A probabilistic graphical model based stochastic input model construction

Model reduction techniques have been widely used in modeling of high-dimensional stochastic input in uncertainty quantification tasks. However, the probabilistic modeling of random variables projected into reduced-order spaces presents a number of computational challenges. Due to the curse of dimens...

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Bibliographic Details
Published in:	Journal of computational physics Vol. 272; pp. 664 - 685
Main Authors:	Wan, Jiang, Zabaras, Nicholas
Format:	Journal Article
Language:	English
Published:	United States Elsevier Inc 01.09.2014
Subjects:	ACCURACY ALGORITHMS CHAOS THEORY CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Computation COMPUTERIZED SIMULATION Constraint-based algorithm Karhunen–Loève (KL) expansion Kernel PCA KERNELS LIMITING VALUES MATHEMATICAL MODELS MATHEMATICAL SOLUTIONS Model reduction NONLINEAR PROBLEMS Polynomial chaos expansion POLYNOMIALS Portable document format PROBABILISTIC ESTIMATION Probabilistic graphical model structure learning Probabilistic methods Probability theory Random variables RANDOMNESS STOCHASTIC PROCESSES Stochasticity Constraint-based algorithm Kernel PCA Probabilistic graphical model structure learning Polynomial chaos expansion Karhunen–Loève (KL) expansion
ISSN:	0021-9991, 1090-2716
Online Access:	Get full text
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