Nonsmooth Optimization In Honor Of The 60th Birthday Of Adil M Bagirov

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Nonsmooth Optimization in Honor of the 60th Birthday of Adil M. Bagirov

Napsu Karmitsa,Sona Taheri
Nonsmooth Optimization in Honor of the 60th Birthday of Adil M Bagirov Book PDF

Author : Napsu Karmitsa,Sona Taheri
Publisher : MDPI
Page : 116 pages
File Size : 44,5 Mb
Release : 2020-12-18
Category : Science
ISBN : 9783039438358

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Nonsmooth Optimization in Honor of the 60th Birthday of Adil M. Bagirov by Napsu Karmitsa,Sona Taheri Pdf

The aim of this book was to collect the most recent methods developed for NSO and its practical applications. The book contains seven papers: The first is the foreword by the Guest Editors giving a brief review of NSO and its real-life applications and acknowledging the outstanding contributions of Professor Adil Bagirov to both the theoretical and practical aspects of NSO. The second paper introduces a new and very efficient algorithm for solving uncertain unit-commitment (UC) problems. The third paper proposes a new nonsmooth version of the generalized damped Gauss–Newton method for solving nonlinear complementarity problems. In the fourth paper, the abs-linear representation of piecewise linear functions is extended to yield simultaneously their DC decomposition as well as the pair of generalized gradients. The fifth paper presents the use of biased-randomized algorithms as an effective methodology to cope with NP-hard and nonsmooth optimization problems in many practical applications. In the sixth paper, a problem concerning the scheduling of nuclear waste disposal is modeled as a nonsmooth multiobjective mixed-integer nonlinear optimization problem, and a novel method using the two-slope parameterized achievement scalarizing functions is introduced. Finally, the last paper considers binary classification of a multiple instance learning problem and formulates the learning problem as a nonconvex nonsmooth unconstrained optimization problem with a DC objective function.

Nonsmooth Optimization in Honor of the 60th Birthday of Adil M. Bagirov

Napsu Karmitsa,Sona Taheri
Nonsmooth Optimization in Honor of the 60th Birthday of Adil M Bagirov Book PDF

Author : Napsu Karmitsa,Sona Taheri
Publisher : Unknown
Page : 116 pages
File Size : 50,6 Mb
Release : 2020
Category : Electronic
ISBN : 3039438360

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Nonsmooth Optimization in Honor of the 60th Birthday of Adil M. Bagirov by Napsu Karmitsa,Sona Taheri Pdf

The aim of this book was to collect the most recent methods developed for NSO and its practical applications. The book contains seven papers: The first is the foreword by the Guest Editors giving a brief review of NSO and its real-life applications and acknowledging the outstanding contributions of Professor Adil Bagirov to both the theoretical and practical aspects of NSO. The second paper introduces a new and very efficient algorithm for solving uncertain unit-commitment (UC) problems. The third paper proposes a new nonsmooth version of the generalized damped Gauss-Newton method for solving nonlinear complementarity problems. In the fourth paper, the abs-linear representation of piecewise linear functions is extended to yield simultaneously their DC decomposition as well as the pair of generalized gradients. The fifth paper presents the use of biased-randomized algorithms as an effective methodology to cope with NP-hard and nonsmooth optimization problems in many practical applications. In the sixth paper, a problem concerning the scheduling of nuclear waste disposal is modeled as a nonsmooth multiobjective mixed-integer nonlinear optimization problem, and a novel method using the two-slope parameterized achievement scalarizing functions is introduced. Finally, the last paper considers binary classification of a multiple instance learning problem and formulates the learning problem as a nonconvex nonsmooth unconstrained optimization problem with a DC objective function.

