Learning Linear, Sparse, Factorial Codes

In previous work (Olshausen & Field 1996), 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 b...

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Main Author: Olshausen, Bruno A.
Language:en_US
Published: 2004
Subjects:
Online Access:http://hdl.handle.net/1721.1/7184
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author Olshausen, Bruno A.
author_facet Olshausen, Bruno A.
author_sort Olshausen, Bruno A.
collection MIT
description In previous work (Olshausen & Field 1996), 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 algorithm of Bell and Sejnowski (1995), and it suggests how to adapt parameters that were previously fixed.
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spelling mit-1721.1/71842019-04-10T11:52:41Z Learning Linear, Sparse, Factorial Codes Olshausen, Bruno A. unsupervised learning factorial coding sparse coding MIT In previous work (Olshausen & Field 1996), 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 algorithm of Bell and Sejnowski (1995), and it suggests how to adapt parameters that were previously fixed. 2004-10-20T20:49:08Z 2004-10-20T20:49:08Z 1996-12-01 AIM-1580 CBCL-138 http://hdl.handle.net/1721.1/7184 en_US AIM-1580 CBCL-138 5 p. 233466 bytes 268006 bytes application/postscript application/pdf application/postscript application/pdf
spellingShingle unsupervised learning
factorial coding
sparse coding
MIT
Olshausen, Bruno A.
Learning Linear, Sparse, Factorial Codes
title Learning Linear, Sparse, Factorial Codes
title_full Learning Linear, Sparse, Factorial Codes
title_fullStr Learning Linear, Sparse, Factorial Codes
title_full_unstemmed Learning Linear, Sparse, Factorial Codes
title_short Learning Linear, Sparse, Factorial Codes
title_sort learning linear sparse factorial codes
topic unsupervised learning
factorial coding
sparse coding
MIT
url http://hdl.handle.net/1721.1/7184
work_keys_str_mv AT olshausenbrunoa learninglinearsparsefactorialcodes