Simplicial Algorithms for Minimizing Polyhedral Functions

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Publisher : Cambridge University Press
ISBN 13 : 9780521791335
Total Pages : 274 pages
Book Rating : 4.7/5 (913 download)

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Book Synopsis Simplicial Algorithms for Minimizing Polyhedral Functions by : M. R. Osborne

Download or read book Simplicial Algorithms for Minimizing Polyhedral Functions written by M. R. Osborne and published by Cambridge University Press. This book was released on 2001-01-08 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2001, provides a general account of the development of simplicial algorithms.

Semi-Infinite Programming and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3642464777
Total Pages : 336 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Semi-Infinite Programming and Applications by : A.V. Fiacco

Download or read book Semi-Infinite Programming and Applications written by A.V. Fiacco and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semi-infinite programming is a natural extension of linear pro gramming that allows finitely many variables to appear in infinitely many constraints. As the papers in this collection will reconfirm, the theoretical and practical manifestations and applications of this prob lem formulation are abundant and significant. This volume presents 20 carefully selected papers that were pre sented at the International Symposium on Semi-Infinite Programming and Applications, The University of Texas at Austin, September 8-10, 1981. A total of 70 papers were presented by distinguished participants from 15 countries. This was only the second international meeting on this topic, the first taking place in Bad Honnef,Federal Republic of Germany in 1978. A proceedings of that conference was organized and edited by Rainer Hettich of the University of Trier and published by Springer Verlag in 1979. The papers in this volume could have been published in any of several refereed journals. It is also probable that the authors of these papers would normally not have met at the same professional society meeting. Having these papers appear under one cover is thus something of a new phenomenon and provides an indication of both the unification and cross-fertilization opportunities that have emerged in this field. These papers were solicited only through the collective efforts of an International Program Committee organized according to the fol lowing research areas.

Convex Optimization Algorithms

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Publisher : Athena Scientific
ISBN 13 : 1886529280
Total Pages : 576 pages
Book Rating : 4.8/5 (865 download)

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Book Synopsis Convex Optimization Algorithms by : Dimitri Bertsekas

Download or read book Convex Optimization Algorithms written by Dimitri Bertsekas and published by Athena Scientific. This book was released on 2015-02-01 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive and accessible presentation of algorithms for solving convex optimization problems. It relies on rigorous mathematical analysis, but also aims at an intuitive exposition that makes use of visualization where possible. This is facilitated by the extensive use of analytical and algorithmic concepts of duality, which by nature lend themselves to geometrical interpretation. The book places particular emphasis on modern developments, and their widespread applications in fields such as large-scale resource allocation problems, signal processing, and machine learning. The book is aimed at students, researchers, and practitioners, roughly at the first year graduate level. It is similar in style to the author's 2009"Convex Optimization Theory" book, but can be read independently. The latter book focuses on convexity theory and optimization duality, while the present book focuses on algorithmic issues. The two books share notation, and together cover the entire finite-dimensional convex optimization methodology. To facilitate readability, the statements of definitions and results of the "theory book" are reproduced without proofs in Appendix B.

Computational Techniques And Applications: Ctac 97 - Proceedings Of The Eight Biennial Conference

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Publisher : World Scientific
ISBN 13 : 9814544736
Total Pages : 818 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Computational Techniques And Applications: Ctac 97 - Proceedings Of The Eight Biennial Conference by : John Noye

Download or read book Computational Techniques And Applications: Ctac 97 - Proceedings Of The Eight Biennial Conference written by John Noye and published by World Scientific. This book was released on 1998-08-08 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume contains three invited papers and 93 contributed papers. The topics covered range from studies of theoretical aspects of computational methods to simulation of industrial processes, with an emphasis on the efficient use of computers to solve practical problems. Developers and users of computational techniques who wish to keep up with recent developments in the application of modern computational technology to problems in science and engineering will have much interest in this volume.

