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Contextual Tokenization for Graph Inverted Indices
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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
- On COX2, CoRGII reaches MAP around 0.50 at k/C=0.5 while FourierHashNet saturates near 0.35.
- On PTC-FR, CoRGII attains MAP around 0.36 retrieving under 33% of the corpus, while most baselines need over 75%.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use co-occurrence multiprobing instead of Hamming multiprobing or single probing (ablation) | CoRGII token retrieval · PTC-FR, PTC-FM, COX2, PTC-MR | MAP versus retrieval selectivity | Helped |
| 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-MR | MAP | Helped |
| Increase the Hamming expansion radius r (ablation) | CoRGII with Hamming multiprobing · PTC-FR, PTC-FM | MAP | Hurt |
| Add learned impact weighting rather than uniform token aggregation (ablation) | CoRGII · PTC-FR, PTC-FM, COX2, PTC-MR | MAP versus retrieval selectivity | Helped |
| Use separate query and corpus MLPs instead of a shared Siamese MLP (ablation) | GTNet · PTC-FR, PTC-FM, COX2, PTC-MR | MAP versus retrieval selectivity | Helped |
| Use co-occurrence multiprobing with a Siamese GTNet instead of Hamming multiprobing (ablation) | Siamese GTNet · PTC-FR, PTC-FM | MAP | Hurt |
| Use Chamfer matching instead of injective soft-permutation alignment (ablation) | GTNet graph matching · Graph retrieval datasets | MAP | Helped |
| Remove learned impact weights from co-occurrence multiprobing (ablation) | CoRGII · COX2, PTC-MR | MAP | Hurt |
| Use uniform aggregation with Hamming multiprobing instead of learned impact weighting (ablation) | CoRGII · COX2 | MAP | Mixed |
| Use single probing instead of multiprobing (ablation) | CoRGII · PTC-FR, PTC-FM, COX2, PTC-MR | retrieval selectivity coverage | Hurt |
Surprising findings
- Single-vector baselines sometimes perform below the Random baseline.
Limitations
- Static token vocabulary fixed by binary code length D
- Only purely structural graphs; no node/edge attributes
- Assumes a static corpus with no support for updates
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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- A Systematic Exploration of Knowledge Graph Alignment with Large Language Models in Retrieval Augmented Generation (AAAI 2025 · similarity 0.85)
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- Simple is Effective: The Roles of Graphs and Large Language Models in Knowledge-Graph-Based Retrieval-Augmented Generation (ICLR 2025 · similarity 0.84)
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