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Contextual Tokenization for Graph Inverted Indices

NeurIPS 2025 · Graph learning › Graph self-supervised learning · approach: LLMs and graph foundation models

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Proposes CoRGII, which discretizes contextual graph node embeddings into binary tokens over a learned latent vocabulary so subgraph-containment retrieval can run on classic inverted indices, with learned token impact weights and co-occurrence multiprobing, reranked by IsoNet.

Problem

Retrieving corpus graphs that contain a subgraph isomorphic to a query graph is accurate with multi-vector alignment scores but requires exhaustively scoring every corpus graph, giving Omega(C) query time.

Approach

Use a graph tokenizer network (GNN plus separate query/corpus MLPs with sigmoid, then rounding to D-bit codes) trained with a Chamfer-distance ranking loss, so node tokens map to posting lists; add a trainable token impact MLP in place of TF-IDF/BM25 and co-occurrence-based token expansion for multi-probing.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use co-occurrence multiprobing instead of Hamming multiprobing or single probing (ablation)CoRGII token retrieval · PTC-FR, PTC-FM, COX2, PTC-MRMAP versus retrieval selectivityHelped
Increase the number of co-occurrence-expanded tokens; gains diminish and saturate beyond b=32 (ablation)CoRGII with co-occurrence multiprobing · PTC-FR, PTC-FM, COX2, PTC-MRMAPHelped
Increase the Hamming expansion radius r (ablation)CoRGII with Hamming multiprobing · PTC-FR, PTC-FMMAPHurt
Add learned impact weighting rather than uniform token aggregation (ablation)CoRGII · PTC-FR, PTC-FM, COX2, PTC-MRMAP versus retrieval selectivityHelped
Use separate query and corpus MLPs instead of a shared Siamese MLP (ablation)GTNet · PTC-FR, PTC-FM, COX2, PTC-MRMAP versus retrieval selectivityHelped
Use co-occurrence multiprobing with a Siamese GTNet instead of Hamming multiprobing (ablation)Siamese GTNet · PTC-FR, PTC-FMMAPHurt
Use Chamfer matching instead of injective soft-permutation alignment (ablation)GTNet graph matching · Graph retrieval datasetsMAPHelped
Remove learned impact weights from co-occurrence multiprobing (ablation)CoRGII · COX2, PTC-MRMAPHurt
Use uniform aggregation with Hamming multiprobing instead of learned impact weighting (ablation)CoRGII · COX2MAPMixed
Use single probing instead of multiprobing (ablation)CoRGII · PTC-FR, PTC-FM, COX2, PTC-MRretrieval selectivity coverageHurt

Surprising findings

Limitations

Experimental setup

Datasets: PTC-FR PTC-FM COX2 PTC-MR

Benchmarks: PTC-FR PTC-FM COX2 PTC-MR

Metrics: MAP k/C retrieval fraction

Baselines: FourierHashNet IVF (single-vector) IVF (multi-vector) DiskANN (single-vector) DiskANN (multi-vector) Random

Builds on: IsoNet ColBERT SPLADE FourierHashNet

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