
Quantum Information Dimension and Geometric Entropy
Geometric quantum mechanics, through its differentialgeometric underpin...
read it

Topology, Convergence, and Reconstruction of Predictive States
Predictive equivalence in discrete stochastic processes have been applie...
read it

Nonequilibrium Thermodynamics in Measuring Carbon Footprints: Disentangling Structure and Artifact in InputOutput Accounting
Multiregional inputoutput (MRIO) tables, in conjunction with Leontief a...
read it

Divergent Predictive States: The Statistical Complexity Dimension of Stationary, Ergodic Hidden Markov Processes
Even simplydefined, finitestate generators produce stochastic processe...
read it

Discovering Causal Structure with ReproducingKernel Hilbert Space εMachines
We merge computational mechanics' definition of causal states (predictiv...
read it

Spacetime Autoencoders Using Local Causal States
Local causal states are latent representations that capture organized pa...
read it

Shannon Entropy Rate of Hidden Markov Processes
Hidden Markov chains are widely applied statistical models of stochastic...
read it

Variations on a Demonic Theme: Szilard's Other Engines
Szilard's nowfamous singlemolecule engine was only the first of three ...
read it

The Functional Thermodynamics of FiniteState Maxwellian Ratchets
Autonomous Maxwellian demons exploit structured environments as a resour...
read it

ThermodynamicallyEfficient Local Computation: Classical and quantum information reservoirs and generators
The thermodynamics of modularity identifies how locallyimplemented comp...
read it

Thermal Efficiency of Quantum Memory Compression
Quantum coherence allows for reducedmemory simulators of classical proc...
read it

DisCo: PhysicsBased Unsupervised Discovery of Coherent Structures in Spatiotemporal Systems
Extracting actionable insight from complex unlabeled scientific data is ...
read it

Towards Unsupervised Segmentation of Extreme Weather Events
Extreme weather is one of the main mechanisms through which climate chan...
read it

Harnessing Fluctuations in Thermodynamic Computing via TimeReversal Symmetries
We experimentally demonstrate that highly structured distributions of wo...
read it

Unique Information and Secret Key Agreement
The partial information decomposition (PID) is a promising framework for...
read it

Strong and Weak Optimizations in Classical and Quantum Models of Stochastic Processes
Among the predictive hidden Markov models that describe a given stochast...
read it

A Perspective on Unique Information: Directionality, Intuitions, and Secret Key Agreement
Recently, the partial information decomposition emerged as a promising f...
read it

Modes of Information Flow
Information flow between components of a system takes many forms and is ...
read it

Optimized Bacteria are Environmental Prediction Engines
Experimentalists have observed phenotypic variability in isogenic bacter...
read it

Local Causal States and Discrete Coherent Structures
Coherent structures form spontaneously in nonlinear spatiotemporal syste...
read it

Nearly Maximally Predictive Features and Their Dimensions
Scientific explanation often requires inferring maximally predictive fea...
read it

Trimming the Independent Fat: Sufficient Statistics, Mutual Information, and Predictability from Effective Channel States
One of the most fundamental questions one can ask about a pair of random...
read it

Multivariate Dependence Beyond Shannon Information
Accurately determining dependency structure is critical to discovering a...
read it

The Elusive Present: Hidden Past and Future Dependency and Why We Build Models
Modeling a temporal process as if it is Markovian assumes the present en...
read it

Time Resolution Dependence of Information Measures for Spiking Neurons: Atoms, Scaling, and Universality
The mutual information between stimulus and spiketrain response is comm...
read it

Signatures of Infinity: Nonergodicity and Resource Scaling in Prediction, Complexity, and Learning
We introduce a simple analysis of the structural complexity of infinite...
read it

Circumventing the Curse of Dimensionality in Prediction: Causal RateDistortion for InfiniteOrder Markov Processes
Predictive ratedistortion analysis suffers from the curse of dimensiona...
read it

Bayesian Structural Inference for Hidden Processes
We introduce a Bayesian approach to discovering patterns in structurally...
read it

Equivalence of History and Generator EpsilonMachines
Epsilonmachines are minimal, unifilar presentations of stationary stoch...
read it

Asymptotic Synchronization for FiniteState Sources
We extend a recent synchronization analysis of exact finitestate source...
read it

Exact Synchronization for FiniteState Sources
We analyze how an observer synchronizes to the internal state of a finit...
read it

Synchronization and Control in Intrinsic and Designed Computation: An InformationTheoretic Analysis of Competing Models of Stochastic Computation
We adapt tools from information theory to analyze how an observer comes ...
read it

Automated Pattern DetectionAn Algorithm for Constructing Optimally Synchronizing MultiRegular Language Filters
In the computationalmechanics structural analysis of onedimensional ce...
read it

Pattern Discovery and Computational Mechanics
Computational mechanics is a method for discovering, describing and quan...
read it
James P. Crutchfield
is this you? claim profile
Professor of Physics at University of California in Davis