Probabilistic Graphical Model for Computer Vision

In a probabilistic model, a rare event is an event with a very small probability of occurrence. The forecasting of rare events is a formidable task but is important in many areas. For instance a catas

Mathematical modelling of physical and chemical systems is used extensively throughout science, engineering, and applied mathematics. To use mathematical models, one needs solutions to the model equations; this generally requires numerical methods. This book presents numerical methods and associated computer code in Matlab for the solution of a spectrum of models expressed as partial differential equations (PDEs). The authors focus on the method of lines (MOL), a well-established procedure for all major classes of PDEs, where the boundary value partial derivatives are approximated algebraically by finite differences. This reduces the PDEs to ordinary differential equations (ODEs) and makes the computer code easy to understand, implement, and modify. Also, the ODEs (via MOL) can be combined with any other ODEs that are part of the model (so that MOL naturally accommodates ODE/PDE models). This book uniquely includes a detailed line-by-line discussion of computer code related to the ass

Text-to-Speech Synthesis provides a complete, end-to-end account of the process of generating speech by computer. Giving an in-depth explanation of all aspects of current speech synthesis technology, it assumes no specialised prior knowledge. Introductory chapters on linguistics, phonetics, signal processing and speech signals lay the foundation, with subsequent material explaining how this knowledge is put to use in building practical systems that generate speech. Including coverage of the very latest techniques such as unit selection, hidden Markov model synthesis, and statistical text analysis, explanations of the more traditional techniques such as format synthesis and synthesis by rule are also provided. Weaving together the various strands of this multidisciplinary field, the book is designed for graduate students in electrical engineering, computer science, and linguistics. It is also an ideal reference for practitioners in the fields of human communication interaction and telep

Introduction to digital imaging covering core techniques of image capture and the display of monochrome and color images. Basic tools required to describe sampling and image display on real devices are presented within a powerful mathematical framework. Starting with an overview of digital imaging, mathematical representation, and the elementary display of images, the topics progressively move to quantization, spatial sampling, photometry and colorimetry, and color sampling, and conclude with the estimation of image model parameters, and image restoration. The characterization of input and output devices is also covered. The reader will learn the processes used to generate accurate images, and appreciate the mathematical basis required to test and evaluate new devices. Contains illustrations, real-world examples, and end-of-chapter homework problems. Suitable for advanced undergraduate and graduate courses in digital imaging in electrical engineering and computer science departments.

Social network analysis maps relationships and transactions between people and groups. This text was the first book-length application of this method to the ancient world, using the abundant documentary evidence from sixth-century Oxyrhynchos and Aphrodito in Egypt. Professor Ruffini combines a prosopographical survey of both sites with computer analyses of the topographical and social networks in their papyri. He thereby uncovers hierarchical social structures in Oxyrhynchos not present in Aphrodito, and is able for the first time to trace the formation of the famous Apion estate. He can also use quantitative techniques to locate the central players in the Aphrodito social landscape, allowing us to see past the family of Dioskoros to discover the importance of otherwise unknown figures. He argues that the apparent social differences between Oxyrhynchos and Aphrodito in fact represent different levels of geographic scale, both present within the same social model.

An ideal introduction for those starting out as practitioners of mathematical finance, this book provides a clear understanding of the intuition behind derivatives pricing, how models are implemented, and how they are used and adapted in practice. Strengths and weaknesses of different models, e.g. Black–Scholes, stochastic volatility, jump-diffusion and variance gamma, are examined. Both the theory and the implementation of the industry-standard LIBOR market model are considered in detail. Each pricing problem is approached using multiple techniques including the well-known PDE and martingale approaches. This second edition contains many more worked examples and over 200 exercises with detailed solutions. Extensive appendices provide a guide to jargon, a recap of the elements of probability theory, and a collection of computer projects. The author brings to this book a blend of practical experience and rigorous mathematical background and supplies here the working knowledge needed to b

Acclaimed architect Renzo Piano's vision for the new California Academy of Sciences is one of hope and grand ambition: to create a model for sustainable design at an unprecedented scale. This is the

Bayesian probability theory has emerged not only as a powerful tool for building computational theories of vision, but also as a general paradigm for studying human visual perception. This 1996 book provides an introduction to and critical analysis of the Bayesian paradigm. Leading researchers in computer vision and experimental vision science describe general theoretical frameworks for modelling vision, detailed applications to specific problems and implications for experimental studies of human perception. The book provides a dialogue between different perspectives both within chapters, which draw on insights from experimental and computational work, and between chapters, through commentaries written by the contributors on each others' work. Students and researchers in cognitive and visual science will find much to interest them in this thought-provoking collection.

