3 papers
stat.ML2025
A Survey of Dimension Estimation Methods
James A. D. Binnie, PaweÅ DÅotko, 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…
math.AT2025
Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings
Ka Man Yim
A central objective of topological data analysis is to identify topologically significant features in data represented as a finite point cloud. We consider the setting where the am…
math.DS2024
Dynamical Systems On Generalised Klein Bottles
Peter Grindrod, Ka Man Yim
We propose a high dimensional generalisation of the standard Klein bottle, going beyond those considered previously. We address the problem of generating continuous scalar fields (…