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Author: Ulf Grenander Publisher: ISBN: Category : Computers Languages : en Pages : 936
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: ISBN: Category : Computers Languages : en Pages : 936
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
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: Christopher Alexander Publisher: Oxford University Press ISBN: 0190050357 Category : Architecture Languages : en Pages : 1216
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: Helmut Leitner Publisher: Createspace Independent Publishing Platform ISBN: 9781505637434 Category : Architecture and philosophy Languages : en Pages : 0
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: Luc Devroye Publisher: Springer Science & Business Media ISBN: 1461207118 Category : Mathematics Languages : en Pages : 631
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: Howard Margolis Publisher: University of Chicago Press ISBN: 9780226505282 Category : Psychology Languages : en Pages : 348
Book Description
What happens when we think? How do people make judgments? While different theories abound—and are heatedly debated—most are based on an algorithmic model of how the brain works. Howard Margolis builds a fascinating case for a theory that thinking is based on recognizing patterns and that this process is intrinsically a-logical. Margolis gives a Darwinian account of how pattern recognition evolved to reach human cognitive abilities. Illusions of judgment—standard anomalies where people consistently misjudge or misperceive what is logically implied or really present—are often used in cognitive science to explore the workings of the cognitive process. The explanations given for these anomalous results have generally explained only the anomaly under study and nothing more. Margolis provides a provocative and systematic analysis of these illusions, which explains why such anomalies exist and recur. Offering empirical applications of his theory, Margolis turns to historical cases to show how an individual's cognitive repertoire—the available cognitive patterns and their relation to cues—changes or resists changes over time. Here he focuses on the change in worldview occasioned by the Copernican discovery: not only how an individual might come to see things in a radically new way, but how it is possible for that new view to spread and become the dominant one. A reanalysis of the trial of Galileo focuses on social cognition and its interactions with politics. In challenging the prevailing paradigm for understanding how the human mind works, Patterns, Thinking, and Cognition is certain to stimulate fruitful debate.
Author: Gernot A. Fink Publisher: Springer Science & Business Media ISBN: 1447163087 Category : Computers Languages : en Pages : 275
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: Horst Bunke Publisher: World Scientific ISBN: 9789971505660 Category : Computers Languages : en Pages : 568
Book Description
This book is currently the only one on this subject containing both introductory material and advanced recent research results. It presents, at one end, fundamental concepts and notations developed in syntactic and structural pattern recognition and at the other, reports on the current state of the art with respect to both methodology and applications. In particular, it includes artificial intelligence related techniques, which are likely to become very important in future pattern recognition.The book consists of individual chapters written by different authors. The chapters are grouped into broader subject areas like “Syntactic Representation and Parsing”, “Structural Representation and Matching”, “Learning”, etc. Each chapter is a self-contained presentation of one particular topic. In order to keep the original flavor of each contribution, no efforts were undertaken to unify the different chapters with respect to notation. Naturally, the self-containedness of the individual chapters results in some redundancy. However, we believe that this handicap is compensated by the fact that each contribution can be read individually without prior study of the preceding chapters. A unification of the spectrum of material covered by the individual chapters is provided by the subject and author index included at the end of the book.
Author: Simon Baron-Cohen Publisher: Basic Books ISBN: 1541647130 Category : Psychology Languages : en Pages : 245
Book Description
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.
Author: Ulf Grenander
Author: Ulf Grenander
Author: Ulf Grenander
Author: Christopher Alexander
Author: Helmut Leitner
Author: Luc Devroye
Author: Howard Margolis
Author: Ulf Grenander
Author: Gernot A. Fink
Author: Horst Bunke
Author: Simon Baron-Cohen