Document Zbl 1454.62355

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S.</a>; <a href="/authors/nobel.andrew-b" title="Author Profile">Nobel, Andrew B.</a></div> <h2 class="title"> <strong>Joint and individual variation explained (JIVE) for integrated analysis of multiple data types.</strong> <i>(English)</i> <a class="label nowrap" href="/1454.62355">Zbl 1454.62355</a> </h2> <div class="source"> <a href="/serials/6234" title="Journal Profile">Ann. Appl. Stat.</a> <a href="/?q=in%3A318320" title="Articles in this Issue">7, No. 1, 523-542 (2013)</a>. </div> <div class="abstract">Summary: 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.<br class="zbmathjax-paragraph">Data and software are available at <a href="https://genome.unc.edu/jive/">https://genome.unc.edu/jive/</a>.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A6171282">Cited in <strong>57</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A62P10" title="MSC2020">62P10</a> </td> <td class="space"> Applications of statistics to biology and medical sciences; meta analysis </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A62H25" title="MSC2020">62H25</a> </td> <td class="space"> Factor analysis and principal components; correspondence analysis </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A62H30" title="MSC2020">62H30</a> </td> <td class="space"> Classification and discrimination; cluster analysis (statistical aspects) </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A62-08" title="MSC2020">62-08</a> </td> <td class="space"> Computational methods for problems pertaining to statistics </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Adata+integration">data integration</a>; <a href="/?q=ut%3Amulti-block+data">multi-block data</a>; <a href="/?q=ut%3Aprincipal+component+analysis">principal component analysis</a>; <a href="/?q=ut%3Adata+fusion">data fusion</a></div> <div class="software"> <h3>Software:</h3><a href="/software/9511">JIVE</a>; <a href="/software/9507">spls</a>; <a href="/software/9508">mixOmics</a>; <a href="/software/19126">PMA</a>; <a href="/software/29723">ArrayExpress</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1454.62355" data-ciurl="/ci/06171282" data-biburl="/bibtex/06171282.bib" data-amsurl="/amsrefs/06171282.bib" data-xmlurl="/xml/06171282.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06171282.pdf" title="Zbl 1454.62355 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1214/12-AOAS597" aria-label="DOI for “Joint and individual variation explained (JIVE) for integrated analysis of multiple data types”" title="10.1214/12-AOAS597">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1102.4110"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="https://projecteuclid.org/euclid.aoas/1365527209" title="Full Text at Project Euclid">Euclid</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Adourian, A., Jennings, E., Balasubramanian, R., Hines, W., Damian, D., Plasterer, T., Clish, C., Stroobant, P., McBurney, R., Verheij, E., Bobeldijk, I., Greef, J., Lindberg, J., Kenne, K., Andersson, U., Hellmold, H., Nilsson, K., Salterd, H. and Schuppe-Koistinenc, I. 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