generalized principal component analysis interdisciplinary applied mathematics

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Generalized Principal Component Analysis

Author : René Vidal
ISBN : 9780387878119
Genre : Science
File Size : 31. 78 MB
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This book provides a comprehensive introduction to the latest advances in the mathematical theory and computational tools for modeling high-dimensional data drawn from one or multiple low-dimensional subspaces (or manifolds) and potentially corrupted by noise, gross errors, or outliers. This challenging task requires the development of new algebraic, geometric, statistical, and computational methods for efficient and robust estimation and segmentation of one or multiple subspaces. The book also presents interesting real-world applications of these new methods in image processing, image and video segmentation, face recognition and clustering, and hybrid system identification etc. This book is intended to serve as a textbook for graduate students and beginning researchers in data science, machine learning, computer vision, image and signal processing, and systems theory. It contains ample illustrations, examples, and exercises and is made largely self-contained with three Appendices which survey basic concepts and principles from statistics, optimization, and algebraic-geometry used in this book. René Vidal is a Professor of Biomedical Engineering and Director of the Vision Dynamics and Learning Lab at The Johns Hopkins University. Yi Ma is Executive Dean and Professor at the School of Information Science and Technology at ShanghaiTech University. S. Shankar Sastry is Dean of the College of Engineering, Professor of Electrical Engineering and Computer Science and Professor of Bioengineering at the University of California, Berkeley.

Generalized Principal Component Analysis

Author : Yi Ma
ISBN : 0387879250
Genre : Mathematics
File Size : 31. 78 MB
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The main goal of this book is to introduce a new method to study hybrid models, referred to as generalized principal component analysis. The general problems that GPCA aims to address represents a fairly general class of unsupervised learning problems— many data clustering and modeling methods in machine learning can be viewed as special cases of this method. This book provides a comprehensive introduction of the fundamental statistical, geometric and algebraic concepts associated with the estimation (and segmentation) of the hybrid models, especially the hybrid linear models.

Data Mining

Author : Rafiqul Islam
ISBN : 9789811366611
Genre :
File Size : 73. 1 MB
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Object Detection And Recognition In Digital Images

Author : Boguslaw Cyganek
ISBN : 9781118618363
Genre : Science
File Size : 87. 98 MB
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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.

Mathematics Without Boundaries

Author : Panos M. Pardalos
ISBN : 9781493911240
Genre : Mathematics
File Size : 52. 37 MB
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This volume consists of chapters written by eminent scientists and engineers from the international community and present significant advances in several theories, methods and applications of an interdisciplinary research. These contributions focus on both old and recent developments of Global Optimization Theory, Convex Analysis, Calculus of Variations, Discrete Mathematics and Geometry, as well as several applications to a large variety of concrete problems, including applications of computers to the study of smoothness and analyticity of functions, applications to epidemiological diffusion, networks, mathematical models of elastic and piezoelectric fields, optimal algorithms, stability of neutral type vector functional differential equations, sampling and rational interpolation for non-band-limited signals, recurrent neural network for convex optimization problems and experimental design. The book also contains some review works, which could prove particularly useful for a broader audience of readers in Mathematical and Engineering subjects and especially to graduate students who search for the latest information.

Data Expert Knowledge And Decisions

Author : Wolfgang A. Gaul
ISBN : 9783642734892
Genre : Business & Economics
File Size : 54. 8 MB
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Cross-disciplinary research on how computer-assisted decision making can be supported by sophisticated data analysis techniques and recent developments in knowledge-based systems research are described in this volume, with emphasis on marketing applications. Aspects dealt with include market-share analysis (spreadsheet based), media planning, stochastic market modelling, marketing data analysis and new product introduction management (all knowledge-based, partly using PROLOG). These contributions emphasize links between decision support, expert knowledge research and marketing. Other application areas are debt and credit management and personnel disposition (KEE based), portfolio management (PROLOG based) and vehicle scheduling. Concrete interconnections between data analysis and marketing can be seen in the contributions on classification and unfolding of market data, market segmentation by forced classification, conjoint analysis applications, ideal point product mapping, MDS in telecommunications pricing and multi-mode marketing data evaluations.


Author : Weimin Han
ISBN : 9781461459408
Genre : Mathematics
File Size : 65. 71 MB
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This book focuses on the theoretical aspects of small strain theory of elastoplasticity with hardening assumptions. It provides a comprehensive and unified treatment of the mathematical theory and numerical analysis. It is divided into three parts, with the first part providing a detailed introduction to plasticity, the second part covering the mathematical analysis of the elasticity problem, and the third part devoted to error analysis of various semi-discrete and fully discrete approximations for variational formulations of the elastoplasticity. This revised and expanded edition includes material on single-crystal and strain-gradient plasticity. In addition, the entire book has been revised to make it more accessible to readers who are actively involved in computations but less so in numerical analysis. Reviews of earlier edition: “The authors have written an excellent book which can be recommended for specialists in plasticity who wish to know more about the mathematical theory, as well as those with a background in the mathematical sciences who seek a self-contained account of the mechanics and mathematics of plasticity theory.” (ZAMM, 2002) “In summary, the book represents an impressive comprehensive overview of the mathematical approach to the theory and numerics of plasticity. Scientists as well as lecturers and graduate students will find the book very useful as a reference for research or for preparing courses in this field.” (Technische Mechanik) "The book is professionally written and will be a useful reference to researchers and students interested in mathematical and numerical problems of plasticity. It represents a major contribution in the area of continuum mechanics and numerical analysis." (Math Reviews)

Amstat News

Author :
ISBN : UOM:39015055740198
Genre : Statistics
File Size : 26. 34 MB
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Courses Of Study

Author : Cornell University
ISBN : CORNELL:31924084692304
Genre : Education
File Size : 88. 5 MB
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The University Of Virginia Record

Author : University of Virginia
ISBN : UVA:X030050609
Genre : Biography & Autobiography
File Size : 33. 34 MB
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