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TIT
1998
216views more  TIT 1998»
13 years 11 months ago
Data Compression and Harmonic Analysis
In this article we review some recent interactions between harmonic analysis and data compression. The story goes back of course to Shannon’s R(D) theory in the case of Gaussian...
David L. Donoho, Martin Vetterli, Ronald A. DeVore...
JMLR
2008
139views more  JMLR 2008»
13 years 11 months ago
Regularization on Graphs with Function-adapted Diffusion Processes
Harmonic analysis and diffusion on discrete data has been shown to lead to state-of-theart algorithms for machine learning tasks, especially in the context of semi-supervised and ...
Arthur D. Szlam, Mauro Maggioni, Ronald R. Coifman
ISMIR
2003
Springer
116views Music» more  ISMIR 2003»
14 years 4 months ago
Harmonic analysis with probabilistic graphical models
A technique for harmonic analysis is presented that partitions a piece of music into contiguous regions and labels each with the key, mode, and functional chord, e.g. tonic, domin...
Christopher Raphael, Josh Stoddard