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