PASCAL - Pattern Analysis, Statistical Modelling and Computational Learning

Past-future information bottleneck in dynamical systems
Felix Creutzig, Amir Globerson and Naftali Tishby
Physical Review E Volume 79, Number 4, 2009.

Abstract

Biological systems need to process information in real time and must trade off accuracy of presentation and coding costs. Here we operationalize this trade-off and develop an information-theoretic framework that selectively extracts information of the input past that is predictive about the output future, obtaining a generalized eigenvalue problem. Thereby, we unravel the input history in terms of structural phase transitions corresponding to additional dimensions of a state space. We elucidate the relation to canonical correlation analysis and give a numerical example. Altogether, this work relates information-theoretic optimization to the joint problem of system identification and model reduction.

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EPrint Type:Article
Project Keyword:Project Keyword UNSPECIFIED
Subjects:Computational, Information-Theoretic Learning with Statistics
ID Code:5430
Deposited By:Amir Globerson
Deposited On:23 July 2009