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Constrained Estimation And Approximation Using Control Optimization And Spline Theory
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Book Synopsis Constrained Estimation and Approximation Using Control, Optimization, and Spline Theory by : Teresa M. Lebair
Download or read book Constrained Estimation and Approximation Using Control, Optimization, and Spline Theory written by Teresa M. Lebair and published by . This book was released on 2016 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: There has been an increasing interest in shape constrained estimation and approximation in the fields of applied mathematics and statistics. Applications from various areas of research such as biology, engineering, and economics have fueled this soaring attention. Due to the natural constrained optimization and optimal control formulations achieved by inequality constrained estimation problems, optimization and optimal control play an invaluable part in resolving computational and statistical performance matters in shape constrained estimation. Additionally, the favorable statistical, numerical, and analytical properties of spline functions grant splines an influential place in resolving these issues. Hence, the purpose of this research is to develop numerical and analytical techniques for general shape constrained estimation problems using optimization, optimal control, spline theory, and statistical tools. A number of topics in shape constrained estimation are examined.
Book Synopsis Control and Optimization with PDE Constraints by : Kristian Bredies
Download or read book Control and Optimization with PDE Constraints written by Kristian Bredies and published by Springer Science & Business Media. This book was released on 2013-06-12 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many mathematical models of physical, biological and social systems involve partial differential equations (PDEs). The desire to understand and influence these systems naturally leads to considering problems of control and optimization. This book presents important topics in the areas of control of PDEs and of PDE-constrained optimization, covering the full spectrum from analysis to numerical realization and applications. Leading scientists address current topics such as non-smooth optimization, Hamilton–Jacobi–Bellmann equations, issues in optimization and control of stochastic partial differential equations, reduced-order models and domain decomposition, discretization error estimates for optimal control problems, and control of quantum-dynamical systems. These contributions originate from the “International Workshop on Control and Optimization of PDEs” in Mariatrost in October 2011. This book is an excellent resource for students and researchers in control or optimization of differential equations. Readers interested in theory or in numerical algorithms will find this book equally useful.
Book Synopsis Control Theoretic Splines by : Magnus Egerstedt
Download or read book Control Theoretic Splines written by Magnus Egerstedt and published by Princeton University Press. This book was released on 2009-12-07 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Splines, both interpolatory and smoothing, have a long and rich history that has largely been application driven. This book unifies these constructions in a comprehensive and accessible way, drawing from the latest methods and applications to show how they arise naturally in the theory of linear control systems. Magnus Egerstedt and Clyde Martin are leading innovators in the use of control theoretic splines to bring together many diverse applications within a common framework. In this book, they begin with a series of problems ranging from path planning to statistics to approximation. Using the tools of optimization over vector spaces, Egerstedt and Martin demonstrate how all of these problems are part of the same general mathematical framework, and how they are all, to a certain degree, a consequence of the optimization problem of finding the shortest distance from a point to an affine subspace in a Hilbert space. They cover periodic splines, monotone splines, and splines with inequality constraints, and explain how any finite number of linear constraints can be added. This book reveals how the many natural connections between control theory, numerical analysis, and statistics can be used to generate powerful mathematical and analytical tools. This book is an excellent resource for students and professionals in control theory, robotics, engineering, computer graphics, econometrics, and any area that requires the construction of curves based on sets of raw data.
Book Synopsis Consistent Approximations of Constrained Optimal Control Problems by : Vadim Azhmyakov
Download or read book Consistent Approximations of Constrained Optimal Control Problems written by Vadim Azhmyakov and published by Logos Verlag Berlin. This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book evolved over a period of years as the author taught classes in numerical analysis, optimization theory and optimal control to graduate students in mathematics and engineering. The material presented in this monograph is the result of author's work at the E.M.A. University of Greifswald and at the Technical University of Berlin. The book has likewise been influenced by my research programs that have relied on the application of the proximal-based numerical schemes and algorithms to constrained optimal control problems. The task of my project was to look closely at the possible consistent techniques of numerical analysis for constrained optimal control problems and the corresponding convergence analysis. The aim of this book is to provide some proximal-type regular computational methods for optimal control processes governed by ordinary differential equations.This book gives a self-contained and systematic exposition of the proximal-regularization methods to optimal control problems with general constraints. It can be used as a textbook for PhD students majoring in mathematical control theory and also serve as a reference for researchers in applied mathematics, control engineering and computational sciences.
