D Compositions Matricielles Et Tensorielles En Traitement Du Signal
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D Compositions Matricielles Et Tensorielles En Traitement Du Signal
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Author : Gérard Favier
language : fr
Publisher: ISTE Group
Release Date : 2022-04-01
D Compositions Matricielles Et Tensorielles En Traitement Du Signal written by Gérard Favier and has been published by ISTE Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-01 with Science categories.
À l’ère du Big Data, le traitement de l’information numérique occupe une place centrale dans de nombreux domaines applicatifs. Dans ce contexte, les tenseurs sont aujourd’hui de plus en plus utilisés pour la représentation, la compression, l’analyse, la classification et la fusion de données massives, multidimensionnelles et multimodales. Didactique, cet ouvrage débute par une présentation de différentes applications basées sur des approches tensorielles et un rappel des principales décompositions matricielles, puis il étudie de façon détaillée les produits de Hadamard, de Kronecker et de Khatri-Rao en faisant appel à une convention indicielle utile pour le calcul tensoriel. Les principales opérations tensorielles sont ensuite décrites et illustrées à l’aide de nombreux exemples. L’ouvrage introduit également les notions de valeur propre et de valeur singulière d’un tenseur et considère le problème fondamental de la meilleure approximation d’un tenseur. Il présente enfin les décompositions tensorielles de base, avec des illustrations issues d’applications en traitement du signal.
From Algebraic Structures To Tensors
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Author : Gérard Favier
language : en
Publisher: John Wiley & Sons
Release Date : 2020-01-02
From Algebraic Structures To Tensors written by Gérard Favier and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-02 with Technology & Engineering categories.
Nowadays, tensors play a central role for the representation, mining, analysis, and fusion of multidimensional, multimodal, and heterogeneous big data in numerous fields. This set on Matrices and Tensors in Signal Processing aims at giving a self-contained and comprehensive presentation of various concepts and methods, starting from fundamental algebraic structures to advanced tensor-based applications, including recently developed tensor models and efficient algorithms for dimensionality reduction and parameter estimation. Although its title suggests an orientation towards signal processing, the results presented in this set will also be of use to readers interested in other disciplines. This first book provides an introduction to matrices and tensors of higher-order based on the structures of vector space and tensor space. Some standard algebraic structures are first described, with a focus on the hilbertian approach for signal representation, and function approximation based on Fourier series and orthogonal polynomial series. Matrices and hypermatrices associated with linear, bilinear and multilinear maps are more particularly studied. Some basic results are presented for block matrices. The notions of decomposition, rank, eigenvalue, singular value, and unfolding of a tensor are introduced, by emphasizing similarities and differences between matrices and tensors of higher-order.
Des Structures Alg Briques Aux Tenseurs
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Author : Gérard Favier
language : fr
Publisher: ISTE Group
Release Date : 2020-03-01
Des Structures Alg Briques Aux Tenseurs written by Gérard Favier and has been published by ISTE Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-01 with categories.
Dans de nombreux domaines scientifiques, les tenseurs jouent un rôle central pour la représentation, l’analyse, la classification et la fusion de données massives multidimensionnelles et multimodales. Cet ouvrage fait un rappel des structures algébriques standards avant d’introduire les espaces de Banach et de Hilbert. Une attention particulière est portée à l’approche hilbertienne pour la représentation de signaux et l’approximation de fonctions, à l’aide de séries de Fourier et de polynômes orthogonaux. Les matrices et hypermatrices associées aux applications linéaires, bilinéaires et multilinéaires sont ensuite plus particulièrement étudiées et des résultats sur les matrices partitionnées sont présentés. Les notions de décomposition, de rang, de valeur propre, de valeur singulière et de dépliement d’un tenseur sont introduites en soulignant les similitudes et les différences entre matrices et tenseurs d’ordre élevé. Des structures algébriques aux tenseurs a pour objectif d’introduire de façon didactique les outils matriciels et tensoriels.
Physics And Mathematical Tools Methods And Examples
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Author : Angel Alastuey
language : en
Publisher: World Scientific Publishing Company
Release Date : 2015-12-30
Physics And Mathematical Tools Methods And Examples written by Angel Alastuey and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-30 with Science categories.
