3 papers
math.AT2026
Computing Connection Matrices of Conley Complexes via Algebraic Morse Theory
Ãlvaro Torras-Casas, Ka Man Yim, Ulrich Pennig
Given a poset-graded chain complex of vector spaces, a Conley complex is the minimal chain-homotopic reduction of the initial complex that respects the poset grading. A connection…
math.AT2026
The Chordal Distance Transform of Geometric Loops and its Persistent Homology
James A. D. Binnie, Otto Sumray, Ka Man Yim
We present an isometry and parametrisation invariant of embeddings of into Euclidean space. We do so by representing the distance between pairs of points on the embedded circ…
stat.ML2025
Power Spectrum Signatures of Graphs
Karamatou Yacoubou Djima, Ka Man Yim
Point signatures based on the Laplacian operators on graphs, point clouds, and manifolds have become popular tools in machine learning for graphs, clustering, and shape analysis. I…