HVS

Author:

Lu Kejing1,Kudo Mineichi2,Xiao Chuan3,Ishikawa Yoshiharu1

Affiliation:

1. Nagoya University, Japan

2. Hokkaido University, Japan

3. Osaka University, Japan

Abstract

Approximate nearest neighbor search (ANNS) is a fundamental problem that has a wide range of applications in information retrieval and data mining. Among state-of-the-art in-memory ANNS methods, graph-based methods have attracted particular interest owing to their superior efficiency and query accuracy. Most of these methods focus on the selection of edges to shorten the search path, but do not pay much attention to the computational cost at each hop. To reduce the cost, we propose a novel graph structure called HVS. HVS has a hierarchical structure of multiple layers that corresponds to a series of subspace divisions in a coarse-to-fine manner. In addition, we utilize a virtual Voronoi diagram in each layer to accelerate the search. By traversing Voronoi cells, HVS can reach the nearest neighbors of a given query efficiently, resulting in a reduction in the total search cost. Experiments confirm that HVS is superior to other state-of-the-art graph-based methods.

Publisher

Association for Computing Machinery (ACM)

Subject

General Earth and Planetary Sciences,Water Science and Technology,Geography, Planning and Development

Reference37 articles.

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1. RoarGraph: A Projected Bipartite Graph for Efficient Cross-Modal Approximate Nearest Neighbor Search;Proceedings of the VLDB Endowment;2024-07

2. An Energy-Efficient In-Memory Accelerator for Graph Construction and Updating;IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems;2024-06

3. RaBitQ: Quantizing High-Dimensional Vectors with a Theoretical Error Bound for Approximate Nearest Neighbor Search;Proceedings of the ACM on Management of Data;2024-05-29

4. HJG: An Effective Hierarchical Joint Graph for ANNS in Multi-Metric Spaces;2024 IEEE 40th International Conference on Data Engineering (ICDE);2024-05-13

5. Efficient Reverse $k$ Approximate Nearest Neighbor Search Over High-Dimensional Vectors;2024 IEEE 40th International Conference on Data Engineering (ICDE);2024-05-13

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