Optimization in Science and Engineering

Themistocles M. Rassias,Christodoulos A. Floudas,Sergiy Butenko
Optimization in Science and Engineering Book PDF

Author : Themistocles M. Rassias,Christodoulos A. Floudas,Sergiy Butenko
Publisher : Springer
Page : 611 pages
File Size : 53,7 Mb
Release : 2014-05-29
Category : Mathematics
ISBN : 9781493908080

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Optimization in Science and Engineering by Themistocles M. Rassias,Christodoulos A. Floudas,Sergiy Butenko Pdf

Optimization in Science and Engineering is dedicated in honor of the 60th birthday of Distinguished Professor Panos M. Pardalos. Pardalos’s past and ongoing work has made a significant impact on several theoretical and applied areas in modern optimization. As tribute to the diversity of Dr. Pardalos’s work in Optimization, this book comprises a collection of contributions from experts in various fields of this rich and diverse area of science. Topics highlight recent developments and include: Deterministic global optimization Variational inequalities and equilibrium problems Approximation and complexity in numerical optimization Non-smooth optimization Statistical models and data mining Applications of optimization in medicine, energy systems, and complex network analysis This volume will be of great interest to graduate students, researchers, and practitioners, in the fields of optimization and engineering.

Numerical Nonsmooth Optimization

Adil M. Bagirov,Manlio Gaudioso,Napsu Karmitsa,Marko M. Mäkelä,Sona Taheri
Numerical Nonsmooth Optimization Book PDF

Author : Adil M. Bagirov,Manlio Gaudioso,Napsu Karmitsa,Marko M. Mäkelä,Sona Taheri
Publisher : Springer Nature
Page : 696 pages
File Size : 51,5 Mb
Release : 2020-02-28
Category : Business & Economics
ISBN : 9783030349103

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Numerical Nonsmooth Optimization by Adil M. Bagirov,Manlio Gaudioso,Napsu Karmitsa,Marko M. Mäkelä,Sona Taheri Pdf

Solving nonsmooth optimization (NSO) problems is critical in many practical applications and real-world modeling systems. The aim of this book is to survey various numerical methods for solving NSO problems and to provide an overview of the latest developments in the field. Experts from around the world share their perspectives on specific aspects of numerical NSO. The book is divided into four parts, the first of which considers general methods including subgradient, bundle and gradient sampling methods. In turn, the second focuses on methods that exploit the problem’s special structure, e.g. algorithms for nonsmooth DC programming, VU decomposition techniques, and algorithms for minimax and piecewise differentiable problems. The third part considers methods for special problems like multiobjective and mixed integer NSO, and problems involving inexact data, while the last part highlights the latest advancements in derivative-free NSO. Given its scope, the book is ideal for students attending courses on numerical nonsmooth optimization, for lecturers who teach optimization courses, and for practitioners who apply nonsmooth optimization methods in engineering, artificial intelligence, machine learning, and business. Furthermore, it can serve as a reference text for experts dealing with nonsmooth optimization.

Nonsmooth Optimization: Analysis And Algorithms With Applications To Optimal Control

Marko M Makela,Pekka Neittaanmaki
Nonsmooth Optimization Analysis And Algorithms With Applications To Optimal Control Book PDF

Author : Marko M Makela,Pekka Neittaanmaki
Publisher : World Scientific
Page : 268 pages
File Size : 47,9 Mb
Release : 1992-05-07
Category : Mathematics
ISBN : 9789814522410

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Nonsmooth Optimization: Analysis And Algorithms With Applications To Optimal Control by Marko M Makela,Pekka Neittaanmaki Pdf

This book is a self-contained elementary study for nonsmooth analysis and optimization, and their use in solution of nonsmooth optimal control problems. The first part of the book is concerned with nonsmooth differential calculus containing necessary tools for nonsmooth optimization. The second part is devoted to the methods of nonsmooth optimization and their development. A proximal bundle method for nonsmooth nonconvex optimization subject to nonsmooth constraints is constructed. In the last part nonsmooth optimization is applied to problems arising from optimal control of systems covered by partial differential equations. Several practical problems, like process control and optimal shape design problems are considered.

