Decomposing Matrices Tensors And Images

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Matrix and Tensor Factorization Techniques for Recommender Systems

Author : Panagiotis Symeonidis
Publisher : Springer
ISBN 13 : 3319413570
Total Pages : 101 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Matrix and Tensor Factorization Techniques for Recommender Systems by : Panagiotis Symeonidis

Download or read book Matrix and Tensor Factorization Techniques for Recommender Systems written by Panagiotis Symeonidis and published by Springer. This book was released on 2017-01-29 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the algorithms used to provide recommendations by exploiting matrix factorization and tensor decomposition techniques. It highlights well-known decomposition methods for recommender systems, such as Singular Value Decomposition (SVD), UV-decomposition, Non-negative Matrix Factorization (NMF), etc. and describes in detail the pros and cons of each method for matrices and tensors. This book provides a detailed theoretical mathematical background of matrix/tensor factorization techniques and a step-by-step analysis of each method on the basis of an integrated toy example that runs throughout all its chapters and helps the reader to understand the key differences among methods. It also contains two chapters, where different matrix and tensor methods are compared experimentally on real data sets, such as Epinions, GeoSocialRec, Last.fm, BibSonomy, etc. and provides further insights into the advantages and disadvantages of each method. The book offers a rich blend of theory and practice, making it suitable for students, researchers and practitioners interested in both recommenders and factorization methods. Lecturers can also use it for classes on data mining, recommender systems and dimensionality reduction methods.

Unsupervised Feature Extraction Applied to Bioinformatics

Author : Y-h. Taguchi
Publisher : Springer Nature
ISBN 13 : 3030224562
Total Pages : 329 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Unsupervised Feature Extraction Applied to Bioinformatics by : Y-h. Taguchi

Download or read book Unsupervised Feature Extraction Applied to Bioinformatics written by Y-h. Taguchi and published by Springer Nature. This book was released on 2019-08-23 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book proposes applications of tensor decomposition to unsupervised feature extraction and feature selection. The author posits that although supervised methods including deep learning have become popular, unsupervised methods have their own advantages. He argues that this is the case because unsupervised methods are easy to learn since tensor decomposition is a conventional linear methodology. This book starts from very basic linear algebra and reaches the cutting edge methodologies applied to difficult situations when there are many features (variables) while only small number of samples are available. The author includes advanced descriptions about tensor decomposition including Tucker decomposition using high order singular value decomposition as well as higher order orthogonal iteration, and train tenor decomposition. The author concludes by showing unsupervised methods and their application to a wide range of topics. Allows readers to analyze data sets with small samples and many features; Provides a fast algorithm, based upon linear algebra, to analyze big data; Includes several applications to multi-view data analyses, with a focus on bioinformatics.

Matrix and Tensor Decompositions in Signal Processing, Volume 2

Author : Gérard Favier
Publisher : John Wiley & Sons
ISBN 13 : 1786301555
Total Pages : 386 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Matrix and Tensor Decompositions in Signal Processing, Volume 2 by : Gérard Favier

Download or read book Matrix and Tensor Decompositions in Signal Processing, Volume 2 written by Gérard Favier and published by John Wiley & Sons. This book was released on 2021-08-31 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second volume will deal with a presentation of the main matrix and tensor decompositions and their properties of uniqueness, as well as very useful tensor networks for the analysis of massive data. Parametric estimation algorithms will be presented for the identification of the main tensor decompositions. After a brief historical review of the compressed sampling methods, an overview of the main methods of retrieving matrices and tensors with missing data will be performed under the low rank hypothesis. Illustrative examples will be provided.

Tensors in Image Processing and Computer Vision

Author : Santiago Aja-Fernández
Publisher : Springer Science & Business Media
ISBN 13 : 1848822995
Total Pages : 468 pages
Book Rating : 4.8/5 (488 download)

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Book Synopsis Tensors in Image Processing and Computer Vision by : Santiago Aja-Fernández

Download or read book Tensors in Image Processing and Computer Vision written by Santiago Aja-Fernández and published by Springer Science & Business Media. This book was released on 2009-05-21 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensor signal processing is an emerging field with important applications to computer vision and image processing. This book presents the state of the art in this new branch of signal processing, offering a great deal of research and discussions by leading experts in the area. The wide-ranging volume offers an overview into cutting-edge research into the newest tensor processing techniques and their application to different domains related to computer vision and image processing. This comprehensive text will prove to be an invaluable reference and resource for researchers, practitioners and advanced students working in the area of computer vision and image processing.

