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HVS: Hierarchical Graph Structure Based on Voronoi Diagrams for Solving Approximate Nearest Neighbor Search

Summary: Proposes HVS, a hierarchical, multi-layer graph for approximate nearest neighbor search that partitions data into coarse-to-fine subspaces. Each layer uses a virtual Voronoi diagram to guide traversal, reducing per-hop cost and improving efficiency over existing graph-based ANNS. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID
h94e2d9757e5453c7
Venue
VLDB
Year
2022
Pagerank
9.8801753e-05
Overall Rank
1,684 | 88.68%
DOI
10.14778/3489496.3489506

Incoming Non-self Citations Over Time

Authors

BibTeX Citation

@article{lu_vldb22,
        title = {{HVS: Hierarchical Graph Structure Based on Voronoi Diagrams for Solving Approximate Nearest Neighbor Search}},
        author = {Lu, Kejing and Kudo, Mineichi and Xiao, Chuan and Ishikawa, Yoshiharu},
        journal = {PVLDB},
        series = {{VLDB} '22},
        volume = {15},
        number = {2},
        pages = {246--258},
        doi = {10.14778/3489496.3489506},
        url = {https://doi.org/10.14778/3489496.3489506},
        year = {2022}
}

Incoming Citations (Sorted by Pagerank)

Showing 33 of 33 citing papers.

Rank Citing Paper Year Venue Pagerank
804 RaBitQ: Quantizing High-Dimensional Vectors with a Theoretical Error Bound for Approximate Nearest Neighbor Search 2024 SIGMOD 0.00013832333
1,601 High-Dimensional Approximate Nearest Neighbor Search: with Reliable and Efficient Distance Comparison Operations 2023 SIGMOD 0.00010103316
1,613 Starling: An I/O-Efficient Disk-Resident Graph Index Framework for High-Dimensional Vector Similarity Search on Data Segment 2024 SIGMOD 0.00010072237
2,871 Graph-Based Vector Search: An Experimental Evaluation of the State-of-the-Art 2025 SIGMOD 7.9229231e-05
3,881 RoarGraph: A Projected Bipartite Graph for Efficient Cross-Modal Approximate Nearest Neighbor Search 2024 VLDB 6.9509289e-05
4,598 Steiner-Hardness: A Query Hardness Measure for Graph-Based ANN Indexes 2024 VLDB 6.5086378e-05
4,715 Maximum Inner Product is Query-Scaled Nearest Neighbor 2025 VLDB 6.4554594e-05
5,886 MIRAGE-ANNS: Mixed Approach Graph-based Indexing for Approximate Nearest Neighbor Search 2025 SIGMOD 5.9583046e-05
6,239 Efficient Data-aware Distance Comparison Operations for High-Dimensional Approximate Nearest Neighbor Search 2025 VLDB 5.8382662e-05
6,560 RetroInfer: A Vector Storage Engine for Scalable Long-Context LLM Inference 2026 VLDB 5.7482184e-05
6,867 AquaPipe: A Quality-Aware Pipeline for Knowledge Retrieval and Large Language Models 2025 SIGMOD 5.6599424e-05
6,895 Chameleon: a Heterogeneous and Disaggregated Accelerator System for Retrieval-Augmented Language Models 2025 VLDB 5.6536466e-05
6,919 GTI: Graph-based Tree Index with Logarithm Updates for Nearest Neighbor Search in High-Dimensional Spaces 2025 VLDB 5.644237e-05
7,004 Accelerating Graph Indexing for ANNS on Modern CPUs 2025 SIGMOD 5.6238624e-05
7,264 Subspace Collision: An Efficient and Accurate Framework for High-dimensional Approximate Nearest Neighbor Search 2025 SIGMOD 5.5703557e-05
7,587 Scalable Graph Indexing using GPUs for Approximate Nearest Neighbor Search 2026 SIGMOD 5.4891389e-05
7,700 VSAG: An Optimized Search Framework for Graph-based Approximate Nearest Neighbor Search 2025 VLDB 5.4750332e-05
9,551 Fast Graph Vector Search via Hardware Acceleration and Delayed-Synchronization Traversal 2025 VLDB 5.1591583e-05
9,674 MQH: Locality Sensitive Hashing on Multi-level Quantization Errors for Point-to-Hyperplane Distances 2023 VLDB 5.1441063e-05
10,078 Accelerating Approximate Nearest Neighbor Search in Hierarchical Graphs: Efficient Level Navigation with Shortcuts 2025 VLDB 5.0830849e-05
10,090 Select Edges Wisely: Monotonic Path Aware Graph Layout Optimization for Disk-based ANN Search 2025 VLDB 5.0807138e-05
10,121 DIDS: Double Indices and Double Summarizations for Fast Similarity Search 2024 VLDB 5.0771316e-05
10,323 Dynamically Detect and Fix Hardness for Efficient Approximate Nearest Neighbor Search 2026 SIGMOD 5.0346745e-05
10,324 TRIM: Accelerating High-Dimensional Vector Similarity Search with Enhanced Triangle-Inequality-Based Pruning 2026 SIGMOD 5.0346745e-05
10,326 Fast-Convergent Proximity Graphs for Approximate Nearest Neighbor Search 2026 SIGMOD 5.0346745e-05
10,511 Through the Lens of Hubness: A Revisit on Graph-Based Approximate Nearest Neighbor Search: [Experiments & Analysis] 2026 SIGMOD 4.9793485e-05
10,540 Accelerating High-Dimensional ANN Search via Skipping Redundant Distance Computations 2026 SIGMOD 4.9793485e-05
10,635 Efficient and Robust Out-Of-Distribution Vector Similarity Search with Cross-Distribution Monotonic Graph 2026 SIGMOD 4.9793485e-05
10,680 Reveal Hidden Pitfalls and Navigate Next Generation of Vector Similarity Search from Task-Centric Views: [Experiments & Analysis] 2026 SIGMOD 4.9793485e-05
10,709 Quantization Meets Projection: A Happy Marriage for Approximate k-Nearest Neighbor Search 2026 VLDB 4.9793485e-05
10,745 Balancing the Blend: An Experimental Analysis of Trade-offs in Hybrid Search 2026 VLDB 4.9793485e-05
10,815 CRAFT: Corpus Relatedness Analysis Using Fourier Transforms 2026 VLDB 4.9793485e-05
11,048 Elastic Index Selection for Label-Hybrid AKNN Search 2026 VLDB 4.9793485e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 6 of 6 cited papers.

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

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