Splitting Methods In Communication Imaging Science And Engineering

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Splitting Methods in Communication, Imaging, Science, and Engineering

Roland Glowinski,Stanley J. Osher,Wotao Yin
Splitting Methods in Communication Imaging Science and Engineering Book PDF

Author : Roland Glowinski,Stanley J. Osher,Wotao Yin
Publisher : Springer
Page : 820 pages
File Size : 44,9 Mb
Release : 2017-01-05
Category : Mathematics
ISBN : 9783319415895

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Splitting Methods in Communication, Imaging, Science, and Engineering by Roland Glowinski,Stanley J. Osher,Wotao Yin Pdf

This book is about computational methods based on operator splitting. It consists of twenty-three chapters written by recognized splitting method contributors and practitioners, and covers a vast spectrum of topics and application areas, including computational mechanics, computational physics, image processing, wireless communication, nonlinear optics, and finance. Therefore, the book presents very versatile aspects of splitting methods and their applications, motivating the cross-fertilization of ideas.

Processing, Analyzing and Learning of Images, Shapes, and Forms: Part 2

Anonim
Processing Analyzing and Learning of Images Shapes and Forms Part 2 Book PDF

Author : Anonim
Publisher : Elsevier
Page : 706 pages
File Size : 51,6 Mb
Release : 2019-10-16
Category : Mathematics
ISBN : 9780444641410

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Processing, Analyzing and Learning of Images, Shapes, and Forms: Part 2 by Anonim Pdf

Processing, Analyzing and Learning of Images, Shapes, and Forms: Part 2, Volume 20, surveys the contemporary developments relating to the analysis and learning of images, shapes and forms, covering mathematical models and quick computational techniques. Chapter cover Alternating Diffusion: A Geometric Approach for Sensor Fusion, Generating Structured TV-based Priors and Associated Primal-dual Methods, Graph-based Optimization Approaches for Machine Learning, Uncertainty Quantification and Networks, Extrinsic Shape Analysis from Boundary Representations, Efficient Numerical Methods for Gradient Flows and Phase-field Models, Recent Advances in Denoising of Manifold-Valued Images, Optimal Registration of Images, Surfaces and Shapes, and much more. Covers contemporary developments relating to the analysis and learning of images, shapes and forms Presents mathematical models and quick computational techniques relating to the topic Provides broad coverage, with sample chapters presenting content on Alternating Diffusion and Generating Structured TV-based Priors and Associated Primal-dual Methods

Processing, Analyzing and Learning of Images, Shapes, and Forms:

Xue-Cheng Tai
Processing Analyzing and Learning of Images Shapes and Forms Book PDF

Author : Xue-Cheng Tai
Publisher : North Holland
Page : 704 pages
File Size : 53,9 Mb
Release : 2019-10
Category : Electronic
ISBN : 9780444641403

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Processing, Analyzing and Learning of Images, Shapes, and Forms: by Xue-Cheng Tai Pdf

Processing, Analyzing and Learning of Images, Shapes, and Forms: Part 2, Volume 20, surveys the contemporary developments relating to the analysis and learning of images, shapes and forms, covering mathematical models and quick computational techniques. Chapter cover Alternating Diffusion: A Geometric Approach for Sensor Fusion, Generating Structured TV-based Priors and Associated Primal-dual Methods, Graph-based Optimization Approaches for Machine Learning, Uncertainty Quantification and Networks, Extrinsic Shape Analysis from Boundary Representations, Efficient Numerical Methods for Gradient Flows and Phase-field Models, Recent Advances in Denoising of Manifold-Valued Images, Optimal Registration of Images, Surfaces and Shapes, and much more. Covers contemporary developments relating to the analysis and learning of images, shapes and forms Presents mathematical models and quick computational techniques relating to the topic Provides broad coverage, with sample chapters presenting content on Alternating Diffusion and Generating Structured TV-based Priors and Associated Primal-dual Methods

Regularized Image Reconstruction in Parallel MRI with MATLAB

Joseph Suresh Paul,Raji Susan Mathew
Regularized Image Reconstruction in Parallel MRI with MATLAB Book PDF

