34 citations · 49 across the 5 of their papers we have counts for
10 papers
GPU-Accelerated Computation of Persistent Homology for Topological Analysis of Image Data
Fan Wang, Hubert Wagner, Rezaul Chowdhury +1
In recent years, persistent homology has seen rapid adoption in deep learning, yet its computation remains a major bottleneck in network training. This paper introduces TopoGPU, a…
GPU Computation of the Euler Characteristic Curve for Imaging Data
Fan Wang, Hubert Wagner, Chao Chen
Persistent homology is perhaps the most popular and useful tool offered by topological data analysis, with point-cloud data being the most common setup. Its older cousin, the Euler…
Topological Detection of Trojaned Neural Networks
Songzhu Zheng, Yikai Zhang, Hubert Wagner +2
Deep neural networks are known to have security issues. One particular threat is the Trojan attack. It occurs when the attackers stealthily manipulate the model's behavior through…
Topological Data Analysis in Information Space
Herbert Edelsbrunner, Ziga Virk, Hubert Wagner
Various kinds of data are routinely represented as discrete probability distributions. Examples include text documents summarized by histograms of word occurrences and images repre…
Unexpected Topology of the Temperature Fluctuations in the Cosmic Microwave Background
Pratyush Pranav, Robert J. Adler, Thomas Buchert +5
We study the topology generated by the temperature fluctuations of the Cosmic Microwave Background (CMB) radiation, as quantified by the number of components and holes, formally gi…
Streaming Algorithm for Euler Characteristic Curves of Multidimensional Images
Teresa Heiss, Hubert Wagner
We present an efficient algorithm to compute Euler characteristic curves of gray scale images of arbitrary dimension. In various applications the Euler characteristic curve is used…