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.
CITATION STYLE
Ehler, M., & Filbir, F. (2015). Wavelet frames to optimally learn functions on diffusion measure spaces. In Trends in Mathematics (Vol. 2, pp. 715–720). Springer International Publishing. https://doi.org/10.1007/978-3-319-12577-0_78
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