Martin Uray — accepted AI-conference papers

2025

The Flood Complex: Large-Scale Persistent Homology on Millions of Points

Florian Graf, Paolo Pellizzoni, Martin Uray, Stefan Huber, Roland Kwitt

NeurIPS 2025poster

We consider the problem of computing persistent homology (PH) for large-scale Euclidean point cloud data, aimed at downstream machine learning tasks, where the exponential growth of the most widely-used Vietoris-Rips complex imposes serious computational limitations. Although more scalable alternati…

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2024

Neural Persistence Dynamics

Sebastian Zeng, Florian Graf, Martin Uray, Stefan Huber, Roland Kwitt

NeurIPS 2024poster

We consider the problem of learning the dynamics in the topology of time-evolving point clouds, the prevalent spatiotemporal model for systems exhibiting collective behavior, such as swarms of insects and birds or particles in physics. In such systems, patterns emerge from (local) interactions among…

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