AI RESEARCH

No Triangulation Without Representation: Generalization in Topological Deep Learning

arXiv CS.LG

ArXi:2605.06467v1 Announce Type: new Despite an ever-increasing interest in topological deep learning models that target higher-order datasets, there is no consensus on how to evaluate such models. This is exacerbated by the fact that topological objects permit operations, such as structural refinements, that are not appropriate for graph data. In this work, we extend MANTRA, a benchmark dataset containing manifold triangulations, to a larger class of manifolds with diverse homeomorphism types.