emerging ideas for dimension reduction in parameter studies /
First Statement of Responsibility
Paul G. Constantine, Colorado School of Mines, Golden, Colorado
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
ix, 100 pages :
Other Physical Details
illustrations ;
Dimensions
26 cm
SERIES
Series Title
SIAM spotlights ;
Volume Designation
2
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index
CONTENTS NOTE
Text of Note
Quick start -- Parameterized models in physics and engineering -- Discover the active subspace -- Exploit the active subspace -- Active subspaces in action -- Summary and future directions
0
SUMMARY OR ABSTRACT
Text of Note
"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" -- From the publisher