Handbook of Image Engineering

Author : Yu-Jin Zhang
Publisher : Springer Nature
ISBN 13 : 9811558736
Total Pages : 1963 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Handbook of Image Engineering by : Yu-Jin Zhang

Download or read book Handbook of Image Engineering written by Yu-Jin Zhang and published by Springer Nature. This book was released on 2021-01-04 with total page 1963 pages. Available in PDF, EPUB and Kindle. Book excerpt: Image techniques have been developed and implemented for various purposes, and image engineering (IE) is a rapidly evolving, integrated discipline comprising the study of all the different branches of image techniques, and encompassing mathematics, physics, biology, physiology, psychology, electrical engineering, computer science and automation. Advances in the field are also closely related to the development of telecommunications, biomedical engineering, remote sensing, surveying and mapping, as well as document processing and industrial applications. IE involves three related and partially overlapping groups of image techniques: image processing (IP) (in its narrow sense), image analysis (IA) and image understanding (IU), and the integration of these three groups makes the discipline of image engineering an important part of the modern information era. This is the first handbook on image engineering, and provides a well-structured, comprehensive overview of this new discipline. It also offers detailed information on the various image techniques. It is a valuable reference resource for R&D professional and undergraduate students involved in image-related activities.

Nonnegative Matrix and Tensor Factorizations

Author : Andrzej Cichocki
Publisher : John Wiley & Sons
ISBN 13 : 9780470747285
Total Pages : 500 pages
Book Rating : 4.7/5 (472 download)

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Book Synopsis Nonnegative Matrix and Tensor Factorizations by : Andrzej Cichocki

Download or read book Nonnegative Matrix and Tensor Factorizations written by Andrzej Cichocki and published by John Wiley & Sons. This book was released on 2009-07-10 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a broad survey of models and efficient algorithms for Nonnegative Matrix Factorization (NMF). This includes NMF’s various extensions and modifications, especially Nonnegative Tensor Factorizations (NTF) and Nonnegative Tucker Decompositions (NTD). NMF/NTF and their extensions are increasingly used as tools in signal and image processing, and data analysis, having garnered interest due to their capability to provide new insights and relevant information about the complex latent relationships in experimental data sets. It is suggested that NMF can provide meaningful components with physical interpretations; for example, in bioinformatics, NMF and its extensions have been successfully applied to gene expression, sequence analysis, the functional characterization of genes, clustering and text mining. As such, the authors focus on the algorithms that are most useful in practice, looking at the fastest, most robust, and suitable for large-scale models. Key features: Acts as a single source reference guide to NMF, collating information that is widely dispersed in current literature, including the authors’ own recently developed techniques in the subject area. Uses generalized cost functions such as Bregman, Alpha and Beta divergences, to present practical implementations of several types of robust algorithms, in particular Multiplicative, Alternating Least Squares, Projected Gradient and Quasi Newton algorithms. Provides a comparative analysis of the different methods in order to identify approximation error and complexity. Includes pseudo codes and optimized MATLAB source codes for almost all algorithms presented in the book. The increasing interest in nonnegative matrix and tensor factorizations, as well as decompositions and sparse representation of data, will ensure that this book is essential reading for engineers, scientists, researchers, industry practitioners and graduate students across signal and image processing; neuroscience; data mining and data analysis; computer science; bioinformatics; speech processing; biomedical engineering; and multimedia.

Object Detection and Recognition in Digital Images

Author : Boguslaw Cyganek
Publisher : John Wiley & Sons
ISBN 13 : 111861836X
Total Pages : 518 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Object Detection and Recognition in Digital Images by : Boguslaw Cyganek

Download or read book Object Detection and Recognition in Digital Images written by Boguslaw Cyganek and published by John Wiley & Sons. This book was released on 2013-05-20 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Object detection, tracking and recognition in images are key problems in computer vision. This book provides the reader with a balanced treatment between the theory and practice of selected methods in these areas to make the book accessible to a range of researchers, engineers, developers and postgraduate students working in computer vision and related fields. Key features: Explains the main theoretical ideas behind each method (which are augmented with a rigorous mathematical derivation of the formulas), their implementation (in C++) and demonstrated working in real applications. Places an emphasis on tensor and statistical based approaches within object detection and recognition. Provides an overview of image clustering and classification methods which includes subspace and kernel based processing, mean shift and Kalman filter, neural networks, and k-means methods. Contains numerous case study examples of mainly automotive applications. Includes a companion website hosting full C++ implementation, of topics presented in the book as a software library, and an accompanying manual to the software platform.

