Information Bottlenecks, Causal States, and Statistical Relevance Bases: How to Represent Relevant Information in Memoryless Transduction
arXiv:nlin/0006025 · doi:10.1142/S0219525902000481
Abstract
Discovering relevant, but possibly hidden, variables is a key step in constructing useful and predictive theories about the natural world. This brief note explains the connections between three approaches to this problem: the recently introduced information-bottleneck method, the computational mechanics approach to inferring optimal models, and Salmon's statistical relevance basis.
3 pages, no figures, submitted to PRE as a "brief report". Revision: added an acknowledgements section originally omitted by a LaTeX bug
References in corpus (2)
Cited by in corpus (9)
- An Algorithm for Pattern Discovery in Time Series
- Computational Mechanics of Input-Output Processes: Structured transformations and the -transducer
- Informational and Causal Architecture of Discrete-Time Renewal Processes
- Optimal high-level descriptions of dynamical systems
- Information theory and learning: a physical approach
- An Information-Theoretic Formalism for Multiscale Structure in Complex Systems
- Circumventing the Curse of Dimensionality in Prediction: Causal Rate-Distortion for Infinite-Order Markov Processes
- Finite-State Extreme Effect Variable
- Understanding and Designing Complex Systems: Response to "A framework for optimal high-level descriptions in science and engineering---preliminary report"