Publications associées à Almost-Uniform Sampling of Points on High-Dimensional Algebraic Varieties

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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

Almost-Uniform Sampling of Points on High-Dimensional Algebraic Varieties

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

Towards Generalized FRI Sampling with an Application to Source Resolution in Radioastronomy

Distinct distances on regular varieties over finite fields

Handheld reflectance acquisition of paintings

Riemannian Optimization For High-Dimensional Tensor Completion

Polynomials Vanishing On Cartesian Products: The Elekes-Szabo Theorem Revisited

Design and quality evaluation of micro-optical freeform beam shapers

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

Multivariate Markov-type and Nikolskii-type inequalities for polynomials associated with downward closed multi-index sets

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

Towards Generalized FRI Sampling with an Application to Source Resolution in Radioastronomy

Riemannian Optimization For High-Dimensional Tensor Completion

Polynomials Vanishing On Cartesian Products: The Elekes-Szabo Theorem Revisited

Design and quality evaluation of micro-optical freeform beam shapers

Multivariate Markov-type and Nikolskii-type inequalities for polynomials associated with downward closed multi-index sets

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

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

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

Distinct distances on regular varieties over finite fields

Handheld reflectance acquisition of paintings