Query-Aware Flow Diffusion for Graph-Based RAG with Retrieval Guarantees

Fuente: arXiv
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Auteurs principaux: Zhou, Zhuoping, Tarzanagh, Davoud Ataee, Didari, Sima, Hu, Wenjun, Gutow, Baruch, Verkholyak, Oxana, Faraki, Masoud, Hao, Heng, Moon, Hankyu, Min, Seungjai
Format: Preprint
Publié: 2026
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author Zhou, Zhuoping
Tarzanagh, Davoud Ataee
Didari, Sima
Hu, Wenjun
Gutow, Baruch
Verkholyak, Oxana
Faraki, Masoud
Hao, Heng
Moon, Hankyu
Min, Seungjai
author_facet Zhou, Zhuoping
Tarzanagh, Davoud Ataee
Didari, Sima
Hu, Wenjun
Gutow, Baruch
Verkholyak, Oxana
Faraki, Masoud
Hao, Heng
Moon, Hankyu
Min, Seungjai
contents Graph-based Retrieval-Augmented Generation (RAG) systems leverage interconnected knowledge structures to capture complex relationships that flat retrieval struggles with, enabling multi-hop reasoning. Yet most existing graph-based methods suffer from (i) heuristic designs lacking theoretical guarantees for subgraph quality or relevance and/or (ii) the use of static exploration strategies that ignore the query's holistic meaning, retrieving neighborhoods or communities regardless of intent. We propose Query-Aware Flow Diffusion RAG (QAFD-RAG), a training-free framework that dynamically adapts graph traversal to each query's holistic semantics. The central innovation is query-aware traversal: during graph exploration, edges are dynamically weighted by how well their endpoints align with the query's embedding, guiding flow along semantically relevant paths while avoiding structurally connected but irrelevant regions. These query-specific reasoning subgraphs enable the first statistical guarantees for query-aware graph retrieval, showing that QAFD-RAG recovers relevant subgraphs with high probability under mild signal-to-noise conditions. The algorithm converges exponentially fast, with complexity scaling with the retrieved subgraph size rather than the full graph. Experiments on question answering and text-to-SQL tasks demonstrate consistent improvements over state-of-the-art graph-based RAG methods.
format Preprint
id arxiv_https___arxiv_org_abs_2605_18775
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Query-Aware Flow Diffusion for Graph-Based RAG with Retrieval Guarantees
Zhou, Zhuoping
Tarzanagh, Davoud Ataee
Didari, Sima
Hu, Wenjun
Gutow, Baruch
Verkholyak, Oxana
Faraki, Masoud
Hao, Heng
Moon, Hankyu
Min, Seungjai
Information Retrieval
Artificial Intelligence
68T50, 68T05, 68R10, 68Q25
H.3.3; I.2.7; I.2.6; G.2.2
Graph-based Retrieval-Augmented Generation (RAG) systems leverage interconnected knowledge structures to capture complex relationships that flat retrieval struggles with, enabling multi-hop reasoning. Yet most existing graph-based methods suffer from (i) heuristic designs lacking theoretical guarantees for subgraph quality or relevance and/or (ii) the use of static exploration strategies that ignore the query's holistic meaning, retrieving neighborhoods or communities regardless of intent. We propose Query-Aware Flow Diffusion RAG (QAFD-RAG), a training-free framework that dynamically adapts graph traversal to each query's holistic semantics. The central innovation is query-aware traversal: during graph exploration, edges are dynamically weighted by how well their endpoints align with the query's embedding, guiding flow along semantically relevant paths while avoiding structurally connected but irrelevant regions. These query-specific reasoning subgraphs enable the first statistical guarantees for query-aware graph retrieval, showing that QAFD-RAG recovers relevant subgraphs with high probability under mild signal-to-noise conditions. The algorithm converges exponentially fast, with complexity scaling with the retrieved subgraph size rather than the full graph. Experiments on question answering and text-to-SQL tasks demonstrate consistent improvements over state-of-the-art graph-based RAG methods.
title Query-Aware Flow Diffusion for Graph-Based RAG with Retrieval Guarantees
topic Information Retrieval
Artificial Intelligence
68T50, 68T05, 68R10, 68Q25
H.3.3; I.2.7; I.2.6; G.2.2
url https://arxiv.org/abs/2605.18775