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math.MG2023
Probability Metrics for Tropical Spaces of Different Dimensions
Roan Talbut, Daniele Tramontano, Yueqi Cao +2
The problem of comparing probability distributions is at the heart of many tasks in statistics and machine learning. Established comparison methods treat the standard setting that…
math.MG2022
A Geometric Condition for Uniqueness of Fréchet Means of Persistence Diagrams
Yueqi Cao, Anthea Monod
The Fréchet mean is an important statistical summary and measure of centrality of data; it has been defined and studied for persistent homology captured by persistence diagrams. Ho…