1 citations · 1 across the 4 of their papers we have counts for
4 papers
Bregman-Hausdorff divergence: strengthening the connections between computational geometry and machine learning
Tuyen Pham, Hana Dal Poz Kouřimská, Hubert Wagner
The purpose of this paper is twofold. On a technical side, we propose an extension of the Hausdorff distance from metric spaces to spaces equipped with asymmetric distance measures…
Fast Kd-trees for the Kullback--Leibler Divergence and other Decomposable Bregman Divergences
Tuyen Pham, Hubert Wagner
The contributions of the paper span theoretical and implementational results. First, we prove that Kd-trees can be extended to spaces in which the distance is measured with an arbi…
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…
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…