A Regularized Active-Set method For Sparse Convex Quadratic Programming
Author :
Publisher : Stanford University
Page : 128 pages
File Size : 36,78 MB
Release :
Category :
ISBN :
Author :
Publisher : Stanford University
Page : 128 pages
File Size : 36,78 MB
Release :
Category :
ISBN :
Author : Thomas Wick
Publisher : Walter de Gruyter GmbH & Co KG
Page : 358 pages
File Size : 38,26 MB
Release : 2020-10-12
Category : Mathematics
ISBN : 3110497395
This monograph is centered on mathematical modeling, innovative numerical algorithms and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art phase-field fracture models are complemented with prototype explanations and rigorous numerical analysis. These developments are embedded into a carefully designed balance between scientific computing aspects and numerical modeling of nonstationary coupled variational inequality systems. Therein, a focus is on nonlinear solvers, goal-oriented error estimation, predictor-corrector adaptivity, and interface conditions. Engineering applications show the potential for tackling practical problems within the fields of solid mechanics, porous media, and fluidstructure interaction.
Author : Jon Lee
Publisher : Springer Science & Business Media
Page : 687 pages
File Size : 23,35 MB
Release : 2011-12-02
Category : Mathematics
ISBN : 1461419271
Many engineering, operations, and scientific applications include a mixture of discrete and continuous decision variables and nonlinear relationships involving the decision variables that have a pronounced effect on the set of feasible and optimal solutions. Mixed-integer nonlinear programming (MINLP) problems combine the numerical difficulties of handling nonlinear functions with the challenge of optimizing in the context of nonconvex functions and discrete variables. MINLP is one of the most flexible modeling paradigms available for optimization; but because its scope is so broad, in the most general cases it is hopelessly intractable. Nonetheless, an expanding body of researchers and practitioners — including chemical engineers, operations researchers, industrial engineers, mechanical engineers, economists, statisticians, computer scientists, operations managers, and mathematical programmers — are interested in solving large-scale MINLP instances.
Author : Ke-Lin Du
Publisher : Springer Nature
Page : 996 pages
File Size : 11,98 MB
Release : 2019-09-12
Category : Mathematics
ISBN : 1447174526
This book provides a broad yet detailed introduction to neural networks and machine learning in a statistical framework. A single, comprehensive resource for study and further research, it explores the major popular neural network models and statistical learning approaches with examples and exercises and allows readers to gain a practical working understanding of the content. This updated new edition presents recently published results and includes six new chapters that correspond to the recent advances in computational learning theory, sparse coding, deep learning, big data and cloud computing. Each chapter features state-of-the-art descriptions and significant research findings. The topics covered include: • multilayer perceptron; • the Hopfield network; • associative memory models;• clustering models and algorithms; • t he radial basis function network; • recurrent neural networks; • nonnegative matrix factorization; • independent component analysis; •probabilistic and Bayesian networks; and • fuzzy sets and logic. Focusing on the prominent accomplishments and their practical aspects, this book provides academic and technical staff, as well as graduate students and researchers with a solid foundation and comprehensive reference on the fields of neural networks, pattern recognition, signal processing, and machine learning.
Author : Stephen Boyd
Publisher : Now Publishers Inc
Page : 138 pages
File Size : 40,12 MB
Release : 2011
Category : Computers
ISBN : 160198460X
Surveys the theory and history of the alternating direction method of multipliers, and discusses its applications to a wide variety of statistical and machine learning problems of recent interest, including the lasso, sparse logistic regression, basis pursuit, covariance selection, support vector machines, and many others.
Author : Zhu Han
Publisher : Cambridge University Press
Page : 375 pages
File Size : 21,31 MB
Release : 2017-04-27
Category : Technology & Engineering
ISBN : 1108155944
This unique text helps make sense of big data in engineering applications using tools and techniques from signal processing. It presents fundamental signal processing theories and software implementations, reviews current research trends and challenges, and describes the techniques used for analysis, design and optimization. Readers will learn about key theoretical issues such as data modelling and representation, scalable and low-complexity information processing and optimization, tensor and sublinear algorithms, and deep learning and software architecture, and their application to a wide range of engineering scenarios. Applications discussed in detail include wireless networking, smart grid systems, and sensor networks and cloud computing. This is the ideal text for researchers and practising engineers wanting to solve practical problems involving large amounts of data, and for students looking to grasp the fundamentals of big data analytics.
Author : Stephen P. Boyd
Publisher : Cambridge University Press
Page : 744 pages
File Size : 37,45 MB
Release : 2004-03-08
Category : Business & Economics
ISBN : 9780521833783
Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency. The book begins with the basic elements of convex sets and functions, and then describes various classes of convex optimization problems. Duality and approximation techniques are then covered, as are statistical estimation techniques. Various geometrical problems are then presented, and there is detailed discussion of unconstrained and constrained minimization problems, and interior-point methods. The focus of the book is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. It contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance and economics.
Author : Francis Bach
Publisher :
Page : 124 pages
File Size : 41,69 MB
Release : 2011-12-23
Category : Computers
ISBN : 9781601985101
Sparse estimation methods are aimed at using or obtaining parsimonious representations of data or models. They were first dedicated to linear variable selection but numerous extensions have now emerged such as structured sparsity or kernel selection. It turns out that many of the related estimation problems can be cast as convex optimization problems by regularizing the empirical risk with appropriate nonsmooth norms. Optimization with Sparsity-Inducing Penalties presents optimization tools and techniques dedicated to such sparsity-inducing penalties from a general perspective. It covers proximal methods, block-coordinate descent, reweighted ?2-penalized techniques, working-set and homotopy methods, as well as non-convex formulations and extensions, and provides an extensive set of experiments to compare various algorithms from a computational point of view. The presentation of Optimization with Sparsity-Inducing Penalties is essentially based on existing literature, but the process of constructing a general framework leads naturally to new results, connections and points of view. It is an ideal reference on the topic for anyone working in machine learning and related areas.
Author :
Publisher :
Page : 2240 pages
File Size : 36,89 MB
Release : 1997
Category : Electrical engineering
ISBN :
Author : Francesco Borrelli
Publisher : Cambridge University Press
Page : 447 pages
File Size : 36,72 MB
Release : 2017-06-22
Category : Mathematics
ISBN : 1107016886
With a simple approach that includes real-time applications and algorithms, this book covers the theory of model predictive control (MPC).