Introduction to Nonsmooth Optimization

Adil Bagirov,Napsu Karmitsa,Marko M. Mäkelä
Introduction to Nonsmooth Optimization Book PDF

Author : Adil Bagirov,Napsu Karmitsa,Marko M. Mäkelä
Publisher : Springer
Page : 372 pages
File Size : 40,7 Mb
Release : 2014-08-12
Category : Business & Economics
ISBN : 9783319081144

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Introduction to Nonsmooth Optimization by Adil Bagirov,Napsu Karmitsa,Marko M. Mäkelä Pdf

This book is the first easy-to-read text on nonsmooth optimization (NSO, not necessarily differentiable optimization). Solving these kinds of problems plays a critical role in many industrial applications and real-world modeling systems, for example in the context of image denoising, optimal control, neural network training, data mining, economics and computational chemistry and physics. The book covers both the theory and the numerical methods used in NSO and provide an overview of different problems arising in the field. It is organized into three parts: 1. convex and nonconvex analysis and the theory of NSO; 2. test problems and practical applications; 3. a guide to NSO software. The book is ideal for anyone teaching or attending NSO courses. As an accessible introduction to the field, it is also well suited as an independent learning guide for practitioners already familiar with the basics of optimization.

Partitional Clustering via Nonsmooth Optimization

Adil M. Bagirov,Napsu Karmitsa,Sona Taheri
Partitional Clustering via Nonsmooth Optimization Book PDF

Author : Adil M. Bagirov,Napsu Karmitsa,Sona Taheri
Publisher : Springer Nature
Page : 343 pages
File Size : 53,7 Mb
Release : 2020-02-24
Category : Technology & Engineering
ISBN : 9783030378264

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Partitional Clustering via Nonsmooth Optimization by Adil M. Bagirov,Napsu Karmitsa,Sona Taheri Pdf

This book describes optimization models of clustering problems and clustering algorithms based on optimization techniques, including their implementation, evaluation, and applications. The book gives a comprehensive and detailed description of optimization approaches for solving clustering problems; the authors' emphasis on clustering algorithms is based on deterministic methods of optimization. The book also includes results on real-time clustering algorithms based on optimization techniques, addresses implementation issues of these clustering algorithms, and discusses new challenges arising from big data. The book is ideal for anyone teaching or learning clustering algorithms. It provides an accessible introduction to the field and it is well suited for practitioners already familiar with the basics of optimization.

Optimization of Complex Systems: Theory, Models, Algorithms and Applications

Hoai An Le Thi,Hoai Minh Le,Tao Pham Dinh
Optimization of Complex Systems Theory Models Algorithms and Applications Book PDF

Author : Hoai An Le Thi,Hoai Minh Le,Tao Pham Dinh
Publisher : Springer
Page : 1164 pages
File Size : 43,8 Mb
Release : 2019-06-15
Category : Technology & Engineering
ISBN : 9783030218034

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Optimization of Complex Systems: Theory, Models, Algorithms and Applications by Hoai An Le Thi,Hoai Minh Le,Tao Pham Dinh Pdf

This book contains 112 papers selected from about 250 submissions to the 6th World Congress on Global Optimization (WCGO 2019) which takes place on July 8–10, 2019 at University of Lorraine, Metz, France. The book covers both theoretical and algorithmic aspects of Nonconvex Optimization, as well as its applications to modeling and solving decision problems in various domains. It is composed of 10 parts, each of them deals with either the theory and/or methods in a branch of optimization such as Continuous optimization, DC Programming and DCA, Discrete optimization & Network optimization, Multiobjective programming, Optimization under uncertainty, or models and optimization methods in a specific application area including Data science, Economics & Finance, Energy & Water management, Engineering systems, Transportation, Logistics, Resource allocation & Production management. The researchers and practitioners working in Nonconvex Optimization and several application areas can find here many inspiring ideas and useful tools & techniques for their works.