Tensors: Geometry and Applications

Author : J. M. Landsberg
Publisher : American Mathematical Soc.
ISBN 13 : 0821869078
Total Pages : 464 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Tensors: Geometry and Applications by : J. M. Landsberg

Download or read book Tensors: Geometry and Applications written by J. M. Landsberg and published by American Mathematical Soc.. This book was released on 2011-12-14 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensors are ubiquitous in the sciences. The geometry of tensors is both a powerful tool for extracting information from data sets, and a beautiful subject in its own right. This book has three intended uses: a classroom textbook, a reference work for researchers in the sciences, and an account of classical and modern results in (aspects of) the theory that will be of interest to researchers in geometry. For classroom use, there is a modern introduction to multilinear algebra and to the geometry and representation theory needed to study tensors, including a large number of exercises. For researchers in the sciences, there is information on tensors in table format for easy reference and a summary of the state of the art in elementary language. This is the first book containing many classical results regarding tensors. Particular applications treated in the book include the complexity of matrix multiplication, P versus NP, signal processing, phylogenetics, and algebraic statistics. For geometers, there is material on secant varieties, G-varieties, spaces with finitely many orbits and how these objects arise in applications, discussions of numerous open questions in geometry arising in applications, and expositions of advanced topics such as the proof of the Alexander-Hirschowitz theorem and of the Weyman-Kempf method for computing syzygies.

Spectral Learning on Matrices and Tensors

Author : MAJID JANZAMIN;RONG GE;JEAN KOSSAIFI;ANIMA ANANDKU.
Publisher :
ISBN 13 : 9781680836417
Total Pages : 152 pages
Book Rating : 4.8/5 (364 download)

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Book Synopsis Spectral Learning on Matrices and Tensors by : MAJID JANZAMIN;RONG GE;JEAN KOSSAIFI;ANIMA ANANDKU.

Download or read book Spectral Learning on Matrices and Tensors written by MAJID JANZAMIN;RONG GE;JEAN KOSSAIFI;ANIMA ANANDKU. and published by . This book was released on 2019 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a theoretical and practical introduction to designing and deploying spectral learning on both matrices and tensors. It is of interest for all students, researchers and practitioners working on modern day machine learning problems.

Image and Graphics

Author : Yuxin Peng
Publisher : Springer Nature
ISBN 13 : 3030873587
Total Pages : 838 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Image and Graphics by : Yuxin Peng

Download or read book Image and Graphics written by Yuxin Peng and published by Springer Nature. This book was released on 2021-09-30 with total page 838 pages. Available in PDF, EPUB and Kindle. Book excerpt: This three-volume set LNCS 12888, 12898, and 12890 constitutes the refereed conference proceedings of the 11th International Conference on Image and Graphics, ICIG 2021, held in Haikou, China, in August 2021.* The 198 full papers presented were selected from 421 submissions and focus on advances of theory, techniques and algorithms as well as innovative technologies of image, video and graphics processing and fostering innovation, entrepreneurship, and networking. *The conference was postponed due to the COVID-19 pandemic.

Computational Collective Intelligence

Author : Ngoc Thanh Nguyen
Publisher : Springer Nature
ISBN 13 : 3031160142
Total Pages : 863 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Computational Collective Intelligence by : Ngoc Thanh Nguyen

Download or read book Computational Collective Intelligence written by Ngoc Thanh Nguyen and published by Springer Nature. This book was released on 2022-09-21 with total page 863 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 14th International Conference on Computational Collective Intelligence, ICCCI 2022, held in Hammamet, Tunisia, in September 2022. The 56 full papers and 10 short papers were carefully reviewed and selected from 420 submissions. The papers are grouped in topical sections on collective intelligence and collective decision-making; deep learning techniques; natural language processing; data minning and machine learning; knowledge engineering and semantic web; computer vision techniques; social networks and intelligent systems; cybersecurity and internet of things; cooperative strategies for decision making and optimization; computational intelligence for digital content understanding; applications for industry 4.0.

Group-Theoretical Methods in Image Understanding

Author : Ken-ichi Kanatani
Publisher : Springer Science & Business Media
ISBN 13 : 364261275X
Total Pages : 468 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Group-Theoretical Methods in Image Understanding by : Ken-ichi Kanatani

Download or read book Group-Theoretical Methods in Image Understanding written by Ken-ichi Kanatani and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Image understanding is an attempt to extract knowledge about a 3D scene from 20 images. The recent development of computers has made it possible to automate a wide range of systems and operations, not only in the industry, military, and special environments (space, sea, atomic plants, etc.), but also in daily life. As we now try to build ever more intelligent systems, the need for "visual" control has been strongly recognized, and the interest in image under standing has grown rapidly. Already, there exists a vast body of literature-ranging from general philosophical discourses to processing techniques. Compared with other works, however, this book may be unique in that its central focus is on "mathematical" principles-Lie groups and group representation theory, in particular. In the study of the relationship between the 3D scene and the 20 image, "geometry" naturally plays a central role. Today, so many branches are inter woven in geometry that we cannot truly regard it as a single subject. Neverthe less, as Felix Klein declared in his Erlangen Program, the central principle of geometry is group theory, because geometrical concepts are abstractions of properties that are "invariant" with respect to some group of transformations. In this text, we specifically focus on two groups of transformations. One is 20 rotations of the image coordinate system around the image origin. Such coordi nate rotations are indeed irrelevant when we look for intrinsic image properties.

