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THREE-WAY CLUSTERING OF MULTI-TISSUE MULTI-INDIVIDUAL GENE EXPRESSION DATA USING SEMI-NONNEGATIVE TENSOR
Miaoyan Wang1, Jonathan Fischer1, Yun S Song1
1University of Wisconsin, Madison and University of California, Berkeley.
The Annals of Applied Statistics
|December 31, 2020
Summary
This study introduces MultiCluster, a novel statistical method for analyzing gene expression data across tissues and individuals. MultiCluster effectively identifies complex three-way interactions, enhancing our understanding of transcriptome variation.
Area of Science:
- Genomics
- Bioinformatics
- Statistical Genetics
Background:
- High-throughput sequencing generates large multi-tissue gene expression datasets.
- Gene expression variation arises from complex interactions between genes, tissues, and individuals.
- Traditional clustering methods are inadequate for exploring these three-way interactions.
Purpose of the Study:
- To develop a statistical method for investigating transcriptome variation across individuals and tissues simultaneously.
- To address the limitations of classical clustering in analyzing complex, multi-way interactions in gene expression data.
- To leverage tensor decomposition for a more comprehensive analysis of multi-tissue transcriptomic data.
Main Methods:
- Proposed a novel statistical method, MultiCluster, utilizing semi-nonnegative tensor decomposition.
- Developed a tensor projection procedure for detecting covariate-related genes.
- Applied the method to GTEx RNA-seq data from 53 human tissues.
Main Results:
- MultiCluster accurately identifies three-way interactions between genes, tissues, and individuals.
- The tensor projection procedure demonstrates high power in detecting covariate-related genes.
- The method shows robustness in analyzing complex transcriptome variations.
Conclusions:
- MultiCluster offers a powerful approach for exploring multi-way interactions in large-scale gene expression datasets.
- Tensor-based methods provide advantages in incorporating information across similar tissues for enhanced gene discovery.
- This method advances the analysis of transcriptome complexity and biological variation.

