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Approximate $k$ nearest neighbor (AKNN) search in high-dimensional space is a foundational problem in vector databases with widespread applications. Among the numerous AKNN indexes, Proximity Graph-based indexes achieve state-of-the-art…

Databases · Computer Science 2026-02-20 Liuchang Jing , Mingyu Yang , Lei Li , Jianbin Qin , Wei Wang

Similarity search is a key to a variety of applications including content-based search for images and video, recommendation systems, data deduplication, natural language processing, computer vision, databases, computational biology, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-11 Vincent T. Lee , Amrita Mazumdar , Carlo C. del Mundo , Armin Alaghi , Luis Ceze , Mark Oskin

Approximate Nearest Neighbor Search (ANNS) is a crucial operation in databases and artificial intelligence. While graph-based ANNS methods like HNSW and NSG excel in performance, they assume uniform query distribution. However, in…

Databases · Computer Science 2026-01-13 Yifan Zhu , Ruijie Zhao , Zhonggen Li , Baihua Zheng , Zhikun Zhang , Zhaoqiang Chen , Congcong Ge

Fast approximate nearest neighbor (NN) search in large databases is becoming popular. Several powerful learning-based formulations have been proposed recently. However, not much attention has been paid to a more fundamental question: how…

Machine Learning · Computer Science 2012-07-03 Junfeng He , Sanjiv Kumar , Shih-Fu Chang

While the problem of approximate nearest neighbor search has been well-studied for Euclidean space and $\ell_1$, few non-trivial algorithms are known for $\ell_p$ when ($2 < p < \infty$). In this paper, we revisit this fundamental problem…

Computational Geometry · Computer Science 2015-12-08 Yair Bartal , Lee-Ad Gottlieb

Approximate nearest neighbor (ANN) search in high-dimensional metric spaces is a fundamental problem with many applications. Over the past decade, proximity graph (PG)-based indexes have demonstrated superior empirical performance over…

Data Structures and Algorithms · Computer Science 2026-02-05 Binhong Li , Xiao Yan , Shangqi Lu

We introduce a new variant of the nearest neighbor search problem, which allows for some coordinates of the dataset to be arbitrarily corrupted or unknown. Formally, given a dataset of $n$ points $P=\{ x_1,\ldots, x_n\}$ in high-dimensions,…

Computational Geometry · Computer Science 2015-11-24 Sariel Har-Peled , Sepideh Mahabadi

Nearest neighbor search is known as a challenging issue that has been studied for several decades. Recently, this issue becomes more and more imminent in viewing that the big data problem arises from various fields. In this paper, a…

Computer Vision and Pattern Recognition · Computer Science 2017-02-06 Wan-Lei Zhao , Jie Yang , Cheng-Hao Deng

Within machine learning, the subfield of Neural Architecture Search (NAS) has recently garnered research attention due to its ability to improve upon human-designed models. However, the computational requirements for finding an exact…

Machine Learning · Computer Science 2019-09-16 Adrian de Wynter

Nearest neighbor search and k-nearest neighbor graph construction are two fundamental issues arise from many disciplines such as multimedia information retrieval, data-mining and machine learning. They become more and more imminent given…

Information Retrieval · Computer Science 2020-09-18 Wan-Lei Zhao , Hui Wang , Chong-Wah Ngo

Nearest neighbor (NN) search is inherently computationally expensive in high-dimensional spaces due to the curse of dimensionality. As a well-known solution, locality-sensitive hashing (LSH) is able to answer c-approximate NN (c-ANN)…

Databases · Computer Science 2021-07-13 Bolong Zheng , Xi Zhao , Lianggui Weng , Nguyen Quoc Viet Hung , Hang Liu , Christian S. Jensen

Deep Neural Networks (DNNs) are very popular because of their high performance in various cognitive tasks in Machine Learning (ML). Recent advancements in DNNs have brought beyond human accuracy in many tasks, but at the cost of high…

Hardware Architecture · Computer Science 2022-03-18 Giorgos Armeniakos , Georgios Zervakis , Dimitrios Soudris , Jörg Henkel

We compare the performance of three nearest neighbor search algorithms: the Orchard, ball tree, and VP-tree algorithms. These algorithms are commonly used for nearest-neighbor searches and are known for their efficiency in large datasets.…

Data Structures and Algorithms · Computer Science 2023-07-12 Hanitriniala Malalatiana Rakotondrasoa , Martin Bucher , Ilya Sinayskiy

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

As data volumes grow while memory capacity remains limited, disk-resident graph-based approximate nearest neighbor (ANN) methods have become a practical alternative to memory-resident designs, shifting the bottleneck from computation to…

Databases · Computer Science 2026-03-03 Xiaoyu Chen , Jinxiu Qu , Yitong Song , Shuhang Lu , Huiling Li , Minghui Jiang , Wei Zhou , Jianliang Xu , Xuanhe Zhou , Fan Wu

Graph-based Approximate Nearest Neighbor Search (ANNS) is widely adopted in numerous applications, such as recommendation systems, natural language processing, and computer vision. While recent works on GPU-based acceleration have…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-24 Sukjin Kim , Seongyeon Park , Si Ung Noh , Junguk Hong , Taehee Kwon , Hunseong Lim , Jinho Lee

Indices for approximate nearest neighbor search (ANNS) are a basic component for information retrieval and widely used in database, search, recommendation and RAG systems. In these scenarios, documents or other objects are inserted into and…

Information Retrieval · Computer Science 2025-02-20 Haike Xu , Magdalen Dobson Manohar , Philip A. Bernstein , Badrish Chandramouli , Richard Wen , Harsha Vardhan Simhadri

Approximate nearest neighbor search under universal L_p metrics (ANNS-U-L_p) is an important and challenging research problem, as it requires answering queries under all possible p (0<p <= 2) values simultaneously without building an index…

Databases · Computer Science 2026-05-08 Huayi Wang , Jingfan Meng , Jun Xu

Approximate Nearest Neighbor Search (ANNS) plays a crucial role in many key areas. Proximity graphs (PGs) are the leading method for ANNS, offering the best balance between query efficiency and accuracy. However, their performance heavily…

Databases · Computer Science 2025-08-26 Hao Duan , Yitong Song , Bin Yao , Anqi Liang

We present a novel search optimization solution for approximate nearest neighbor (ANN) search on resource-constrained edge devices. Traditional ANN approaches fall short in meeting the specific demands of real-world scenarios, e.g., skewed…

Information Retrieval · Computer Science 2023-12-13 Jianwei Zhang , Helian Feng , Xin He , Grant P. Strimel , Farhad Ghassemi , Ali Kebarighotbi