The questions of how a large population of neurons in the brain functions, how synchronized firing of neurons is achieved, and what factors regulate how many and which neurons fire under different conditions form the central theme of this book. Using a combined experimental-theoretical approach unique in neuroscience, the authors present important techniques for the physiological reconstruction of a large biological neuronal network. They begin by discussing experimental studies of the CA3 hippocampal region in vitro, focusing on single-cell and synaptic electrophysiology, particularly the effects a single neuron exerts on its neighbours. This is followed by a description of a computer model of the system, first for individual cells then for the entire detailed network, and the model is compared with experiments under a variety of conditions. The results shed significant light into the mechanisms of epilepsy, electroencephalograms, and biological oscillations and provide an excellent t

Complexity theory is a central field of the theoretical foundations of computer science. It is concerned with the general study of the intrinsic complexity of computational tasks; that is, it addresses the question of what can be achieved within limited time (and/or with other limited natural computational resources). This book offers a conceptual perspective on complexity theory. It is intended to serve as an introduction for advanced undergraduate and graduate students, either as a textbook or for self-study. The book will also be useful to experts, since it provides expositions of the various sub-areas of complexity theory such as hardness amplification, pseudorandomness and probabilistic proof systems. In each case, the author starts by posing the intuitive questions that are addressed by the sub-area and then discusses the choices made in the actual formulation of these questions, the approaches that lead to the answers, and the ideas that are embedded in these answers.

Stars form surrounded by a circumstellar disk which is thought to be the cradle of planets. IAU Symposium 243 highlights the latest developments in understanding the structure and evolution of the star-disk interaction region in young stars, a critical component of our knowledge of star and planetary system formation processes. Discussions review the physical processes thought to be at work at the star-disk interface, confront the predictions of the latest numerical and analytical magnetohydrodynamic models of star-disk-jet systems with observations, and explore the consequences of these processes for stellar angular momentum evolution and inner disk structure. The most recent observational results, computer simulations and theoretical developments in this active field of research are included to provide a unique vision into this central aspect of the star and planet formation problem.

This book explores the intersections between Victorian literature, painting and photography. Taking as a starting point mid-nineteenth-century developments in the understanding of visual perception, Lindsay Smith examines the representation of a pervasive desire for a literal understanding of the process of seeing and perceiving. This is played out in the aesthetic theory of John Ruskin, the early poetry of William Morris, paintings of the Pre-Raphaelites, and in the photographic technique of combination printing. She demonstrates how the novel presence of the camera in nineteenth-century culture not only transforms acts of looking, but also affects major social, aesthetic and philosophical categories. By exploring the intricacies of photographic discourse she shows how Ruskin and Morris produce a critique of the earlier Cartesian perspectival model of vision.

The winner of the Nobel Peace Prize outlines his vision for a new business model that combines the power of free markets with the quest for a more humane world—and tells the inspiring stori

Schemas in Problem Solving explores a theory of schema development and studies the applicability of the theory as a unified basis for understanding learning, instruction and assessment. The theory's prescriptions for teaching are direct, and its application to assessment suggests new directions for tests. After examining the roots of the theory in earlier work by philosophers and psychologists, Marshall illustrates the main features of her theory with experimental evidence from students who are learning to recognize and solve arithmetic story problems. She describes individual performance with traditional empirical studies as well as computer simulation. The computer simulation reflects an approach in modelling cognition. Marshall's model links neural networks with symbolic systems to form a hybrid model that uses pattern matching of sets of features as well as logical step-by-step rules.

