Parameter Choice Strategies for Least-squares Approximation of Noisy Smooth Functions on the Sphere
Parameter Choice Strategies for Least-squares Approximation of Noisy Smooth Functions on the Sphere
We consider a polynomial reconstruction of smooth functions from their noisy values at discrete nodes on the unit sphere by a variant of the regularized least-squares method of An et al. [SIAM J. Numer. Anal., 50 (2012), pp. 1513--1534]. As nodes we use the points of a positive-weight cubature formula …