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HD-Index: Pushing the Scalability-Accuracy Boundary for Approximate kNN Search in High-Dimensional Spaces

Summary: HD-Index proposes RDB-trees built on Hilbert keys for scalable, approximate kNN in massive high-dimensional data. Leaves store distances to reference objects, enabling distance-filter pruning; by applying triangular and Ptolemaic inequalities, it tightens lower bounds for billion-scale, 1000+‑dimensional workloads. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID
h956067ef3934eccc
Venue
VLDB
Year
2018
Pagerank
0.00015149775
Overall Rank
650 | 95.64%
DOI
10.14778/3204028.3204034

Incoming Non-self Citations Over Time

Authors

BibTeX Citation

@article{arora_vldb18,
        title = {{HD-Index: Pushing the Scalability-Accuracy Boundary for Approximate kNN Search in High-Dimensional Spaces}},
        author = {Arora, Akhil and Sinha, Sakshi and Kumar, Piyush and Bhattacharya, Arnab},
        journal = {PVLDB},
        series = {{VLDB} '18},
        volume = {11},
        number = {8},
        pages = {906--919},
        doi = {10.14778/3204028.3204034},
        url = {https://doi.org/10.14778/3204028.3204034},
        year = {2018}
}

Incoming Citations (Sorted by Pagerank)

Showing 38 of 38 citing papers.

Rank Citing Paper Year Venue Pagerank
74 Fast Approximate Nearest Neighbor Search With The Navigating Spreading-out Graph 2019 VLDB 0.00037091678
345 A Comprehensive Survey and Experimental Comparison of Graph-Based Approximate Nearest Neighbor Search 2021 VLDB 0.00020445545
1,328 VHP: Approximate Nearest Neighbor Search via Virtual Hypersphere Partitioning 2020 VLDB 0.00011003106
1,897 iDEC: Indexable Distance Estimating Codes for Approximate Nearest Neighbor Search 2020 VLDB 9.4092345e-05
1,928 Detecting Logic Bugs of Join Optimizations in DBMS 2023 SIGMOD 9.3567082e-05
2,265 ELPIS: Graph-Based Similarity Search for Scalable Data Science 2023 VLDB 8.7238222e-05
2,448 DeltaPQ: Lossless Product Quantization Code Compression for High Dimensional Similarity Search 2020 VLDB 8.4494625e-05
2,730 Return of the Lernaean Hydra: Experimental Evaluation of Data Series Approximate Similarity Search 2020 VLDB 8.0861221e-05
2,871 Graph-Based Vector Search: An Experimental Evaluation of the State-of-the-Art 2025 SIGMOD 7.9229231e-05
4,346 UNIFY: Unified Index for Range Filtered Approximate Nearest Neighbors Search 2025 VLDB 6.6488514e-05
4,598 Steiner-Hardness: A Query Hardness Measure for Graph-Based ANN Indexes 2024 VLDB 6.5086378e-05
5,007 LANNS: A Web-Scale Approximate Nearest Neighbor Lookup System 2022 VLDB 6.3169238e-05
6,239 Efficient Data-aware Distance Comparison Operations for High-Dimensional Approximate Nearest Neighbor Search 2025 VLDB 5.8382662e-05
6,609 Dumpy: A Compact and Adaptive Index for Large Data Series Collections 2023 SIGMOD 5.7354155e-05
6,867 AquaPipe: A Quality-Aware Pipeline for Knowledge Retrieval and Large Language Models 2025 SIGMOD 5.6599424e-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
7,305 RWalks: Random Walks as Attribute Diffusers for Filtered Vector Search 2025 SIGMOD 5.5586007e-05
7,395 LiteHST: A Tree Embedding based Method for Similarity Search 2023 SIGMOD 5.5370691e-05
7,593 DEG: Efficient Hybrid Vector Search Using the Dynamic Edge Navigation Graph 2025 SIGMOD 5.4880197e-05
8,002 BigVectorBench: Heterogeneous Data Embedding and Compound Queries are Essential in Evaluating Vector Databases 2025 VLDB 5.4091781e-05
8,259 Attribute Filtering in Approximate Nearest Neighbor Search: An In-depth Experimental Study 2026 SIGMOD 5.3665309e-05
8,306 Wolverine: Highly Efficient Monotonic Search Path Repair for Graph-based ANN Index Updates 2025 VLDB 5.3583322e-05
8,370 MicroNN: An On-device Disk-resident Updatable Vector Database 2025 SIGMOD 5.34483e-05
8,998 ANN Softmax: Acceleration of Extreme Classification Training 2022 VLDB 5.2400492e-05
9,560 Distribution-Aware Exploration for Adaptive HNSW Search 2026 SIGMOD 5.1571823e-05
10,008 How to Design Robust Algorithms using Noisy Comparison Oracle 2021 VLDB 5.0979044e-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
10,574 High-Throughput, Cost-Effective Billion-Scale Vector Search with a Single GPU 2026 SIGMOD 4.9793485e-05
10,663 On Efficient Approximate Aggregate Nearest Neighbor Queries over Learned Representations 2026 SIGMOD 4.9793485e-05
10,726 I/O Optimizations for Graph-Based Disk-Resident Approximate Nearest Neighbor Search: A Design Space Exploration 2026 VLDB 4.9793485e-05
10,730 JHQ: Johnson-Lindenstrauss Enhanced Hierarchical Quantization for High-Dimensional Approximate Nearest Neighbor Search 2026 VLDB 4.9793485e-05
10,829 RNSG: A Range-Aware Graph Index for Efficient Range-Filtered Approximate Nearest Neighbor Search 2026 VLDB 4.9793485e-05
10,868 CONDA: A Connectivity-Aware Dynamic Index for Approximate Nearest Neighbor Search over Evolving Data 2026 VLDB 4.9793485e-05
10,874 BBC: Improving Large-k Approximate Nearest Neighbor Search with a Bucket-based Result Collector 2026 VLDB 4.9793485e-05
11,847 Scalable Time Series Compound Infrastructure 2022 SIGMOD 4.9793485e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 17 of 17 cited papers.

