Elements of Pattern Theory

Elements of Pattern Theory
Author: Ulf Grenander
Publisher: JHU Press
Total Pages: 258
Release: 1996
Genre: Mathematics
ISBN: 9780801851889

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"A dazzling tour de force on patterns. It is a substantial, original contribution by a leader-indeed, originator-in the field, and has the potential for significant impact on the direction of future research." -- Alan F. Karr, National Institute of Statistical Sciences

Pattern Theory

Pattern Theory
Author: Ulf Grenander
Publisher: OUP Oxford
Total Pages: 636
Release: 2006-12-14
Genre: Technology & Engineering
ISBN: 0191523119

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Pattern Theory: From Representation to Inference provides a comprehensive and accessible overview of the modern challenges in signal, data and pattern analysis in speech recognition, computational linguistics, image analysis and computer vision. Aimed at graduate students in biomedical engineering, mathematics, computer science and electrical engineering with a good background in mathematics and probability, the text includes numerous exercises and an extensive bibliography. Additional resources including extended proofs, selected solutions and examples are available on a companion website. The book commences with a short overview of pattern theory and the basics of statistics and estimation theory. Chapters 3-6 discuss the role of representation of patterns via conditioning structure and Chapters 7 and 8 examine the second central component of pattern theory: groups of geometric transformation applied to the representation of geometric objects. Chapter 9 moves into probabilistic structures in the continuum, studying random processes and random fields indexed over subsets of Rn, and Chapters 10, 11 continue with transformations and patterns indexed over the continuum. Chapters 12-14 extend from the pure representations of shapes to the Bayes estimation of shapes and their parametric representation. Chapters 15 and 16 study the estimation of infinite dimensional shape in the newly emergent field of Computational Anatomy, and finally Chapters 17 and 18 look at inference, exploring random sampling approaches for estimation of model order and parametric representing of shapes.

Pattern Theory

Pattern Theory
Author: Ulf Grenander
Publisher: Oxford University Press
Total Pages: 633
Release: 2007
Genre: Computers
ISBN: 0198505701

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Pattern Theory provides a comprehensive and accessible overview of the modern challenges in signal, data, and pattern analysis in speech recognition, computational linguistics, image analysis and computer vision. Aimed at graduate students in biomedical engineering, mathematics, computer science, and electrical engineering with a good background in mathematics and probability, the text includes numerous exercises and an extensive bibliography. Additional resources including extended proofs, selected solutions and examples are available on a companion website. The book commences with a short overview of pattern theory and the basics of statistics and estimation theory. Chapters 3-6 discuss the role of representation of patterns via condition structure. Chapters 7 and 8 examine the second central component of pattern theory: groups of geometric transformation applied to the representation of geometric objects. Chapter 9 moves into probabilistic structures in the continuum, studying random processes and random fields indexed over subsets of Rn. Chapters 10 and 11 continue with transformations and patterns indexed over the continuum. Chapters 12-14 extend from the pure representations of shapes to the Bayes estimation of shapes and their parametric representation. Chapters 15 and 16 study the estimation of infinite dimensional shape in the newly emergent field of Computational Anatomy. Finally, Chapters 17 and 18 look at inference, exploring random sampling approaches for estimation of model order and parametric representing of shapes.

A Pattern Language

A Pattern Language
Author: Christopher Alexander
Publisher: Oxford University Press
Total Pages:
Release: 2018-09-20
Genre: Architecture
ISBN: 0190050357

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You can use this book to design a house for yourself with your family; you can use it to work with your neighbors to improve your town and neighborhood; you can use it to design an office, or a workshop, or a public building. And you can use it to guide you in the actual process of construction. After a ten-year silence, Christopher Alexander and his colleagues at the Center for Environmental Structure are now publishing a major statement in the form of three books which will, in their words, "lay the basis for an entirely new approach to architecture, building and planning, which will we hope replace existing ideas and practices entirely." The three books are The Timeless Way of Building, The Oregon Experiment, and this book, A Pattern Language. At the core of these books is the idea that people should design for themselves their own houses, streets, and communities. This idea may be radical (it implies a radical transformation of the architectural profession) but it comes simply from the observation that most of the wonderful places of the world were not made by architects but by the people. At the core of the books, too, is the point that in designing their environments people always rely on certain "languages," which, like the languages we speak, allow them to articulate and communicate an infinite variety of designs within a forma system which gives them coherence. This book provides a language of this kind. It will enable a person to make a design for almost any kind of building, or any part of the built environment. "Patterns," the units of this language, are answers to design problems (How high should a window sill be? How many stories should a building have? How much space in a neighborhood should be devoted to grass and trees?). More than 250 of the patterns in this pattern language are given: each consists of a problem statement, a discussion of the problem with an illustration, and a solution. As the authors say in their introduction, many of the patterns are archetypal, so deeply rooted in the nature of things that it seemly likely that they will be a part of human nature, and human action, as much in five hundred years as they are today.

