TR: sparse coding and ICA
Bruno A. Olshausen
bruno at redwood.ucdavis.edu
Wed Sep 18 14:05:25 EDT 1996
The following TR is available via
ftp://publications.ai.mit.edu/ai-publications/1500-1999/AIM-1580.ps.Z
Learning Linear, Sparse, Factorial Codes
Bruno A. Olshausen
In previous work (Nature, 381:607-609), an algorithm was described
for learning linear sparse codes which, when trained on natural
images, produces a set of basis functions that are spatially
localized, oriented, and bandpass (i.e., wavelet-like). This note
shows how the algorithm may be interpreted within a maximum-likelihood
framework. Several useful insights emerge from this connection: it
makes explicit the relation to statistical independence (i.e.,
factorial coding), it shows a formal relationship to the "independent
components analysis" algorithm of Bell and Sejnowski (1995), and it
suggests how to adapt parameters that were previously fixed.
Related papers are available via http://redwood.ucdavis.edu/bruno/papers.html
Bruno A. Olshausen Phone: (916) 757-8749
Center for Neuroscience Fax: (916) 757-8827
UC Davis Email: baolshausen at ucdavis.edu
1544 Newton Ct. WWW: http://redwood.ucdavis.edu
Davis, CA 95616
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