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math.NA2023
Multiscale estimates for the condition number of non-harmonic Fourier matrices
Weilin Li
This paper studies the extreme singular values of non-harmonic Fourier matrices. Such a matrix of size can be written as $Φ=[ e^{-2πi j x_k}]_{j=0,1,\dots,m-1, k=1,2,\d…
math.NA2020
Generalization error of minimum weighted norm and kernel interpolation
Weilin Li
We study the generalization error of functions that interpolate prescribed data points and are selected by minimizing a weighted norm. Under natural and general conditions, we prov…