5 papers
Exploring Dowker Homology for Sentence Similarity
Marius Huber, Juri Opitz
Dowker homology is a topological tool that may be used to analyze the relative position of two point clouds living in a common space. We investigate whether Dowker homology capture…
Fixation Sequences as Time Series: A Topological Approach to Dyslexia Detection
Marius Huber, David R. Reich, Lena A. Jäger
Persistent homology, a method from topological data analysis, extracts robust, multi-scale features from data. It produces stable representations of time series by applying varying…
Sign-resolved nanoscale readout and control of hidden antiferromagnetic spin order
A. Schmid, D. Siebenkotten, D. Dai +16
Antiferromagnetic memories promise ultrafast, stray-field-free information storage. Yet perfect magnetic compensation conceals the information carrier itself: the sign of the Néel…
Flagifying the Dowker Complex
Marius Huber, Patrick Schnider
The Dowker complex is a simplicial complex capturing the topological interplay between two finite sets and under some relation .…
AuToMATo: An Out-Of-The-Box Persistence-Based Clustering Algorithm
Marius Huber, Sara Kalisnik, Patrick Schnider
We present AuToMATo, a novel clustering algorithm based on persistent homology. While AuToMATo is not parameter-free per se, we provide default choices for its parameters that make…