Author : Joseph Suresh Paul,Raji Susan Mathew
Publisher : CRC Press
Page : 306 pages
File Size : 46,5 Mb
Release : 2019-11-05
Category : Medical
ISBN : 9781351029254

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Regularized Image Reconstruction in Parallel MRI with MATLAB by Joseph Suresh Paul,Raji Susan Mathew Pdf

Regularization becomes an integral part of the reconstruction process in accelerated parallel magnetic resonance imaging (pMRI) due to the need for utilizing the most discriminative information in the form of parsimonious models to generate high quality images with reduced noise and artifacts. Apart from providing a detailed overview and implementation details of various pMRI reconstruction methods, Regularized image reconstruction in parallel MRI with MATLAB examples interprets regularized image reconstruction in pMRI as a means to effectively control the balance between two specific types of error signals to either improve the accuracy in estimation of missing samples, or speed up the estimation process. The first type corresponds to the modeling error between acquired and their estimated values. The second type arises due to the perturbation of k-space values in autocalibration methods or sparse approximation in the compressed sensing based reconstruction model. Features: Provides details for optimizing regularization parameters in each type of reconstruction. Presents comparison of regularization approaches for each type of pMRI reconstruction. Includes discussion of case studies using clinically acquired data. MATLAB codes are provided for each reconstruction type. Contains method-wise description of adapting regularization to optimize speed and accuracy. This book serves as a reference material for researchers and students involved in development of pMRI reconstruction methods. Industry practitioners concerned with how to apply regularization in pMRI reconstruction will find this book most useful.

Scale Space and Variational Methods in Computer Vision

Luca Calatroni,Marco Donatelli,Serena Morigi,Marco Prato,Matteo Santacesaria
Scale Space and Variational Methods in Computer Vision Book PDF

Author : Luca Calatroni,Marco Donatelli,Serena Morigi,Marco Prato,Matteo Santacesaria
Publisher : Springer Nature
Page : 767 pages
File Size : 54,5 Mb
Release : 2023-05-09
Category : Computers
ISBN : 9783031319754

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Scale Space and Variational Methods in Computer Vision by Luca Calatroni,Marco Donatelli,Serena Morigi,Marco Prato,Matteo Santacesaria Pdf

This book constitutes the proceedings of the 9th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2023, which took place in Santa Margherita di Pula, Italy, in May 2023. The 57 papers presented in this volume were carefully reviewed and selected from 72 submissions. They were organized in topical sections as follows: Inverse Problems in Imaging; Machine and Deep Learning in Imaging; Optimization for Imaging: Theory and Methods; Scale Space, PDEs, Flow, Motion and Registration.

Large-Scale Convex Optimization

Ernest K. Ryu,Wotao Yin
Large Scale Convex Optimization Book PDF

Author : Ernest K. Ryu,Wotao Yin
Publisher : Cambridge University Press
Page : 320 pages
File Size : 53,7 Mb
Release : 2022-12-01
Category : Mathematics
ISBN : 9781009191067

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Large-Scale Convex Optimization by Ernest K. Ryu,Wotao Yin Pdf

Starting from where a first course in convex optimization leaves off, this text presents a unified analysis of first-order optimization methods – including parallel-distributed algorithms – through the abstraction of monotone operators. With the increased computational power and availability of big data over the past decade, applied disciplines have demanded that larger and larger optimization problems be solved. This text covers the first-order convex optimization methods that are uniquely effective at solving these large-scale optimization problems. Readers will have the opportunity to construct and analyze many well-known classical and modern algorithms using monotone operators, and walk away with a solid understanding of the diverse optimization algorithms. Graduate students and researchers in mathematical optimization, operations research, electrical engineering, statistics, and computer science will appreciate this concise introduction to the theory of convex optimization algorithms.