The Computer as Crucible

Jonathan Borwein,Keith Devlin
The Computer as Crucible Book PDF

Author : Jonathan Borwein,Keith Devlin
Publisher : CRC Press
Page : 170 pages
File Size : 50,6 Mb
Release : 2008-10-28
Category : Mathematics
ISBN : 9781439876916

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The Computer as Crucible by Jonathan Borwein,Keith Devlin Pdf

Keith Devlin and Jonathan Borwein, two well-known mathematicians with expertise in different mathematical specialties but with a common interest in experimentation in mathematics, have joined forces to create this introduction to experimental mathematics. They cover a variety of topics and examples to give the reader a good sense of the current sta

Prions

Holger F. Rabenau,Jindrich Cinatl,Hans Wilhelm Doerr
Prions Book PDF

Author : Holger F. Rabenau,Jindrich Cinatl,Hans Wilhelm Doerr
Publisher : Karger Medical and Scientific Publishers
Page : 173 pages
File Size : 49,6 Mb
Release : 2000-12-31
Category : Medical
ISBN : 9783805571241

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Prions by Holger F. Rabenau,Jindrich Cinatl,Hans Wilhelm Doerr Pdf

In the past decades, the public has been forced to revise its perception of the apparent triumph of modern hygiene and medical microbiology over infectious diseases. Not only have older infections reemerged but new epidemics, like AIDS, have lead to public uncertainty. With the onset of the bovine spongiform encephalopathy epidemic in Great Britain, novel infectious agents came into the public spotlight, ones that do not cause classical inflammation but a slow and irreversible degeneration of the central nervous system. Sensational from a scientific point of view, these agents, called proteinaceous infectious organisms or prions, were shown to be self-replicating without nucleic acid sequences to encode genomic information. In this volume, leading scientists deal with the medical, scientific and public health questions that prion infections raise. Besides the 'prion or virus' discussion, the structures of prions and their molecular biological analysis as well as the questions of strain variations and species barrier are presented. The etiological, clinical and diagnostic aspects of transmissible spongiform encephalopathies are given special attention. The epidemiology of human and animal prion diseases, disease management and possibilities for inactivation of prions are discussed from a public health perspective. Directed at scientists, physicians and the public health sector, the monograph uses a multidisciplinary approach to present the latest findings on prion infection.

Geometric Partial Differential Equations

Antonin Chambolle,Matteo Novaga,Enrico Valdinoci
Geometric Partial Differential Equations Book PDF

Author : Antonin Chambolle,Matteo Novaga,Enrico Valdinoci
Publisher : Springer Science & Business Media
Page : 400 pages
File Size : 45,9 Mb
Release : 2014-01-17
Category : Mathematics
ISBN : 9788876424731

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Geometric Partial Differential Equations by Antonin Chambolle,Matteo Novaga,Enrico Valdinoci Pdf

This book is the outcome of a conference held at the Centro De Giorgi of the Scuola Normale of Pisa in September 2012. The aim of the conference was to discuss recent results on nonlinear partial differential equations, and more specifically geometric evolutions and reaction-diffusion equations. Particular attention was paid to self-similar solutions, such as solitons and travelling waves, asymptotic behaviour, formation of singularities and qualitative properties of solutions. These problems arise in many models from Physics, Biology, Image Processing and Applied Mathematics in general, and have attracted a lot of attention in recent years.

Partitional Clustering Algorithms

M. Emre Celebi
Partitional Clustering Algorithms Book PDF

Author : M. Emre Celebi
Publisher : Springer
Page : 415 pages
File Size : 54,8 Mb
Release : 2014-11-07
Category : Technology & Engineering
ISBN : 9783319092591

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Partitional Clustering Algorithms by M. Emre Celebi Pdf

This book focuses on partitional clustering algorithms, which are commonly used in engineering and computer scientific applications. The goal of this volume is to summarize the state-of-the-art in partitional clustering. The book includes such topics as center-based clustering, competitive learning clustering and density-based clustering. Each chapter is contributed by a leading expert in the field.