Mathematics as a Science of Patterns

Mathematics as a Science of Patterns
Author: Michael D. Resnik
Publisher: Oxford University Press
Total Pages: 300
Release: 1997
Genre: Mathematics
ISBN: 9780198236085

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Resnik expresses his commitment to a structuralist philosophy of mathematics and links this to a defence of realism about the metaphysics of mathematics - the view that mathematics is about things that really exist.

Information Theory in Computer Vision and Pattern Recognition

Information Theory in Computer Vision and Pattern Recognition
Author: Francisco Escolano Ruiz
Publisher: Springer Science & Business Media
Total Pages: 375
Release: 2009-07-14
Genre: Computers
ISBN: 1848822979

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Information theory has proved to be effective for solving many computer vision and pattern recognition (CVPR) problems (such as image matching, clustering and segmentation, saliency detection, feature selection, optimal classifier design and many others). Nowadays, researchers are widely bringing information theory elements to the CVPR arena. Among these elements there are measures (entropy, mutual information...), principles (maximum entropy, minimax entropy...) and theories (rate distortion theory, method of types...). This book explores and introduces the latter elements through an incremental complexity approach at the same time where CVPR problems are formulated and the most representative algorithms are presented. Interesting connections between information theory principles when applied to different problems are highlighted, seeking a comprehensive research roadmap. The result is a novel tool both for CVPR and machine learning researchers, and contributes to a cross-fertilization of both areas.

The Pattern Seekers

The Pattern Seekers
Author: Simon Baron-Cohen
Publisher: Basic Books
Total Pages: 245
Release: 2020-11-10
Genre: Psychology
ISBN: 1541647130

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A groundbreaking argument about the link between autism and ingenuity. Why can humans alone invent? In The Pattern Seekers, Cambridge University psychologist Simon Baron-Cohen makes a case that autism is as crucial to our creative and cultural history as the mastery of fire. Indeed, Baron-Cohen argues that autistic people have played a key role in human progress for seventy thousand years, from the first tools to the digital revolution. How? Because the same genes that cause autism enable the pattern seeking that is essential to our species's inventiveness. However, these abilities exact a great cost on autistic people, including social and often medical challenges, so Baron-Cohen calls on us to support and celebrate autistic people in both their disabilities and their triumphs. Ultimately, The Pattern Seekers isn't just a new theory of human civilization, but a call to consider anew how society treats those who think differently.

Pattern Recognition

Pattern Recognition
Author: William Gibson
Publisher: Penguin UK
Total Pages: 419
Release: 2004-06-24
Genre: Fiction
ISBN: 0141904461

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'Part-detective story, part-cultural snapshot . . . all bound by Gibson's pin-sharp prose' Arena -------------- THE FIRST NOVEL IN THE BLUE ANT TRILIOGY - READ ZERO HISTORY AND SPOOK COUNTRY FOR MORE Cayce Pollard has a new job. She's been offered a special project: track down the makers of an addictive online film that's lighting up the internet. Hunting the source will take her to Tokyo and Moscow and put her in the sights of Japanese hackers and Russian Mafia. She's up against those who want to control the film, to own it - who figure breaking the law is just another business strategy. The kind of people who relish turning the hunter into the hunted . . . A gripping spy thriller by William Gibson, bestselling author of Neuromancer. Part prophesy, part satire, Pattern Recognition skewers the absurdity of modern life with the lightest and most engaging of touches. Readers of Neal Stephenson, Ray Bradbury and Iain M. Banks won't be able to put this book down. -------------- 'Fast, witty and cleverly politicized' Guardian 'A big novel, full of bold ideas . . . races along like an expert thriller' GQ 'Dangerously hip. Its dialogue and characterization will amaze you. A wonderfully detailed, reckless journey of espionage and lies' USA Today 'A compelling, humane story with a sympathetic heroine searching for meaning and consolation in a post-everything world' Daily Telegraph 'Electric, profound. Gibson's descriptions of Tokyo, Russia and London are surreally spot-on' Financial Times

A Probabilistic Theory of Pattern Recognition

A Probabilistic Theory of Pattern Recognition
Author: Luc Devroye
Publisher: Springer Science & Business Media
Total Pages: 631
Release: 2013-11-27
Genre: Mathematics
ISBN: 1461207118

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A self-contained and coherent account of probabilistic techniques, covering: distance measures, kernel rules, nearest neighbour rules, Vapnik-Chervonenkis theory, parametric classification, and feature extraction. Each chapter concludes with problems and exercises to further the readers understanding. Both research workers and graduate students will benefit from this wide-ranging and up-to-date account of a fast- moving field.