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" Active subspaces : "
Paul G. Constantine, Colorado School of Mines, Golden, Colorado
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BL
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| Record Number
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646487
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dltt
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| Main Entry
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Constantine, Paul G
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| Title & Author
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Active subspaces : : emerging ideas for dimension reduction in parameter studies /\ Paul G. Constantine, Colorado School of Mines, Golden, Colorado
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| Series Statement
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SIAM spotlights ;; 2
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| Page. NO
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ix, 100 pages :: illustrations ;; 26 cm
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| ISBN
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9781611973853
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: 1611973856
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| Bibliographies/Indexes
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Includes bibliographical references and index
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| Contents
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Quick start -- Parameterized models in physics and engineering -- Discover the active subspace -- Exploit the active subspace -- Active subspaces in action -- Summary and future directions
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| Abstract
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"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
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Function spaces
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Functional analysis
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Shift operators (Operator theory)
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Hilbert space
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Linear topological spaces
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