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Author: Ulf Grenander
Publisher:
ISBN: 9781383025934
Category : Pattern perception
Languages : en
Pages : 0
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Book Description
Author: Ulf Grenander
Publisher:
ISBN: 9781383025934
Category : Pattern perception
Languages : en
Pages : 0
Get Book Here
Book Description
Author: Ulf Grenander
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 936
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Book Description
The aim of pattern theory is to create mathematical knowledge representations of complex systems, analyse the mathematical properties of the resulting regular structures, and to apply them to practically occuring patterns in nature and the man-made world. Starting from an algebraic formulation of such representations they are studied in terms of their topological, dynamical and probabilistic aspects. Patterns are expressed through their typical behaviour as well as through their variability around their typical form. Employing the representations (regular structures) algorithms are derived for the understanding, recognition, and restoration of observed patterns. The algorithms are investigated through computer experiments.
Author: Ulf Grenander
Publisher: Oxford University Press
ISBN: 0198505701
Category : Computers
Languages : en
Pages : 633
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Book Description
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.
Author: Helmut Leitner
Publisher: Createspace Independent Publishing Platform
ISBN: 9781505637434
Category : Architecture and philosophy
Languages : en
Pages : 0
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Book Description
This book "Pattern Theory" summarizes the work of an important contemporary thinker, the architect and systems theorist Christopher Alexander, an emeritus professor at the University of Berkeley, California. In 1979 one of his books, "A Pattern Language", an 1100-page-essay on architecture and human life, became a non-fiction best seller that attracted half a million readers and continues to inspire people from many disciplines. The still broader four-volume essay "The Nature of Order" was published 2002-2004 as magnum opus. The life work of Alexander is outstanding. He develops a general theory of living systems, a systems theory based on the concepts center, wholeness and transformation by using design patterns and pattern languages as parts of the method. There is a whole new cosmos of thinking with astonishing bandwidth: Alexander suggests a new scientific paradigm that stands in opposition to the traditional causal mechanistic paradigm of natural science - and he offers a new knowledge format as a way to enable people and support their participation in design processes.Alexander's theories have already proven useful in education, organizational development, permaculture, and in software the design patterns have even become mainstream. Many disciplines are about to follow in this development. Pattern theory allows us to change our thinking, to rethink our world and to move towards a fairer society. This leads to more participation and higher sustainability. Alexander's concepts form a mental toolbox for societal change and innovation.
Author: Christopher Alexander
Publisher: Oxford University Press
ISBN: 0190050357
Category : Architecture
Languages : en
Pages : 1216
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Book Description
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.
Author: Luc Devroye
Publisher: Springer Science & Business Media
ISBN: 1461207118
Category : Mathematics
Languages : en
Pages : 631
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Book Description
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.
Author: Ulf Grenander
Publisher:
ISBN: 9783540901747
Category : Pattern perception
Languages : en
Pages : 509
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Book Description
Author: Gernot A. Fink
Publisher: Springer Science & Business Media
ISBN: 1447163087
Category : Computers
Languages : en
Pages : 275
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Book Description
This thoroughly revised and expanded new edition now includes a more detailed treatment of the EM algorithm, a description of an efficient approximate Viterbi-training procedure, a theoretical derivation of the perplexity measure and coverage of multi-pass decoding based on n-best search. Supporting the discussion of the theoretical foundations of Markov modeling, special emphasis is also placed on practical algorithmic solutions. Features: introduces the formal framework for Markov models; covers the robust handling of probability quantities; presents methods for the configuration of hidden Markov models for specific application areas; describes important methods for efficient processing of Markov models, and the adaptation of the models to different tasks; examines algorithms for searching within the complex solution spaces that result from the joint application of Markov chain and hidden Markov models; reviews key applications of Markov models.
Author: J. A. Scott Kelso
Publisher: MIT Press
ISBN: 9780262611312
Category : Behavior
Languages : en
Pages : 368
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Book Description
foreword by Hermann Haken For the past twenty years Scott Kelso's research has focused on extending the physical concepts of self- organization and the mathematical tools of nonlinear dynamics to understand how human beings (and human brains) perceive, intend, learn, control, and coordinate complex behaviors. In this book Kelso proposes a new, general framework within which to connect brain, mind, and behavior.Kelso's prescription for mental life breaks dramatically with the classical computational approach that is still the operative framework for many newer psychological and neurophysiological studies. His core thesis is that the creation and evolution of patterned behavior at all levels--from neurons to mind--is governed by the generic processes of self-organization. Both human brain and behavior are shown to exhibit features of pattern-forming dynamical systems, including multistability, abrupt phase transitions, crises, and intermittency. Dynamic Patterns brings together different aspects of this approach to the study of human behavior, using simple experimental examples and illustrations to convey essential concepts, strategies, and methods, with a minimum of mathematics. Kelso begins with a general account of dynamic pattern formation. He then takes up behavior, focusing initially on identifying pattern-forming instabilities in human sensorimotor coordination. Moving back and forth between theory and experiment, he establishes the notion that the same pattern-forming mechanisms apply regardless of the component parts involved (parts of the body, parts of the nervous system, parts of society) and the medium through which the parts are coupled. Finally, employing the latest techniques to observe spatiotemporal patterns of brain activity, Kelso shows that the human brain is fundamentally a pattern forming dynamical system, poised on the brink of instability. Self-organization thus underlies the cooperative action of neurons that produces human behavior in all its forms.
Author: The Council for Museums, Archives & Libraries
Publisher:
ISBN: 9780412388101
Category :
Languages : en
Pages :
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Book Description
