Perturbations, Optimization, and Statistics

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Author :
Publisher : MIT Press
ISBN 13 : 0262549948
Total Pages : 413 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Perturbations, Optimization, and Statistics by : Tamir Hazan

Download or read book Perturbations, Optimization, and Statistics written by Tamir Hazan and published by MIT Press. This book was released on 2023-12-05 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Programming with Data Perturbations II, Second Edition

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Author :
Publisher : CRC Press
ISBN 13 : 1000116883
Total Pages : 168 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Mathematical Programming with Data Perturbations II, Second Edition by : Anthony V. Fiacco

Download or read book Mathematical Programming with Data Perturbations II, Second Edition written by Anthony V. Fiacco and published by CRC Press. This book was released on 2020-09-23 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 II, Second Edition

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Author :
Publisher : CRC Press
ISBN 13 : 1000153436
Total Pages : 174 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Mathematical Programming with Data Perturbations II, Second Edition by : Fiacco

Download or read book Mathematical Programming with Data Perturbations II, Second Edition written by Fiacco and published by CRC Press. This book was released on 2020-09-24 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 II

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Publisher :
ISBN 13 :
Total Pages : 155 pages
Book Rating : 4.:/5 (258 download)

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Book Synopsis Mathematical Programming with Data Perturbations II by : Anthony V. Fiacco

Download or read book Mathematical Programming with Data Perturbations II written by Anthony V. Fiacco and published by . This book was released on 1983 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Programming with Data Perturbations

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Author :
Publisher : CRC Press
ISBN 13 : 1000117111
Total Pages : 456 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Mathematical Programming with Data Perturbations by : Anthony V. Fiacco

Download or read book Mathematical Programming with Data Perturbations written by Anthony V. Fiacco and published by CRC Press. This book was released on 2020-09-23 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Author :
Publisher : CRC Press
ISBN 13 : 1000153665
Total Pages : 460 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Mathematical Programming with Data Perturbations by : Anthony V. Fiacco

Download or read book Mathematical Programming with Data Perturbations written by Anthony V. Fiacco and published by CRC Press. This book was released on 2020-09-24 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 II, Second Edition

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Author :
Publisher : CRC Press
ISBN 13 : 9781138404014
Total Pages : pages
Book Rating : 4.4/5 (4 download)

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Book Synopsis Mathematical Programming with Data Perturbations II, Second Edition by : Fiacco

Download or read book Mathematical Programming with Data Perturbations II, Second Edition written by Fiacco and published by CRC Press. This book was released on 2017-07-07 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Perturbation Analysis of Optimization Problems

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461213940
Total Pages : 618 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Perturbation Analysis of Optimization Problems by : J.Frederic Bonnans

Download or read book Perturbation Analysis of Optimization Problems written by J.Frederic Bonnans and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 I

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Author :
Publisher :
ISBN 13 :
Total Pages : 262 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Programming with Data Perturbations I by : Anthony V. Fiacco

Download or read book Mathematical Programming with Data Perturbations I written by Anthony V. Fiacco and published by . This book was released on 1982 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic results; Applications and interfaces.

Advanced Data Mining and Applications

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Publisher : Springer Nature
ISBN 13 : 3031466748
Total Pages : 717 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Advanced Data Mining and Applications by : Xiaochun Yang

Download or read book Advanced Data Mining and Applications written by Xiaochun Yang and published by Springer Nature. This book was released on 2023-12-06 with total page 717 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 19th International Conference on Advanced Data Mining and Applications, ADMA 2023, held in Shenyang, China, during August 21–23, 2023. The 216 full papers included in this book were carefully reviewed and selected from 503 submissions. They were organized in topical sections as follows: Data mining foundations, Grand challenges of data mining, Parallel and distributed data mining algorithms, Mining on data streams, Graph mining and Spatial data mining.

Operations Research ’91

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Publisher : Springer Science & Business Media
ISBN 13 : 3642484174
Total Pages : 663 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Operations Research ’91 by : Peter Gritzmann

Download or read book Operations Research ’91 written by Peter Gritzmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume comprises a collection of 172 extented abstracts of talks presented at the 16th Symposium on Operations Rese- arch held at the University of Trier in September 1991. It is designated to serve as a quickly published documentation of the scientific activities of the conference. Subjects and areas touched upon include theory, modelling and computational methods in optimization, combinatorial op- timization and discrete mathematics, combinatorial problems in VLSI, scientific computing, stochastic and dynamic opti- mization, queuing, scheduling, stochastics and econometrics, mathematical economics and game theory, utility, risk, insu- rance, financial engineering, computer science in business and economics, knowledge engineering and production and ma- nufacturing.

