Optimization With Data Perturbations
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Optimization With Data Perturbations
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Author : Doug E. Ward
language : en
Publisher:
Release Date : 2001
Optimization With Data Perturbations written by Doug E. Ward and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
Optimization With Data Perturbations
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Author : Anthony V. Fiacco
language : en
Publisher:
Release Date : 1990
Optimization With Data Perturbations written by Anthony V. Fiacco and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
Optimization With Data Perturbations Ii
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Author : Doug E. Ward
language : en
Publisher:
Release Date : 2001
Optimization With Data Perturbations Ii written by Doug E. Ward and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematical optimization categories.
Perturbations Optimization And Statistics
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Author : Tamir Hazan
language : en
Publisher: MIT Press
Release Date : 2023-12-05
Perturbations Optimization And Statistics written by Tamir Hazan and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-05 with Computers categories.
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.
Learning And Optimization In The Face Of Data Perturbations
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Author : Matthew James Staib
language : en
Publisher:
Release Date : 2020
Learning And Optimization In The Face Of Data Perturbations written by Matthew James Staib and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.
Many problems in the machine learning pipeline boil down to maximizing the expectation of a function over a distribution. This is the classic problem of stochastic optimization. There are two key challenges in solving such stochastic optimization problems: 1) the function is often non-convex, making optimization difficult; 2) the distribution is not known exactly, but may be perturbed adversarially or is otherwise obscured. Each issue is individually so challenging to warrant a substantial accompanying body of work addressing it, but addressing them simultaneously remains difficult. This thesis addresses problems at the intersection of non-convexity and data perturbations. We study the intersection of the two issues along two dual lines of inquiry: first, we build perturbation-aware algorithms with guarantees for non-convex problems; second, we seek to understand how data perturbations can be leveraged to enhance non-convex optimization algorithms. Along the way, we will study new types of data perturbations and seek to understand their connection to generalization.
Mathematical Programming With Data Perturbations Ii Second Edition
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Author : Fiacco
language : en
Publisher: CRC Press
Release Date : 2020-09-24
Mathematical Programming With Data Perturbations Ii Second Edition written by Fiacco and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-24 with Mathematics categories.
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.
Mathematical Programming With Data Perturbations
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Author : Anthony V. Fiacco
language : en
Publisher: CRC Press
Release Date : 2020-09-23
Mathematical Programming With Data Perturbations written by Anthony V. Fiacco and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-23 with Mathematics categories.
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.
Mathematical Programming With Data Perturbations I
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Author : Anthony V. Fiacco
language : en
Publisher:
Release Date : 1982
Mathematical Programming With Data Perturbations I written by Anthony V. Fiacco and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.
Basic results; Applications and interfaces.
Perturbation Analysis Of Optimization Problems
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Author : J.Frederic Bonnans
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-22
Perturbation Analysis Of Optimization Problems written by J.Frederic Bonnans 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 2013-11-22 with Mathematics categories.
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.
Mathematical Programming With Data Perturbations Ii
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Author : Anthony V. Fiacco
language : en
Publisher:
Release Date : 1983
Mathematical Programming With Data Perturbations Ii written by Anthony V. Fiacco and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.