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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Language: | en_US |
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2004
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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. |
first_indexed | 2024-09-23T16:54:43Z |
id | mit-1721.1/7184 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T16:54:43Z |
publishDate | 2004 |
record_format | dspace |
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 |