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Fusing heterogeneous data sets
These different sources of measurements not only provide us with the opportunity of a deeper understanding of the studied system, but they also introduce some new statistical challenges. All these challenges are related to the heterogeneity of the data sets. The first type of heterogeneity is the ty…
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These different sources of measurements not only provide us with the opportunity of a deeper understanding of the studied system, but they also introduce some new statistical challenges. All these challenges are related to the heterogeneity of the data sets. The first type of heterogeneity is the type of data , such as metabolomics, proteomics and RNAseq data in genomics. These different omics data reflect the properties of the studied biological system from different perspectives. The second type of heterogeneity is the type of scale , which indicates the measurements are obtained at different scales, such as binary, ordinal, interval and ratio-scaled variables. Within this thesis, various data fusion approaches are developed to tackle either one or two types of heterogeneity that exist in multiple data sets.