Sparse And Redundant Representations

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Sparse and Redundant Representations

Author : Michael Elad
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 47,9 Mb
Release : 2010-08-12
Category : Mathematics
ISBN : 9781441970114

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Sparse and Redundant Representations by Michael Elad Pdf

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.

A Wavelet Tour of Signal Processing

Author : Stephane Mallat
Publisher : Elsevier
Page : 620 pages
File Size : 50,8 Mb
Release : 1999-09-14
Category : Mathematics
ISBN : 0080520839

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A Wavelet Tour of Signal Processing by Stephane Mallat Pdf

This book is intended to serve as an invaluable reference for anyone concerned with the application of wavelets to signal processing. It has evolved from material used to teach "wavelet signal processing" courses in electrical engineering departments at Massachusetts Institute of Technology and Tel Aviv University, as well as applied mathematics departments at the Courant Institute of New York University and École Polytechnique in Paris. Provides a broad perspective on the principles and applications of transient signal processing with wavelets Emphasizes intuitive understanding, while providing the mathematical foundations and description of fast algorithms Numerous examples of real applications to noise removal, deconvolution, audio and image compression, singularity and edge detection, multifractal analysis, and time-varying frequency measurements Algorithms and numerical examples are implemented in Wavelab, which is a Matlab toolbox freely available over the Internet Content is accessible on several level of complexity, depending on the individual reader's needs New to the Second Edition Optical flow calculation and video compression algorithms Image models with bounded variation functions Bayes and Minimax theories for signal estimation 200 pages rewritten and most illustrations redrawn More problems and topics for a graduate course in wavelet signal processing, in engineering and applied mathematics

Curves and Surfaces

Author : Jean-Daniel Boissonnat,Patrick Chenin,Albert Cohen,Christian Gout,Tom Lyche,Marie-Laurence Mazure,Larry Schumaker
Publisher : Springer
Page : 748 pages
File Size : 42,6 Mb
Release : 2012-01-06
Category : Computers
ISBN : 9783642274138

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Curves and Surfaces by Jean-Daniel Boissonnat,Patrick Chenin,Albert Cohen,Christian Gout,Tom Lyche,Marie-Laurence Mazure,Larry Schumaker Pdf

This volume constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Curves and Surfaces, held in Avignon, in June 2010. The conference had the overall theme: "Representation and Approximation of Curves and Surfaces and Applications". The 39 revised full papers presented together with 9 invited talks were carefully reviewed and selected from 114 talks presented at the conference. The topics addressed by the papers range from mathematical foundations to practical implementation on modern graphics processing units and address a wide area of topics such as computer-aided geometric design, computer graphics and visualisation, computational geometry and topology, geometry processing, image and signal processing, interpolation and smoothing, scattered data processing and learning theory and subdivision, wavelets and multi-resolution methods.

Sparse Image and Signal Processing

Author : Jean-Luc Starck,Fionn Murtagh,Jalal Fadili
Publisher : Cambridge University Press
Page : 449 pages
File Size : 43,5 Mb
Release : 2015-10-14
Category : Computers
ISBN : 9781107088061

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Sparse Image and Signal Processing by Jean-Luc Starck,Fionn Murtagh,Jalal Fadili Pdf

Presents state-of-the-art sparse and multiscale image and signal processing with applications in astronomy, biology, MRI, media, and forensics.

Graph Representation Learning

Author : William L. William L. Hamilton
Publisher : Springer Nature
Page : 141 pages
File Size : 46,6 Mb
Release : 2022-06-01
Category : Computers
ISBN : 9783031015885

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Graph Representation Learning by William L. William L. Hamilton Pdf

