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Much recent work has been devoted to approximate nearest neighbor queries. Motivated by applications in recommender systems, we consider approximate furthest neighbor (AFN) queries and present a simple, fast, and highly practical data…

Data Structures and Algorithms · Computer Science 2016-11-23 Rasmus Pagh , Francesco Silvestri , Johan Sivertsen , Matthew Skala

Given a vector dataset $\mathcal{X}$ and a query vector $\vec{x}_q$, graph-based Approximate Nearest Neighbor Search (ANNS) aims to build a graph index $G$ and approximately return vectors with minimum distances to $\vec{x}_q$ by searching…

Information Retrieval · Computer Science 2023-12-01 Jiongkang Ni , Xiaoliang Xu , Yuxiang Wang , Can Li , Jiajie Yao , Shihai Xiao , Xuecang Zhang

To increase the computational efficiency of interest-point based object retrieval, researchers have put remarkable research efforts into improving the efficiency of kNN-based feature matching, pursuing to match thousands of features against…

Computer Vision and Pattern Recognition · Computer Science 2015-08-19 Johannes Niedermayer , Peer Kröger

This paper studies density-based clustering of point sets. These methods use dense regions of points to detect clusters of arbitrary shapes. In particular, we study variants of density peaks clustering, a popular type of algorithm that has…

Data Structures and Algorithms · Computer Science 2025-06-04 Shangdi Yu , Joshua Engels , Yihao Huang , Julian Shun

Approximate nearest neighbor search (ANNS) in high-dimensional vector spaces has a wide range of real-world applications. Numerous methods have been proposed to handle ANNS efficiently, while graph-based indexes have gained prominence due…

Databases · Computer Science 2025-08-14 Zhonggen Li , Xiangyu Ke , Yifan Zhu , Bocheng Yu , Baihua Zheng , Yunjun Gao

Web-scale search systems learn an encoder to embed a given query which is then hooked into an approximate nearest neighbor search (ANNS) pipeline to retrieve similar data points. To accurately capture tail queries and data points, learned…

Machine Learning · Computer Science 2023-10-20 Aniket Rege , Aditya Kusupati , Sharan Ranjit S , Alan Fan , Qingqing Cao , Sham Kakade , Prateek Jain , Ali Farhadi

Top-k Nearest Neighbors (kNN) problem on road network has numerous applications on location-based services. As direct search using the Dijkstra's algorithm results in a large search space, a plethora of complex-index-based approaches have…

Databases · Computer Science 2024-08-13 Yiqi Wang , Long Yuan , Wenjie Zhang , Xuemin Lin , Zi Chen , Qing Liu

Approximate Nearest Neighbor Search (ANNS) underpins modern applications such as information retrieval and recommendation. With the rapid growth of vector data, efficient indexing for real-time vector search has become rudimentary. Existing…

Databases · Computer Science 2026-01-14 Yuchen Peng , Dingyu Yang , Zhongle Xie , Ji Sun , Lidan Shou , Ke Chen , Gang Chen

Approximate nearest neighbor (ANN) search is a key component in many modern machine learning pipelines; recent use cases include retrieval-augmented generation (RAG) and vector databases. Clustering-based ANN algorithms, that use score…

Machine Learning · Computer Science 2024-10-25 Elias Jääsaari , Ville Hyvönen , Teemu Roos

Approximate Nearest Neighbor Search with arbitrary filtering predicates (AFANNS) is essential for modern data applications, yet existing methods often incur substantial storage and computational costs. In this work, we introduce the Maximal…

Databases · Computer Science 2026-04-27 Xiaowei Ye , Rong-Hua Li , Guoren Wang , Kaiwen Xue , Daiyin Wang , Xubin Li

Approximate Nearest Neighbor Search (ANNS) on high-dimensional vectors has become a fundamental and essential component in various machine learning tasks. Recently, with the rapid development of deep learning models and the applications of…

Databases · Computer Science 2025-02-21 Zeyu Wang , Haoran Xiong , Qitong Wang , Zhenying He , Peng Wang , Themis Palpanas , Wei Wang

The fastest indexes for Approximate Nearest Neighbor Search today are also the slowest to build: graph-based methods like HNSW and Vamana achieve state-of-the-art query performance but have large construction times due to relying on…

Databases · Computer Science 2026-05-26 Tobias Rubel , Richard Wen , Laxman Dhulipala , Lars Gottesbüren , Rajesh Jayaram , Jakub Łącki

Locality Sensitive Filters are known for offering a quasi-linear space data structure with rigorous guarantees for the Approximate Near Neighbor search (ANN) problem. Building on Locality Sensitive Filters, we derive a simple data structure…

Data Structures and Algorithms · Computer Science 2025-05-05 Martin Aumüller , Fabrizio Boninsegna , Francesco Silvestri

Hybrid Approximate Nearest Neighbor Search (Hybrid ANNS) is a foundational search technology for large-scale heterogeneous data and has gained significant attention in both academia and industry. However, current approaches overlook the…

Information Retrieval · Computer Science 2026-04-03 Qianyun Yang , Zhiwei Chen , Yupeng Hu , Zixu Li , Zhiheng Fu , Liqiang Nie

Graph-based approaches to approximate nearest neighbor search (ANNS) enable fast, high-recall retrieval on billion-scale vector datasets. Among them, the Sparse Neighborhood Graph (SNG) is widely used due to its strong search performance.…

Data Structures and Algorithms · Computer Science 2026-05-06 Xinran Ma , Zhaoqi Zhou , Chuan Zhou , Zaijiu Shang , Guoliang Li , Zhiming Ma

Approximate K Nearest Neighbor (AKNN) algorithms play a pivotal role in various AI applications, including information retrieval, computer vision, and natural language processing. Although numerous AKNN algorithms and benchmarks have been…

Databases · Computer Science 2024-07-01 Xianzhi Zeng , Zhuoyan Wu , Xinjing Hu , Xuanhua Shi , Shixuan Sun , Shuhao Zhang

In this paper, we present an experimental comparison of various graph-based approximate nearest neighbor (ANN) search algorithms deployed on edge devices for real-time nearest neighbor search applications, such as smart city infrastructure…

Data Structures and Algorithms · Computer Science 2024-11-22 Ali Ganbarov , Jicheng Yuan , Anh Le-Tuan , Manfred Hauswirth , Danh Le-Phuoc

Meeting real-time constraints for high-performance Approximate Nearest Neighbor (ANN) search remains a critical challenge in remote sensing edge devices, which are essentially fusion systems like micro-satellites and UAVs, largely due to…

Computational Geometry · Computer Science 2025-11-24 Xianwei Lv , Debin Tang , Zhecheng Shi , Wang Wang , Yujiao Zheng , Xiatian Zhu

Approximate Nearest Neighbor (ANN) search has become fundamental to modern AI infrastructure, powering recommendation systems, search engines, and large language models across industry leaders from Google to OpenAI. Hierarchical Navigable…

Information Retrieval · Computer Science 2026-02-26 Ganap Ashit Tewary , Nrusinga Charan Gantayat , Jeff Zhang

Range-filtered approximate nearest neighbor (RFANN) search is a fundamental operation in modern data systems. Given a set of objects, each with a vector and a numerical attribute, an RFANN query retrieves the nearest neighbors to a query…

Databases · Computer Science 2026-05-05 Zhiqiu Zou , Ziqi Yin , Rong-Hua Li , Hongchao Qin , Qiangqiang Dai , Guoren Wang
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