Sparse and Redundant Representations

Sparse and Redundant Representations

Author: Michael Elad

Publisher: Springer Science & Business Media

Published: 2010-08-12

Total Pages: 376

ISBN-13: 1441970118

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A long long time ago, echoing philosophical and aesthetic principles that existed since antiquity, William of Ockham enounced the principle of parsimony, better known today as Ockham’s razor: “Entities should not be multiplied without neces sity. ” This principle enabled scientists to select the ”best” physical laws and theories to explain the workings of the Universe and continued to guide scienti?c research, leadingtobeautifulresultsliketheminimaldescriptionlength approachtostatistical inference and the related Kolmogorov complexity approach to pattern recognition. However, notions of complexity and description length are subjective concepts anddependonthelanguage“spoken”whenpresentingideasandresults. The?eldof sparse representations, that recently underwent a Big Bang like expansion, explic itly deals with the Yin Yang interplay between the parsimony of descriptions and the “language” or “dictionary” used in them, and it became an extremely exciting area of investigation. It already yielded a rich crop of mathematically pleasing, deep and beautiful results that quickly translated into a wealth of practical engineering applications. You are holding in your hands the ?rst guide book to Sparseland, and I am sure you’ll ?nd in it both familiar and new landscapes to see and admire, as well as ex cellent pointers that will help you ?nd further valuable treasures. Enjoy the journey to Sparseland! Haifa, Israel, December 2009 Alfred M. Bruckstein vii Preface This book was originally written to serve as the material for an advanced one semester (fourteen 2 hour lectures) graduate course for engineering students at the Technion, Israel.


Am I a Redundant Human Being?

Am I a Redundant Human Being?

Author: Mela Hartwig

Publisher: Dalkey Archive Press

Published: 2010

Total Pages: 162

ISBN-13: 1564785815

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Aloisia Schmidt is an ordinary secretary with a burning question: am I a redundant human being? She's neither pretty nor ugly (though she wishes she were hideous: at least that would be something), has no imagination, and is forced to live vicariously through "borrowed" fantasy--fantasy, that is, borrowed from books, plays, even other people's lives. She loves to hate herself, and loves for other people to hate her too. In one final, guilt-ridden, masturbatory, self-obsessed confession, Aloisia indulges her masochistic tendencies to the fullest, putting her entire life on trial, and trying, through telling her story (a story, she assures us, that's "so laughably mundane" it's really no story at all), to transform an ordinary life into something extraordinary.


You Can Say That Again

You Can Say That Again

Author: Marcia Riefer Johnston

Publisher: Northwest Brainstorms Publishing

Published: 2015-04

Total Pages: 45

ISBN-13: 0985820349

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A light look at how we fill our writing, our speech, and our thoughts with needlessly repetitive (okay, just repetitive) words. Includes a list of 750 redundant phrases we hear and use--say it ain't so!--every day.


Coding and Redundancy

Coding and Redundancy

Author: Jack P. Hailman

Publisher: Harvard University Press

Published: 2008-05-31

Total Pages: 280

ISBN-13: 9780674027954

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This book explores the strikingly similar ways in which information is encoded in nonverbal man-made signals (e.g., traffic lights and tornado sirens) and animal-evolved signals (e.g., color patterns and vocalizations). The book also considers some coding principles for reducing certain unwanted redundancies and explains how desirable redundancies enhance communication reliability. Jack Hailman believes this work pioneers several aspects of analyzing human and animal communication. The book is the first to survey man-made signals as a class. It is also the first to compare such human-devised systems with signaling in animals by showing the highly similar ways in which the two encode information. A third innovation is generalizing principles of quantitative information theory to apply to a broad range of signaling systems. Finally, another first is distinguishing among types of redundancy and their separation into unwanted and desirable categories. This remarkably novel book will be of interest to a wide readership. Appealing not only to specialists in semiotics, animal behavior, psychology, and allied fields but also to general readers, it serves as an introduction to animal signaling and to an important class of human communication.


Beyond Redundancy

Beyond Redundancy

Author: Eric Bauer

Publisher: John Wiley & Sons

Published: 2011-09-26

Total Pages: 332

ISBN-13: 1118104935

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While geographic redundancy can obviously be a huge benefit for disaster recovery, it is far less obvious what benefit is feasible and likely for more typical non-catastrophic hardware, software, and human failures. Georedundancy and Service Availability provides both a theoretical and practical treatment of the feasible and likely benefits of geographic redundancy for both service availability and service reliability. The text provides network/system planners, IS/IT operations folks, system architects, system engineers, developers, testers, and other industry practitioners with a general discussion about the capital expense/operating expense tradeoff that frames system redundancy and georedundancy.


