Publications [#380152] of Peter D. Hoff
Papers Published
- Hoff, PD. "Hierarchical multilinear models for multiway data." Computational Statistics and Data Analysis 55.1 (January, 2011): 530-543. [doi]
(last updated on 2026/01/13)Abstract:
Reduced-rank decompositions provide descriptions of the variation among the elements of a matrix or array. In such decompositions, the elements of an array are expressed as products of low-dimensional latent factors. This article presents a model-based version of such a decomposition, extending the scope of reduced-rank methods to accommodate a variety of data types such as longitudinal social networks and continuous multivariate data that are cross-classified by categorical variables. The proposed model-based approach is hierarchical, in that the latent factors corresponding to a given dimension of the array are not a priori independent, but exchangeable. Such a hierarchical approach allows more flexibility in the types of patterns that can be represented. © 2010 Elsevier B.V. All rights reserved.