Graph-structured data is ubiquitous throughout the natural and social sciences, from telecommunication networks to quantum chemistry. Building relational inductive biases into deep learning architectures is crucial for creating systems that can learn, reason, and generalize from this kind of data. Recent years have seen a surge in research on graph representation learning, including techniques for deep graph embeddings, generalizations of convolutional neural networks to graph-structured data, and neural message-passing approaches inspired by belief propagation. These advances in graph representation learning have led to new state-of-the-art results in numerous domains, including chemical synthesis, 3D vision, recommender systems, question answering, and social network analysis. This book provides a synthesis and overview of graph representation learning. It begins with a discussion of the goals of graph representation learning as well as key methodological foundations in graph theory and network analysis. Following this, the book introduces and reviews methods for learning node embeddings, including random-walk-based methods and applications to knowledge graphs. It then provides a technical synthesis and introduction to the highly successful graph neural network (GNN) formalism, which has become a dominant and fast-growing paradigm for deep learning with graph data. The book concludes with a synthesis of recent advancements in deep generative models for graphs—a nascent but quickly growing subset of graph representation learning.

Mathematics in Image Processing

Author : Hong-Kai Zhao
Publisher : American Mathematical Soc.
Page : 258 pages
File Size : 54,5 Mb
Release : 2013-06-12
Category : Mathematics
ISBN : 9780821898413

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Mathematics in Image Processing by Hong-Kai Zhao Pdf

The theme of the 2010 PCMI Summer School was Mathematics in Image Processing in a broad sense, including mathematical theory, analysis, computation algorithms and applications. In image processing, information needs to be processed, extracted and analyzed from visual content, such as photographs or videos. These demands include standard tasks such as compression and denoising, as well as high-level understanding and analysis, such as recognition and classification. Centered on the theme of mathematics in image processing, the summer school covered quite a wide spectrum of topics in this field. The summer school is particularly timely and exciting due to the very recent advances and developments in the mathematical theory and computational methods for sparse representation. This volume collects three self-contained lecture series. The topics are multi-resolution based wavelet frames and applications to image processing, sparse and redundant representation modeling of images and simulation of elasticity, biomechanics, and virtual surgery. Recent advances in image processing, compressed sensing and sparse representation are discussed.

Independent Component Analysis and Signal Separation

Author : Tulay Adali,Christian Jutten,Joao Marcos Travassos Romano,Allan Kardec Barros
Publisher : Springer
Page : 785 pages
File Size : 40,9 Mb
Release : 2009-03-16
Category : Computers
ISBN : 9783642005992

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Independent Component Analysis and Signal Separation by Tulay Adali,Christian Jutten,Joao Marcos Travassos Romano,Allan Kardec Barros Pdf

This book constitutes the refereed proceedings of the 8th International Conference on Independent Component Analysis and Signal Separation, ICA 2009, held in Paraty, Brazil, in March 2009. The 97 revised papers presented were carefully reviewed and selected from 137 submissions. The papers are organized in topical sections on theory, algorithms and architectures, biomedical applications, image processing, speech and audio processing, other applications, as well as a special session on evaluation.

Photogrammetric Image Analysis

Author : Uwe Stilla,Franz Rottensteiner,Helmut Mayer,Boris Jutzi,Matthias Butenuth
Publisher : Springer Science & Business Media
Page : 317 pages
File Size : 44,7 Mb
Release : 2011-09-28
Category : Computers
ISBN : 9783642243929

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Photogrammetric Image Analysis by Uwe Stilla,Franz Rottensteiner,Helmut Mayer,Boris Jutzi,Matthias Butenuth Pdf

This book constitutes the refereed proceedings of the ISPRS Conference on Photogrammetric Image Analysis, held in Munich, Germany, in October 2011. The 25 revised full papers presented were carefully reviewed and selected from 54 submissions. The papers are organized in topical sections on orientation, matching, object detection, 3D reconstruction and DEM, classification, people and tracking, as well as image processing.

