May 9, 2021

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Parameter Estimation and Inverse Problems

Parameter Estimation and Inverse Problems
Author : Richard C. Aster,Brian Borchers,Clifford H. Thurber
Publisher : Academic Press
Release Date : 2013
Category : Mathematics
Total pages :360
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Parameter Estimation and Inverse Problems, Second Edition provides geoscience students and professionals with answers to common questions like how one can derive a physical model from a finite set of observations containing errors, and how one may determine the quality of such a model. This book takes on these fundamental and challenging problems, introducing students and professionals to the broad range of approaches that lie in the realm of inverse theory. The authors present both the underlying theory and practical algorithms for solving inverse problems. The authors' treatment is appropriate for geoscience graduate students and advanced undergraduates with a basic working knowledge of calculus, linear algebra, and statistics. Parameter Estimation and Inverse Problems, Second Edition introduces readers to both Classical and Bayesian approaches to linear and nonlinear problems with particular attention paid to computational, mathematical, and statistical issues related to their application to geophysical problems. The textbook includes Appendices covering essential linear algebra, statistics, and notation in the context of the subject. Includes appendices for review of needed concepts in linear, statistics, and vector calculus. Accessible to students and professionals without a highly specialized mathematical background.

Parameter Estimation and Inverse Problems

Parameter Estimation and Inverse Problems
Author : Richard C. Aster,Brian Borchers,Clifford H. Thurber
Publisher : Elsevier
Release Date : 2018-10-16
Category : Science
Total pages :404
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Parameter Estimation and Inverse Problems, Third Edition, is structured around a course at New Mexico Tech and is designed to be accessible to typical graduate students in the physical sciences who do not have an extensive mathematical background. The book is complemented by a companion website that includes MATLAB codes that correspond to examples that are illustrated with simple, easy to follow problems that illuminate the details of particular numerical methods. Updates to the new edition include more discussions of Laplacian smoothing, an expansion of basis function exercises, the addition of stochastic descent, an improved presentation of Fourier methods and exercises, and more. Features examples that are illustrated with simple, easy to follow problems that illuminate the details of a particular numerical method Includes an online instructor’s guide that helps professors teach and customize exercises and select homework problems Covers updated information on adjoint methods that are presented in an accessible manner

Inverse Problem Theory and Methods for Model Parameter Estimation

Inverse Problem Theory and Methods for Model Parameter Estimation
Author : Albert Tarantola
Publisher : SIAM
Release Date : 2005-01-01
Category : Mathematics
Total pages :342
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This book proposes a general approach to the basic difficulties appearing in the resolution of inverse problems.

Inverse Problem Theory

Inverse Problem Theory
Author : A. Tarantola
Publisher : Elsevier
Release Date : 2013-10-14
Category : Mathematics
Total pages :644
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Inverse Problem Theory is written for physicists, geophysicists and all scientists facing the problem of quantitative interpretation of experimental data. Although it contains a lot of mathematics, it is not intended as a mathematical book, but rather tries to explain how a method of acquisition of information can be applied to the actual world. The book provides a comprehensive, up-to-date description of the methods to be used for fitting experimental data, or to estimate model parameters, and to unify these methods into the Inverse Problem Theory. The first part of the book deals with discrete problems and describes Maximum likelihood, Monte Carlo, Least squares, and Least absolute values methods. The second part deals with inverse problems involving functions. The book is almost completely self-contained, with all important concepts carefully introduced. Although theoretical concepts are strongly emphasized, the author has ensured that all the useful formulas are listed, with many special cases included. The book will thus serve equally well as a reference manual for researchers needing to refresh their memories on a given algorithm, or as a textbook in a course for undergraduate or graduate students.

Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology

Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology
Author : Johannes Gottlieb,Paul DuChateau
Publisher : Springer Science & Business Media
Release Date : 2012-12-06
Category : Science
Total pages :302
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The Workshop on Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology, Karlsruhe, April 10-12, 1995, was organized to bring to gether an interdisciplinary group drawn from the areas of science, engineering and mathematics for the following purposes: - to promote, encourage and influence more understanding and cooperation in the community of parameter identifiers from various disciplines, - to forge unity in diversity by bringing together a variety of disciplines that attempt to understand the reconstruction of inner model parameters, un known nonlinear constitutive relations, heterogeneous structures inside of geological objects, sources or sinks from observational data, - to discuss modern regularization tools for handling improperly posed pro blems and strategies of incorporating a priori knowledge from the applied problem into the model and its treatment. These proceedings contain some of the results of the workshop, representing a bal anced selection of contributions from the various groups of participants. The reviewed invited and contributed articles are grouped according to the broad headings of hydrology, non-linear diffusion and soil physics, geophysical methods, mathematical analysis of inverse and ill-posed problems and parallel algorithms for inverse problems. Some of the issues adressed by the articles in these proceedings include the rela tion between least squares and direct formulations of inverse problems for partial differential equations, nonlinear regularization, identification of nonlinear consti tutive relations, fast parallel algorithms for large scale inverse problems, reduction of model structures, geostatistical inversion techniques.

Time Series Analysis and Inverse Theory for Geophysicists

Time Series Analysis and Inverse Theory for Geophysicists
Author : David Gubbins
Publisher : Cambridge University Press
Release Date : 2004-03-18
Category : Mathematics
Total pages :255
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The first textbook covering spectral analysis and geophysical data inversion for undergraduate and graduate students.