Accelerated Optimization for Machine Learning

Zhouchen Lin,Huan Li,Cong Fang
Accelerated Optimization for Machine Learning Book PDF

Author : Zhouchen Lin,Huan Li,Cong Fang
Publisher : Springer Nature
Page : 286 pages
File Size : 46,7 Mb
Release : 2020-05-29
Category : Computers
ISBN : 9789811529108

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Accelerated Optimization for Machine Learning by Zhouchen Lin,Huan Li,Cong Fang Pdf

This book on optimization includes forewords by Michael I. Jordan, Zongben Xu and Zhi-Quan Luo. Machine learning relies heavily on optimization to solve problems with its learning models, and first-order optimization algorithms are the mainstream approaches. The acceleration of first-order optimization algorithms is crucial for the efficiency of machine learning. Written by leading experts in the field, this book provides a comprehensive introduction to, and state-of-the-art review of accelerated first-order optimization algorithms for machine learning. It discusses a variety of methods, including deterministic and stochastic algorithms, where the algorithms can be synchronous or asynchronous, for unconstrained and constrained problems, which can be convex or non-convex. Offering a rich blend of ideas, theories and proofs, the book is up-to-date and self-contained. It is an excellent reference resource for users who are seeking faster optimization algorithms, as well as for graduate students and researchers wanting to grasp the frontiers of optimization in machine learning in a short time.

Alternating Direction Method of Multipliers for Machine Learning

Zhouchen Lin,Huan Li,Cong Fang
Alternating Direction Method of Multipliers for Machine Learning Book PDF

Author : Zhouchen Lin,Huan Li,Cong Fang
Publisher : Springer Nature
Page : 274 pages
File Size : 55,6 Mb
Release : 2022-06-15
Category : Computers
ISBN : 9789811698408

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Alternating Direction Method of Multipliers for Machine Learning by Zhouchen Lin,Huan Li,Cong Fang Pdf

Machine learning heavily relies on optimization algorithms to solve its learning models. Constrained problems constitute a major type of optimization problem, and the alternating direction method of multipliers (ADMM) is a commonly used algorithm to solve constrained problems, especially linearly constrained ones. Written by experts in machine learning and optimization, this is the first book providing a state-of-the-art review on ADMM under various scenarios, including deterministic and convex optimization, nonconvex optimization, stochastic optimization, and distributed optimization. Offering a rich blend of ideas, theories and proofs, the book is up-to-date and self-contained. It is an excellent reference book for users who are seeking a relatively universal algorithm for constrained problems. Graduate students or researchers can read it to grasp the frontiers of ADMM in machine learning in a short period of time.

Advanced Low-Cost Separation Techniques in Interface Science

George Z. Kyzas,Athanasios C. Mitropoulos
Advanced Low Cost Separation Techniques in Interface Science Book PDF

Author : George Z. Kyzas,Athanasios C. Mitropoulos
Publisher : Academic Press
Page : 360 pages
File Size : 45,5 Mb
Release : 2019-08-24
Category : Science
ISBN : 9780128141793

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Advanced Low-Cost Separation Techniques in Interface Science by George Z. Kyzas,Athanasios C. Mitropoulos Pdf

Advanced Low-Cost Separation Techniques in Interface Science, Volume 30 helps scientists and researchers in academia and industry gain expert knowledge on how to use separation techniques at minimal cost and energy usage. It handles a broad range of highly relevant topics, including modern flotation techniques, low-cost materials in liquid-and gas-phase adsorption, new trends in molecular imprinting, graphenes in separation, nanobubbles and biopolymers in interface science, the reuse of biomaterials, green techniques for wastewaters, and modeling in environmental interfaces. The book shows that these techniques can be both attractive for both research and industrial purposes. It is intended for chemical engineers working in wastewater treatment industries, membrane industries, pharmaceutical industries, textile or tanneries industries, hybrid-topic industries and energy industries. Focuses on cost and energy saving separation techniques in interface science Discusses multiple techniques, including flotation, adsorption, materials synthesis, and more Combines, in a single source, separation techniques, advanced methodologies, and the low-cost potential of the techniques Describes techniques that are attractive for both research and industrial purposes

Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging

Ke Chen,Carola-Bibiane Schönlieb,Xue-Cheng Tai,Laurent Younes
Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging Book PDF

Author : Ke Chen,Carola-Bibiane Schönlieb,Xue-Cheng Tai,Laurent Younes
Publisher : Springer Nature
Page : 1981 pages
File Size : 43,6 Mb
Release : 2023-02-24
Category : Mathematics
ISBN : 9783030986612

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Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging by Ke Chen,Carola-Bibiane Schönlieb,Xue-Cheng Tai,Laurent Younes Pdf