Emerging Technologies in Intelligent Applications for Image and Video Processing

Author : Santhi, V.
Publisher : IGI Global
Page : 518 pages
File Size : 52,5 Mb
Release : 2016-01-07
Category : Computers
ISBN : 9781466696860

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Emerging Technologies in Intelligent Applications for Image and Video Processing by Santhi, V. Pdf

Image and Video Processing is an active area of research due to its potential applications for solving real-world problems. Integrating computational intelligence to analyze and interpret information from image and video technologies is an essential step to processing and applying multimedia data. Emerging Technologies in Intelligent Applications for Image and Video Processing presents the most current research relating to multimedia technologies including video and image restoration and enhancement as well as algorithms used for image and video compression, indexing and retrieval processes, and security concerns. Featuring insight from researchers from around the world, this publication is designed for use by engineers, IT specialists, researchers, and graduate level students.

Iterative Methods for Sparse Linear Systems

Author : Yousef Saad
Publisher : SIAM
Page : 537 pages
File Size : 45,8 Mb
Release : 2003-04-01
Category : Mathematics
ISBN : 9780898715347

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Iterative Methods for Sparse Linear Systems by Yousef Saad Pdf

Mathematics of Computing -- General.

Independent Component Analysis and Blind Signal Separation

Author : Carlos G. Puntonet
Publisher : Springer Science & Business Media
Page : 1287 pages
File Size : 51,6 Mb
Release : 2004-09-17
Category : Computers
ISBN : 9783540230564

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Independent Component Analysis and Blind Signal Separation by Carlos G. Puntonet Pdf

tionsalso,apartfromsignalprocessing,withother?eldssuchasstatisticsandarti?cial neuralnetworks. As long as we can ?nd a system that emits signals propagated through a mean, andthosesignalsarereceivedbyasetofsensorsandthereisaninterestinrecovering the originalsources,we have a potential?eld ofapplication forBSS and ICA. Inside thatwiderangeofapplicationswecan?nd,forinstance:noisereductionapplications, biomedicalapplications,audiosystems,telecommunications,andmanyothers. This volume comes out just 20 years after the ?rst contributionsin ICA and BSS 1 appeared . Thereinafter,the numberof research groupsworking in ICA and BSS has been constantly growing, so that nowadays we can estimate that far more than 100 groupsareresearchinginthese?elds. Asproofoftherecognitionamongthescienti?ccommunityofICAandBSSdev- opmentstherehavebeennumerousspecialsessionsandspecialissuesinseveralwell- 1 J.Herault, B.Ans,“Circuits neuronaux à synapses modi?ables: décodage de messages c- posites para apprentissage non supervise”, C.R. de l'Académie des Sciences, vol. 299, no. III-13,pp.525–528,1984.

Sparse Coding and its Applications in Computer Vision

Author : Zhaowen Wang,Jianchao Yang,Haichao Zhang,Zhangyang Wang,Yingzhen Yang,Ding Liu,Thomas S Huang
Publisher : World Scientific
Page : 240 pages
File Size : 50,8 Mb
Release : 2015-10-28
Category : Computers
ISBN : 9789814725064

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Sparse Coding and its Applications in Computer Vision by Zhaowen Wang,Jianchao Yang,Haichao Zhang,Zhangyang Wang,Yingzhen Yang,Ding Liu,Thomas S Huang Pdf

This book provides a broader introduction to the theories and applications of sparse coding techniques in computer vision research. It introduces sparse coding in the context of representation learning, illustrates the fundamental concepts, and summarizes the most active research directions. A variety of applications of sparse coding are discussed, ranging from low-level image processing tasks such as super-resolution and de-blurring to high-level semantic understanding tasks such as image recognition, clustering and fusion. The book is suitable to be used as an introductory overview to this field, with its theoretical part being both easy and precious enough for quick understanding. It is also of great value to experienced researchers as it offers new perspective to the underlying mechanism of sparse coding, and points out potential future directions for different applications. Contents:IntroductionTheories of Sparse CodingImage Super-ResolutionImage DeblurringSensor FusionClusteringObject RecognitionHyper-Spectral Image ModelingConclusions Readership: Graduate students, researchers and professionals in the field of machine perception, pattern recognition, image analysis, artificial intelligence, machine learning. Key Features:Explanation of sparse coding from both theoretical and practical point of viewsA comprehensive review of the applications of sparse coding in both low-level and high-level vision problemsInvestigating future research directions of sparse coding by making connection with the current state-of-the-art feature learning models, including deep neural networksKeywords:Sparse Coding;Sparse Representation;Dictionary Learning;Super-Resolution;De-Blurring;Sensor Fusion;Image Classification;Hyper-Spectral Image

