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Published on: July 3, 2020
Sparse semiparametric canonical correlation analysis for data of mixed types
Grace Yoon1, Raymond J Carroll1, Irina Gaynanova1
1Department of Statistics, Texas A&M University, College Station, Texas 77843, U.S.A.
We introduce a novel sparse canonical correlation analysis for complex datasets. This method effectively handles high-dimensional, mixed data types, including those with excess zeroes, by using latent Gaussian copulas.
Area of Science:
- Biostatistics
- Genomics
- Computational Biology
Background:
- Canonical correlation analysis (CCA) identifies relationships between variable sets.
- Traditional CCA struggles with high-dimensional and mixed data types (continuous, binary, zero-inflated).
Purpose of the Study:
- To develop a robust sparse canonical correlation analysis (SCCA) for high-dimensional, mixed-type data.
- To address limitations of existing CCA methods in modern biological datasets.
Main Methods:
- Proposed a semiparametric SCCA approach.
- Utilized truncated latent Gaussian copulas to model excess zeroes without marginal transformation estimation.
- Derived a rank-based estimator for the latent correlation matrix.
Main Results:
- The novel SCCA method demonstrates effectiveness in high-dimensional settings.
- Successfully applied to analyze associations between gene expression and microRNA data in breast cancer patients.
Conclusions:
- The proposed semiparametric SCCA offers a powerful tool for analyzing complex biological data.
- This approach advances the study of relationships in high-dimensional, mixed-type datasets, particularly in cancer genomics.
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