Title
Heterogeneous Component Analysis
Abstract
In bioinformatics it is often desirable to combine data from various measurement sources and thus structured feature vectors are to be analyzed that possess different intrinsic blocking characteristics (e.g., different patt erns of missing values, obser- vation noise levels, effective intrinsic dimensionalitie s). We propose a new ma- chine learning tool, heterogeneous component analysis (HCA), for feature extrac- tion in order to better understand the factors that underlie such complex structured heterogeneous data. HCA is a linear block-wise sparse Bayesian PCA based not only on a probabilistic model with block-wise residual variance terms but also on a Bayesian treatment of a block-wise sparse factor-loading matrix. We study vari- ous algorithms that implement our HCA concept extracting sparse heterogeneous structure by obtaining common components for the blocks and specific compo- nents within each block. Simulations on toy and bioinformatics data underline the usefulness of the proposed structured matrix factorizatio n concept.
Year
Venue
Keywords
2007
NIPS
missing values,probabilistic model,complex structure,feature vector
Field
DocType
Citations 
Data mining,Computer science,Matrix (mathematics),Artificial intelligence,Missing data,Component analysis,Feature vector,Pattern recognition,Matrix decomposition,Feature extraction,Statistical model,Machine learning,Bayesian probability
Conference
0
PageRank 
References 
Authors
0.34
5
4
Name
Order
Citations
PageRank
Shigeyuki Oba129027.68
Motoaki Kawanabe21451118.86
Klaus-Robert Müller3127561615.17
Shin Ishii423934.39