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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
12925
Venue
VLDB
Year
2022
Pagerank
9.7284341e-05
Overall Rank
1,802 | 87.64%
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 32 of 32 citing papers.

Rank Citing Paper Year Venue Pagerank
1,357 RaBitQ: Quantizing High-Dimensional Vectors with a Theoretical Error Bound for Approximate Nearest Neighbor Search 2024 SIGMOD 0.00011043994
1,735 High-Dimensional Approximate Nearest Neighbor Search: with Reliable and Efficient Distance Comparison Operations 2023 SIGMOD 9.9004924e-05
1,760 Starling: An I/O-Efficient Disk-Resident Graph Index Framework for High-Dimensional Vector Similarity Search on Data Segment 2024 SIGMOD 9.8157819e-05
3,240 Graph-Based Vector Search: An Experimental Evaluation of the State-of-the-Art 2025 SIGMOD 7.6071649e-05
4,116 RoarGraph: A Projected Bipartite Graph for Efficient Cross-Modal Approximate Nearest Neighbor Search 2024 VLDB 6.892012e-05
6,133 Efficient Data-aware Distance Comparison Operations for High-Dimensional Approximate Nearest Neighbor Search 2025 VLDB 5.9654376e-05
6,148 Steiner-Hardness: A Query Hardness Measure for Graph-Based ANN Indexes 2024 VLDB 5.9593368e-05
6,334 MIRAGE-ANNS: Mixed Approach Graph-based Indexing for Approximate Nearest Neighbor Search 2025 SIGMOD 5.9093559e-05
6,432 RetroInfer: A Vector Storage Engine for Scalable Long-Context LLM Inference 2026 VLDB 5.8801533e-05
6,765 AquaPipe: A Quality-Aware Pipeline for Knowledge Retrieval and Large Language Models 2025 SIGMOD 5.7808599e-05
6,851 Maximum Inner Product is Query-Scaled Nearest Neighbor 2025 VLDB 5.7546877e-05
6,995 Chameleon: a Heterogeneous and Disaggregated Accelerator System for Retrieval-Augmented Language Models 2025 VLDB 5.7301567e-05
7,124 GTI: Graph-based Tree Index with Logarithm Updates for Nearest Neighbor Search in High-Dimensional Spaces 2025 VLDB 5.6961208e-05
7,145 Subspace Collision: An Efficient and Accurate Framework for High-dimensional Approximate Nearest Neighbor Search 2025 SIGMOD 5.6908957e-05
7,166 Accelerating Graph Indexing for ANNS on Modern CPUs 2025 SIGMOD 5.6846045e-05
8,205 VSAG: An Optimized Search Framework for Graph-based Approximate Nearest Neighbor Search 2025 VLDB 5.4666548e-05
9,493 MQH: Locality Sensitive Hashing on Multi-level Quantization Errors for Point-to-Hyperplane Distances 2023 VLDB 5.2621754e-05
9,776 Fast Graph Vector Search via Hardware Acceleration and Delayed-Synchronization Traversal 2025 VLDB 5.2209769e-05
9,892 Accelerating Approximate Nearest Neighbor Search in Hierarchical Graphs: Efficient Level Navigation with Shortcuts 2025 VLDB 5.1997534e-05
9,919 Select Edges Wisely: Monotonic Path Aware Graph Layout Optimization for Disk-based ANN Search 2025 VLDB 5.1955087e-05
9,964 DIDS: Double Indices and Double Summarizations for Fast Similarity Search 2024 VLDB 5.18753e-05
10,299 Through the Lens of Hubness: A Revisit on Graph-Based Approximate Nearest Neighbor Search: [Experiments & Analysis] 2026 SIGMOD 5.093636e-05
10,336 Accelerating High-Dimensional ANN Search via Skipping Redundant Distance Computations 2026 SIGMOD 5.093636e-05
10,362 Dynamically Detect and Fix Hardness for Efficient Approximate Nearest Neighbor Search 2026 SIGMOD 5.093636e-05
10,400 Scalable Graph Indexing using GPUs for Approximate Nearest Neighbor Search 2026 SIGMOD 5.093636e-05
10,412 TRIM: Accelerating High-Dimensional Vector Similarity Search with Enhanced Triangle-Inequality-Based Pruning 2026 SIGMOD 5.093636e-05
10,447 Efficient and Robust Out-Of-Distribution Vector Similarity Search with Cross-Distribution Monotonic Graph 2026 SIGMOD 5.093636e-05
10,454 Fast-Convergent Proximity Graphs for Approximate Nearest Neighbor Search 2026 SIGMOD 5.093636e-05
10,493 Reveal Hidden Pitfalls and Navigate Next Generation of Vector Similarity Search from Task-Centric Views: [Experiments & Analysis] 2026 SIGMOD 5.093636e-05
10,525 Quantization Meets Projection: A Happy Marriage for Approximate k-Nearest Neighbor Search 2026 VLDB 5.093636e-05
10,563 Balancing the Blend: An Experimental Analysis of Trade-offs in Hybrid Search 2026 VLDB 5.093636e-05
10,601 Elastic Index Selection for Label-Hybrid AKNN Search 2026 VLDB 5.093636e-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.

Rank Cited Paper Year Venue Pagerank
93 Fast Approximate Nearest Neighbor Search With The Navigating Spreading-out Graph 2019 VLDB 0.00034701237
580 SRS: Solving c-Approximate Nearest Neighbor Queries in High Dimensional Euclidean Space with a Tiny Index 2015 VLDB 0.00016157635
926 Improving Approximate Nearest Neighbor Search through Learned Adaptive Early Termination 2020 SIGMOD 0.00013181732
1,430 VHP: Approximate Nearest Neighbor Search via Virtual Hypersphere Partitioning 2020 VLDB 0.0001080902
2,734 Return of the Lernaean Hydra: Experimental Evaluation of Data Series Approximate Similarity Search 2020 VLDB 8.190416e-05
3,279 Locality-Sensitive Hashing Scheme based on Longest Circular Co-Substring 2020 SIGMOD 7.5711218e-05
Previous Page 1 / 1 Next

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