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Joint analysis of time-evolving binary matrices and associated documents

Publication ,  Journal Article
Wang, E; Liu, D; Silva, J; Dunson, D; Carin, L
Published in: Advances in Neural Information Processing Systems 23: 24th Annual Conference on Neural Information Processing Systems 2010, NIPS 2010
December 1, 2010

We consider problems for which one has incomplete binary matrices that evolve with time (e:g:, the votes of legislators on particular legislation, with each year characterized by a different such matrix). An objective of such analysis is to infer structure and inter-relationships underlying the matrices, here defined by latent features associated with each axis of the matrix. In addition, it is assumed that documents are available for the entities associated with at least one of the matrix axes. By jointly analyzing the matrices and documents, one may be used to inform the other within the analysis, and the model offers the opportunity to predict matrix values (e:g:, votes) based only on an associated document (e:g:, legislation). The research presented here merges two areas of machine-learning that have previously been investigated separately: incomplete-matrix analysis and topic modeling. The analysis is performed from a Bayesian perspective, with efficient inference constituted via Gibbs sampling. The framework is demonstrated by considering all voting data and available documents (legislation) during the 220-year lifetime of the United States Senate and House of Representatives.

Duke Scholars

Published In

Advances in Neural Information Processing Systems 23: 24th Annual Conference on Neural Information Processing Systems 2010, NIPS 2010

Publication Date

December 1, 2010
 

Citation

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Wang, E., Liu, D., Silva, J., Dunson, D., & Carin, L. (2010). Joint analysis of time-evolving binary matrices and associated documents. Advances in Neural Information Processing Systems 23: 24th Annual Conference on Neural Information Processing Systems 2010, NIPS 2010.
Wang, E., D. Liu, J. Silva, D. Dunson, and L. Carin. “Joint analysis of time-evolving binary matrices and associated documents.” Advances in Neural Information Processing Systems 23: 24th Annual Conference on Neural Information Processing Systems 2010, NIPS 2010, December 1, 2010.
Wang E, Liu D, Silva J, Dunson D, Carin L. Joint analysis of time-evolving binary matrices and associated documents. Advances in Neural Information Processing Systems 23: 24th Annual Conference on Neural Information Processing Systems 2010, NIPS 2010. 2010 Dec 1;
Wang, E., et al. “Joint analysis of time-evolving binary matrices and associated documents.” Advances in Neural Information Processing Systems 23: 24th Annual Conference on Neural Information Processing Systems 2010, NIPS 2010, Dec. 2010.
Wang E, Liu D, Silva J, Dunson D, Carin L. Joint analysis of time-evolving binary matrices and associated documents. Advances in Neural Information Processing Systems 23: 24th Annual Conference on Neural Information Processing Systems 2010, NIPS 2010. 2010 Dec 1;

Published In

Advances in Neural Information Processing Systems 23: 24th Annual Conference on Neural Information Processing Systems 2010, NIPS 2010

Publication Date

December 1, 2010