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Robust sparse canonical correlation analysis

机译:鲁棒的稀疏典范相关分析

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摘要

BackgroundCanonical correlation analysis (CCA) is a multivariate statistical method which describes the associations between two sets of variables. The objective is to find linear combinations of the variables in each data set having maximal correlation. In genomics, CCA has become increasingly important to estimate the associations between gene expression data and DNA copy number change data. The identification of such associations might help to increase our understanding of the development of diseases such as cancer. However, these data sets are typically high-dimensional, containing a lot of variables relative to the number of objects. Moreover, the data sets might contain atypical observations since it is likely that objects react differently to treatments. We discuss a method for Robust Sparse CCA, thereby providing a solution to both issues. Sparse estimation produces canonical vectors with some of their elements estimated as exactly zero. As such, their interpretability is improved. Robust methods can cope with atypical observations in the data.
机译:背景规范相关分析(CCA)是一种多变量统计方法,用于描述两组变量之间的关联。目的是在每个数据集中找到具有最大相关性的变量的线性组合。在基因组学中,CCA在估计基因表达数据与DNA拷贝数变化数据之间的关联方面变得越来越重要。识别此类关联可能有助于增进我们对癌症等疾病发展的了解。但是,这些数据集通常是高维的,包含相对于对象数量的许多变量。此外,数据集可能包含非典型观察值,因为对象对处理的反应可能不同。我们讨论了鲁棒稀疏CCA的方法,从而为这两个问题提供了解决方案。稀疏估计会生成规范向量,其某些元素估计为正零。这样,它们的可解释性得到改善。健壮的方法可以应对数据中的非典型观察。

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