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Paper · arXiv

Equivariant Neural Primal-Dual Assignment for Maximum Common Edge Subgraphs

Maximum common edge subgraph (MCES) matching finds a partial vertex correspondence between two labeled graphs that preserves as many labeled edges as possible. Molecular similarity search requires matching many graph pairs, making the cost of repeated queries important. The strongest baseline attains accurate MCES solutions but trains a separate network for each pair. We introduce Equivariant Neural Primal-Dual Assignment (ENPDA), which learns a shared matching policy and applies it to new pairs without further training, answering queries roughly three orders of magnitude faster and recovering its training cost after a few dozen queries. The policy recomputes exact objective marginals for...

AuthorsJiaqing Xie, Yanchao Li, Zhuo Yang et al.
Primary categorycs.LG
Published26 September 2026
Last updated at source26 September 2026
cs.LG
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