What is happening to the climate? Climate Change 2007 - The Physical Science Basis is the most comprehensive and up-to-date scientific assessment of past, present and future climate change. This report has been produced by some 600 authors from 40 countries, over 620 experts and a large number of government reviewers. Providing insights into the effects of human activity on the atmosphere, and containing an evaluation of observed climatic changes using the latest measurement techniques, the report also includes a detailed review of climate change observations and modelling for every continent as well as the first probabilistic evaluation of climate model simulations. Simply put, this latest summary from the IPCC forms the standard scientific reference for all those concerned with climate change and its consequences, including students and researchers in environmental science, meteorology, climatology, biology, ecology and atmospheric chemistry, and policy makers in governments and indu

Beyond Microfoundations discusses the foundations for a post-Walrasian macroeconomics and, in doing so, carries the work of Robert Clower and Axel Leijonhufvud to the present. This book spells out both why an alternative approach to macro is needed, and what the essence of the approach will be. This post-Walrasian approach to macro is neither Keynesian nor Classical, both of which have Walrasian foundations, but it offers an approach to macro in which Walrasian economics is turned on its head. Specifically, it rejects the Walrasian ad hoc assumptions of the existence of a unique equilibrium and of simple dynamics. That rejection leads one to a fundamentally different conception of macro than most macroeconomics have implicit in their formal model. Post-Walrasian macroeconomics offers a vision of macro in which micro foundations devoid of an explicit macro context have no place, but one in which institutions have a fundamental role. Post-Walrasian macroeconomics provides a foundation f

There is a growing need for a more automated system of partitioning data sets into groups, or clusters. For example, digital libraries and the World Wide Web continue to grow exponentially, the ability to find useful information increasingly depends on the indexing infrastructure or search engine. Clustering techniques can be used to discover natural groups in data sets and to identify abstract structures that might reside there, without having any background knowledge of the characteristics of the data. Clustering has been used in a variety of areas, including computer vision, VLSI design, data mining, bio-informatics (gene expression analysis), and information retrieval, to name just a few. This book focuses on a few of the most important clustering algorithms, providing a detailed account of these major models in an information retrieval context. The beginning chapters introduce the classic algorithms in detail, while the later chapters describe clustering through divergences and sh

Many aspects of the internal and external workings of computers can be viewed as a series of communication processes. Communication complexity is the mathematical theory of such communication processes. It is also often used as an abstract model of other aspects of computation. This book surveys this mathematical theory, concentrating on the question of how much communication is necessary for any particular process. The first part of the book is devoted to the simple two-party model introduced by Yao in 1979, which is still the most widely studied model. The second part treats newer models developed to deal with more complicated communication processes. Finally, applications of these models, including computer networks, VLSI circuits, and data structures, are treated in the third part of the book. This is an essential resource for graduate students and researchers in theoretical computer science, circuits, networks and information theory.

This study of Defoe's politics aims to challenge the critical demand to see Defoe as a 'modern' and to counter misrepresentations of his political writings by restoring them to their seventeenth-century context. Offering a full examination of Defoe's years as a political reporter and journalist (1689–1715), it recovers his traditional, conservative and anti-Lockean ideas on contemporary issues: the origins of society, the role of the people in the establishment of a political society and how monarchies are created and maintained as the means of achieving a beneficent political order. At the heart of Defoe's political imagination, Manuel Schonhorn finds the vision of a warrior-king, derived from sources in the Bible and in ancient and English history. This model illuminates his original reading of Defoe's greatest political fiction, Robinson Crusoe, which emerges less in terms of a family romance, a tract for the rising bourgeoisie or a Lockean parable of government, than as a dramatic

SuperFractals, first published in 2006, is the successor to Fractals Everywhere, in which the power and beauty of Iterated Function Systems were introduced and applied to producing startling and original images that reflect complex structures found for example in nature. This provoked the question of whether there is a deeper connection between topology, geometry, IFS and codes on the one hand and biology, DNA and protein development on the other. Now, 20 years later, Barnsley explains how IFS have developed in order to address this issue. Ideas such as fractal tops and superIFS are introduced, and the classical deterministic approach is combined with probabilistic ideas to produce new mathematics and algorithms that open a whole theory that could have applications in computer graphics, bioinformatics, economics, signal processing and beyond. For the first time these ideas are explained in book form, and illustrated with breathtaking pictures.

