13 papers
Topology of a Smile: Persistent Homology in Dental Imaging
Leon Dahlmeier, Sara Kališnik, Albert Mehl +1
CBCT (Cone Beam Computed Tomography) scans provide detailed three-dimensional images, widely used in dentistry for diagnostic and treatment planning tasks. While invaluable, analyz…
Comparing Chatbot Performance Enhanced with Persistent Homology
Nithisha Raghavaraju, Barbara Giunti, Bastian Rieck
Chatbots have become increasingly prevalent across various domains, offering automated assistance in many areas, especially mental health support. The training is done using extrem…
LEAP: Local ECT-Based Learnable Positional Encodings for Graphs
Juan Amboage, Ernst Röell, Patrick Schnider +1
Graph neural networks (GNNs) largely rely on the message-passing paradigm, where nodes iteratively aggregate information from their neighbors. Yet, standard message passing neural…
Persistent Homology via Ellipsoids
Niklas Canova, Sara Kališnik, Aaron Moser +2
Persistent homology is one of the most popular methods in topological data analysis. An initial step in its use involves constructing a nested sequence of simplicial complexes. The…
Point Cloud Synthesis Using Inner Product Transforms
Ernst Röell, Bastian Rieck
Point cloud synthesis, i.e. the generation of novel point clouds from an input distribution, remains a challenging task, for which numerous complex machine learning models have bee…
Molecular Machine Learning Using Euler Characteristic Transforms
Victor Toscano-Duran, Florian Rottach, Bastian Rieck
The shape of a molecule determines its physicochemical and biological properties. However, it is often underrepresented in standard molecular representation learning approaches. He…