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  PAC-Bayesian Generalization Bound for Density Estimation with Application to Co-clustering

Seldin, Y., & Tishby, N. (2009). PAC-Bayesian Generalization Bound for Density Estimation with Application to Co-clustering. In Twelfth International Conference on Artificial Intelligence and Statistics (AISTATS 2009) (pp. 472-479). Cambridge, MA, USA: MIT Press.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-C54B-8 Version Permalink: https://hdl.handle.net/21.11116/0000-0002-FE5E-8
Genre: Conference Paper

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http://proceedings.mlr.press/v5/seldin09a/seldin09a.pdf (Publisher version)
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Seldin, Y1, Author           
Tishby, N, Author
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1External Organizations, ou_persistent22              

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 Abstract: We derive a PAC-Bayesian generalization bound for density estimation. Similar to the PAC-Bayesian generalization bound for classification, the result has the appealingly simple form of a tradeoff between empirical performance and the KL-divergence of the posterior from the prior. Moreover, the PAC-Bayesian generalization bound for classification can be derived as a special case of the bound for density estimation. To illustrate a possible application of our bound we derive a generalization bound for co-clustering. The bound provides a criterion to evaluate the ability of co-clustering to predict new co-occurrences, thus introducing a supervised flavor to this traditionally unsupervised task.

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 Dates: 2009-04
 Publication Status: Issued
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Title: Twelfth International Conference on Artificial Intelligence and Statistics (AISTATS 2009)
Place of Event: Clearwater Beach, FL, USA
Start-/End Date: 2009-04-16 - 2009-04-18

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Title: Twelfth International Conference on Artificial Intelligence and Statistics (AISTATS 2009)
Source Genre: Proceedings
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Publ. Info: Cambridge, MA, USA : MIT Press
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 472 - 479 Identifier: -

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Title: JMLR Workshop and Conference Proceedings
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Pages: - Volume / Issue: 5 Sequence Number: - Start / End Page: - Identifier: -