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An abbreviated and very personal history of nonlinear approximation

Ronald DeVore

Recorded 09 July 2013 in Lausanne, Vaud, Switzerland

Event: Spars 2013 - Signal Processing with Adaptive Sparse Structured Representations

Abstract

Nonlinear approximation plays a central role in signal/image processing as well as in numerical analysis. Many numerical algorithms are built on some form of nonlinear approximation. This talk will discuss the history of the developments of this subject. We will touch on notions such as adaptivity, sparsity, compressibility, and greedy algorithms, and trace their roots.

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