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Wavelet frames to optimally learn functions on diffusion measure spaces.
In: (9th International ISAAC Congress on Current Trends in Analysis and Its Applications, 2013). Springer, 2015. 715-720 (Trends Math. ; 2)
Based on the theory of wavelets on data defined manifolds we study the Kolmogorov metric entropy and related measures of complexity of certain function spaces. We also develop constructive algorithms to represent those functions within a prescribed accuracy that is asymptotically optimal up to a logarithmic factor.
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Publication type Article: Conference contribution
Keywords Data-defined Manifold ; Diffusion Measure Space
ISSN (print) / ISBN 2297-0215
Conference Title 9th International ISAAC Congress on Current Trends in Analysis and Its Applications, 2013
Journal Trends in Mathematics
Quellenangaben Volume: 2, Pages: 715-720
Institute(s) Institute of Computational Biology (ICB)