Independent Principal Component Analysis for biologically meaningful dimension reduction of large biological data sets

BMC Bioinformatics

Research Article

Kim-Anh Lê Cao¹  Jeff Coquery²  Fangzhou Yao³ 

[1] Queensland Facility for Advanced Bioinformatics, University of Queensland, QLD 4072, St Lucia, Australia;Queensland Facility for Advanced Bioinformatics, University of Queensland, QLD 4072, St Lucia, Australia;Sup'Biotech, F-94800, Villejuif, France;Shanghai University of Finance and Economics, Shanghai, P.R. China;Queensland Facility for Advanced Bioinformatics, University of Queensland, QLD 4072, St Lucia, Australia;

关键词: Principal Component Analysis;    Singular Value Decomposition;    Independent Component Analysis;    Loading Vector;    Sparse Principal Component Analysis;   

DOI  :  10.1186/1471-2105-13-24

 received in 2011-09-05, accepted in 2012-02-03,  发布年份 2012

来源: Springer

【 摘 要 】

BackgroundA key question when analyzing high throughput data is whether the information provided by the measured biological entities (gene, metabolite expression for example) is related to the experimental conditions, or, rather, to some interfering signals, such as experimental bias or artefacts. Visualization tools are therefore useful to better understand the underlying structure of the data in a 'blind' (unsupervised) way. A well-established technique to do so is Principal Component Analysis (PCA). PCA is particularly powerful if the biological question is related to the highest variance. Independent Component Analysis (ICA) has been proposed as an alternative to PCA as it optimizes an independence condition to give more meaningful components. However, neither PCA nor ICA can overcome both the high dimensionality and noisy characteristics of biological data.ResultsWe propose Independent Principal Component Analysis (IPCA) that combines the advantages of both PCA and ICA. It uses ICA as a denoising process of the loading vectors produced by PCA to better highlight the important biological entities and reveal insightful patterns in the data. The result is a better clustering of the biological samples on graphical representations. In addition, a sparse version is proposed that performs an internal variable selection to identify biologically relevant features (sIPCA).ConclusionsOn simulation studies and real data sets, we showed that IPCA offers a better visualization of the data than ICA and with a smaller number of components than PCA. Furthermore, a preliminary investigation of the list of genes selected with sIPCA demonstrate that the approach is well able to highlight relevant genes in the data with respect to the biological experiment.IPCA and sIPCA are both implemented in the R package mixomics dedicated to the analysis and exploration of high dimensional biological data sets, and on mixomics' web-interface.

【 授权许可】

Unknown   
© Yao et al; licensee BioMed Central Ltd. 2012. This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.