Perturbations Optimization And Statistics PDF Download
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Author | : Tamir Hazan |
Publisher | : MIT Press |
Total Pages | : 413 |
Release | : 2023-12-05 |
Genre | : Computers |
ISBN | : 0262549948 |
Download Perturbations, Optimization, and Statistics Book in PDF, ePub and Kindle
A description of perturbation-based methods developed in machine learning to augment novel optimization methods with strong statistical guarantees. In nearly all machine learning, decisions must be made given current knowledge. Surprisingly, making what is believed to be the best decision is not always the best strategy, even when learning in a supervised learning setting. An emerging body of work on learning under different rules applies perturbations to decision and learning procedures. These methods provide simple and highly efficient learning rules with improved theoretical guarantees. This book describes perturbation-based methods developed in machine learning to augment novel optimization methods with strong statistical guarantees, offering readers a state-of-the-art overview. Chapters address recent modeling ideas that have arisen within the perturbations framework, including Perturb & MAP, herding, and the use of neural networks to map generic noise to distribution over highly structured data. They describe new learning procedures for perturbation models, including an improved EM algorithm and a learning algorithm that aims to match moments of model samples to moments of data. They discuss understanding the relation of perturbation models to their traditional counterparts, with one chapter showing that the perturbations viewpoint can lead to new algorithms in the traditional setting. And they consider perturbation-based regularization in neural networks, offering a more complete understanding of dropout and studying perturbations in the context of deep neural networks.
Author | : J.Frederic Bonnans |
Publisher | : Springer Science & Business Media |
Total Pages | : 618 |
Release | : 2013-11-22 |
Genre | : Mathematics |
ISBN | : 1461213940 |
Download Perturbation Analysis of Optimization Problems Book in PDF, ePub and Kindle
A presentation of general results for discussing local optimality and computation of the expansion of value function and approximate solution of optimization problems, followed by their application to various fields, from physics to economics. The book is thus an opportunity for popularizing these techniques among researchers involved in other sciences, including users of optimization in a wide sense, in mechanics, physics, statistics, finance and economics. Of use to research professionals, including graduate students at an advanced level.
Author | : Anthony V. Fiacco |
Publisher | : CRC Press |
Total Pages | : 460 |
Release | : 2020-09-24 |
Genre | : Mathematics |
ISBN | : 1000153665 |
Download Mathematical Programming with Data Perturbations Book in PDF, ePub and Kindle
Presents research contributions and tutorial expositions on current methodologies for sensitivity, stability and approximation analyses of mathematical programming and related problem structures involving parameters. The text features up-to-date findings on important topics, covering such areas as the effect of perturbations on the performance of algorithms, approximation techniques for optimal control problems, and global error bounds for convex inequalities.
Author | : Anthony V. Fiacco |
Publisher | : CRC Press |
Total Pages | : 456 |
Release | : 2020-09-23 |
Genre | : Mathematics |
ISBN | : 1000117111 |
Download Mathematical Programming with Data Perturbations Book in PDF, ePub and Kindle
Presents research contributions and tutorial expositions on current methodologies for sensitivity, stability and approximation analyses of mathematical programming and related problem structures involving parameters. The text features up-to-date findings on important topics, covering such areas as the effect of perturbations on the performance of algorithms, approximation techniques for optimal control problems, and global error bounds for convex inequalities.
Author | : C. Ravindranath Pandian |
Publisher | : CRC Press |
Total Pages | : 340 |
Release | : 2003-09-26 |
Genre | : Computers |
ISBN | : 1135507163 |
Download Software Metrics Book in PDF, ePub and Kindle
The modern field of software metrics emerged from the computer modeling and "statistical thinking" services of the 1980s. As the field evolved, metrics programs were integrated with project management, and metrics grew to be a major tool in the managerial decision-making process of software companies. This book simplifies software measurement and explains its value as a tool for decision-makers at software companies. Techniques presented in Software Metrics: A Guide to Planning, Analysis, and Application are derived from best practices. The ideas are field-proven, down-to-earth, and straightforward, making it an invaluable resource for those striving for process improvement. This overview helps readers enrich their knowledge of measurements, analysis, and best practices, and demonstrates how ordinary analysis techniques can be applied to achieve extraordinary results. Easy-to-understand tools and techniques show how metrics create models that are indispensable to decision-making in the software industry.
Author | : Fiacco |
Publisher | : CRC Press |
Total Pages | : 174 |
Release | : 2020-09-24 |
Genre | : Mathematics |
ISBN | : 1000153436 |
Download Mathematical Programming with Data Perturbations II, Second Edition Book in PDF, ePub and Kindle
This book presents theoretical results, including an extension of constant rank and implicit function theorems, continuity and stability bounds results for infinite dimensional problems, and the interrelationship between optimal value conditions and shadow prices for stable and unstable programs.
Author | : Stephen Boyd |
Publisher | : Now Publishers Inc |
Total Pages | : 138 |
Release | : 2011 |
Genre | : Computers |
ISBN | : 160198460X |
Download Distributed Optimization and Statistical Learning Via the Alternating Direction Method of Multipliers Book in PDF, ePub and Kindle
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 | : Evgenij S. Levitin |
Publisher | : |
Total Pages | : 416 |
Release | : 1994-09-06 |
Genre | : Mathematics |
ISBN | : |
Download Perturbation Theory in Mathematical Programming and Its Applications Book in PDF, ePub and Kindle
Presents the author's research of local parametric optimization in the finite-dimensional case. This book provides a clear and complete formulation of the main perturbation theory problems for finite-dimensional optimization as well as new mathematical methods to analyze these problems. Using a unified approach, the author has developed a general perturbation theory for finite-dimensional extremum problems. Within the framework of this theory, methods for studying perturbed problems in zero-, first- and second-order approximations have been developed.
Author | : Stephen P. Boyd |
Publisher | : Cambridge University Press |
Total Pages | : 744 |
Release | : 2004-03-08 |
Genre | : Business & Economics |
ISBN | : 9780521833783 |
Download Convex Optimization Book in PDF, ePub and Kindle
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 | : Anthony V. Fiacco |
Publisher | : |
Total Pages | : 155 |
Release | : 1983 |
Genre | : |
ISBN | : |
Download Mathematical Programming with Data Perturbations II Book in PDF, ePub and Kindle