Geometry-Aware Simplicial Message Passing

arXiv:2605.06061 · cs.LG, cs.CG, math.AT · Submitted 2026-05-07 · Read on arXiv

cs.LG, cs.CG, math.AT

Submitted: 2026-05-07

Updated: 2026-09-25

Terminology

• Embeddings — 22× in this paper · explained in 2 episodes
• Accuracy — 10× in this paper · explained in 1 episode
• GNNs — 6× in this paper · explained in 2 episodes
• Ablation — 4× in this paper · explained in 1 episode
• Aggregation — 4× in this paper · explained in 1 episode
• Point Clouds — 4× in this paper · explained in 2 episodes
• Benchmark — 2× in this paper · explained in 2 episodes
• Generalization — 2× in this paper · explained in 13 episodes
• Persistent Homology — 2× in this paper · explained in 3 episodes
• Adam — 1× in this paper · explained in 2 episodes
• Ambient Dimension — 1× in this paper · explained in 1 episode
• Combined with the Euler Characteristic Transform — 1× in this paper
• Geometric Simplicial Weisfeiler--Lehman — 1× in this paper
• Graph Neural Networks (GNNs) — 1× in this paper · explained in 7 episodes

Sources

• On the Stability of the Euler Characteristic Transform for a Perturbed Embedding
• Geometrically Equivariant Graph Neural Networks: A Survey

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