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Optimal weighted least-squares methods

Optimal weighted least-squares methods

We consider the problem of reconstructing an unknown bounded function u defined on a domain X⊂ℝ d from noiseless or noisy samples of u at n points (x i ) i=1,⋯,n . We measure the reconstruction error in a norm L 2 (X,dρ) for some given probability measure dρ. Given …