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

Rank Cited Paper Year Venue Pagerank
2 R-Trees: A Dynamic Index Structure For Spatial Searching 1984 SIGMOD 0.001992968
4 The R*-tree: An Efficient and Robust Access Method for Points and Rectangles 1990 SIGMOD 0.0011405675
45 A Quantitative Analysis and Performance Study for Similarity-Search Methods in High-Dimensional Spaces 1998 VLDB 0.0004503446
56 M-tree: An Efficient Access Method for Similarity Search in Metric Spaces 1997 VLDB 0.00040370171
90 The X-tree: An Index Structure for High-Dimensional Data 1996 VLDB 0.00034860244
279 The SR-tree: An Index Structure for High-Dimensional Nearest Neighbor Queries 1997 SIGMOD 0.00022308048
280 Multi-Probe LSH: Efficient Indexing for High-Dimensional Similarity Search 2007 VLDB 0.0002230467
298 Query-Aware Locality-Sensitive Hashing for Approximate Nearest Neighbor Search 2016 VLDB 0.00021833987
338 Locality-Sensitive Hashing Scheme Based on Dynamic Collision Counting 2012 SIGMOD 0.00020585187
562 SRS: Solving c-Approximate Nearest Neighbor Queries in High Dimensional Euclidean Space with a Tiny Index 2015 VLDB 0.00016335405
576 Quality and Efficiency in High Dimensional Nearest Neighbor Search 2009 SIGMOD 0.00016121388
674 Efficient Similarity Search and Classification via Rank Aggregation 2003 SIGMOD 0.00014886692
886 The Pyramid-Technique: Towards Breaking the Curse of Dimensionality 1998 SIGMOD 0.0001325914
927 SK-LSH: An Efficient Index Structure for Approximate Nearest Neighbor Search 2014 VLDB 0.00013025904
1,793 The A-tree: An Index Structure for High-Dimensional Spaces Using Relative Approximation 2000 VLDB 9.6235776e-05
3,016 Indexing the Distance: An Efficient Method to KNN Processing 2001 VLDB 7.7483267e-05
6,943 Indexing the Edges – A simple and yet efficient approach to high-dimensional indexing 2000 PODS 5.6380615e-05
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