Tensor Analysis

Author : Liqun Qi
Publisher : SIAM
ISBN 13 : 1611974747
Total Pages : 313 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Tensor Analysis by : Liqun Qi

Download or read book Tensor Analysis written by Liqun Qi and published by SIAM. This book was released on 2017-04-19 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensors, or hypermatrices, are multi-arrays with more than two indices. In the last decade or so, many concepts and results in matrix theory?some of which are nontrivial?have been extended to tensors and have a wide range of applications (for example, spectral hypergraph theory, higher order Markov chains, polynomial optimization, magnetic resonance imaging, automatic control, and quantum entanglement problems). The authors provide a comprehensive discussion of this new theory of tensors. Tensor Analysis: Spectral Theory and Special Tensors is unique in that it is the first book on these three subject areas: spectral theory of tensors; the theory of special tensors, including nonnegative tensors, positive semidefinite tensors, completely positive tensors, and copositive tensors; and the spectral hypergraph theory via tensors. ?

Decomposability of Tensors

Author : Luca Chiantini
Publisher : MDPI
ISBN 13 : 3038975907
Total Pages : 161 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Decomposability of Tensors by : Luca Chiantini

Download or read book Decomposability of Tensors written by Luca Chiantini and published by MDPI. This book was released on 2019-02-15 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Decomposability of Tensors" that was published in Mathematics

High-Performance Tensor Computations in Scientific Computing and Data Science

Author : Edoardo Angelo Di Napoli
Publisher : Frontiers Media SA
ISBN 13 : 2832504256
Total Pages : 192 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis High-Performance Tensor Computations in Scientific Computing and Data Science by : Edoardo Angelo Di Napoli

Download or read book High-Performance Tensor Computations in Scientific Computing and Data Science written by Edoardo Angelo Di Napoli and published by Frontiers Media SA. This book was released on 2022-11-08 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Transactions on Large-Scale Data- and Knowledge-Centered Systems LIV

Author : Abdelkader Hameurlain
Publisher : Springer Nature
ISBN 13 : 3662680149
Total Pages : 141 pages
Book Rating : 4.6/5 (626 download)

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Book Synopsis Transactions on Large-Scale Data- and Knowledge-Centered Systems LIV by : Abdelkader Hameurlain

Download or read book Transactions on Large-Scale Data- and Knowledge-Centered Systems LIV written by Abdelkader Hameurlain and published by Springer Nature. This book was released on 2023-10-23 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: The LNCS journal Transactions on Large-scale Data and Knowledge-centered Systems focuses on data management, knowledge discovery, and knowledge processing, which are core and hot topics in computer science. Since the 1990s, the Internet has become the main driving force behind application development in all domains. An increase in the demand for resource sharing across different sites connected through networks has led to an evolution of data- and knowledge-management systems from centralized systems to decentralized systems enabling large-scale distributed applications providing high scalability. This, the 54th issue of Transactions on Large-Scale Data and Knowledge-Centered Systems, contains three fully revised and extended papers and two additional extended keynotes selected from the 38th conference on Data Management - Principles, Technologies and Applications, BDA 2022. The topics cover a wide range of timely data management research topics on temporal graph management, tensor-based data mining, time-series prediction, healthcare analytics over knowledge graphs, and explanation of database query answers.

Medical Image Computing and Computer-Assisted Intervention – MICCAI 2006

Author : Rasmus Larsen
Publisher : Springer
ISBN 13 : 3540447288
Total Pages : 1017 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Medical Image Computing and Computer-Assisted Intervention – MICCAI 2006 by : Rasmus Larsen

Download or read book Medical Image Computing and Computer-Assisted Intervention – MICCAI 2006 written by Rasmus Larsen and published by Springer. This book was released on 2006-09-29 with total page 1017 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set LNCS 4190 and LNCS 4191 constitute the refereed proceedings of the 9th International Conference on Medical Image Computing and Computer-Assisted Intervention, MICCAI 2006. The program committee carefully selected 39 revised full papers and 193 revised poster papers for presentation in two volumes. This second volume collects 118 papers related to segmentation, validation and quantitative image analysis, brain image processing, and much more.