This handbook gathers together the state of the art on mathematical models and algorithms for imaging and vision. Its emphasis lies on rigorous mathematical methods, which represent the optimal solutions to a class of imaging and vision problems, and on effective algorithms, which are necessary for the methods to be translated to practical use in various applications. Viewing discrete images as data sampled from functional surfaces enables the use of advanced tools from calculus, functions and calculus of variations, and nonlinear optimization, and provides the basis of high-resolution imaging through geometry and variational models. Besides, optimization naturally connects traditional model-driven approaches to the emerging data-driven approaches of machine and deep learning. No other framework can provide comparable accuracy and precision to imaging and vision. Written by leading researchers in imaging and vision, the chapters in this handbook all start with gentle introductions, which make this work accessible to graduate students. For newcomers to the field, the book provides a comprehensive and fast-track introduction to the content, to save time and get on with tackling new and emerging challenges. For researchers, exposure to the state of the art of research works leads to an overall view of the entire field so as to guide new research directions and avoid pitfalls in moving the field forward and looking into the next decades of imaging and information services. This work can greatly benefit graduate students, researchers, and practitioners in imaging and vision; applied mathematicians; medical imagers; engineers; and computer scientists.

Nanoscale Photonic Imaging

Tim Salditt,Alexander Egner,D. Russell Luke
Nanoscale Photonic Imaging Book PDF

Author : Tim Salditt,Alexander Egner,D. Russell Luke
Publisher : Springer Nature
Page : 634 pages
File Size : 51,6 Mb
Release : 2020-06-09
Category : Science
ISBN : 9783030344139

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Nanoscale Photonic Imaging by Tim Salditt,Alexander Egner,D. Russell Luke Pdf

This open access book, edited and authored by a team of world-leading researchers, provides a broad overview of advanced photonic methods for nanoscale visualization, as well as describing a range of fascinating in-depth studies. Introductory chapters cover the most relevant physics and basic methods that young researchers need to master in order to work effectively in the field of nanoscale photonic imaging, from physical first principles, to instrumentation, to mathematical foundations of imaging and data analysis. Subsequent chapters demonstrate how these cutting edge methods are applied to a variety of systems, including complex fluids and biomolecular systems, for visualizing their structure and dynamics, in space and on timescales extending over many orders of magnitude down to the femtosecond range. Progress in nanoscale photonic imaging in Göttingen has been the sum total of more than a decade of work by a wide range of scientists and mathematicians across disciplines, working together in a vibrant collaboration of a kind rarely matched. This volume presents the highlights of their research achievements and serves as a record of the unique and remarkable constellation of contributors, as well as looking ahead at the future prospects in this field. It will serve not only as a useful reference for experienced researchers but also as a valuable point of entry for newcomers.

Numerical Simulation of Incompressible Viscous Flow

Roland Glowinski,Tsorng-Whay Pan
Numerical Simulation of Incompressible Viscous Flow Book PDF

Author : Roland Glowinski,Tsorng-Whay Pan
Publisher : Walter de Gruyter GmbH & Co KG
Page : 232 pages
File Size : 46,9 Mb
Release : 2022-09-19
Category : Mathematics
ISBN : 9783110785012

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Numerical Simulation of Incompressible Viscous Flow by Roland Glowinski,Tsorng-Whay Pan Pdf

This text on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to split complicated computational fluid dynamics problems into a sequence of simpler sub-problems. A methodology for solving more advanced applications such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid is also presented.

Compressed Sensing and Its Applications

Holger Boche,Giuseppe Caire,Robert Calderbank,Gitta Kutyniok,Rudolf Mathar,Philipp Petersen
Compressed Sensing and Its Applications Book PDF

Author : Holger Boche,Giuseppe Caire,Robert Calderbank,Gitta Kutyniok,Rudolf Mathar,Philipp Petersen
Publisher : Birkhäuser
Page : 305 pages
File Size : 40,7 Mb
Release : 2019-08-13
Category : Mathematics
ISBN : 9783319730745

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Compressed Sensing and Its Applications by Holger Boche,Giuseppe Caire,Robert Calderbank,Gitta Kutyniok,Rudolf Mathar,Philipp Petersen Pdf

