Active subspaces : emerging ideas for dimension reduction in parameter studies /

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Bibliographic Details
Author / Creator:Constantine, Paul G., author.
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
Hidden Bibliographic Details
Other authors / contributors:Society for Industrial and Applied Mathematics, publisher.
ISBN:9781611973860
1611973864
9781611973853
1611973856
Notes:Includes bibliographical references and index.
English.
Title from title screen, viewed 04/03/2015.
Summary: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.
Other form:Print version: Constantine, Paul G. Active subspaces. Philadelphia : Society for Industrial and Applied Mathematics, 2015 9781611973853
Publisher's no.:SL02 SIAM

MARC

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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). 
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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 
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