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Journal ArticleDOI

Inferring statistical complexity.

James P. Crutchfield, +1 more
- 10 Jul 1989 - 
- Vol. 63, Iss: 2, pp 105-108
TLDR
A technique is presented that directly reconstructs minimal equations of motion from the recursive structure of measurement sequences, demonstrating a form of superuniversality that refers only to the entropy and complexity of a data stream.
Abstract
Statistical mechanics is used to describe the observed information processing complexity of nonlinear dynamical systems. We introduce a measure of complexity distinct from and dual to the information theoretic entropies and dimensions. A technique is presented that directly reconstructs minimal equations of motion from the recursive structure of measurement sequences. Application to the period-doubling cascade demonstrates a form of superuniversality that refers only to the entropy and complexity of a data stream.

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Citations
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Journal ArticleDOI

The sequence of the human genome.

J. Craig Venter, +272 more
- 16 Feb 2001 - 
TL;DR: Comparative genomic analysis indicates vertebrate expansions of genes associated with neuronal function, with tissue-specific developmental regulation, and with the hemostasis and immune systems are indicated.
Journal ArticleDOI

Whatever next? Predictive brains, situated agents, and the future of cognitive science

TL;DR: This target article critically examines this "hierarchical prediction machine" approach, concluding that it offers the best clue yet to the shape of a unified science of mind and action.
Journal ArticleDOI

Consciousness and Complexity

Giulio Tononi, +1 more
- 04 Dec 1998 - 
TL;DR: Applying measures of neural integration and complexity, together with an analysis of extensive neurological data, leads to a testable proposal-the dynamic core hypothesis-about the properties of the neural substrate of consciousness.
Journal ArticleDOI

A Statistical Measure of Complexity

TL;DR: In this article, a measure of complexity based on a probabilistic description of physical systems is proposed, which can be applied to many physical situations and to different descriptions of a given system.
Journal ArticleDOI

The calculi of emergence: computation, dynamics and induction

TL;DR: An overview of an inductive framework-hierarchical ϵ-machine reconstruction—in which the emergence of complexity is associated with the innovation of new computational model classes is presented, along with an analysis of the constraints on the dynamics of innovation.