Title
Predictive Matrix-Variate t Models
Abstract
It is becoming increasingly important to learn from a partially-observed random matrix and predict its missing elements. We assume that the entire matrix is a single sample drawn from a matrix-variate t distribution and suggest a matrix- variate t model (MVTM) to predict those missing elements. We show that MVTM generalizes a range of known probabilistic models, and automatically performs model selection to encourage sparse predictive models. Due to the non-conjugacy of its prior, it is difficult to make predictions by computing the mode or mean of the posterior distribution. We suggest an optimization method that sequentially minimizes a convex upper-bound of the log-likelihood, which is very efficient and scalable. The experiments on a toy data and EachMovie dataset show a good predictive accuracy of the model.
Year
Venue
Keywords
2007
NIPS
random matrix,posterior distribution,prediction model,probabilistic model,upper bound
Field
DocType
Citations 
Random variate,T-model,Computer science,Matrix (mathematics),Mode (statistics),Model selection,Posterior probability,Artificial intelligence,Probabilistic logic,Machine learning,Random matrix
Conference
8
PageRank 
References 
Authors
0.74
9
3
Name
Order
Citations
PageRank
Zhu, Shenghuo12996167.68
Yu, Kai24799255.21
yihong gong37300470.57