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cs.LG2026
Encoding the Euler Characteristic Transform
Nello Blaser, Odin Hoff Gardaa, Lars M. Salbu +2
The Euler Characteristic Curve (ECC) records the Euler characteristic of a linearly embedded cell complex as a function of filtration height in a given direction, and the Euler Cha…
cs.LG2026
Geometry-Aware Simplicial Message Passing
Elena Xinyi Wang, Bastian Rieck
The Weisfeiler--Lehman (WL) test and its simplicial extension (SWL) characterize the combinatorial expressivity of message passing networks, but they are blind to geometry, i.e., m…
cs.LG2026
Persistence-Augmented Neural Networks
Elena Xinyi Wang, Arnur Nigmetov, Dmitriy Morozov
Topological Data Analysis (TDA) provides tools to describe the shape of data, but integrating topological features into deep learning pipelines remains challenging, especially when…