A Trust Region Framework For Managing The Use Of Approximation Models In Optimization

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A Trust Region Framework for Managing the Use of Approximation Models in Optimization

Author : Natalia M. Alexandrov
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis A Trust Region Framework for Managing the Use of Approximation Models in Optimization by : Natalia M. Alexandrov

Download or read book A Trust Region Framework for Managing the Use of Approximation Models in Optimization written by Natalia M. Alexandrov and published by . This book was released on 1997 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper presents an analytically robust, globally convergent approach to managing the use of approximation models of various fidelity in optimization. By robust global behavior we mean the mathematical assurance that the iterates produced by the optimization algorithm, started at an arbitrary initial iterate, will converge to a stationary point or local optimizer for the original problem. The approach we present is based on the trust region idea from nonlinear programming and is shown to be provably convergent to a solution of the original high-fidelity problem. The proposed method for managing approximations in engineering optimization suggests ways to decide when the fidelity, and thus the cost of the approximations might be fruitfully increased or decreased in the course of the optimization iterations. The approach is quite general. We make no assumptions on the structure of the original problem, in particular, no assumptions of convexity and separability, and place only mild requirements on the approximations. The approximations used in the framework can be of any nature appropriate to an application; for instance, they can be represented by analyses, simulations, or simple algebraic models. This paper introduces the approach and outlines the convergence analysis.

A Trust Region Framework for Managing the Use of Approximation Models in Optimization

Author : Institute for Computer Applications in Science and Engineering
Publisher :
ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis A Trust Region Framework for Managing the Use of Approximation Models in Optimization by : Institute for Computer Applications in Science and Engineering

Download or read book A Trust Region Framework for Managing the Use of Approximation Models in Optimization written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1997 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Trust Region Methods

Author : A. R. Conn
Publisher : SIAM
ISBN 13 : 0898714605
Total Pages : 960 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Trust Region Methods by : A. R. Conn

Download or read book Trust Region Methods written by A. R. Conn and published by SIAM. This book was released on 2000-01-01 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.

Frontiers in PDE-Constrained Optimization

Author : Harbir Antil
Publisher : Springer
ISBN 13 : 1493986368
Total Pages : 434 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Frontiers in PDE-Constrained Optimization by : Harbir Antil

Download or read book Frontiers in PDE-Constrained Optimization written by Harbir Antil and published by Springer. This book was released on 2018-10-12 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a broad and uniform introduction of PDE-constrained optimization as well as to document a number of interesting and challenging applications. Many science and engineering applications necessitate the solution of optimization problems constrained by physical laws that are described by systems of partial differential equations (PDEs). As a result, PDE-constrained optimization problems arise in a variety of disciplines including geophysics, earth and climate science, material science, chemical and mechanical engineering, medical imaging and physics. This volume is divided into two parts. The first part provides a comprehensive treatment of PDE-constrained optimization including discussions of problems constrained by PDEs with uncertain inputs and problems constrained by variational inequalities. Special emphasis is placed on algorithm development and numerical computation. In addition, a comprehensive treatment of inverse problems arising in the oil and gas industry is provided. The second part of this volume focuses on the application of PDE-constrained optimization, including problems in optimal control, optimal design, and inverse problems, among other topics.

Proceedings of the 8th International Conference on Foundations of Computer-Aided Process Design

Author :
Publisher : Elsevier
ISBN 13 : 0444634428
Total Pages : 835 pages
Book Rating : 4.4/5 (446 download)

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Book Synopsis Proceedings of the 8th International Conference on Foundations of Computer-Aided Process Design by :

Download or read book Proceedings of the 8th International Conference on Foundations of Computer-Aided Process Design written by and published by Elsevier. This book was released on 2014-07-14 with total page 835 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects together the presentations at the Eighth International Conference on Foundations of Computer-Aided Process Design, FOCAPD-2014, an event that brings together researchers, educators, and practitioners to identify new challenges and opportunities for process and product design. The chemical industry is currently entering a new phase of rapid evolution. The availability of low-cost feedstocks from natural gas is causing renewed investment in basic chemicals in the OECD, while societal pressures for sustainability and energy security continue to be key drivers in technology development and product selection. This dynamic environment creates opportunities to launch new products and processes and to demonstrate new methodologies for innovation, synthesis and design. FOCAPD-2014 fosters constructive interaction among thought leaders from academia, industry, and government and provides a showcase for the latest research in product and process design. Focuses exclusively on the fundamentals and applications of computer-aided design for the process industries. Provides a fully archival and indexed record of the FOCAPD14 conference Aligns the FOCAPD series with the ESCAPE and PSE series

Trust Region Methods

Author : A. R. Conn
Publisher : SIAM
ISBN 13 : 0898719852
Total Pages : 978 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Trust Region Methods by : A. R. Conn

Download or read book Trust Region Methods written by A. R. Conn and published by SIAM. This book was released on 2000-01-01 with total page 978 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive reference on trust-region methods, a class of numerical algorithms for the solution of nonlinear convex optimization methods. Its unified treatment covers both unconstrained and constrained problems and reviews a large part of the specialized literature on the subject. It also provides an up-to-date view of numerical optimization.

