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

Seldin, Y. (2009). PAC-Bayesian Generalization Bound for Density Estimation with Application to Co-clustering. In the proceedings of the 12th International Conference on Artificial Intelligence and Statistics (AISTATS 2009), 472-479.

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Seldin, Y1, Author           
Affiliations:
1Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497795              

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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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 Identifiers: URI: http://jmlr.csail.mit.edu/proceedings/papers/v5/seldin09a.html
BibTex Citekey: 6592
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Title: 12th International Conference on Artificial Intelligence and Statistics
Place of Event: Clearwater Beach, FL, USA
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Title: In the proceedings of the 12th International Conference on Artificial Intelligence and Statistics (AISTATS 2009)
Source Genre: Journal
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Publ. Info: Cambridge, MA, USA : MIT Press
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 472 - 479 Identifier: -