Active subspaces : emerging ideas for dimension reduction in parameter studies /
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Author / Creator: | Constantine, Paul G., author. |
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Imprint: | Philadelphia, Pennsylvania : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2015. |
Description: | 1 online resource (x, 100 pages). |
Language: | English |
Series: | SIAM spotlights ; 02 SIAM spotlights ; 02. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/12577566 |
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050 | 4 | |a QA322 |b .C64 2015eb | |
100 | 1 | |a Constantine, Paul G., |e author. |0 http://id.loc.gov/authorities/names/n2014078002 |1 http://viaf.org/viaf/38146284403715331451 | |
245 | 1 | 0 | |a Active subspaces : |b emerging ideas for dimension reduction in parameter studies / |c Paul G. Constantine, Colorado School of Mines, Golden, Colorado. |
264 | 1 | |a Philadelphia, Pennsylvania : |b Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), |c 2015. | |
300 | |a 1 online resource (x, 100 pages). | ||
336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
337 | |a computer |b c |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/c | ||
338 | |a online resource |b cr |2 rdacarrier |0 http://id.loc.gov/vocabulary/carriers/cr | ||
490 | 1 | |a SIAM spotlights ; |v 02 | |
504 | |a Includes bibliographical references and index. | ||
505 | 0 | |a Preface -- Quick start -- Parameterized models in physics and engineering -- Discover the active subspace -- Exploit the active subspace -- Active subspaces in action -- Summary and future directions. | |
520 | 3 | |a Scientists and engineers use computer simulations to study relationships between a model's input parameters and its outputs. However, thorough parameter studies are challenging, if not impossible, when the simulation is expensive and the model has several inputs. To enable studies in these instances, the engineer may attempt to reduce the dimension of the model's input parameter space. Active subspaces are an emerging set of dimension reduction tools that identify important directions in the parameter space. This book describes techniques for discovering a model's active subspace and proposes methods for exploiting the reduced dimension to enable otherwise infeasible parameter studies. Readers will find: new ideas for dimension reduction; easy-to-implement algorithms; and several examples of active subspaces in action. | |
588 | |a Title from title screen, viewed 04/03/2015. | ||
546 | |a English. | ||
650 | 0 | |a Function spaces. |0 http://id.loc.gov/authorities/subjects/sh85052310 | |
650 | 0 | |a Functional analysis. |0 http://id.loc.gov/authorities/subjects/sh85052312 | |
650 | 0 | |a Shift operators (Operator theory) |0 http://id.loc.gov/authorities/subjects/sh85121408 | |
650 | 0 | |a Hilbert space. |0 http://id.loc.gov/authorities/subjects/sh85060803 | |
650 | 0 | |a Linear topological spaces. |0 http://id.loc.gov/authorities/subjects/sh85077185 | |
650 | 7 | |a Function spaces. |2 fast |0 (OCoLC)fst00936058 | |
650 | 7 | |a Functional analysis. |2 fast |0 (OCoLC)fst00936061 | |
650 | 7 | |a Hilbert space. |2 fast |0 (OCoLC)fst00956785 | |
650 | 7 | |a Linear topological spaces. |2 fast |0 (OCoLC)fst00999101 | |
650 | 7 | |a Shift operators (Operator theory) |2 fast |0 (OCoLC)fst01115924 | |
650 | 7 | |a Mathematics. |2 hilcc | |
650 | 7 | |a Physical Sciences & Mathematics. |2 hilcc | |
650 | 7 | |a Calculus. |2 hilcc | |
653 | |a Active subspaces | ||
653 | |a Dimension reduction | ||
653 | |a Uncertainty quantification | ||
653 | |a Large-scale simulations | ||
653 | |a Computational science | ||
655 | 4 | |a Electronic books. | |
710 | 2 | |a Society for Industrial and Applied Mathematics, |e publisher. |0 http://id.loc.gov/authorities/names/n79053057 |1 http://viaf.org/viaf/138967442 | |
776 | 0 | 8 | |i Print version: Constantine, Paul G. |t Active subspaces. |d Philadelphia : Society for Industrial and Applied Mathematics, 2015 |z 9781611973853 |w (DLC) 2014048798 |w (OCoLC)898334338 |
830 | 0 | |a SIAM spotlights ; |v 02. |0 http://id.loc.gov/authorities/names/no2015079269 | |
903 | |a HeVa | ||
929 | |a oclccm | ||
999 | f | f | |i 994e4348-0b53-5487-8a71-098e00d40d29 |s 8fbaf40e-63f4-523e-a361-2936b5237289 |
928 | |t Library of Congress classification |a QA322 .C64 2015eb |l Online |c UC-FullText |u https://epubs.siam.org/doi/book/10.1137/1.9781611973860 |z Society for Industrial and Applied Mathematics |g ebooks |i 12568950 |