Multidisciplinary Design Optimization

Author : Natalia M. Alexandrov
Publisher : SIAM
ISBN 13 : 9780898713596
Total Pages : 476 pages
Book Rating : 4.7/5 (135 download)

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Book Synopsis Multidisciplinary Design Optimization by : Natalia M. Alexandrov

Download or read book Multidisciplinary Design Optimization written by Natalia M. Alexandrov and published by SIAM. This book was released on 1997-01-01 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multidisciplinary design optimization (MDO) has recently emerged as a field of research and practice that brings together many previously disjointed disciplines and tools of engineering and mathematics. MDO can be described as a technology, environment, or methodology for the design of complex, coupled engineering systems, such as aircraft, automobiles, and other mechanisms, the behavior of which is determined by interacting subsystems.

Large-Scale PDE-Constrained Optimization

Author : Lorenz T. Biegler
Publisher : Springer Science & Business Media
ISBN 13 : 364255508X
Total Pages : 347 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Large-Scale PDE-Constrained Optimization by : Lorenz T. Biegler

Download or read book Large-Scale PDE-Constrained Optimization written by Lorenz T. Biegler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal design, optimal control, and parameter estimation of systems governed by partial differential equations (PDEs) give rise to a class of problems known as PDE-constrained optimization. The size and complexity of the discretized PDEs often pose significant challenges for contemporary optimization methods. With the maturing of technology for PDE simulation, interest has now increased in PDE-based optimization. The chapters in this volume collectively assess the state of the art in PDE-constrained optimization, identify challenges to optimization presented by modern highly parallel PDE simulation codes, and discuss promising algorithmic and software approaches for addressing them. These contributions represent current research of two strong scientific computing communities, in optimization and PDE simulation. This volume merges perspectives in these two different areas and identifies interesting open questions for further research.

Autonomous Vehicles

Author : George Dekoulis
Publisher : BoD – Books on Demand
ISBN 13 : 1839629215
Total Pages : 212 pages
Book Rating : 4.8/5 (396 download)

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Book Synopsis Autonomous Vehicles by : George Dekoulis

Download or read book Autonomous Vehicles written by George Dekoulis and published by BoD – Books on Demand. This book was released on 2020-09-09 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume, Autonomous Vehicles, is a collection of reviewed and relevant research chapters, offering a comprehensive overview of recent developments in the field of vehicle autonomy. The book comprises nine chapters authored by various researchers and edited by an expert active in the field of study. All chapters are complete in itself but united under a common research study topic. This publication aims to provide a thorough overview of the latest research efforts by international authors, open new possible research paths for further novel developments, and to inspire the younger generations into pursuing relevant academic studies and professional careers within the autonomous vehicle field.

Perspectives in Flow Control and Optimization

Author : Max D. Gunzburger
Publisher : SIAM
ISBN 13 : 9780898718720
Total Pages : 275 pages
Book Rating : 4.7/5 (187 download)

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Book Synopsis Perspectives in Flow Control and Optimization by : Max D. Gunzburger

Download or read book Perspectives in Flow Control and Optimization written by Max D. Gunzburger and published by SIAM. This book was released on 2003-01-01 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Flow control and optimization has been an important part of experimental flow science throughout the last century. As research in computational fluid dynamics (CFD) matured, CFD codes were routinely used for the simulation of fluid flows. Subsequently, mathematicians and engineers began examining the use of CFD algorithms and codes for optimization and control problems for fluid flows. Perspectives in Flow Control and Optimization presents flow control and optimization as a subdiscipline of computational mathematics and computational engineering. It introduces the development and analysis of several approaches for solving flow control and optimization problems through the use of modern CFD and optimization methods. The author discusses many of the issues that arise in the practical implementation of algorithms for flow control and optimization, and provides the reader with a clear idea of what types of flow control and optimization problems can be solved, how to develop effective algorithms for solving such problems, and potential problems in implementing the algorithms. Audience: this book is written for both those new to the field of control and optimization as well as experienced practitioners, including engineers, applied mathematicians, and scientists interested in computational methods for flow control and optimization. Readers with a solid background in calculus and only slight familiarity with partial differential equations should find the book easy to understand. Knowledge of fluid mechanics, computational fluid dynamics, calculus of variations, control theory or optimization is beneficial, but is not essential, to comprehend the bulk of the presentation. Only Chapter 6 requires a substantially higher level of mathematical knowledge, most notably in the areas of functional analysis, numerical analysis, and partial differential equations.

