Learning The Nonlinear Geometric Structure Of High Dimensional Data
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Learning The Nonlinear Geometric Structure Of High Dimensional Data
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Author : Tong Wu
language : en
Publisher:
Release Date : 2017
Learning The Nonlinear Geometric Structure Of High Dimensional Data written by Tong Wu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with categories.
Modern information processing relies on the axiom that high-dimensional data lie near low-dimensional geometric structures. The work presented in this thesis aims to develop new models and algorithms for learning the geometric structures underlying data and to exploit the application of geometry learning in image and video analytics. The first part of the thesis revisits the problem of data-driven learning of these geometric structures and puts forth two new nonlinear geometric models for data describing "related" objects/phenomena. The first one of these models straddles the two extremes of the subspace model and the union-of-subspaces model, and is termed the emph{metric-constrained union-of-subspaces} (MC-UoS) model. The second one of these models--suited for data drawn from a mixture of nonlinear manifolds--generalizes the kernel subspace model, and is termed the emph{metric-constrained kernel union-of-subspaces} (MC-KUoS) model. The main contributions in this regard are threefold. First, we motivate and formalize the problems of MC-UoS and MC-KUoS learning. Second, we present algorithms that efficiently learn an MC-UoS or an MC-KUoS underlying data of interest. Third, we extend these algorithms to the case when parts of the data are missing. The second part of the thesis considers the problem of learning meaningful human action attributes from video data. Representation of human actions as a sequence of human body movements or action attributes enables the development of models for human activity recognition and summarization. We first propose a hierarchical union-of-subspaces model and an approach called hierarchical sparse subspace clustering (HSSC) is developed to learn this model from the data in an unsupervised manner by capturing the variations or movements of each action in different subspaces. We then present an extension of the low-rank representation (LRR) model, termed the emph{clustering-aware structure-constrained low-rank representation} (CS-LRR) model, for unsupervised learning of human action attributes from video data. The CS-LRR model is based on the union-of-subspaces framework, and integrates spectral clustering into the LRR optimization problem for better subspace clustering results. We also introduce a hierarchical subspace clustering approach, termed hierarchical CS-LRR, to learn the attributes without the need for a priori specification of their number. By visualizing and labeling these action attributes, the hierarchical model can be used to semantically summarize long video sequences of human actions at multiple resolutions. A human action or activity can also be uniquely represented as a sequence of transitions from one action attribute to another, which can then be used for human action recognition.
Geometric Structure Of High Dimensional Data And Dimensionality Reduction
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Author : Jianzhong Wang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-28
Geometric Structure Of High Dimensional Data And Dimensionality Reduction written by Jianzhong Wang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-28 with Computers categories.
"Geometric Structure of High-Dimensional Data and Dimensionality Reduction" adopts data geometry as a framework to address various methods of dimensionality reduction. In addition to the introduction to well-known linear methods, the book moreover stresses the recently developed nonlinear methods and introduces the applications of dimensionality reduction in many areas, such as face recognition, image segmentation, data classification, data visualization, and hyperspectral imagery data analysis. Numerous tables and graphs are included to illustrate the ideas, effects, and shortcomings of the methods. MATLAB code of all dimensionality reduction algorithms is provided to aid the readers with the implementations on computers. The book will be useful for mathematicians, statisticians, computer scientists, and data analysts. It is also a valuable handbook for other practitioners who have a basic background in mathematics, statistics and/or computer algorithms, like internet search engine designers, physicists, geologists, electronic engineers, and economists. Jianzhong Wang is a Professor of Mathematics at Sam Houston State University, U.S.A.
Geometric Structures In Nonlinear Physics
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Author : Robert Hermann
language : en
Publisher: Math Science Press
Release Date : 1991
Geometric Structures In Nonlinear Physics written by Robert Hermann and has been published by Math Science Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
VOLUME 26 of INTERDISCIPLINARY MATHEMATICS, series expounding mathematical methodology in Physics & Engineering. TOPICS: Differential & Riemannian Geometry; Theories of Vorticity Dynamics, Einstein-Hilbert Gravitation, Colobeau-Rosinger Generalized Function Algebra, Deformations & Quantum Mechanics of Particles & Fields. Ultimate goal is to develop mathematical framework for reconciling Quantum Mechanics & concept of Point Particle. New ideas for researchers & students. Order: Math Sci Press, 53 Jordan Road, Brookline, MA 02146. (617) 738-0307.
Geometric Science Of Information
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Author : Frank Nielsen
language : en
Publisher: Springer Nature
Release Date : 2023-07-31
Geometric Science Of Information written by Frank Nielsen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-31 with Computers categories.
This book constitutes the proceedings of the 6th International Conference on Geometric Science of Information, GSI 2023, held in St. Malo, France, during August 30-September 1, 2023. The 125 full papers presented in this volume were carefully reviewed and selected from 161 submissions. They cover all the main topics and highlights in the domain of geometric science of information, including information geometry manifolds of structured data/information and their advanced applications. The papers are organized in the following topics: geometry and machine learning; divergences and computational information geometry; statistics, topology and shape spaces; geometry and mechanics; geometry, learning dynamics and thermodynamics; quantum information geometry; geometry and biological structures; geometry and applications.
