most citedFast Kd-trees for the Kullback--Leibler Divergence and other Decomposable Bregman Divergences

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math.AT2024

Computing Representatives of Persistent Homology Generators with a Double Twist

Tuyen Pham, Hubert Wagner

With the growing availability of efficient tools, persistent homology is becoming a useful methodology in a variety of applications. Significant work has been devoted to implementi…

math.AT2024

Mixup Barcodes: Quantifying Geometric-Topological Interactions between Point Clouds

Hubert Wagner, Nickolas Arustamyan, Matthew Wheeler +1

We combine standard persistent homology with image persistent homology to define a novel way of characterizing shapes and interactions between them. In particular, we introduce: (1…