Computational Methods in Stochastic Dynamics

Author : Manolis Papadrakakis
Publisher : Springer Science & Business Media
ISBN 13 : 9048199875
Total Pages : 346 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Computational Methods in Stochastic Dynamics by : Manolis Papadrakakis

Download or read book Computational Methods in Stochastic Dynamics written by Manolis Papadrakakis and published by Springer Science & Business Media. This book was released on 2011-02-01 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the dawn of the 21st century, computational stochastic dynamics is an emerging research frontier. This book focuses on advanced computational methods and software tools which can highly assist in tackling complex problems in stochastic dynamic/seismic analysis and design of structures. The book is primarily intended for researchers and post-graduate students in the fields of computational mechanics and stochastic structural dynamics. Nevertheless, practice engineers as well could benefit from it as most code provisions tend to incorporate probabilistic concepts in the analysis and design of structures. The book addresses mathematical and numerical issues in stochastic structural dynamics and connects them to real-world applications. It consists of 16 chapters dealing with recent advances in a wide range of related topics (dynamic response variability and reliability of stochastic systems, risk assessment, stochastic simulation of earthquake ground motions, efficient solvers for the analysis of stochastic systems, dynamic stability, stochastic modelling of heterogeneous materials). Numerical examples demonstrating the significance of the proposed methods are presented in each chapter.

Simulation-based Optimization Of Antenna Arrays

Author : Slawomir Koziel
Publisher : World Scientific
ISBN 13 : 1786346001
Total Pages : 494 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Simulation-based Optimization Of Antenna Arrays by : Slawomir Koziel

Download or read book Simulation-based Optimization Of Antenna Arrays written by Slawomir Koziel and published by World Scientific. This book was released on 2019-02-13 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book addresses surrogate-assisted design of antenna arrays, in particular, how surrogate models, both data-driven and physics-based, can be utilized to expedite procedures such as parametric optimization, design closure, statistical analysis, or fault detection. Algorithms and design frameworks are illustrated using a large variety of examples including real-world printed-circuit antenna and antenna array structures.This unique compendium contains introductory materials concerning numerical optimization, both conventional (gradient-based and derivative-free, including metaheuristics) and surrogate-based, as well as a considerable selection of customized procedures developed specifically to handle antenna array problems. Recommendations concerning practical aspects of surrogate-assisted multi-objective antenna optimization are also given. The methods presented allow for cost-efficient handling of antenna array design problems (involving CPU-intensive EM models) in the context of design optimization and statistical analysis, which will benefit both researchers, designers and graduate students.

Introduction to Derivative-free Optimization

Author : Andrew R. Conn
Publisher : SIAM
ISBN 13 : 0898718767
Total Pages : 277 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Introduction to Derivative-free Optimization by : Andrew R. Conn

Download or read book Introduction to Derivative-free Optimization written by Andrew R. Conn and published by SIAM. This book was released on 2009-01-01 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The absence of derivatives, often combined with the presence of noise or lack of smoothness, is a major challenge for optimisation. This book explains how sampling and model techniques are used in derivative-free methods and how these methods are designed to efficiently and rigorously solve optimisation problems.

Computational Optimization and Applications in Engineering and Industry

Author : Xin-She Yang
Publisher : Springer
ISBN 13 : 3642209866
Total Pages : 282 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Computational Optimization and Applications in Engineering and Industry by : Xin-She Yang

Download or read book Computational Optimization and Applications in Engineering and Industry written by Xin-She Yang and published by Springer. This book was released on 2011-06-19 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contemporary design in engineering and industry relies heavily on computer simulation and efficient algorithms to reduce the cost and to maximize the performance and sustainability as well as profits and energy efficiency. Solving an optimization problem correctly and efficiently requires not only the right choice of optimization algorithms and simulation methods, but also the proper implementation and insight into the problem of interest. This book consists of ten self-contained, detailed case studies of real-world optimization problems, selected from a wide range of applications and contributed from worldwide experts who are working in these exciting areas. Optimization topics and applications include gas and water supply networks, oil field production optimization, microwave engineering, aerodynamic shape design, environmental emergence modelling, structural engineering, waveform design for radar and communication systems, parameter estimation in laser experiment and measurement, engineering materials and network scheduling. These case studies have been solved using a wide range of optimization techniques, including particle swarm optimization, genetic algorithms, artificial bee colony, harmony search, adaptive error control, derivative-free pattern search, surrogate-based optimization, variable-fidelity modelling, as well as various other methods and approaches. This book is a practical guide to help graduates and researchers to carry out optimization for real-world applications. More advanced readers will also find it a helpful reference and aide memoire.

