina Aghamohammadi; James P. Crutchfield (CoRR, 2017)

The Origins of Computational Mechanics: A Brief Intellectual History and Several Clarifications. - James P. Crutchfield (CoRR, 2017)

Multivariate Dependence beyond Shannon Information. - Ryan G. James; James P. Crutchfield (Entropy, 2017)

Anatomy of a Spin: The Information-Theoretic Structure of Classical Spin Systems. - Vikram S. Vijayaraghavan; Ryan G. James; James P. Crutchfield (Entropy, 2017)

Local Causal States and Discrete Coherent Structures. - Adam Rupe; James P. Crutchfield (CoRR, 2018)

Optimized Bacteria are Environmental Prediction Engines. - Sarah E. Marzen; James P. Crutchfield (CoRR, 2018)

Modes of Information Flow. - Ryan G. James; Blanca Daniella Mansante Ayala; Bahti Zakirov; James P. Crutchfield (CoRR, 2018)

A Perspective on Unique Information: Directionality, Intuitions, and Secret Key Agreement. - Ryan G. James; Jeffrey Emenheiser; James P. Crutchfield (CoRR, 2018)

Strong and Weak Optimizations in Classical and Quantum Models of Stochastic Processes. - Samuel P. Loomis; James P. Crutchfield (CoRR, 2018)

Shortcuts to Thermodynamic Computing: The Cost of Fast and Faithful Erasure. - Alexander B. Boyd; Ayoti Patra; C. Jarzynski; James P. Crutchfield (CoRR, 2018)

Spacetime Symmetries, Invariant Sets, and Additive Subdynamics of Cellular Automata. - Adam Rupe; James P. Crutchfield (CoRR, 2018)

dit: a Python package for discrete information theory. - Ryan G. James; Christopher J. Ellison; James P. Crutchfield (J. Open Source Softw., 2018)

DisCo: Physics-Based Unsupervised Discovery of Coherent Structures in Spatiotemporal Systems. - Adam Rupe; Prabhat; James P. Crutchfield; Nalini Kumar; Vladislav Epifanov; Karthik Kashinath; Oleksandr Pavlyk; Frank Schlimbach; Mostofa Patwary; Sergey Maidanov; Victor W. Lee (MLHPC@SC, 2019)

Harnessing Fluctuations in Thermodynamic Computing via Time-Reversal Symmetries. - Gregory Wimsatt; Olli-Pentti Saira; Alexander B. Boyd; Matthew H. Matheny; Siyuan Han; Michael L. Roukes; James P. Crutchfield (CoRR, 2019)

Fraudulent White Noise: Flat power spectra belie arbitrarily complex processes. - Paul M. Riechers; James P. Crutchfield (CoRR, 2019)

Balancing Error and Dissipation in Highly-Reliable Computing. - Paul M. Riechers; Alexander B. Boyd; Gregory Wimsatt; James P. Crutchfield (CoRR, 2019)

Towards Unsupervised Segmentation of Extreme Weather Events. - Adam Rupe; Karthik Kashinath; Nalini Kumar; Victor W. Lee; Prabhat; James P. Crutchfield (CoRR, 2019)

Thermal Efficiency of Quantum Memory Compression. - Samuel P. Loomis; James P. Crutchfield (CoRR, 2019)

Thermodynamic Computing. - Tom Conte 001; Erik DeBenedictis; Natesh Ganesh; Todd Hylton; John Paul Strachan; R. Stanley Williams; Alexander A. Alemi; Lee Altenberg; Gavin E. Crooks; James P. Crutchfield; Lídia del Rio; Josh Deutsch; et al. (CoRR, 2019)

Unique Information and Secret Key Agreement. - Ryan G. James; Jeffrey Emenheiser; James P. Crutchfield (Entropy, 2019)

Thermodynamically-Efficient Local Computation: Classical and quantum information reservoirs and generators. - Samuel P. Loomis; James P. Crutchfield (CoRR, 2020)

The Functional Thermodynamics of Finite-State Maxwellian Ratchets. - Alexandra M. Jurgens; James P. Crutchfield (CoRR, 2020)

Variations on a Demonic Theme: Szilard's Other Engines. - Kyle J. Ray; James P. Crutchfield (CoRR, 2020)

Inference, Prediction, and Entropy-Rate Estimation of Continuous-time, Discrete-event Processes. - Sarah E. Marzen; James P. Crutchfield (CoRR, 2020)

Correlated structural evolution within multiplex networks. - Haochen Wu; Ryan G. James; James P. Crutchfield; Raissa M. D'Souza (CoRR, 2020)