This book presents mathematical methods and tools which are useful for physicists and engineers: response functions, Kramers-Kronig relations, Green's functions, saddle point approximation. The derivations emphasize the underlying physical arguments and interpretations without any loss of rigor. General introductions describe the main features of the methods, while connections and analogies between a priori different problems are discussed. They are completed by detailed applications in many topics including electromagnetism, hydrodynamics, statistical physics, quantum mechanics, etc. Exercises are also proposed, and their solutions are sketched. A self-contained reading of the book is favored by avoiding too technical derivations, and by providing a short presentation of important tools in the appendices. It is addressed to undergraduate and graduate students in physics, but it can also be used by teachers, researchers and engineers.
Effective Java
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Author : Joshua Bloch
language : en
Publisher: Addison-Wesley Professional
Release Date : 2008-05-08
Effective Java written by Joshua Bloch and has been published by Addison-Wesley Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-08 with Computers categories.
Are you looking for a deeper understanding of the JavaTM programming language so that you can write code that is clearer, more correct, more robust, and more reusable? Look no further! Effective JavaTM, Second Edition, brings together seventy-eight indispensable programmer’s rules of thumb: working, best-practice solutions for the programming challenges you encounter every day. This highly anticipated new edition of the classic, Jolt Award-winning work has been thoroughly updated to cover Java SE 5 and Java SE 6 features introduced since the first edition. Bloch explores new design patterns and language idioms, showing you how to make the most of features ranging from generics to enums, annotations to autoboxing. Each chapter in the book consists of several “items” presented in the form of a short, standalone essay that provides specific advice, insight into Java platform subtleties, and outstanding code examples. The comprehensive descriptions and explanations for each item illuminate what to do, what not to do, and why. Highlights include: New coverage of generics, enums, annotations, autoboxing, the for-each loop, varargs, concurrency utilities, and much more Updated techniques and best practices on classic topics, including objects, classes, libraries, methods, and serialization How to avoid the traps and pitfalls of commonly misunderstood subtleties of the language Focus on the language and its most fundamental libraries: java.lang, java.util, and, to a lesser extent, java.util.concurrent and java.io Simply put, Effective JavaTM, Second Edition, presents the most practical, authoritative guidelines available for writing efficient, well-designed programs.
Composite Materials
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Author : Jean-Marie Berthelot
language : en
Publisher: Springer
Release Date : 2013-02-06
Composite Materials written by Jean-Marie Berthelot and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-06 with Technology & Engineering categories.
Mechanical engineering, an engineering discipline borne of the needs of the in dustrial revolution, is once again asked to do its substantial share in the call for industrial renewal. The general call is urgent as we face profound issues of produc tivity and competitiveness that require engineering solutions, among others. The Mechanical Engineering Series features graduate texts and research monographs intended to address the need for information in contemporary areas of mechanical engineering. The series is conceived as a comprehensive one that covers a broad range of concentrations important to mechanical engineering graduate education and re search. We are fortunate to have a distinguished roster of consulting editors on the advisory board, each an expert in one of the areas of concentration. The names of the consulting editors are listed on the next page of this volume. The areas of concentration are applied mechanics, biomechanics, computational mechan ics, dynamic systems and control, energetics, mechanics of materials, processing, thermal science, and tribology.
Bipolar And Mos Analog Integrated Circuit Design
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Author : Alan B. Grebene
language : en
Publisher: John Wiley & Sons
Release Date : 2002-11-21
Bipolar And Mos Analog Integrated Circuit Design written by Alan B. Grebene and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-21 with Technology & Engineering categories.
A practical, engineering book discussing the most modern and general techniques for designing analog integrated circuits which are not digital (excluding computer circuits). Covers the basics of the devices, manufacturing technology, design procedures, shortcuts, and analytic techniques. Includes examples and illustrations of the best current practice.
Modern Quantum Mechanics
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Author : J. J. Sakurai
language : en
Publisher: Cambridge University Press
Release Date : 2020-09-17
Modern Quantum Mechanics written by J. J. Sakurai and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-17 with Science categories.
A comprehensive and engaging textbook, providing a graduate-level, non-historical, modern introduction of quantum mechanical concepts.
Mathematics For Physics And Physicists
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Author : Walter Appel
language : en
Publisher:
Release Date : 2007
Mathematics For Physics And Physicists written by Walter Appel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
Aims to show graduate students and researchers the vital benefits of integrating mathematics into their study and experience of the physical world. This book details numerous topics from the frontiers of modern physics and mathematics such as convergence, Green functions, complex analysis, Fourier series and Fourier transform, tensors, and others.
Modelling Analysis And Control Of Thin Plates
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Author : J. Lagnese
language : en
Publisher: Elsevier Masson
Release Date : 1988
Modelling Analysis And Control Of Thin Plates written by J. Lagnese and has been published by Elsevier Masson this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Bifurcation theory categories.