skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Coherence motivated sampling and convergence analysis of least squares polynomial Chaos regression

Authors:
;
Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
OSTI Identifier:
1245267
Grant/Contract Number:  
SC0006402
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Computer Methods in Applied Mechanics and Engineering
Additional Journal Information:
Journal Name: Computer Methods in Applied Mechanics and Engineering Journal Volume: 290 Journal Issue: C; Journal ID: ISSN 0045-7825
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English

Citation Formats

Hampton, Jerrad, and Doostan, Alireza. Coherence motivated sampling and convergence analysis of least squares polynomial Chaos regression. Netherlands: N. p., 2015. Web. doi:10.1016/j.cma.2015.02.006.
Hampton, Jerrad, & Doostan, Alireza. Coherence motivated sampling and convergence analysis of least squares polynomial Chaos regression. Netherlands. https://doi.org/10.1016/j.cma.2015.02.006
Hampton, Jerrad, and Doostan, Alireza. 2015. "Coherence motivated sampling and convergence analysis of least squares polynomial Chaos regression". Netherlands. https://doi.org/10.1016/j.cma.2015.02.006.
@article{osti_1245267,
title = {Coherence motivated sampling and convergence analysis of least squares polynomial Chaos regression},
author = {Hampton, Jerrad and Doostan, Alireza},
abstractNote = {},
doi = {10.1016/j.cma.2015.02.006},
url = {https://www.osti.gov/biblio/1245267}, journal = {Computer Methods in Applied Mechanics and Engineering},
issn = {0045-7825},
number = C,
volume = 290,
place = {Netherlands},
year = {Mon Jun 01 00:00:00 EDT 2015},
month = {Mon Jun 01 00:00:00 EDT 2015}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at https://doi.org/10.1016/j.cma.2015.02.006

Citation Metrics:
Cited by: 74 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

A Compressed Sensing Approach for Partial Differential Equations with Random Input Data
journal, October 2012


Sparse Legendre expansions via <mml:math altimg="si12.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mrow><mml:mi>ℓ</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:math>-minimization
journal, May 2012


Stochastic finite element: a non intrusive approach by regression
journal, January 2006


Compressive sampling of polynomial chaos expansions: Convergence analysis and sampling strategies
journal, January 2015


Asymptotic forms for Laguerre polynomials
journal, February 1970


User-Friendly Tail Bounds for Sums of Random Matrices
journal, August 2011


Stochastic collocation and mixed finite elements for flow in porous media
journal, August 2008


On the Stability and Accuracy of Least Squares Approximations
journal, March 2013


Satellite collision probability estimation using polynomial chaos expansions
journal, December 2013


A non-adapted sparse approximation of PDEs with stochastic inputs
journal, April 2011


A weighted -minimization approach for sparse polynomial chaos expansions
journal, June 2014


The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
journal, January 2002


Mean Convergence of Expansions in Laguerre and Hermite Series
journal, July 1965


A Non-Intrusive Polynomial Chaos Method For Uncertainty Propagation in CFD Simulations
conference, June 2012


Nonlinear Propagation of Orbit Uncertainty Using Non-Intrusive Polynomial Chaos
journal, March 2013


Asymptotic analysis of the Hermite polynomials from their differential–difference equation
journal, December 2007


Generalized Jacobi Weights, Christoffel Functions, and Jacobi Polynomials
journal, March 1994


Multi-resolution analysis of Wiener-type uncertainty propagation schemes
journal, July 2004


A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
journal, January 2007


A Probabilistic and RIPless Theory of Compressed Sensing
journal, November 2011


STOCHASTIC COLLOCATION ALGORITHMS USING l1-MINIMIZATION
journal, January 2012


Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces
journal, January 2013


Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure
journal, January 2004


“Coarse” stability and bifurcation analysis using stochastic simulators: Kinetic Monte Carlo examples
journal, June 2002