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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

Fonction d'erreur

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Optimal Approximation for Submodular and Supermodular Optimization with Bounded Curvature

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

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Sampling at unknown locations, with an application in surface retrieval

Busy Man’s Synthesis: Combinational Delay Optimization With SAT

Stochastic Composite Least-Squares Regression with Convergence Rate O(1/n)

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Stable Simulation of Multiport Passive Distributed Networks Using Time Marching Method