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Learning theory studies data structures from samples and aims at understanding unknown function relations behind them. This leads to interesting theoretical problems which can be often attacked with methods from Approximation Theory. This workshop - the second one of this type at the MFO - has concentrated on the following recent topics: Learning of manifolds and the geometry of data; sparsity and dimension reduction; error analysis and algorithmic aspects, including kernel based methods for regression and classification; application of multiscale aspects and of refinement algorithms to learning.
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Kurt Jetter, Steve Smale, Ding-Xuan Zhou, Learning Theory and Approximation. Oberwolfach Rep. 9 (2012), no. 2, pp. 1895–1948