Thermodynamic Machine Learning through Maximum Work Production. - Alexander B. Boyd; James P. Crutchfield; Mile Gu (CoRR, 2020)

Shannon Entropy Rate of Hidden Markov Processes. - Alexandra M. Jurgens; James P. Crutchfield (CoRR, 2020)

Non-Markovian Momentum Computing: Universal and Efficient. - Kyle J. Ray; Gregory Wimsatt; Alexander B. Boyd; James P. Crutchfield (CoRR, 2020)

Spacetime Autoencoders Using Local Causal States. - Adam Rupe; James P. Crutchfield (CoRR, 2020)

Refining Landauer's Stack: Balancing Error and Dissipation When Erasing Information. - Gregory W. Wimsatt; Alexander B. Boyd; Paul M. Riechers; James P. Crutchfield (CoRR, 2020)

Discovering Causal Structure with Reproducing-Kernel Hilbert Space ε-Machines. - Nicolas Brodu; James P. Crutchfield (CoRR, 2020)

Divergent Predictive States: The Statistical Complexity Dimension of Stationary, Ergodic Hidden Markov Processes. - Alexandra M. Jurgens; James P. Crutchfield (CoRR, 2021)

Nonequilibrium Thermodynamics in Measuring Carbon Footprints: Disentangling Structure and Artifact in Input-Output Accounting. - Samuel P. Loomis; Mark Cooper; James P. Crutchfield (CoRR, 2021)

Topology, Convergence, and Reconstruction of Predictive States. - Samuel P. Loomis; James P. Crutchfield (CoRR, 2021)

Quantum Information Dimension and Geometric Entropy. - Fabio Anza; James P. Crutchfield (CoRR, 2021)

Gigahertz Sub-Landauer Momentum Computing. - Kyle J. Ray; James P. Crutchfield (CoRR, 2022)

Exploring Predictive States via Cantor Embeddings and Wasserstein Distance. - Samuel P. Loomis; James P. Crutchfield (CoRR, 2022)

Whale Casting: Remote mobile streaming humpback whale vocalizations to the world. - James P. Crutchfield; Alexandra M. Jurgens (CoRR, 2022)

Discovering Noncritical Organization: Statistical Mechanical, Information Theoretic, and Computational Views of Patterns in One-Dimensional Spin Systems. - David P. Feldman; James P. Crutchfield (Entropy, 2022)

Probabilistic Deterministic Finite Automata and Recurrent Networks, Revisited. - Sarah E. Marzen; James P. Crutchfield (Entropy, 2022)

Algebraic Theory of Patterns as Generalized Symmetries. - Adam Rupe; James P. Crutchfield (Symmetry, 2022)

Inference, Prediction, & Entropy-Rate Estimation of Continuous-Time, Discrete-Event Processes. - Sarah E. Marzen; James P. Crutchfield (Entropy, 2022)

Intrinsic and Measured Information in Separable Quantum Processes. - David Gier; James P. Crutchfield (CoRR, 2023)

Complexity-calibrated Benchmarks for Machine Learning Reveal When Next-Generation Reservoir Computer Predictions Succeed and Mislead. - Sarah E. Marzen; Paul M. Riechers; James P. Crutchfield (CoRR, 2023)

Physics-Informed Representation Learning for Emergent Organization in Complex Dynamical Systems. - Adam Rupe; Karthik Kashinath; Nalini Kumar; James P. Crutchfield (CoRR, 2023)

Dynamical Computing on the Nanoscale: Superconducting Circuits for Thermodynamically-Efficient Classical Information Processing. - Christian Z. Pratt; Kyle J. Ray; James P. Crutchfield (CoRR, 2023)

On Principles of Emergent Organization. - Adam T. Rupe; James P. Crutchfield (CoRR, 2023)

Branching States as The Emergent Structure of a Quantum Universe. - Akram Touil; Fabio Anza; Sebastian Deffner; James P. Crutchfield (Quantum, 2024)

Maximum Geometric Quantum Entropy. - Fabio Anza; James P. Crutchfield (Entropy, 2024)

Taxonomy of Prediction. - Alexandra M. Jurgens; James P. Crutchfield (CoRR, 2025)

Learning Stochastic Thermodynamics Directly from Correlation and Trajectory-Fluctuation Currents. - Jinghao Lyu; Kyle J. Ray; James P. Crutchfield (CoRR, 2025)

Agentic Information Theory: Ergodicity and Intrinsic Semantics of Information Processes. - James P. Crutchfield; Alexandra M. Jurgens (CoRR, 2025)

Way More Than the Sum of Their Parts: From Statistical to Structural Mixtures. - James P. Crutchfield (CoRR, 2025)