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math.OC2025
A Benamou-Brenier Proximal Splitting Method for Constrained Unbalanced Optimal Transport
Mao Nishino, Martin Bauer, Tom Needham +1
The dynamic formulation of optimal transport, also known as the Benamou-Brenier formulation, has been extended to the unbalanced case by introducing a source term in the continuity…
stat.ME2025
A Persistent Homology Pipeline for the Analysis of Neural Spike Train Data
Cagatay Ayhan, Audrey N. Nash, Roberto Vincis +3
In this article, we introduce a Topological Data Analysis (TDA) pipeline for neural spike train data. Understanding how the brain transforms sensory information into perception and…
math.MG2025
Equivalence of Landscape and Erosion Distances for Persistence Diagrams
Cagatay Ayhan, Tom Needham
This paper establishes connections between three of the most prominent metrics used in the analysis of persistence diagrams in topological data analysis: the bottleneck distance, P…