Pattern theory: The stochastic analysis of real-world signals. Mumford D., Desolneux A.

Pattern theory: The stochastic analysis of real-world signals



Download Pattern theory: The stochastic analysis of real-world signals



Pattern theory: The stochastic analysis of real-world signals Mumford D., Desolneux A. ebook pdf
Publisher: AK Peters
Language: English
Page: 413
ISBN: 1568815794, 9781568815794

Review

The book comes with a large number of exercises and problems, some requiring computer programming. Thanks to these, it can be used as a textbook to support a quite original course that could be offered by a department of applied mathematics, computer science or electrical engineering. In fact, this excellent book targets and deserves a broad readership. It will provide precious and interesting material to anyone who would like to discover pattern theory and how it traverses across geometry, probability and signal processing.
—Laurent Younes, Mathematical Reviews, Issue 2011m

… a masterpiece. It is one of the best books I have ever read. … What singles out this outstanding book is an extremely original subject development. … This book is so exciting. It is a detective fiction. It is an inquiry into ‘real-world signals.’ In contrast to most detective stories, the beauty of the style is exceptional and meets the standards of the best writers. Art and beauty are present everywhere in this marvelous book. … The overall organisation of the book is also marvelous. … The authors are leaders in signal and image processing and this book is based on their extremely innovative research. Reading this book is like entering David Mumford’s office and beginning a friendly and informal scientific discussion with him and Agnès. That is a good approximation to paradise.
—Yves Meyer, EMS Newsletter, September 2011

Pattern Theory covers six classic attempts at modeling signals from the human and natural world: natural language (written), music, character recognition, texture modeling, face recognition, and natural scenes. These applications, appealing to students and researchers alike, include fourteen 'crash courses' giving all the needed basics, exercises, and numerical simulations. ... a complete pedagogic tool at master or first-year graduate level. I endorse the publication of Pattern Theory, and will actually use it and recommend it to other researchers.
—Jean-Michel Morel, CMLA

This book is fascinating. It develops a statistic approach to finding the patterns in the signals generated by the world. The style is lucid. I’m reminded of Mumford’s exposition of Theta functions and Abelian varieties in his Tata lectures. The exposition is thorough. The authors provide the necessary mathematical tools allowing scientists to pursue an exciting subject. I’ve been running a seminar at MIT entitled ‘New Opportunities for the Interactions of Mathematics and Other Disciplines’ because I’m convinced that mathematics will move in surprising new directions. Pattern Theory, a decade’s effort, is a prime example.
—I.M. Singer, Institute Professor, MIT

About the Author

David Mumford is a professor at Brown University in the Division of Applied Mathematics. He has been the recipient of many prestigious awards including most recently the American Mathematical Society's Steele Prize for Mathematical Exposition in 2007. He was awarded the Fields Medal in 1974. Agnes Desolneux is a former student of David Mumford's and received her Ph.D in applied mathematics from CMLA, ENS Cachan, France. Since 2001 she has been working as a researcher at CNRS (Centre National de la Recherche Scientifique). Desolneux has been published widely, most notably she contributed to From Gestalt Theory to Image Analysis: A Probabilistic Approach, Interdisciplinary Applied Mathematics, vol. 34, 2008.



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