Guide To Pamir, The: Theory And Use Of Parameterized Adaptive Multidimensional Integration Routines

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Publisher : World Scientific Publishing Company
ISBN 13 : 9814425060
Total Pages : 216 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Guide To Pamir, The: Theory And Use Of Parameterized Adaptive Multidimensional Integration Routines by : Stephen L Adler

Download or read book Guide To Pamir, The: Theory And Use Of Parameterized Adaptive Multidimensional Integration Routines written by Stephen L Adler and published by World Scientific Publishing Company. This book was released on 2012-10-25 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: PAMIR (Parameterized Adaptive Multidimensional Integration Routines) is a suite of Fortran programs for multidimensional numerical integration over hypercubes, simplexes, and hyper-rectangles in general dimension p, intended for use by physicists, applied mathematicians, computer scientists, and engineers. The programs, which are available on the internet at www.pamir-integrate.com and are free for non-profit research use, are capable of following localized peaks and valleys of the integrand. Each program comes with a Message-Passing Interface (MPI) parallel version for cluster use as well as serial versions.The first chapter presents introductory material, similar to that on the PAMIR website, and the next is a “manual” giving much more detail on the use of the programs than is on the website. They are followed by many examples of performance benchmarks and comparisons with other programs, and a discussion of the computational integration aspects of PAMIR, in comparison with other methods in the literature. The final chapter provides details of the construction of the algorithms, while the Appendices give technical details and certain mathematical derivations.

Global Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 3662025981
Total Pages : 705 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Global Optimization by : Reiner Horst

Download or read book Global Optimization written by Reiner Horst and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: The enormous practical need for solving global optimization problems coupled with a rapidly advancing computer technology has allowed one to consider problems which a few years ago would have been considered computationally intractable. As a consequence, we are seeing the creation of a large and increasing number of diverse algorithms for solving a wide variety of multiextremal global optimization problems. The goal of this book is to systematically clarify and unify these diverse approaches in order to provide insight into the underlying concepts and their pro perties. Aside from a coherent view of the field much new material is presented. By definition, a multiextremal global optimization problem seeks at least one global minimizer of a real-valued objective function that possesses different local n minimizers. The feasible set of points in IR is usually determined by a system of inequalities. It is well known that in practically all disciplines where mathematical models are used there are many real-world problems which can be formulated as multi extremal global optimization problems.

ASTIN Bulletin

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Publisher :
ISBN 13 :
Total Pages : 688 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis ASTIN Bulletin by :

Download or read book ASTIN Bulletin written by and published by . This book was released on 2006 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Global Optimization

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461520258
Total Pages : 891 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Handbook of Global Optimization by : R. Horst

Download or read book Handbook of Global Optimization written by R. Horst and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 891 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global optimization is concerned with the computation and characterization of global optima of nonlinear functions. During the past three decades the field of global optimization has been growing at a rapid pace, and the number of publications on all aspects of global optimization has been increasing steadily. Many applications, as well as new theoretical, algorithmic, and computational contributions have resulted. The Handbook of Global Optimization is the first comprehensive book to cover recent developments in global optimization. Each contribution in the Handbook is essentially expository in nature, but scholarly in its treatment. The chapters cover optimality conditions, complexity results, concave minimization, DC programming, general quadratic programming, nonlinear complementarity, minimax problems, multiplicative programming, Lipschitz optimization, fractional programming, network problems, trajectory methods, homotopy methods, interval methods, and stochastic approaches. The Handbook of Global Optimization is addressed to researchers in mathematical programming, as well as all scientists who use optimization methods to model and solve problems.

Bulletin of the Belgian Mathematical Society, Simon Stevin

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Publisher :
ISBN 13 :
Total Pages : 888 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Bulletin of the Belgian Mathematical Society, Simon Stevin by :

Download or read book Bulletin of the Belgian Mathematical Society, Simon Stevin written by and published by . This book was released on 2002 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Automatic Control, Robotics, and Information Processing

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Publisher : Springer Nature
ISBN 13 : 3030485870
Total Pages : 843 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Automatic Control, Robotics, and Information Processing by : Piotr Kulczycki

