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Updated: Nov 25, 2025

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Tensor-Decomposition-Based Unsupervised Feature Extraction Applied to Prostate Cancer Multiomics Data.
1Department of Physics, Chuo University, Tokyo 112-8551, Japan.
We developed a novel tensor decomposition (TD)-based unsupervised feature extraction (FE) method to address the large p small n challenge in multiomics data. This method effectively identifies biologically relevant genes, outperforming existing techniques.
Area of Science:
- Bioinformatics
- Computational Biology
- Genomics
Background:
- The large p small n problem, where features vastly outnumber samples, is a significant challenge in multiomics data analysis.
- Existing feature selection methods often struggle with the high dimensionality and limited sample size characteristic of these datasets.
Purpose of the Study:
- To propose and evaluate a novel tensor decomposition (TD)-based unsupervised feature extraction (FE) formalism for multiomics datasets.
- To demonstrate the superiority of TD-based FE over conventional supervised and unsupervised methods in addressing the large p small n problem.
Main Methods:
- Application of tensor decomposition (TD) for unsupervised feature extraction (FE) on multiomics data.
- Comparison of TD-based FE with methods including random forest, ANOVA, penalized linear discriminant analysis, non-negative matrix factorization, and principal component analysis (PCA).
Main Results:
- TD-based unsupervised FE significantly outperformed conventional methods on synthetic and real multiomics datasets.
- Genes identified by TD-based FE were enriched for known tissue-related and transcription factor genes.
- The method demonstrated superior feature selection and biological relevance.
Conclusions:
- TD-based unsupervised FE is a powerful and effective approach for the large p small n problem in multiomics data integration.
- This method provides biologically reliable gene selection, advancing multiomics data analysis.
- This study represents the first application of TD-based unsupervised FE to diverse multiomics measurements.
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