Approximation theory perspective on data processing

Start: 04/06/2016 - 4:15pm
End  : 04/06/2016 - 5:15pm


Hrushikesh Mhaskar (CGU/Caltech)


We argue that data based classification and regression problems can be viewed profitably as problems of function approximation. We describe in detail a case study in the theory of function approximation in case of approximation of continuous 2*pi–periodic functions by trigonometric polynomials. In particular, we will discuss the equivalence theorems, and some relatively new research regarding local approximation based on Fourier information. Several extensions to other settings are mentioned, and a few applications and potential applications are discussed.

Argue Auditorium, Millikan, Pomona College

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