New preprint on Circular Coordinates by Vincent

July 9, 2026

Vincent Grande has a new preprint on selecting interpretable circular coordinates from data on arxiv: Circular coordinates obtained from persistent cohomology reveal loop structure in data, but they usually remain abstract: A detected circle does not tell us which measured angle, phase, torsion, or decoder explains it. In the preprint, we propose a method for selecting interpretable circle-valued coordinates from a user-supplied dictionary of scientifically meaningful candidates explaining the detected cohomology.