Parameter Redundancy and Identifiability

Parameter Redundancy and Identifiability

Author: Diana Cole

Publisher: CRC Press

Published: 2020-05-10

Total Pages: 273

ISBN-13: 1498720900

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Statistical and mathematical models are defined by parameters that describe different characteristics of those models. Ideally it would be possible to find parameter estimates for every parameter in that model, but, in some cases, this is not possible. For example, two parameters that only ever appear in the model as a product could not be estimated individually; only the product can be estimated. Such a model is said to be parameter redundant, or the parameters are described as non-identifiable. This book explains why parameter redundancy and non-identifiability is a problem and the different methods that can be used for detection, including in a Bayesian context. Key features of this book: Detailed discussion of the problems caused by parameter redundancy and non-identifiability Explanation of the different general methods for detecting parameter redundancy and non-identifiability, including symbolic algebra and numerical methods Chapter on Bayesian identifiability Throughout illustrative examples are used to clearly demonstrate each problem and method. Maple and R code are available for these examples More in-depth focus on the areas of discrete and continuous state-space models and ecological statistics, including methods that have been specifically developed for each of these areas This book is designed to make parameter redundancy and non-identifiability accessible and understandable to a wide audience from masters and PhD students to researchers, from mathematicians and statisticians to practitioners using mathematical or statistical models.


Efficient Redundancy Design Practices

Efficient Redundancy Design Practices

Author: T. M. Palmer

Publisher: IWA Publishing

Published: 2003-02-01

Total Pages: 336

ISBN-13: 1843396416

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The design of wastewater treatment plants with redundancy to assure a quality end product may be in conflict with efforts to assure effectiveness. Redundancy of major system components is to assure compliance with regulations and protection of the environment and the health and safety of the public and treatment plant staff. However, the capital costs and maintenance associated with redundant equipment does not necessarily enhance facility performance. There are a number of forces driving the level of redundancy in plant designs. Federal and state compliance regulations and the design engineer's past experiences will influence the plant design. To some extent the plant staff may also provide input into the plant design and, therefore, contributes to the redundancy. This report determines alternative methods to address treatment plant redundancy, including examples of methods currently in place and, ideally, insight on the premises leading to these applications. A secondary objective is to identify the similarities and differences in redundancy requirements associated with federal and state regulatory agencies. This publication can also be purchased and downloaded via Pay Per View on Water Intelligence Online - click on the Pay Per View icon below


Robot Manipulator Redundancy Resolution

Robot Manipulator Redundancy Resolution

Author: Yunong Zhang

Publisher: John Wiley & Sons

Published: 2017-09-11

Total Pages: 321

ISBN-13: 1119381428

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Introduces a revolutionary, quadratic-programming based approach to solving long-standing problems in motion planning and control of redundant manipulators This book describes a novel quadratic programming approach to solving redundancy resolutions problems with redundant manipulators. Known as ``QP-unified motion planning and control of redundant manipulators'' theory, it systematically solves difficult optimization problems of inequality-constrained motion planning and control of redundant manipulators that have plagued robotics engineers and systems designers for more than a quarter century. An example of redundancy resolution could involve a robotic limb with six joints, or degrees of freedom (DOFs), with which to position an object. As only five numbers are required to specify the position and orientation of the object, the robot can move with one remaining DOF through practically infinite poses while performing a specified task. In this case redundancy resolution refers to the process of choosing an optimal pose from among that infinite set. A critical issue in robotic systems control, the redundancy resolution problem has been widely studied for decades, and numerous solutions have been proposed. This book investigates various approaches to motion planning and control of redundant robot manipulators and describes the most successful strategy thus far developed for resolving redundancy resolution problems. Provides a fully connected, systematic, methodological, consecutive, and easy approach to solving redundancy resolution problems Describes a new approach to the time-varying Jacobian matrix pseudoinversion, applied to the redundant-manipulator kinematic control Introduces The QP-based unification of robots' redundancy resolution Illustrates the effectiveness of the methods presented using a large number of computer simulation results based on PUMA560, PA10, and planar robot manipulators Provides technical details for all schemes and solvers presented, for readers to adopt and customize them for specific industrial applications Robot Manipulator Redundancy Resolution is must-reading for advanced undergraduates and graduate students of robotics, mechatronics, mechanical engineering, tracking control, neural dynamics/neural networks, numerical algorithms, computation and optimization, simulation and modelling, analog, and digital circuits. It is also a valuable working resource for practicing robotics engineers and systems designers and industrial researchers.


Redundancy, Community and Heritage in the Modern Church of England, 1945–2000

Redundancy, Community and Heritage in the Modern Church of England, 1945–2000

Author: Denise Bonnette

Publisher: Springer Nature

Published: 2023-02-28

Total Pages: 289

ISBN-13: 3031175972

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This book is a reappraisal of Anglican Church redundancy from a cultural perspective. It challenges long-held perceptions about the rationale for church redundancy, particularly secularisation. It argues that redundancy brought to the surface far-reaching social and cultural tensions that remain unresolved to this day, and which the pandemic closure of buildings has reignited.