Optimal Learning

Warren B. Powell,Ilya O. Ryzhov
Optimal Learning Book PDF

Author : Warren B. Powell,Ilya O. Ryzhov
Publisher : John Wiley & Sons
Page : 416 pages
File Size : 51,5 Mb
Release : 2013-07-09
Category : Mathematics
ISBN : 9781118309841

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Optimal Learning by Warren B. Powell,Ilya O. Ryzhov Pdf

Learn the science of collecting information to make effective decisions Everyday decisions are made without the benefit of accurate information. Optimal Learning develops the needed principles for gathering information to make decisions, especially when collecting information is time-consuming and expensive. Designed for readers with an elementary background in probability and statistics, the book presents effective and practical policies illustrated in a wide range of applications, from energy, homeland security, and transportation to engineering, health, and business. This book covers the fundamental dimensions of a learning problem and presents a simple method for testing and comparing policies for learning. Special attention is given to the knowledge gradient policy and its use with a wide range of belief models, including lookup table and parametric and for online and offline problems. Three sections develop ideas with increasing levels of sophistication: Fundamentals explores fundamental topics, including adaptive learning, ranking and selection, the knowledge gradient, and bandit problems Extensions and Applications features coverage of linear belief models, subset selection models, scalar function optimization, optimal bidding, and stopping problems Advanced Topics explores complex methods including simulation optimization, active learning in mathematical programming, and optimal continuous measurements Each chapter identifies a specific learning problem, presents the related, practical algorithms for implementation, and concludes with numerous exercises. A related website features additional applications and downloadable software, including MATLAB and the Optimal Learning Calculator, a spreadsheet-based package that provides an introduction to learning and a variety of policies for learning.

Nonsmooth Optimization

Claude Lemarechal,Robert Mifflin
Nonsmooth Optimization Book PDF

Author : Claude Lemarechal,Robert Mifflin
Publisher : Elsevier
Page : 194 pages
File Size : 45,9 Mb
Release : 2014-05-19
Category : Technology & Engineering
ISBN : 9781483188768

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Nonsmooth Optimization by Claude Lemarechal,Robert Mifflin Pdf

Nonsmooth Optimization contains the proceedings of a workshop on non-smooth optimization (NSO) held from March 28 to April 8,1977 in Austria under the auspices of the International Institute for Applied Systems Analysis. The papers explore the techniques and theory of NSO and cover topics ranging from systems of inequalities to smooth approximation of non-smooth functions, as well as quadratic programming and line searches. Comprised of nine chapters, this volume begins with a survey of Soviet research on subgradient optimization carried out since 1962, followed by a discussion on rates of convergence in subgradient optimization. The reader is then introduced to the method of subgradient optimization in an abstract setting and the minimal hypotheses required to ensure convergence; NSO and nonlinear programming; and bundle methods in NSO. A feasible descent algorithm for linearly constrained least squares problems is described. The book also considers sufficient minimization of piecewise-linear univariate functions before concluding with a description of the method of parametric decomposition in mathematical programming. This monograph will be of interest to mathematicians and mathematics students.

Numerical Analysis and Optimization

Mehiddin Al-Baali,Lucio Grandinetti,Anton Purnama
Numerical Analysis and Optimization Book PDF

Author : Mehiddin Al-Baali,Lucio Grandinetti,Anton Purnama
Publisher : Springer
Page : 304 pages
File Size : 43,6 Mb
Release : 2018-05-31
Category : Mathematics
ISBN : 9783319900261

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Numerical Analysis and Optimization by Mehiddin Al-Baali,Lucio Grandinetti,Anton Purnama Pdf

This volume contains 13 selected keynote papers presented at the Fourth International Conference on Numerical Analysis and Optimization. Held every three years at Sultan Qaboos University in Muscat, Oman, this conference highlights novel and advanced applications of recent research in numerical analysis and optimization. Each peer-reviewed chapter featured in this book reports on developments in key fields, such as numerical analysis, numerical optimization, numerical linear algebra, numerical differential equations, optimal control, approximation theory, applied mathematics, derivative-free optimization methods, programming models, and challenging applications that frequently arise in statistics, econometrics, finance, physics, medicine, biology, engineering and industry. Any graduate student or researched wishing to know the latest research in the field will be interested in this volume. This book is dedicated to the late Professors Mike JD Powell and Roger Fletcher, who were the pioneers and leading figures in the mathematics of nonlinear optimization.