Description: Entropy of Hidden Markov Processes and Connections to Dynamical Systems by Brian Marcus This collection of research and survey papers sets out the theory of hidden Markov processes, in particular addressing a central problem of the subject: computation of the Shannon entropy rate of an HMP. Connections are drawn between approaches from various disciplines, whilst recent research results and open problems are described. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description Hidden Markov processes (HMPs) are important objects of study in many areas of pure and applied mathematics, including information theory, probability theory, dynamical systems and statistical physics, with applications in electrical engineering, computer science and molecular biology. This collection of research and survey papers presents important new results and open problems, serving as a unifying gateway for researchers in these areas. Based on talks given at the Banff International Research Station Workshop, 2007, this volume addresses a central problem of the subject: computation of the Shannon entropy rate of an HMP. This is a key quantity in statistical physics and information theory, characterising the fundamental limit on compression and closely related to channel capacity, the limit on reliable communication. Also discussed, from a symbolic dynamics and thermodynamical viewpoint, is the problem of characterizing the mappings between dynamical systems which map Markov measures to Markov (or Gibbs) measures, and which allow for Markov lifts of Markov chains. Author Biography Brian Marcus is a Professor in the Department of Mathematics at the University of British Columbia. He is a Fellow of the IEEE and was co-recipient of the Leonard G. Abraham Prize Paper Award of the IEEE Communications Society in 1993. He has published over 60 research papers and holds 12 US patents. Karl Petersen is a Professor of Mathematics at the University of North Carolina, Chapel Hill. He has previously written the book Ergodic Theory (Cambridge, 1983) and numerous research papers. Tsachy Weissman is an Associate Professor of Electrical Engineering at Stanford University, California and at the Technion. He is a recipient of the joint Information Theory - Communication Society best paper award, a Horev Fellowship for Leaders in Science and Technology and the Henry Taub Prize for excellence in research. He currently serves as Associate Editor of Shannon Theory for the IEEE Transactions on Information Theory. Table of Contents 1. Hidden Markov processes in the context of symbolic dynamics Mark Boyle and Karl Petersen; 2. On the preservation of Gibbsianess under symbol amalgamation Jean-Rene Chazottes and E. Ugalde; 3. A note on a complex Hilbert metric with application to domain of analyticity for entropy rate of hidden Markov processes Guangyue Han, Brian Marcus and Yuval Peres; 4. Bounds on the entropy rate of binary hidden Markov processes Erik Ordentlich and Tsachy Weissman; 5. Entropy rate for hidden Markov chains with rare transitions Yuval Peres and Anthony Quas; 6. The capacity of finite-state channels in the high-noise regime Henry Pfister; 7. Computing entropy rates for hidden Markov processes Mark Pollicott; 8. Factors of Gibbs measures for full shifts Mark Pollicott and Thomas Kempton; 9. Thermodynamics of hidden Markov processes Evgeny Verbitskiy. Promotional "Headline" A collection of survey papers presenting important new results and focussing on the computation of the Shannon entropy rate. Description for Bookstore This collection of research and survey papers sets out the theory of hidden Markov processes, in particular addressing a central problem of the subject: computation of the Shannon entropy rate of an HMP. Connections are drawn between approaches from various disciplines, whilst recent research results and open problems are described. Description for Library This collection of research and survey papers sets out the theory of hidden Markov processes, in particular addressing a central problem of the subject: computation of the Shannon entropy rate of an HMP. Connections are drawn between approaches from various disciplines, whilst recent research results and open problems are described. Details ISBN0521111137 Publisher Cambridge University Press Series London Mathematical Society Lecture Note Series Year 2011 ISBN-10 0521111137 ISBN-13 9780521111133 Format Paperback Author Brian Marcus Media Book Short Title ENTROPY OF HIDDEN MARKOV PROCE Language English DEWEY 519.233 Imprint Cambridge University Press Subtitle Papers from the Banff International Research Station Workshop Place of Publication Cambridge Country of Publication United Kingdom Edited by Karl Petersen Series Number 385 Publication Date 2011-05-26 Pages 280 Affiliation Stanford University, California Illustrations 8 Line drawings, unspecified Audience Professional and Scholarly UK Release Date 2011-05-26 AU Release Date 2011-05-26 NZ Release Date 2011-05-26 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:168634260;
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ISBN-13: 9780521111133
Book Title: Entropy of Hidden Markov Processes and Connections to Dynamical S
Number of Pages: 280 Pages
Publication Name: Entropy of Hidden Markov Processes and Connections to Dynamical Systems: Papers from the Banff International Research Station Workshop
Language: English
Publisher: Cambridge University Press
Item Height: 228 mm
Subject: Computer Science, Mathematics
Publication Year: 2011
Type: Textbook
Item Weight: 400 g
Author: Brian Marcus, Karl Petersen, Tsachy Weissman
Item Width: 152 mm
Format: Paperback