Sparse Representations For Radar With Matlab Examples
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Author : Peter Knee
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Sparse Representations For Radar With Matlab Examples written by Peter Knee and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.
Although the field of sparse representations is relatively new, research activities in academic and industrial research labs are already producing encouraging results. The sparse signal or parameter model motivated several researchers and practitioners to explore high complexity/wide bandwidth applications such as Digital TV, MRI processing, and certain defense applications. The potential signal processing advancements in this area may influence radar technologies. This book presents the basic mathematical concepts along with a number of useful MATLAB® examples to emphasize the practical implementations both inside and outside the radar field. Table of Contents: Radar Systems: A Signal Processing Perspective / Introduction to Sparse Representations / Dimensionality Reduction / Radar Signal Processing Fundamentals / Sparse Representations in Radar
Pattern Recognition Icpr International Workshops And Challenges
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Author : Alberto Del Bimbo
language : en
Publisher: Springer Nature
Release Date : 2021-02-24
Pattern Recognition Icpr International Workshops And Challenges written by Alberto Del Bimbo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-24 with Computers categories.
This 8-volumes set constitutes the refereed of the 25th International Conference on Pattern Recognition Workshops, ICPR 2020, held virtually in Milan, Italy and rescheduled to January 10 - 11, 2021 due to Covid-19 pandemic. The 416 full papers presented in these 8 volumes were carefully reviewed and selected from about 700 submissions. The 46 workshops cover a wide range of areas including machine learning, pattern analysis, healthcare, human behavior, environment, surveillance, forensics and biometrics, robotics and egovision, cultural heritage and document analysis, retrieval, and women at ICPR2020.
Principles Of Data Science
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Author : Hamid R. Arabnia
language : en
Publisher: Springer Nature
Release Date : 2020-07-08
Principles Of Data Science written by Hamid R. Arabnia and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-08 with Technology & Engineering categories.
This book provides readers with a thorough understanding of various research areas within the field of data science. The book introduces readers to various techniques for data acquisition, extraction, and cleaning, data summarizing and modeling, data analysis and communication techniques, data science tools, deep learning, and various data science applications. Researchers can extract and conclude various future ideas and topics that could result in potential publications or thesis. Furthermore, this book contributes to Data Scientists’ preparation and to enhancing their knowledge of the field. The book provides a rich collection of manuscripts in highly regarded data science topics, edited by professors with long experience in the field of data science. Introduces various techniques, methods, and algorithms adopted by Data Science experts Provides a detailed explanation of data science perceptions, reinforced by practical examples Presents a road map of future trends suitable for innovative data science research and practice
Advances In Neural Information Processing Systems 15
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Author : Suzanna Becker
language : en
Publisher: MIT Press
Release Date : 2003
Advances In Neural Information Processing Systems 15 written by Suzanna Becker and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Neural circuitry categories.
Proceedings of the 2002 Neural Information Processing Systems Conference.
Machine Learning For Vision Based Motion Analysis
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Author : Liang Wang
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-18
Machine Learning For Vision Based Motion Analysis written by Liang Wang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-18 with Computers categories.
Techniques of vision-based motion analysis aim to detect, track, identify, and generally understand the behavior of objects in image sequences. With the growth of video data in a wide range of applications from visual surveillance to human-machine interfaces, the ability to automatically analyze and understand object motions from video footage is of increasing importance. Among the latest developments in this field is the application of statistical machine learning algorithms for object tracking, activity modeling, and recognition. Developed from expert contributions to the first and second International Workshop on Machine Learning for Vision-Based Motion Analysis, this important text/reference highlights the latest algorithms and systems for robust and effective vision-based motion understanding from a machine learning perspective. Highlighting the benefits of collaboration between the communities of object motion understanding and machine learning, the book discusses the most active forefronts of research, including current challenges and potential future directions. Topics and features: provides a comprehensive review of the latest developments in vision-based motion analysis, presenting numerous case studies on state-of-the-art learning algorithms; examines algorithms for clustering and segmentation, and manifold learning for dynamical models; describes the theory behind mixed-state statistical models, with a focus on mixed-state Markov models that take into account spatial and temporal interaction; discusses object tracking in surveillance image streams, discriminative multiple target tracking, and guidewire tracking in fluoroscopy; explores issues of modeling for saliency detection, human gait modeling, modeling of extremely crowded scenes, and behavior modeling from video surveillance data; investigates methods for automatic recognition of gestures in Sign Language, and human action recognition from small training sets. Researchers, professional engineers, and graduate students in computer vision, pattern recognition and machine learning, will all find this text an accessible survey of machine learning techniques for vision-based motion analysis. The book will also be of interest to all who work with specific vision applications, such as surveillance, sport event analysis, healthcare, video conferencing, and motion video indexing and retrieval.
Intelligent Visual Surveillance
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Author : Zhang Zhang
language : en
Publisher: Springer
Release Date : 2016-12-20
Intelligent Visual Surveillance written by Zhang Zhang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-20 with Computers categories.
This book constitutes the refereed proceedings of the 4th Chinese Conference, IVS 2016, held in Beijing, China, in October 2016. The 19 revised full papers presented were carefully reviewed and selected from 45 submissions. The papers are organized in topical sections on low-level preprocessing, surveillance systems; tracking, robotics; identification, detection, recognition; behavior, activities, crowd analysis.