8d ago
An Information Geometry approach to model topological trajectories and Gene Expression Radius from UMAP geometry.
Villalba · M. P. C. · Bustamante · F. E.
Abstract
Understanding the relationship between gene expression dynamics and cellular identity remains a central challenge in single cell biology. Here, we introduce a novel computational and mathematical framework that integrates information geometry, fuzzy topology, and UMAP analysis to model gene expression landscapes derived from single cell RNA sequencing data. We formalize gene expression data as a fuzzy topological space, where interactions between expression points are governed by probabilistic d
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