Download or read book Automatic Control, Robotics, and Information Processing written by Piotr Kulczycki and published by Springer Nature. This book was released on 2020-09-03 with total page 843 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a wide and comprehensive range of issues and problems in various fields of science and engineering, from both theoretical and applied perspectives. The desire to develop more effective and efficient tools and techniques for dealing with complex processes and systems has been a natural inspiration for the emergence of numerous fields of science and technology, in particular control and automation and, more recently, robotics. The contributions gathered here concern the development of methods and algorithms to determine best practices regarding broadly perceived decisions or controls. From an engineering standpoint, many of them focus on how to automate a specific process or complex system. From a tools-based perspective, several contributions address the development of analytic and algorithmic methods and techniques, devices and systems that make it possible to develop and subsequently implement the automation and robotization of crucial areas of human activity. All topics discussed are illustrated with sample applications.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 812 pages
Book Rating : 4.3/5 (91 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 812 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Global Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792367567
Total Pages : 376 pages
Book Rating : 4.3/5 (675 download)

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Book Synopsis Introduction to Global Optimization by : R. Horst

Download or read book Introduction to Global Optimization written by R. Horst and published by Springer Science & Business Media. This book was released on 2000-12-31 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for an undergraduate course in mathematical programming for students with a knowledge of elementary real analysis, linear algebra, and classical linear programming (simple techniques). Focuses on the computation and characterization of global optima of nonlinear functions, rather than the locally optimal solutions addressed by most books on optimization. Incorporates the theoretical, algorithmic, and computational advances of the past three decades that help solve globally multi-extreme problems in the mathematical modeling of real world systems. Annotation copyright by Book News, Inc., Portland, OR

Minimization Methods for Non-Differentiable Functions

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Publisher : Springer Science & Business Media
ISBN 13 : 3642821189
Total Pages : 171 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Minimization Methods for Non-Differentiable Functions by : N.Z. Shor

Download or read book Minimization Methods for Non-Differentiable Functions written by N.Z. Shor and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years much attention has been given to the development of auto matic systems of planning, design and control in various branches of the national economy. Quality of decisions is an issue which has come to the forefront, increasing the significance of optimization algorithms in math ematical software packages for al,ltomatic systems of various levels and pur poses. Methods for minimizing functions with discontinuous gradients are gaining in importance and the ~xperts in the computational methods of mathematical programming tend to agree that progress in the development of algorithms for minimizing nonsmooth functions is the key to the con struction of efficient techniques for solving large scale problems. This monograph summarizes to a certain extent fifteen years of the author's work on developing generalized gradient methods for nonsmooth minimization. This work started in the department of economic cybernetics of the Institute of Cybernetics of the Ukrainian Academy of Sciences under the supervision of V.S. Mikhalevich, a member of the Ukrainian Academy of Sciences, in connection with the need for solutions to important, practical problems of optimal planning and design. In Chap. I we describe basic classes of nonsmooth functions that are dif ferentiable almost everywhere, and analyze various ways of defining generalized gradient sets. In Chap. 2 we study in detail various versions of the su bgradient method, show their relation to the methods of Fejer-type approximations and briefly present the fundamentals of e-subgradient methods.

Algorithm Theory - SWAT 2004

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Publisher : Springer
ISBN 13 : 3540278109
Total Pages : 516 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Algorithm Theory - SWAT 2004 by : Torben Hagerup

Download or read book Algorithm Theory - SWAT 2004 written by Torben Hagerup and published by Springer. This book was released on 2004-06-08 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at SWAT 2004, the 9th Scandi- vian Workshop on Algorithm Theory, which was held on July 8-10, 2004, at the Louisiana Museum of Modern Art in Humlebæk on the Øresund coast north of Copenhagen. The SWAT workshop, in reality a full-?edged conference, has been held biennially since 1988 and rotates among the ?ve Nordic countries, D- mark, Finland, Iceland, Norway, and Sweden. The previous meetings took place ? in Halmstad (1988), Bergen (1990), Helsinki (1992), Arhus (1994), Reykjavik (1996), Stockholm (1998), Bergen (2000), and Turku (2002). SWAT alternates with the Workshop on Algorithms and Data Structures (WADS), held in o- numbered years. Thecallforpapersinvitedcontributionsonallaspectsofalgorithmtheory.A totalof121submissionswasreceived--anoverallSWAThigh.Theseunderwent thorough reviewing, and the program committee met in Copenhagen on March 20-21, 2004, and selected 40 papers for presentation at the conference. The programcommitteewasimpressedwiththequalityofthesubmissionsand,given the constraints imposed by the choice of conference venue and duration, had to make some tough decisions. The scienti?c program was enriched by invited presentations by Gerth Stølting Brodal (University of Aarhus) and Charles E. Leiserson (Massachusetts Institute of Technology). TwosatelliteeventswereheldimmediatelybeforeSWAT2004:theWorkshop on On-Line Algorithms (OLA 2004), organized by members of the Department of Mathematics and Computer Science at the University of Southern Denmark, and the Summer School on Experimental Algorithmics, organized by the Perf- mance Engineering Laboratory in the Department of Computing at the Univ- sity of Copenhagen. More information about SWAT 2004 and its satellite events is available at the conference web sitehttp://swat.diku.dk/.

