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March 2013 Joint and individual variation explained (JIVE) for integrated analysis of multiple data types
Eric F. Lock, Katherine A. Hoadley, J. S. Marron, Andrew B. Nobel
Ann. Appl. Stat. 7(1): 523-542 (March 2013). DOI: 10.1214/12-AOAS597

Abstract

Research in several fields now requires the analysis of data sets in which multiple high-dimensional types of data are available for a common set of objects. In particular, The Cancer Genome Atlas (TCGA) includes data from several diverse genomic technologies on the same cancerous tumor samples. In this paper we introduce Joint and Individual Variation Explained (JIVE), a general decomposition of variation for the integrated analysis of such data sets. The decomposition consists of three terms: a low-rank approximation capturing joint variation across data types, low-rank approximations for structured variation individual to each data type, and residual noise. JIVE quantifies the amount of joint variation between data types, reduces the dimensionality of the data and provides new directions for the visual exploration of joint and individual structures. The proposed method represents an extension of Principal Component Analysis and has clear advantages over popular two-block methods such as Canonical Correlation Analysis and Partial Least Squares. A JIVE analysis of gene expression and miRNA data on Glioblastoma Multiforme tumor samples reveals gene–miRNA associations and provides better characterization of tumor types.

Data and software are available at https://genome.unc.edu/jive/.

Citation

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Eric F. Lock. Katherine A. Hoadley. J. S. Marron. Andrew B. Nobel. "Joint and individual variation explained (JIVE) for integrated analysis of multiple data types." Ann. Appl. Stat. 7 (1) 523 - 542, March 2013. https://doi.org/10.1214/12-AOAS597

Information

Published: March 2013
First available in Project Euclid: 9 April 2013

zbMATH: 06171282
MathSciNet: MR3086429
Digital Object Identifier: 10.1214/12-AOAS597

Keywords: data fusion , data integration , multi-block data , Principal Component Analysis

Rights: Copyright © 2013 Institute of Mathematical Statistics

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Vol.7 • No. 1 • March 2013
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