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An introduction to data analysis and uncertainty quantification for inverse problems (Record no. 558871)

000 -LEADER
fixed length control field 02261 a2200217 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20180514112352.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 180508b xxu||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781611974911
040 ## - CATALOGING SOURCE
Transcribing agency IIT Kanpur
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.357
Item number T258i
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Tenorio, Luis
245 ## - TITLE STATEMENT
Title An introduction to data analysis and uncertainty quantification for inverse problems
Statement of responsibility, etc Luis Tenorio
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher Society for Industrial and Applied Mathematics (SIAM)
Year of publication 2017
Place of publication Philadelphia
300 ## - PHYSICAL DESCRIPTION
Number of Pages ix, 269p
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Mathematics in industry / edited by Thomas A. Grandine
520 ## - SUMMARY, ETC.
Summary, etc Inverse problems are found in many applications, such as medical imaging, engineering, astronomy, and geophysics, among others. To solve an inverse problem is to recover an object from noisy, usually indirect observations. Solutions to inverse problems are subject to many potential sources of error introduced by approximate mathematical models, regularization methods, numerical approximations for efficient computations, noisy data, and limitations in the number of observations; thus it is important to include an assessment of the uncertainties as part of the solution. Such assessment is interdisciplinary by nature, as it requires, in addition to knowledge of the particular application, methods from applied mathematics, probability, and statistics.This book bridges applied mathematics and statistics by providing a basic introduction to probability and statistics for uncertainty quantification in the context of inverse problems, as well as an introduction to statistical regularization of inverse problems. The author covers basic statistical inference, introduces the framework of ill-posed inverse problems, and explains statistical questions that arise in their applications.An Introduction to Data Analysis and Uncertainty Quantification for Inverse Problems includes:many examples that explain techniques which are useful to address general problems arising in uncertainty quantificationBayesian and non-Bayesian statistical methods and discussions of their complementary roles, andanalysis of a real data set to illustrate the methodology covered throughout the book.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Inverse problems
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Permanent Location Current Location Date acquired Source of acquisition Cost, normal purchase price Full call number Accession Number Cost, replacement price Koha item type
        General Stacks PK Kelkar Library, IIT Kanpur PK Kelkar Library, IIT Kanpur 2018-05-08 7 3686.26 515.357 T258i A183557 4607.82 Books

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