3 papers
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
A Survey of Dimension Estimation Methods
James A. D. Binnie, Paweł Dłotko, John Harvey +2
It is a standard assumption that datasets in high dimension have an internal structure which means that they in fact lie on, or near, subsets of a lower dimension. In many instance…
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…