2021/02/28 by Henrik Wiechers, Wiechers, Henrik, Benjamin Eltzner +6
Biochemistry, Genetics and Molecular Biology · Mathematics · #Applications (stat.AP) #Biomolecules (q-bio.BM) #FOS: Biological sciences #FOS: Computer and information sciences #RNA Research and Splicing #RNA and protein synthesis mechanisms #RNA modifications and cancer #q-bio.BM #stat.AP
paper · pdf · doi:10.48550/arxiv.2104.00094
8 pages, 4 figures, conference submission to GSI 2021
arxiv created 2021/02/28 · openalex publication_date 2021/02/28 · arxiv updated 2021/04/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Molecular structures of RNA molecules reconstructed from X-ray crystallography frequently contain errors. Motivated by this problem we examine clustering on a torus since RNA shapes can be described by dihedral angles. A previously developed clustering method for torus data involves two tuning parameters and we assess clustering results for different parameter values in relation to the problem of so-called RNA clashes. This clustering problem is part of the dynamically evolving field of statistics on manifolds. Statistical problems on the torus highlight general challenges for statistics on manifolds. Therefore, the torus PCA and clustering methods we propose make an important contribution to directional statistics and statistics on manifolds in general.