Henry P. Wynn's Books

Dynamical Search

Applications of Dynamical Systems in Search and Optimization

By: Luc Pronzato,Henry P. Wynn,Anatoly A Zhigljavsky

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Dynamical Search

Applications of Dynamical Systems in Search and Optimization

By: Luc Pronzato,Henry P. Wynn,Anatoly A Zhigljavsky

Certain algorithms that are known to converge can be renormalized or "blown up" at each iteration so that their local behavior can be seen. This creates dynamical systems that we can study with modern tools, such as ergodic theory, chaos, special attractors, and Lyapounov exponents. Furthermore, we can translate the rates of convergence into less studied exponents known as Renyi entropies. This all feeds back to suggest new algorithms with faster rates of convergence. For example, in line-search, we can improve upon the Golden Section algorithm with new classes of algorithms that have their own special-and sometimes chaotic-dynamical systems. The ellipsoidal algorithms of linear and convex programming have fast, "deep cut" versions whose dynamical systems contain cyclic attractors. And ordinary steepest descent has, buried within, a beautiful fractal that controls the gateway to a special two-point attractor. Faster "relaxed" versions exhibit classical period doubling. Dynamical Search presents a stimulating introduction to a brand new field - the union of dynamical systems and optimization. It will prove fascinating and open doors to new areas of investigation for researchers in both fields, plus those in statistics and computer science.

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Page Count

240

Publisher

CRC Press

Published Date

ISBN 10

0849303362

ISBN 13

9780849303364

Algebraic Statistics

Computational Commutative Algebra in Statistics

By: Giovanni Pistone,Eva Riccomagno,Henry P. Wynn

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Algebraic Statistics

Computational Commutative Algebra in Statistics

By: Giovanni Pistone,Eva Riccomagno,Henry P. Wynn

Written by pioneers in this exciting new field, Algebraic Statistics introduces the application of polynomial algebra to experimental design, discrete probability, and statistics. It begins with an introduction to Grobner bases and a thorough description of their applications to experimental design. A special chapter covers the binary case

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Page Count

180

Publisher

CRC Press

Published Date

ISBN 10

1420035762

ISBN 13

9781420035766

Against Sacrifice

An essay on risk and ethics

By: Henry P Wynn

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Against Sacrifice

An essay on risk and ethics

By: Henry P Wynn

This book is directed at the sort of raw utilitarian approach to making hard choices in public life which uses in one form or another the idea of the cash value of a human life. This arises with the use of so-called QALYs in Health Economics and spending caps in Health and Safety at work.

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Age

Page Count

200

Publisher

Troubador Publishing Ltd

Published Date

ISBN 10

1800466676

ISBN 13

9781800466678

Book's by Henry P. Wynn

Dynamical Search

Dynamical Search

Algebraic Statistics

Algebraic Statistics

Against Sacrifice

Against Sacrifice

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