Feature Papers

Author : Michael Henson
Publisher : MDPI
ISBN 13 : 3038420700
Total Pages : 405 pages
Book Rating : 4.0/5 (384 download)

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Book Synopsis Feature Papers by : Michael Henson

Download or read book Feature Papers written by Michael Henson and published by MDPI. This book was released on 2018-10-04 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Feature Papers" that was published in Processes

Nonlinear Equations and Optimisation

Author : L.T. Watson
Publisher : Elsevier
ISBN 13 : 0080929540
Total Pages : 382 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Nonlinear Equations and Optimisation by : L.T. Watson

Download or read book Nonlinear Equations and Optimisation written by L.T. Watson and published by Elsevier. This book was released on 2001-03-14 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: /homepage/sac/cam/na2000/index.html7-Volume Set now available at special set price ! In one of the papers in this collection, the remark that "nothing at all takes place in the universe in which some rule of maximum of minimum does not appear" is attributed to no less an authority than Euler. Simplifying the syntax a little, we might paraphrase this as Everything is an optimization problem. While this might be something of an overstatement, the element of exaggeration is certainly reduced if we consider the extended form: Everything is an optimization problem or a system of equations. This observation, even if only partly true, stands as a fitting testimonial to the importance of the work covered by this volume. Since the 1960s, much effort has gone into the development and application of numerical algorithms for solving problems in the two areas of optimization and systems of equations. As a result, many different ideas have been proposed for dealing efficiently with (for example) severe nonlinearities and/or very large numbers of variables. Libraries of powerful software now embody the most successful of these ideas, and one objective of this volume is to assist potential users in choosing appropriate software for the problems they need to solve. More generally, however, these collected review articles are intended to provide both researchers and practitioners with snapshots of the 'state-of-the-art' with regard to algorithms for particular classes of problem. These snapshots are meant to have the virtues of immediacy through the inclusion of very recent ideas, but they also have sufficient depth of field to show how ideas have developed and how today's research questions have grown out of previous solution attempts. The most efficient methods for local optimization, both unconstrained and constrained, are still derived from the classical Newton approach. As well as dealing in depth with the various classical, or neo-classical, approaches, the selection of papers on optimization in this volume ensures that newer ideas are also well represented. Solving nonlinear algebraic systems of equations is closely related to optimization. The two are not completely equivalent, however, and usually something is lost in the translation. Algorithms for nonlinear equations can be roughly classified as locally convergent or globally convergent. The characterization is not perfect. Locally convergent algorithms include Newton's method, modern quasi-Newton variants of Newton's method, and trust region methods. All of these approaches are well represented in this volume.

Computational Optimization, Methods and Algorithms

Author : Slawomir Koziel
Publisher : Springer Science & Business Media
ISBN 13 : 3642208584
Total Pages : 292 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Computational Optimization, Methods and Algorithms by : Slawomir Koziel

Download or read book Computational Optimization, Methods and Algorithms written by Slawomir Koziel and published by Springer Science & Business Media. This book was released on 2011-06-17 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational optimization is an important paradigm with a wide range of applications. In virtually all branches of engineering and industry, we almost always try to optimize something - whether to minimize the cost and energy consumption, or to maximize profits, outputs, performance and efficiency. In many cases, this search for optimality is challenging, either because of the high computational cost of evaluating objectives and constraints, or because of the nonlinearity, multimodality, discontinuity and uncertainty of the problem functions in the real-world systems. Another complication is that most problems are often NP-hard, that is, the solution time for finding the optimum increases exponentially with the problem size. The development of efficient algorithms and specialized techniques that address these difficulties is of primary importance for contemporary engineering, science and industry. This book consists of 12 self-contained chapters, contributed from worldwide experts who are working in these exciting areas. The book strives to review and discuss the latest developments concerning optimization and modelling with a focus on methods and algorithms for computational optimization. It also covers well-chosen, real-world applications in science, engineering and industry. Main topics include derivative-free optimization, multi-objective evolutionary algorithms, surrogate-based methods, maximum simulated likelihood estimation, support vector machines, and metaheuristic algorithms. Application case studies include aerodynamic shape optimization, microwave engineering, black-box optimization, classification, economics, inventory optimization and structural optimization. This graduate level book can serve as an excellent reference for lecturers, researchers and students in computational science, engineering and industry.