Title
Multi-View Learning As A Nonparametric Nonlinear Inter-Battery Factor Analysis
Abstract
Factor analysis aims to determine latent factors, or traits, which summarize a given data set. Inter-battery factor analysis extends this notion to multiple views of the data. In this paper we show how a nonlinear, nonparametric version of these models can be recovered through the Gaussian process latent variable model. This gives us a flexible formalism for multi-view learning where the latent variables can be used both for exploratory purposes and for learning representations that enable efficient inference for ambiguous estimation tasks. Learning is performed in a Bayesian manner through the formulation of a variational compression scheme which gives a rigorous lower bound on the log likelihood. Our Bayesian framework provides strong regularization during training, allowing the structure of the latent space to be determined efficiently and automatically. We demonstrate this by producing the first (to our knowledge) published results of learning from dozens of views, even when data is scarce. We further show experimental results on several different types of multi-view data sets and for different kinds of tasks, including exploratory data analysis, generation, ambiguity modelling through latent priors and classification.
Year
DOI
Venue
2016
v22/16-179.html
JOURNAL OF MACHINE LEARNING RESEARCH
Keywords
Field
DocType
representation learning, factor analysis, Gaussian processes, inter-battery factor analysis
Inference,Latent class model,Latent variable,Artificial intelligence,Probabilistic latent semantic analysis,Exploratory data analysis,Prior probability,Feature learning,Machine learning,Mathematics,Bayesian probability
Journal
Volume
Issue
ISSN
22
1
1532-4435
Citations 
PageRank 
References 
1
0.63
22
Authors
3
Name
Order
Citations
PageRank
andreas damianou115117.68
Neil D. Lawrence23411268.51
carl henrik ek332730.76