Advanced, Contemporary Control

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Publisher : Springer Nature
ISBN 13 : 3031351703
Total Pages : 412 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Advanced, Contemporary Control by : Marek Pawelczyk

Download or read book Advanced, Contemporary Control written by Marek Pawelczyk and published by Springer Nature. This book was released on 2023-06-15 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to the hottest topics in current control sciences and robotics, as seen by scientists from Poland and other European countries. Volume 1 comprises 37 chapters, which specifically address topics connected to modeling, identification, and analysis of automation systems, to design of control systems, and to fault diagnosis and fault-tolerant control. The contributions were presented during XXI Polish Control Conference, held in Gliwice, Poland, from June 26 to 29, 2023. This book is extremely useful to all persons who want to know the latest trends in automation and robotics.

Simplicial Global Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 1461490936
Total Pages : 146 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Simplicial Global Optimization by : Remigijus Paulavičius

Download or read book Simplicial Global Optimization written by Remigijus Paulavičius and published by Springer Science & Business Media. This book was released on 2013-10-09 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simplicial Global Optimization is centered on deterministic covering methods partitioning feasible region by simplices. This book looks into the advantages of simplicial partitioning in global optimization through applications where the search space may be significantly reduced while taking into account symmetries of the objective function by setting linear inequality constraints that are managed by initial partitioning. The authors provide an extensive experimental investigation and illustrates the impact of various bounds, types of subdivision, strategies of candidate selection on the performance of algorithms. A comparison of various Lipschitz bounds over simplices and an extension of Lipschitz global optimization with-out the Lipschitz constant to the case of simplicial partitioning is also depicted in this text. Applications benefiting from simplicial partitioning are examined in detail such as nonlinear least squares regression and pile placement optimization in grillage-type foundations. Researchers and engineers will benefit from simplicial partitioning algorithms such as Lipschitz branch and bound, Lipschitz optimization without the Lipschitz constant, heuristic partitioning presented. This book will leave readers inspired to develop simplicial versions of other algorithms for global optimization and even use other non-rectangular partitions for special applications.

Learning with Submodular Functions

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Publisher :
ISBN 13 : 9781601987570
Total Pages : 228 pages
Book Rating : 4.9/5 (875 download)

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Book Synopsis Learning with Submodular Functions by : Francis Bach

Download or read book Learning with Submodular Functions written by Francis Bach and published by . This book was released on 2013 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Submodular functions are relevant to machine learning for at least two reasons: (1) some problems may be expressed directly as the optimization of submodular functions and (2) the Lovász extension of submodular functions provides a useful set of regularization functions for supervised and unsupervised learning. In this monograph, we present the theory of submodular functions from a convex analysis perspective, presenting tight links between certain polyhedra, combinatorial optimization and convex optimization problems. In particular, we show how submodular function minimization is equivalent to solving a wide variety of convex optimization problems. This allows the derivation of new efficient algorithms for approximate and exact submodular function minimization with theoretical guarantees and good practical performance. By listing many examples of submodular functions, we review various applications to machine learning, such as clustering, experimental design, sensor placement, graphical model structure learning or subset selection, as well as a family of structured sparsity-inducing norms that can be derived and used from submodular functions.