This important text and reference for researchers and students in machine learning, game theory, statistics and information theory offers a comprehensive treatment of the problem of predicting individual sequences. Unlike standard statistical approaches to forecasting, prediction of individual sequences does not impose any probabilistic assumption on the data-generating mechanism. Yet, prediction algorithms can be constructed that work well for all possible sequences, in the sense that their performance is always nearly as good as the best forecasting strategy in a given reference class. The central theme is the model of prediction using expert advice, a general framework within which many related problems can be cast and discussed. Repeated game playing, adaptive data compression, sequential investment in the stock market, sequential pattern analysis, and several other problems are viewed as instances of the experts' framework and analyzed from a common nonstochastic standpoint that o

This book provides an introduction to the use of geometric partial differential equations in image processing and computer vision. This research area brings a number of new concepts into the field, providing a very fundamental and formal approach to image processing. State-of-the-art practical results in a large number of real problems are achieved with the techniques described in this book. Applications covered include image segmentation, shape analysis, image enhancement, and tracking. This book will be a useful resource for researchers and practitioners. It is intended to provide information for people investigating new solutions to image processing problems as well as for people searching for existent advanced solutions.

Through detailed examination of a wide variety of novels, plays, sermons, songs, popular engravings, portraiture, and propaganda from the period, Toni Bowers examines the eighteenth-century struggle to develop new ideals for virtuous womanhood. She shows how popular representations of mothers codified and enforced a model of motherhood naturally and inevitably, removed from participation in the public world, and presented other ideals as monstrous. At the same time, she points out, some of the most influential texts resisted the newly reduced vision of maternal excellence by imagining alternatives to domesticity and dependence. Addressing broader social and cultural issues, and drawing radical comparisons between past and present, Bowers argues that Western culture continues to be limited by its commitment to the contradictory maternal ideals established in eighteenth-century discourse.

Computer vision is a rapidly growing field which aims to make computers 'see' as effectively as humans. In this book Dr Shapiro presents a new computer vision framework for interpreting time-varying imagery. This is an important task, since movement reveals valuable information about the environment. The fully-automated system operates on long, monocular image sequences containing multiple, independently-moving objects, and demonstrates the practical feasibility of recovering scene structure and motion in a bottom-up fashion. Real and synthetic examples are given throughout, with particular emphasis on image coding applications. Novel theory is derived in the context of the affine camera, a generalisation of the familiar scaled orthographic model. Analysis proceeds by tracking 'corner features' through successive frames and grouping the resulting trajectories into rigid objects using new clustering and outlier rejection techniques. The three-dimensional motion parameters are then compu

How the cerebellum accomplishes its highly complex feats of coordination has been the subject of much inquiry; one of the pre-eminent theories places adaptive control at the forefront. This book reinforces the view that the cerebellum functions as an adaptive control system; that is, it automatically adjusts its output as needed for such eventualities as temporary or lasting weakness of muscle. It is the first text to synthesize the substantial body of literature on the subject, combining the neuroscience of the cerebellum with the science of control theory common to electrical and computer engineers. Organized in four parts, the book examines cerebellar anatomy and physiology; cerebellar function; models and theories; and ends with a summary and conclusions. The author's clinical perspective offers a broader view of cerebellar function beyond the basic neuroscience. An appendix demonstrates evidence supporting the adaptive control model from a detailed comparison of the cerebellum wit

The boreal forests of the world, geographically situated to the south of the Arctic and generally north of latitude 50 degrees, are considered to be one of the earth's most significant terrestrial ecosystems in terms of their potential for interaction with other global scale systems, such as climate and anthropologenic activity. This book, developed by an international panel of ecologists, provides a synthesis of the important patterns and processes which occur in boreal forests and reviews the principal mechanisms which control the forests' pattern in space and time. The effects of cold temperatures, soil ice, insects, plant competition, wildfires and climatic change on the boreal forests are discussed as a basis for the development of the first global scale computer model of the dynamical change of a biome, able to project the change of the boreal forest over timescales of decades to millennia, and over the global extent of this forest.

