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Inferring latent structure from mixed real and categorical relational data

Publication ,  Journal Article
Salazar, E; Cain, MS; Darling, EF; Mitroff, SR; Carin, L
Published in: Proceedings of the 29th International Conference on Machine Learning, ICML 2012
October 10, 2012

We consider analysis of relational data (a matrix), in which the rows correspond to subjects (e.g., people) and the columns correspond to attributes. The elements of the matrix may be a mix of real and categorical. Each subject and attribute is characterized by a latent binary feature vector, and an inferred matrix maps each row-column pair of binary feature vectors to an observed matrix element. The latent binary features of the rows are modeled via a multivariate Gaussian distribution with low-rank covariance matrix, and the Gaussian random variables are mapped to latent binary features via a probit link. The same type construction is applied jointly to the columns. The model infers latent, low-dimensional binary features associated with each row and each column, as well correlation structure between all rows and between all columns. Copyright 2012 by the author(s)/owner(s).

Duke Scholars

Published In

Proceedings of the 29th International Conference on Machine Learning, ICML 2012

Publication Date

October 10, 2012

Volume

2

Start / End Page

1039 / 1046
 

Citation

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Salazar, E., Cain, M. S., Darling, E. F., Mitroff, S. R., & Carin, L. (2012). Inferring latent structure from mixed real and categorical relational data. Proceedings of the 29th International Conference on Machine Learning, ICML 2012, 2, 1039–1046.
Salazar, E., M. S. Cain, E. F. Darling, S. R. Mitroff, and L. Carin. “Inferring latent structure from mixed real and categorical relational data.” Proceedings of the 29th International Conference on Machine Learning, ICML 2012 2 (October 10, 2012): 1039–46.
Salazar E, Cain MS, Darling EF, Mitroff SR, Carin L. Inferring latent structure from mixed real and categorical relational data. Proceedings of the 29th International Conference on Machine Learning, ICML 2012. 2012 Oct 10;2:1039–46.
Salazar, E., et al. “Inferring latent structure from mixed real and categorical relational data.” Proceedings of the 29th International Conference on Machine Learning, ICML 2012, vol. 2, Oct. 2012, pp. 1039–46.
Salazar E, Cain MS, Darling EF, Mitroff SR, Carin L. Inferring latent structure from mixed real and categorical relational data. Proceedings of the 29th International Conference on Machine Learning, ICML 2012. 2012 Oct 10;2:1039–1046.

Published In

Proceedings of the 29th International Conference on Machine Learning, ICML 2012

Publication Date

October 10, 2012

Volume

2

Start / End Page

1039 / 1046