The chapters in this volume highlight the state-of-the-art of compressed sensing and are based on talks given at the third international MATHEON conference on the same topic, held from December 4-8, 2017 at the Technical University in Berlin. In addition to methods in compressed sensing, chapters provide insights into cutting edge applications of deep learning in data science, highlighting the overlapping ideas and methods that connect the fields of compressed sensing and deep learning. Specific topics covered include: Quantized compressed sensing Classification Machine learning Oracle inequalities Non-convex optimization Image reconstruction Statistical learning theory This volume will be a valuable resource for graduate students and researchers in the areas of mathematics, computer science, and engineering, as well as other applied scientists exploring potential applications of compressed sensing.

Progress in Industrial Mathematics at ECMI 2016

Peregrina Quintela,Patricia Barral,Dolores Gómez,Francisco J. Pena,Jerónimo Rodríguez,Pilar Salgado,Miguel E. Vázquez-Méndez
Progress in Industrial Mathematics at ECMI 2016 Book PDF

Author : Peregrina Quintela,Patricia Barral,Dolores Gómez,Francisco J. Pena,Jerónimo Rodríguez,Pilar Salgado,Miguel E. Vázquez-Méndez
Publisher : Springer
Page : 782 pages
File Size : 53,7 Mb
Release : 2018-03-26
Category : Mathematics
ISBN : 9783319630823

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Progress in Industrial Mathematics at ECMI 2016 by Peregrina Quintela,Patricia Barral,Dolores Gómez,Francisco J. Pena,Jerónimo Rodríguez,Pilar Salgado,Miguel E. Vázquez-Méndez Pdf

This book addresses mathematics in a wide variety of applications, ranging from problems in electronics, energy and the environment, to mechanics and mechatronics. Using the classification system defined in the EU Framework Programme for Research and Innovation H2020, several of the topics covered belong to the challenge climate action, environment, resource efficiency and raw materials; and some to health, demographic change and wellbeing; while others belong to Europe in a changing world – inclusive, innovative and reflective societies. The 19th European Conference on Mathematics for Industry, ECMI2016, was held in Santiago de Compostela, Spain in June 2016. The proceedings of this conference include the plenary lectures, ECMI awards and special lectures, mini-symposia (including the description of each mini-symposium) and contributed talks. The ECMI conferences are organized by the European Consortium for Mathematics in Industry with the aim of promoting interaction between academy and industry, leading to innovation in both fields and providing unique opportunities to discuss the latest ideas, problems and methodologies, and contributing to the advancement of science and technology. They also encourage industrial sectors to propose challenging problems where mathematicians can provide insights and fresh perspectives. Lastly, the ECMI conferences are one of the main forums in which significant advances in industrial mathematics are presented, bringing together prominent figures from business, science and academia to promote the use of innovative mathematics in industry.

Progress in Mathematical Fluid Dynamics

Tristan Buckmaster,Sunčica Čanić,Peter Constantin,Alexander A. Kiselev
Progress in Mathematical Fluid Dynamics Book PDF

Author : Tristan Buckmaster,Sunčica Čanić,Peter Constantin,Alexander A. Kiselev
Publisher : Springer Nature
Page : 169 pages
File Size : 44,5 Mb
Release : 2020-09-28
Category : Mathematics
ISBN : 9783030548995

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Progress in Mathematical Fluid Dynamics by Tristan Buckmaster,Sunčica Čanić,Peter Constantin,Alexander A. Kiselev Pdf

This volume brings together four contributions to mathematical fluid mechanics, a classical but still highly active research field. The contributions cover not only the classical Navier-Stokes equations and Euler equations, but also some simplified models, and fluids interacting with elastic walls. The questions addressed in the lectures range from the basic problems of existence/blow-up of weak and more regular solutions, to modeling and aspects related to numerical methods. This book covers recent advances in several important areas of fluid mechanics. An output of the CIME Summer School "Progress in mathematical fluid mechanics" held in Cetraro in 2019, it offers a collection of lecture notes prepared by T. Buckmaster, (Princeton), S. Canic (UCB) P. Constantin (Princeton) and A. Kiselev (Duke). These notes will be a valuable asset for researchers and advanced graduate students in several aspects of mathematicsl fluid mechanics.