This is the first Visual Basic.NET book to provide a comprehensive discussion of the major data structures and algorithms. Here, instead of having to translate material on C++ or Java, the professional or student VB.NET programmer will find a tutorial on how to use data structures and algorithms and a reference for implementation using VB.NET for data structures and algorithms from the .NET Framework Class Library as well as those which must be developed by the programmer. In an object-oriented fashion, the author presents arrays and arraylists, linked lists, hash tables, dictionaries, trees, graphs, sorting and searching as well as more advanced algorithms, such as probabilistic algorithms and dynamic programming. His approach is very practical, for example using timing tests rather than Big O analysis to compare the performance of data structures and algorithms. This book can be used in both beginning and advanced computer programming courses that use the VB.NET language and, most im

In online computation a computer algorithm must decide how to act on incoming items of information without any knowledge of future inputs. How should it route the next telephone call? Where in memory should it store a just-closed record? This book provides an in-depth presentation of competitive analysis, an attractive framework within which such problems can be analyzed and solved. In this framework, the quality of an algorithm is measured relative to the best possible performance of an algorithm that has complete knowledge of the future. This methodology for the analysis of online decision making has become a standard approach in computer science. Starting with the basic definitions of the competitive analysis model, the authors present most of the essential techniques through various examples, some of which are among the central problems of the field, such as list accessing, paging in a virtual memory system, routing in a communication network, metrical task systems, k-server system

This unique textbook provides the foundation for understanding and applying techniques commonly used in geophysics to process and interpret modern digital data. The geophysicist's toolkit contains a range of techniques which may be divided into two main groups: processing, which concerns time series analysis and is used to separate the signal of interest from background noise; and inversion, which involves generating some map or physical model from the data. These two groups of techniques are normally taught separately, but are here presented together as parts I and II of the book. Part III describes some real applications and includes case studies in seismology, geomagnetism, and gravity. This textbook gives students and practitioners the theoretical background and practical experience, through case studies, computer examples and exercises, to understand and apply new processing methods to modern geophysical datasets. Solutions to the exercises are available on a website at http://pub

This unique textbook provides the foundation for understanding and applying techniques commonly used in geophysics to process and interpret modern digital data. The geophysicist's toolkit contains a range of techniques which may be divided into two main groups: processing, which concerns time series analysis and is used to separate the signal of interest from background noise; and inversion, which involves generating some map or physical model from the data. These two groups of techniques are normally taught separately, but are here presented together as parts I and II of the book. Part III describes some real applications and includes case studies in seismology, geomagnetism, and gravity. This textbook gives students and practitioners the theoretical background and practical experience, through case studies, computer examples and exercises, to understand and apply new processing methods to modern geophysical datasets. Solutions to the exercises are available on a website at http://pub

Quantum mechanics is one of the most fundamental yet difficult subjects in physics. Nonrelativistic quantum theory is presented here in a clear and systematic fashion, integrating Born's probabilistic interpretation with Schrödinger dynamics. Basic quantum principles are illustrated with simple examples requiring no mathematics beyond linear algebra and elementary probability theory. The quantum measurement process is consistently analyzed using fundamental quantum principles without referring to measurement. These same principles are used to resolve several of the paradoxes that have long perplexed physicists, including the double slit and Schrödinger's cat. The consistent histories formalism used here was first introduced by the author, and extended by M. Gell-Mann, J. Hartle and R. Omnès. Essential for researchers yet accessible to advanced undergraduate students in physics, chemistry, mathematics, and computer science, this book is supplementary to standard textbooks. It will also