Constructive Nonsmooth Analysis and Related Topics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461486157
Total Pages : 258 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Constructive Nonsmooth Analysis and Related Topics by : Vladimir F. Demyanov

Download or read book Constructive Nonsmooth Analysis and Related Topics written by Vladimir F. Demyanov and published by Springer Science & Business Media. This book was released on 2013-11-12 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of papers based on lectures and presentations delivered at the International Conference on Constructive Nonsmooth Analysis (CNSA) held in St. Petersburg (Russia) from June 18-23, 2012. This conference was organized to mark the 50th anniversary of the birth of nonsmooth analysis and nondifferentiable optimization and was dedicated to J.-J. Moreau and the late B.N. Pshenichnyi, A.M. Rubinov, and N.Z. Shor, whose contributions to NSA and NDO remain invaluable. The first four chapters of the book are devoted to the theory of nonsmooth analysis. Chapters 5-8 contain new results in nonsmooth mechanics and calculus of variations. Chapters 9-13 are related to nondifferentiable optimization, and the volume concludes with four chapters containing interesting and important historical chapters, including tributes to three giants of nonsmooth analysis, convexity, and optimization: Alexandr Alexandrov, Leonid Kantorovich, and Alex Rubinov. The last chapter provides an overview and important snapshots of the 50-year history of convex analysis and optimization.

Nature-Inspired Algorithms for Optimisation

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Publisher : Springer
ISBN 13 : 3642002676
Total Pages : 516 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Nature-Inspired Algorithms for Optimisation by : Raymond Chiong

Download or read book Nature-Inspired Algorithms for Optimisation written by Raymond Chiong and published by Springer. This book was released on 2009-05-02 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nature-Inspired Algorithms have been gaining much popularity in recent years due to the fact that many real-world optimisation problems have become increasingly large, complex and dynamic. The size and complexity of the problems nowadays require the development of methods and solutions whose efficiency is measured by their ability to find acceptable results within a reasonable amount of time, rather than an ability to guarantee the optimal solution. This volume 'Nature-Inspired Algorithms for Optimisation' is a collection of the latest state-of-the-art algorithms and important studies for tackling various kinds of optimisation problems. It comprises 18 chapters, including two introductory chapters which address the fundamental issues that have made optimisation problems difficult to solve and explain the rationale for seeking inspiration from nature. The contributions stand out through their novelty and clarity of the algorithmic descriptions and analyses, and lead the way to interesting and varied new applications.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 964 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2002 with total page 964 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Modeling Techniques and Data Analysis 1

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Publisher : John Wiley & Sons
ISBN 13 : 1786306735
Total Pages : 306 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Applied Modeling Techniques and Data Analysis 1 by : Yiannis Dimotikalis

Download or read book Applied Modeling Techniques and Data Analysis 1 written by Yiannis Dimotikalis and published by John Wiley & Sons. This book was released on 2021-05-11 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: BIG DATA, ARTIFICIAL INTELLIGENCE AND DATA ANALYSIS SET Coordinated by Jacques Janssen Data analysis is a scientific field that continues to grow enormously, most notably over the last few decades, following rapid growth within the tech industry, as well as the wide applicability of computational techniques alongside new advances in analytic tools. Modeling enables data analysts to identify relationships, make predictions, and to understand, interpret and visualize the extracted information more strategically. This book includes the most recent advances on this topic, meeting increasing demand from wide circles of the scientific community. Applied Modeling Techniques and Data Analysis 1 is a collective work by a number of leading scientists, analysts, engineers, mathematicians and statisticians, working on the front end of data analysis and modeling applications. The chapters cover a cross section of current concerns and research interests in the above scientific areas. The collected material is divided into appropriate sections to provide the reader with both theoretical and applied information on data analysis methods, models and techniques, along with appropriate applications.

Nonlinearly Perturbed Semi-Markov Processes

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Author :
Publisher : Springer
ISBN 13 : 3319609882
Total Pages : 143 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Nonlinearly Perturbed Semi-Markov Processes by : Dmitrii Silvestrov

Download or read book Nonlinearly Perturbed Semi-Markov Processes written by Dmitrii Silvestrov and published by Springer. This book was released on 2017-09-06 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents new methods of asymptotic analysis for nonlinearly perturbed semi-Markov processes with a finite phase space. These methods are based on special time-space screening procedures for sequential phase space reduction of semi-Markov processes combined with the systematical use of operational calculus for Laurent asymptotic expansions. Effective recurrent algorithms are composed for getting asymptotic expansions, without and with explicit upper bounds for remainders, for power moments of hitting times, stationary and conditional quasi-stationary distributions for nonlinearly perturbed semi-Markov processes. These results are illustrated by asymptotic expansions for birth-death-type semi-Markov processes, which play an important role in various applications. The book will be a useful contribution to the continuing intensive studies in the area. It is an essential reference for theoretical and applied researchers in the field of stochastic processes and their applications that will contribute to continuing extensive studies in the area and remain relevant for years to come.

Perturbation Methods with Applications in Science and Engineering

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Author :
Publisher : BoD – Books on Demand
ISBN 13 : 1789842557
Total Pages : 170 pages
Book Rating : 4.7/5 (898 download)

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Book Synopsis Perturbation Methods with Applications in Science and Engineering by : İlkay Bakırtaş

Download or read book Perturbation Methods with Applications in Science and Engineering written by İlkay Bakırtaş and published by BoD – Books on Demand. This book was released on 2018-10-17 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: The governing equations of mathematical, chemical, biological, mechanical and economical models are often nonlinear and too complex to be solved analytically. Perturbation theory provides effective tools for obtaining approximate analytical solutions to a wide variety of such nonlinear problems, which may include differential or difference equations. In this book, we aim to present the recent developments and applications of the perturbation theory for treating problems in applied mathematics, physics and engineering. The eight chapters cover a variety of topics related to perturbation methods. The book is intended to draw attention of researchers and scientist in academia and industry.