Introduction to Inverse Problems in Imaging

Introduction to Inverse Problems in Imaging
Author : M. Bertero,P. Boccacci
Publisher : CRC Press
Release Date : 2020-08-30
Category : Technology & Engineering
Total pages :364
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This is a graduate textbook on the principles of linear inverse problems, methods of their approximate solution, and practical application in imaging. The level of mathematical treatment is kept as low as possible to make the book suitable for a wide range of readers from different backgrounds in science and engineering. Mathematical prerequisites are first courses in analysis, geometry, linear algebra, probability theory, and Fourier analysis. The authors concentrate on presenting easily implementable and fast solution algorithms. With examples and exercises throughout, the book will provide the reader with the appropriate background for a clear understanding of the essence of inverse problems (ill-posedness and its cure) and, consequently, for an intelligent assessment of the rapidly growing literature on these problems.

Desenvolvimento Economico Local No Estado

Desenvolvimento Economico Local No Estado
Author : Fauré,Hasenclever
Publisher : Editora E-papers
Release Date : 2021
Category :
Total pages :129
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As idéias e análises contidas neste livro foram desenvolvidas durante três anos de estudos sobre o tecido empresarial, os projetos de apoio e as instituições municipais em vários sítios do estado do Rio de Janeiro, Brasil, com o objetivo de contribuir para um melhor entendimento teórico do tema desenvolvimento econômico local.

Inverse Problems in Engineering

Inverse Problems in Engineering
Author : Nicholas Zabaras,Keith A. Woodbury,Martin Raynaud
Publisher : Amer Society of Mechanical
Release Date : 1993
Category : Technology & Engineering
Total pages :369
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Computational Methods for Inverse Problems

Computational Methods for Inverse Problems
Author : Curtis R. Vogel
Publisher : SIAM
Release Date : 2002-01-01
Category : Mathematics
Total pages :183
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Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.

An Inverse Approach to the Estimation of the Tissue Thermal Properties and the Determination of the Optimal Treatment Time in Cryosurgical Applications

An Inverse Approach to the Estimation of the Tissue Thermal Properties and the Determination of the Optimal Treatment Time in Cryosurgical Applications
Author : Leslie Ann Scott
Publisher : Unknown
Release Date : 1993
Category : Cryosurgery
Total pages :324
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Inverse Problems and High-Dimensional Estimation

Inverse Problems and High-Dimensional Estimation
Author : Pierre Alquier,Eric Gautier,Gilles Stoltz
Publisher : Springer Science & Business Media
Release Date : 2011-06-07
Category : Mathematics
Total pages :198
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The “Stats in the Château” summer school was held at the CRC château on the campus of HEC Paris, Jouy-en-Josas, France, from August 31 to September 4, 2009. This event was organized jointly by faculty members of three French academic institutions ─ ENSAE ParisTech, the Ecole Polytechnique ParisTech, and HEC Paris ─ which cooperate through a scientific foundation devoted to the decision sciences. The scientific content of the summer school was conveyed in two courses, one by Laurent Cavalier (Université Aix-Marseille I) on "Ill-posed Inverse Problems", and one by Victor Chernozhukov (Massachusetts Institute of Technology) on "High-dimensional Estimation with Applications to Economics". Ten invited researchers also presented either reviews of the state of the art in the field or of applications, or original research contributions. This volume contains the lecture notes of the two courses. Original research articles and a survey complement these lecture notes. Applications to economics are discussed in various contributions.

Journal of the Indian Institute of Science

Journal of the Indian Institute of Science
Author : Indian Institute of Science, Bangalore
Publisher : Unknown
Release Date : 1992
Category : Science
Total pages :129
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Iterative Optimization in Inverse Problems

Iterative Optimization in Inverse Problems
Author : Charles L. Byrne
Publisher : CRC Press
Release Date : 2014-02-12
Category : Business & Economics
Total pages :300
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Iterative Optimization in Inverse Problems brings together a number of important iterative algorithms for medical imaging, optimization, and statistical estimation. It incorporates recent work that has not appeared in other books and draws on the author’s considerable research in the field, including his recently developed class of SUMMA algorithms. Related to sequential unconstrained minimization methods, the SUMMA class includes a wide range of iterative algorithms well known to researchers in various areas, such as statistics and image processing. Organizing the topics from general to more specific, the book first gives an overview of sequential optimization, the subclasses of auxiliary-function methods, and the SUMMA algorithms. The next three chapters present particular examples in more detail, including barrier- and penalty-function methods, proximal minimization, and forward-backward splitting. The author also focuses on fixed-point algorithms for operators on Euclidean space and then extends the discussion to include distance measures other than the usual Euclidean distance. In the final chapters, specific problems illustrate the use of iterative methods previously discussed. Most chapters contain exercises that introduce new ideas and make the book suitable for self-study. Unifying a variety of seemingly disparate algorithms, the book shows how to derive new properties of algorithms by comparing known properties of other algorithms. This unifying approach also helps researchers—from statisticians working on parameter estimation to image scientists processing scanning data to mathematicians involved in theoretical and applied optimization—discover useful related algorithms in areas outside of their expertise.

Approximation Techniques for Parameter Estimation and Feedback Control for Distributed Models of Large Flexible Structures

Approximation Techniques for Parameter Estimation and Feedback Control for Distributed Models of Large Flexible Structures
Author : Institute for Computer Applications in Science and Engineering,H. T. Banks
Publisher : Unknown
Release Date : 1984
Category :
Total pages :22
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