289 citations · 628 across the 35 of their papers we have counts for
3 papers · 1 filter
A Stable Multi-Scale Kernel for Topological Machine Learning
Jan Reininghaus, Stefan Huber, Ulrich Bauer +1
Topological data analysis offers a rich source of valuable information to study vision problems. Yet, so far we lack a theoretically sound connection to popular kernel-based learni…
Strong Equivalence of the Interleaving and Functional Distortion Metrics for Reeb Graphs
Ulrich Bauer, Elizabeth Munch, Yusu Wang
The Reeb graph is a construction that studies a topological space through the lens of a real valued function. It has widely been used in applications, however its use on real data…
Persistence Barcodes versus Kolmogorov Signatures: Detecting Modes of One-Dimensional Signals
Ulrich Bauer, Axel Munk, Hannes Sieling +1
We investigate the problem of estimating the number of modes (i.e., local maxima) - a well known question in statistical inference - and we show how to do so without presmoothing t…