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

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Random sampling of bandlimited signals on graphs

Pierre Vandergheynst, Rémi Gribonval, Gilles Puy, Nicolas Tremblay

We study the problem of sampling

k

-bandlimited signals on graphs. We propose two sampling strategies that consist in selecting a small subset of nodes at random. The first strategy is non-adaptive, \ie, independent of the graph structure, and its perform ...

2015

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

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

Random sampling of bandlimited signals on graphs

Adaptive polynomial approximation by means of random discrete least squares

Generalized Poisson Summation Formula for Tempered Distributions

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

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

Distributionally Robust Multi-Item Newsvendor Problems with Multimodal Demand Distributions

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

Analysis of Discrete L2 Projection on Polynomial Spaces with Random Evaluations

On Selection of Samples in Algebraic Attacks and a New Technique to Find Hidden Low Degree Equations

Generalized Poisson Summation Formula for Tempered Distributions

Random sampling of bandlimited signals on graphs

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

On Selection of Samples in Algebraic Attacks and a New Technique to Find Hidden Low Degree Equations

MATHICSE Technical Report : 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

Analysis of Discrete L2 Projection on Polynomial Spaces with Random Evaluations

Distributionally Robust Multi-Item Newsvendor Problems with Multimodal Demand Distributions