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From Statistical Physics to Statistical Inference and Back : NATO Science Series C - P. Grassberger

From Statistical Physics to Statistical Inference and Back

NATO Science Series C

By: P. Grassberger (Editor), J.P. Nadal (Editor)

Hardcover Published: 31st March 1994
ISBN: 9780792327752
Number Of Pages: 355

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Physicists, when modelling physical systems with a large number of degrees of freedom, and statisticians, when performing data analysis, have developed their own concepts and methods for making the `best' inference. But are these methods equivalent, or not? What is the state of the art in making inferences? The physicists want answers. More: neural computation demands a clearer understanding of how neural systems make inferences; the theory of chaotic nonlinear systems as applied to time series analysis could profit from the experience already booked by the statisticians; and finally, there is a long-standing conjecture that some of the puzzles of quantum mechanics are due to our incomplete understanding of how we make inferences. Matter enough to stimulate the writing of such a book as the present one.
But other considerations also arise, such as the maximum entropy method and Bayesian inference, information theory and the minimum description length. Finally, it is pointed out that an understanding of human inference may require input from psychologists. This lively debate, which is of acute current interest, is well summarized in the present work.

Remarksp. 1
Statistical mechanics and the maximum entropy methodp. 11
Irreversibility, probability and entropyp. 45
Maximum entropy for random cellular structuresp. 77
Minimal Description Length modeling: an introductionp. 95
An introduction to learning and generalizationp. 105
Information geometry and manifolds of neural networksp. 113
Uncertainty as a resource for managing complexityp. 139
The development of Information Theoryp. 155
Statistical inference, zero-knowledge and proofs of identityp. 169
Spin glasses: an introductionp. 183
Statistical Mechanics and error-correcting codesp. 195
Learning and generalization with undetermined architecturep. 205
Confronting neural network and human behavior in a quasiregular environmentp. 225
Sensory processing and information theoryp. 237
The formation of representations in the visual cortexp. 249
Classifier systems: models for learning agentsp. 263
Space time dynamics and biorthogonal analysis: mementump. 281
Symbolic encoding in dynamical systemsp. 293
Topological organization of (low-dimensional) chaosp. 311
Noise Separation and MDL modeling of chaotic processesp. 317
Inference in Quantum Mechanicsp. 331
Decoherence and the existential interpretation of quantum theory or "no information without representation"p. 341
List of Contributorsp. 351
Indexp. 353
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792327752
ISBN-10: 0792327756
Series: NATO Science Series C : Book 428
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 355
Published: 31st March 1994
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 2.06
Weight (kg): 1.53