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Fast-Convergent Proximity Graphs for Approximate Nearest Neighbor Search

Summary: Introduces alpha-convergent graphs for ANN, a proximity-graph index with a pruning rule that yields polylog-time exact NN when the true NN lies within fixed radius tau, otherwise ANN under bounded intrinsic dimensionality. Practical alpha-CNG localizes pruning for scalable build/search and outperforms prior PG indexes in distance evals and steps. (summarized by gpt-5-mini on Apr 11 2026)

Paper ID
hb4be2b853262b38f
Venue
SIGMOD
Year
2026
Pagerank
5.0156513e-05
Overall Rank
10,359 | 30.57%
DOI
10.1145/3786650
PDF
Download (CC BY 4.0)

Incoming Non-self Citations Over Time

Authors

BibTeX Citation

@inproceedings{li_sigmod26,
        title = {{Fast-Convergent Proximity Graphs for Approximate Nearest Neighbor Search}},
        author = {Li, Binhong and Yan, Xiao and Lu, Shangqi},
        series = {{SIGMOD} '26},
        booktitle = {Proceedings of the {ACM} {SIGMOD} International Conference on Management of Data},
        publisher = {Association for Computing Machinery},
        doi = {10.1145/3786650},
        url = {https://dl.acm.org/doi/10.1145/3786650},
        year = {2026}
}

Incoming Citations (Sorted by Pagerank)

Showing 1 of 1 citing papers.

Rank Citing Paper Year Venue Pagerank
11,098 Advances of Query Processing in Vector Databases 2026 VLDB 4.9605343e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 26 of 26 cited papers.

Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.

Rank Cited Paper Year Venue Pagerank
75 Fast Approximate Nearest Neighbor Search With The Navigating Spreading-out Graph 2019 VLDB 0.00037163157
282 The SR-tree: An Index Structure for High-Dimensional Nearest Neighbor Queries 1997 SIGMOD 0.00022250557
286 Query-Aware Locality-Sensitive Hashing for Approximate Nearest Neighbor Search 2016 VLDB 0.00022090962
325 AnalyticDB-V: A Hybrid Analytical Engine Towards Query Fusion for Structured and Unstructured Data 2020 VLDB 0.00020930941
335 A Comprehensive Survey and Experimental Comparison of Graph-Based Approximate Nearest Neighbor Search 2021 VLDB 0.0002067515
562 SRS: Solving c-Approximate Nearest Neighbor Queries in High Dimensional Euclidean Space with a Tiny Index 2015 VLDB 0.00016344855
802 RaBitQ: Quantizing High-Dimensional Vectors with a Theoretical Error Bound for Approximate Nearest Neighbor Search 2024 SIGMOD 0.00013822222
837 Improving Approximate Nearest Neighbor Search through Learned Adaptive Early Termination 2020 SIGMOD 0.00013530806
1,143 Beyond Uniformity and Independence : Analysis of R-trees Using the Concept of Fractal Dimension 1994 PODS 0.00011810737
1,165 Efficient Approximate Nearest Neighbor Search in Multi-dimensional Databases 2023 SIGMOD 0.00011708765
1,229 ACORN: Performant and Predicate-Agnostic Search Over Vector Embeddings and Structured Data 2024 SIGMOD 0.00011420277
1,318 VHP: Approximate Nearest Neighbor Search via Virtual Hypersphere Partitioning 2020 VLDB 0.00011035606
1,601 High-Dimensional Approximate Nearest Neighbor Search: with Reliable and Efficient Distance Comparison Operations 2023 SIGMOD 0.00010092977
1,610 Starling: An I/O-Efficient Disk-Resident Graph Index Framework for High-Dimensional Vector Similarity Search on Data Segment 2024 SIGMOD 0.00010066881
1,618 Towards Efficient Index Construction and Approximate Nearest Neighbor Search in High-Dimensional Spaces 2023 VLDB 0.00010045437
1,684 HVS: Hierarchical Graph Structure Based on Voronoi Diagrams for Solving Approximate Nearest Neighbor Search 2022 VLDB 9.8770749e-05
1,968 SeRF: Segment Graph for Range-Filtering Approximate Nearest Neighbor Search 2024 SIGMOD 9.2810141e-05
2,067 Similarity search in the blink of an eye with compressed indices 2023 VLDB 9.0707479e-05
2,728 iRangeGraph: Improvising Range-dedicated Graphs for Range-filtering Nearest Neighbor Search 2024 SIGMOD 8.0686023e-05
2,791 Navigating Labels and Vectors: A Unified Approach to Filtered Approximate Nearest Neighbor Search 2024 SIGMOD 7.9939669e-05
2,836 Practical and Asymptotically Optimal Quantization of High-Dimensional Vectors in Euclidean Space for Approximate Nearest Neighbor Search 2025 SIGMOD 7.9410774e-05
2,885 Graph-Based Vector Search: An Experimental Evaluation of the State-of-the-Art 2025 SIGMOD 7.8929868e-05
3,389 SymphonyQG: Towards Symphonious Integration of Quantization and Graph for Approximate Nearest Neighbor Search 2025 SIGMOD 7.329962e-05
3,876 RoarGraph: A Projected Bipartite Graph for Efficient Cross-Modal Approximate Nearest Neighbor Search 2024 VLDB 6.9349247e-05
4,077 Revisiting the Index Construction of Proximity Graph-Based Approximate Nearest Neighbor Search 2025 VLDB 6.8040917e-05
5,526 DET-LSH: A Locality-Sensitive Hashing Scheme with Dynamic Encoding Tree for Approximate Nearest Neighbor Search 2024 VLDB 6.0804398e-05
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