Book Synopsis Nonparametric Estimation and Model Selection Using Constrained Splines in Linear Inversion Problems by : Davide Verotta
Download or read book Nonparametric Estimation and Model Selection Using Constrained Splines in Linear Inversion Problems written by Davide Verotta and published by . This book was released on 1992 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Handbook of Splines by : Gheorghe Micula
Download or read book Handbook of Splines written by Gheorghe Micula and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to give a comprehensive introduction to the theory of spline functions, together with some applications to various fields, emphasizing the significance of the relationship between the general theory and its applications. At the same time, the goal of the book is also to provide new ma terial on spline function theory, as well as a fresh look at old results, being written for people interested in research, as well as for those who are interested in applications. The theory of spline functions and their applications is a relatively recent field of applied mathematics. In the last 50 years, spline function theory has undergone a won derful development with many new directions appearing during this time. This book has its origins in the wish to adequately describe this development from the notion of 'spline' introduced by 1. J. Schoenberg (1901-1990) in 1946, to the newest recent theories of 'spline wavelets' or 'spline fractals'. Isolated facts about the functions now called 'splines' can be found in the papers of L. Euler, A. Lebesgue, G. Birkhoff, J.
Book Synopsis SIAM Journal on Control and Optimization by : Society for Industrial and Applied Mathematics
Download or read book SIAM Journal on Control and Optimization written by Society for Industrial and Applied Mathematics and published by . This book was released on 1986 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Approximation Theory and Methods by : M. J. D. Powell
Download or read book Approximation Theory and Methods written by M. J. D. Powell and published by Cambridge University Press. This book was released on 1981-03-31 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most functions that occur in mathematics cannot be used directly in computer calculations. Instead they are approximated by manageable functions such as polynomials and piecewise polynomials. The general theory of the subject and its application to polynomial approximation are classical, but piecewise polynomials have become far more useful during the last twenty years. Thus many important theoretical properties have been found recently and many new techniques for the automatic calculation of approximations to prescribed accuracy have been developed. This book gives a thorough and coherent introduction to the theory that is the basis of current approximation methods. Professor Powell describes and analyses the main techniques of calculation supplying sufficient motivation throughout the book to make it accessible to scientists and engineers who require approximation methods for practical needs. Because the book is based on a course of lectures to third-year undergraduates in mathematics at Cambridge University, sufficient attention is given to theory to make it highly suitable as a mathematical textbook at undergraduate or postgraduate level.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Explorations in the Mathematics of Data Science by : Simon Foucart
Download or read book Explorations in the Mathematics of Data Science written by Simon Foucart and published by Springer Nature. This book was released on with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Integration of Constraint Programming, Artificial Intelligence, and Operations Research by : Willem-Jan van Hoeve
Download or read book Integration of Constraint Programming, Artificial Intelligence, and Operations Research written by Willem-Jan van Hoeve and published by Springer. This book was released on 2018-06-07 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 15th International Conference on Integration of Artificial Intelligence and Operations Research Techniques in Constraint Programming for Combinatorial Optimization Problems, CPAIOR 2018, held in Delft, The Netherlands, in June 2018. The 47 full papers presented together with 3 abstracts of invited talks and 3 abstracts of fast-track journal papers were carefully reviewed and selected from 111 submissions. The conference brings together interested researchers from constraint programming, artificial intelligence, and operations research to present new techniques or applications in the intersection of these fields and provides an opportunity for researchers in one area to learn about techniques in the others, and to show how the integration of techniques from different fields can lead to interesting results on large and complex problems.
Book Synopsis Approximation, Optimization and Mathematical Economics by : Marc Lassonde
Download or read book Approximation, Optimization and Mathematical Economics written by Marc Lassonde and published by Springer Science & Business Media. This book was released on 2001-01-26 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this proceedings volume reflect the current trends in the theory of approximation, optimization and mathematical economics, and include numerous applications. The book will be of interest to researchers and graduate students involved in functional analysis, approximation theory, mathematical programming and optimization, game theory, mathematical finance and economics.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spline Approach to Optimal Control Problems with Constraints by : Guanrong Chen
Download or read book Spline Approach to Optimal Control Problems with Constraints written by Guanrong Chen and published by . This book was released on 1987 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis SIAM Journal on Scientific Computing by :
Download or read book SIAM Journal on Scientific Computing written by and published by . This book was released on 1995 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Technology for Large Space Systems by :
Download or read book Technology for Large Space Systems written by and published by . This book was released on 1989 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt:
