Publications (6)
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…
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 .…
Ribbon cobordisms as a partial order
Marius Huber
We show that the notion of ribbon rational homology cobordism yields a partial order on the set of aspherical -manifolds, thus supporting a conjecture formulated by Daemi, Lidma…
Ribbon cobordisms between lens spaces
Marius Huber
We determine when there exists a ribbon rational homology cobordism between two connected sums of lens spaces, i.e. one without -handles. In particular, we show that if a lens s…
Cubic Range Error Model for Stereo Vision with Illuminators
Marius Huber, Timo Hinzmann, Roland Siegwart +1
Use of low-cost depth sensors, such as a stereo camera setup with illuminators, is of particular interest for numerous applications ranging from robotics and transportation to mixe…
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…