Publications de Giovanni Migliorati

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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 s ...

2017

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

Giovanni Migliorati

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Function Integration, Reconstruction And Approximation Using Rank-1 Lattices

MATHICSE Technical Report : Function integration, reconstruction and approximation using rank-1 lattices

Stable high-order randomized cubature formulae in arbitrary dimension

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

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

Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points

MATHICSE Technical Report : Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points

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

Function Integration, Reconstruction And Approximation Using Rank-1 Lattices

MATHICSE Technical Report : Function integration, reconstruction and approximation using rank-1 lattices

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

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

Stable high-order randomized cubature formulae in arbitrary dimension

Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points

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

Adaptive polynomial approximation by means of random discrete least squares

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

MATHICSE Technical Report : Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points