Publications associées à Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets

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MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Fabio Nobile, Giovanni Migliorati

We analyze the accuracy of the discrete least-squares approximation of a function u in multivariate polynomial spaces

P_\Lambda := span\{y \mapsto y^\nu | \nu \in \Lambda\}

with

\Lambda\subset N_0^d

over the domain

\Gamma := [-1,1]^d

, based on the sa ...

MATHICSE2015

Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets

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Generalized Gauss Inequalities via Semidefinite Programming

Dimensionality Reduction in Dynamic Optimization under Uncertainty

MATHICSE Technical Report : Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets

MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Adaptive polynomial approximation by means of random discrete least squares

Discrete least squares polynomial approximation with random evaluations − application to parametric and stochastic elliptic PDEs

The Chaining Lemma and Its Application

Analysis of Discrete L2 Projection on Polynomial Spaces with Random Evaluations

Perturbation analysis for the Darcy problem with log-normal permeability

MATHICSE Technical Report : Discrete least squares polynomial approximation with random evaluations – application to parametric and stochastic elliptic PDES

Dimensionality Reduction in Dynamic Optimization under Uncertainty

Adaptive polynomial approximation by means of random discrete least squares

The Chaining Lemma and Its Application

Discrete least squares polynomial approximation with random evaluations − application to parametric and stochastic elliptic PDEs

Perturbation analysis for the Darcy problem with log-normal permeability

MATHICSE Technical Report : Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets

MATHICSE Technical Report : Discrete least squares polynomial approximation with random evaluations – application to parametric and stochastic elliptic PDES

MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Generalized Gauss Inequalities via Semidefinite Programming

Analysis of Discrete L2 Projection on Polynomial Spaces with Random Evaluations