Monday Febuary 19th 2018
Giovanni Migliorati, (LJLL – Sorbonne Université)

Title: Least squares methods for high dimensional approximation
Abstract: In this paper we present the least-squares method for approaching a function that depends on a high number of parameters. We first go to some results on the stability and approximation error of estimators in the sense of standard and weighted least-squares. Then we will discuss the development of algorithms in a non-adaptive or adaptive framework, to bring together functions with real values or values in a Hilbert space.

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