How the cerebellum accomplishes its highly complex feats of coordination has been the subject of much inquiry; one of the pre-eminent theories places adaptive control at the forefront. This book reinforces the view that the cerebellum functions as an adaptive control system; that is, it automatically adjusts its output as needed for such eventualities as temporary or lasting weakness of muscle. It is the first text to synthesize the substantial body of literature on the subject, combining the neuroscience of the cerebellum with the science of control theory common to electrical and computer engineers. Organized in four parts, the book examines cerebellar anatomy and physiology; cerebellar function; models and theories; and ends with a summary and conclusions. The author's clinical perspective offers a broader view of cerebellar function beyond the basic neuroscience. An appendix demonstrates evidence supporting the adaptive control model from a detailed comparison of the cerebellum wit

A textbook for a graduate course in computer simulation for students with a basic background in differential equations, numerical analysis, and FORTRAN programming. It explains how to model environmen

Felix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple coexisting symmetries. For a century, these images barely existed outside the imagination of mathematicians. However, in the 1980s, the authors embarked on the first computer exploration of Klein's vision, and in doing so found many further extraordinary images. Join the authors on the path from basic mathematical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can follow the step-by-step instructions for writing programs that generate the images. Others can see how the images relate to ideas at the forefront of research.

Since the first attempts to model proteins on a computer began almost thirty years ago, our understanding of protein structure and dynamics has dramatically increased. Spectroscopic measurement techni

Mathematical modeling and computer simulation are useful tools for improving materials processing. While courses in materials processing have covered modeling, they have traditionally been devoted to one particular class of materials, that is, polymers, metals, or ceramics. This text offers a different approach, presenting an integrated treatment of metallic and non-metallic materials. The authors show that a common base of knowledge - specifically, the fundamentals of heat transfer and fluid mechanics - provides a unifying theme for these seemingly disparate areas. Emphasis is placed on understanding basic physical phenomena and knowing how to include them in a model. The book also treats selected numerical methods, showing the relationship between the physical system, analytical solution, and the numerical scheme. A wealth of practical, realistic examples are provided, as well as homework exercises. Students, and practising engineers who must deal with a wide variety of materials a

A systematic and comprehensive introduction to the study of nonlinear dynamical systems, in both discrete and continuous time, for nonmathematical students and researchers working in applied fields. An understanding of linear systems and the classical theory of stability are essential although basic reviews of the relevant material are provided. Further chapters are devoted to the stability of invariant sets, bifurcation theory, chaotic dynamics and the transition to chaos. In the final two chapters the authors approach the subject from a measure-theoretical point of view and compare results to those given for the geometrical or topological approach of the first eight chapters. Includes about one hundred exercises. A Windows-compatible software programme called DMC, provided free of charge through a website dedicated to the book, allows readers to perform numerical and graphical analysis of dynamical systems. Also available on the website are computer exercises and solutions to selecte

A systematic and comprehensive introduction to the study of nonlinear dynamical systems, in both discrete and continuous time, for nonmathematical students and researchers working in applied fields. An understanding of linear systems and the classical theory of stability are essential although basic reviews of the relevant material are provided. Further chapters are devoted to the stability of invariant sets, bifurcation theory, chaotic dynamics and the transition to chaos. In the final two chapters the authors approach the subject from a measure-theoretical point of view and compare results to those given for the geometrical or topological approach of the first eight chapters. Includes about one hundred exercises. A Windows-compatible software programme called DMC, provided free of charge through a website dedicated to the book, allows readers to perform numerical and graphical analysis of dynamical systems. Also available on the website are computer exercises and solutions to selecte

With Reaching Readers, they offer a second-generation model of guided reading - one that urges teachers to expand their vision and presents alternative practices.

In this second edition of the now classic text, the already extensive treatment given in the first edition has been heavily revised by the author. The addition of two new sections, numerous new results and 150 references means that this represents a comprehensive account of random graph theory. The theory (founded by Erdös and Rényi in the late fifties) aims to estimate the number of graphs of a given degree that exhibit certain properties. It not only has numerous combinatorial applications, but also serves as a model for the probabilistic treatment of more complicated random structures. This book, written by an acknowledged expert in the field, can be used by mathematicians, computer scientists and electrical engineers, as well as people working in biomathematics. It is self-contained, and with numerous exercises in each chapter, is ideal for advanced courses or self study.