Publications associées à Quantitative $ L ^{ 2 } $ Approximation Error of a Probability Density Estimate Given by It Samples

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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

Quantitative $ L ^{ 2 } $ Approximation Error of a Probability Density Estimate Given by It Samples

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Stochastic vs. sensitivity-based integral parameter and nuclear data adjustments

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

Solving Stochastic AC Power Flow via Polynomial Chaos Expansion

Inference for binomial probability based on dependent Bernoulli random variables with applications to meta-analysis and group level studies

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

Generalized Poisson Summation Formula for Tempered Distributions

Interactive Design of Probability Density Functions for Shape Grammars

New counterexamples for sums-differences

MMSE Estimation of Sparse Levy Processes

Methodology to account for uncertainties and tradeoffs in pharmaceutical environmental hazard assessment

Stochastic vs. sensitivity-based integral parameter and nuclear data adjustments

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

Solving Stochastic AC Power Flow via Polynomial Chaos Expansion

Interactive Design of Probability Density Functions for Shape Grammars

Inference for binomial probability based on dependent Bernoulli random variables with applications to meta-analysis and group level studies

Generalized Poisson Summation Formula for Tempered Distributions

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

MMSE Estimation of Sparse Levy Processes

Methodology to account for uncertainties and tradeoffs in pharmaceutical environmental hazard assessment

New counterexamples for sums-differences