97 citations · 406 across the 28 of their papers we have counts for
4 papers · 1 filter
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 +1
We recount recent history behind building compact models of nonlinear, complex processes and identifying their relevant macroscopic patterns or "macrostates". We give a synopsis of…
Circumventing the Curse of Dimensionality in Prediction: Causal Rate-Distortion for Infinite-Order Markov Processes
Sarah Marzen, James P. Crutchfield
Predictive rate-distortion analysis suffers from the curse of dimensionality: clustering arbitrarily long pasts to retain information about arbitrarily long futures requires resour…
Informational and Causal Architecture of Discrete-Time Renewal Processes
Sarah Marzen, James P. Crutchfield
Renewal processes are broadly used to model stochastic behavior consisting of isolated events separated by periods of quiescence, whose durations are specified by a given probabili…
Information Anatomy of Stochastic Equilibria
Sarah Marzen, James P. Crutchfield
A stochastic nonlinear dynamical system generates information, as measured by its entropy rate. Some---the ephemeral information---is dissipated and some---the bound information---…