Quantifying Self-Organization in Cyclic Cellular Automata (2005)
Shalizi, Cosma Rohilla, Shalizi, Kristina Lisa
Cyclic cellular automata (CCA) are models of excitable media. Started from random initial conditions, they produce several different kinds of spatial structure, depending on their control parameters....
Quantifying Self-Organization with Optimal Predictors (2004)
Shalizi, Cosma Rohilla, Shalizi, Kristina Lisa, Haslinger, Robert
Despite broad interest in self-organizing systems, there are few quantitative, experimentally-applicable criteria for self-organization. The existing criteria all give counter-intuitive results for...
Blind Construction of Optimal Nonlinear Recursive Predictors for Discrete Sequences (2004)
Shalizi, Cosma Rohilla, Shalizi, Kristina Lisa
We present a new method for nonlinear prediction of discrete random sequences under minimal structural assumptions. We give a mathematical construction for optimal predictors of such processes, in...
Quantifying Self-Organization in Cyclic Cellular Automata (2003)
Cosma Rohilla Shalizi, Kristina Lisa Shalizi
Cyclic cellular automata (CCA) are models of excitable media. Started from random initial conditions, they produce several di#erent kinds of spatial structure, depending on their control parameters....
An Algorithm for Pattern Discovery in Time Series (2002)
Shalizi, Cosma Rohilla, Shalizi, Kristina Lisa, Crutchfield, James P.
We present a new algorithm for discovering patterns in time series and other sequential data. We exhibit a reliable procedure for building the minimal set of hidden, Markovian states that is...