Biometrics: Concepts, Methodologies, Tools, and Applications

Author : Management Association, Information Resources
Publisher : IGI Global
Page : 1852 pages
File Size : 42,6 Mb
Release : 2016-08-30
Category : Social Science
ISBN : 9781522509844

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Biometrics: Concepts, Methodologies, Tools, and Applications by Management Association, Information Resources Pdf

Security and authentication issues are surging to the forefront of the research realm in global society. As technology continues to evolve, individuals are finding it easier to infiltrate various forums and facilities where they can illegally obtain information and access. By implementing biometric authentications to these forums, users are able to prevent attacks on their privacy and security. Biometrics: Concepts, Methodologies, Tools, and Applications is a multi-volume publication highlighting critical topics related to access control, user identification, and surveillance technologies. Featuring emergent research on the issues and challenges in security and privacy, various forms of user authentication, biometric applications to image processing and computer vision, and security applications within the field, this publication is an ideal reference source for researchers, engineers, technology developers, students, and security specialists.

New Advances in Dependability of Networks and Systems

Author : Wojciech Zamojski,Jacek Mazurkiewicz,Jarosław Sugier,Tomasz Walkowiak,Janusz Kacprzyk
Publisher : Springer Nature
Page : 413 pages
File Size : 52,7 Mb
Release : 2022-05-26
Category : Technology & Engineering
ISBN : 9783031067464

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New Advances in Dependability of Networks and Systems by Wojciech Zamojski,Jacek Mazurkiewicz,Jarosław Sugier,Tomasz Walkowiak,Janusz Kacprzyk Pdf

The book consists of papers on selected topics of dependability analysis in computer systems and networks which were discussed during the 17th DepCoS-RELCOMEX conference held in Wrocław, Poland, from June 27th to July 1st, 2022. Their collection will be an interesting source material for scientists, researchers, practitioners and students who are dealing with design, analysis and engineering of computer systems and networks and must ensure their dependable operation. Being probably the most complex technical systems ever engineered by man (and also, the most dynamically evolving ones), organization of contemporary computer systems and networks cannot be interpreted only as a structure built on the base of unreliable technical resources. Their evaluation must take into account a unique blend of interacting people, networks (together with mobile properties, cloud organization, Internet of Everything, etc.) and a large number of users dispersed geographically and constantly producing an unconceivable number of applications. Research methods being continuously developed for dependability analyses apply newest results of artificial and computational intelligence. Selection of papers in this book illustrates broad range of topics, often multi-disciplinary, which is considered in present-day dependability explorations; it also reveals an increasing role of the latest methods based on machine/deep learning and neural networks in these studies.

Cyberspace Safety and Security

Author : Jaideep Vaidya,Xiao Zhang,Jin Li
Publisher : Springer Nature
Page : 610 pages
File Size : 44,5 Mb
Release : 2020-01-03
Category : Computers
ISBN : 9783030373528

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Cyberspace Safety and Security by Jaideep Vaidya,Xiao Zhang,Jin Li Pdf

The two volumes LNCS 11982 and 11983 constitute the proceedings of the 11th International Symposium on Cyberspace Safety and Security, CSS 2019, held in Guangzhou, China, in December 2019. The 61 full papers and 40 short papers presented were carefully reviewed and selected from 235 submissions. The papers cover a broad range of topics in the field of cyberspace safety and security, such as authentication, access control, availability, integrity, privacy, confidentiality, dependability and sustainability issues of cyberspace. They are organized in the following topical sections: network security; system security; information security; privacy preservation; machine learning and security; cyberspace safety; big data and security; and cloud and security;