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Approximate Nearest Neighbor Search (ANNS), as the core of vector databases (VectorDBs), has become widely used in modern AI and ML systems, powering applications from information retrieval to bio-informatics. While graph-based ANNS methods…

Machine Learning · Computer Science 2025-10-07 Dingyi Kang , Dongming Jiang , Hanshen Yang , Hang Liu , Bingzhe Li

Approximate Nearest Neighbor Search (ANNS) is a core primitive in modern AI systems, and graph-based methods currently offer the best accuracy-efficiency trade-off at scale. The workload is fundamentally memory-bound: graph traversal…

Hardware Architecture · Computer Science 2026-05-26 Sitian Chen , Yusen Li , Yao Chen , Minwen Deng , Jintao Meng , Amelie Chi Zhou

In the Any-Angle Pathfinding problem, the goal is to find the shortest path between a pair of vertices on a uniform square grid, that is not constrained to any fixed number of possible directions over the grid. Visibility Graphs are a known…

Computational Geometry · Computer Science 2017-02-07 Shunhao Oh , Hon Wai Leong

Graph Neural Architecture Search (GNAS) has achieved superior performance on various graph-structured tasks. However, existing GNAS studies overlook the applications of GNAS in resource-constraint scenarios. This paper proposes to design a…

Machine Learning · Computer Science 2024-06-25 Beini Xie , Heng Chang , Ziwei Zhang , Zeyang Zhang , Simin Wu , Xin Wang , Yuan Meng , Wenwu Zhu

In this paper, we propose a method, based on graph signal processing, to optimize the choice of $k$ in $k$-nearest neighbor graphs ($k$NNGs). $k$NN is one of the most popular approaches and is widely used in machine learning and signal…

Machine Learning · Computer Science 2024-01-17 Asuka Tamaru , Junya Hara , Hiroshi Higashi , Yuichi Tanaka , Antonio Ortega

Near neighbor search (NNS) is a powerful abstraction for data access; however, data indexing is troublesome even for approximate indexes. For intrinsically high-dimensional data, high-quality fast searches demand either indexes with…

Data Structures and Algorithms · Computer Science 2021-06-30 Eric S. Tellez , Guillermo Ruiz , Edgar Chavez , Mario Graff

Approximate K-Nearest Neighbor Search (AKNNS) has now become ubiquitous in modern applications, for example, as a fast search procedure with two tower deep learning models. Graph-based methods for AKNNS in particular have received great…

Machine Learning · Computer Science 2022-06-24 Patrick H. Chen , Chang Wei-cheng , Yu Hsiang-fu , Inderjit S. Dhillon , Hsieh Cho-jui

The approximate nearest neighbor (ANN) search problem is fundamental to efficiently serving many real-world machine learning applications. A number of techniques have been developed for ANN search that are efficient, accurate, and scalable.…

Machine Learning · Computer Science 2023-02-23 Philip Sun , Ruiqi Guo , Sanjiv Kumar

The traditional Triangular Maximally Filtered Graph (TMFG) construction requires pre-computation and storage of a dense correlation matrix; this limits its applicability to small and medium-sized datasets. Here we identify key memory and…

Machine Learning · Statistics 2026-03-11 Lionel Yelibi

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

There has been significant recent interest in graph-based nearest neighbor search methods, many of which are centered on the construction of navigable graphs over high-dimensional point sets. A graph is navigable if we can successfully move…

Data Structures and Algorithms · Computer Science 2025-03-18 Haya Diwan , Jinrui Gou , Cameron Musco , Christopher Musco , Torsten Suel

k-approximate nearest neighbor search (k-ANNS) in high-dimensional vector spaces is a fundamental problem across many fields. With the advent of vector databases and retrieval-augmented generation, k-ANNS has garnered increasing attention.…

Databases · Computer Science 2026-02-18 Wenyang Zhou , Jiadong Xie , Yingfan Liu , Zhihao Yin , Jeffrey Xu Yu , Hui Li , Zhangqian Mu , Xiaotian Qiao , Jiangtao Cui

Approximate k-Nearest Neighbour (ANN) methods are often used for mining information and aiding machine learning on large scale high-dimensional datasets. ANN methods typically differ in the index structure used for accelerating searches,…

Machine Learning · Computer Science 2025-02-04 Ben Harwood , Amir Dezfouli , Iadine Chades , Conrad Sanderson

Search engines and recommendation systems are built to efficiently display relevant information from those massive amounts of candidates. Typically a three-stage mechanism is employed in those systems: (i) a small collection of items are…

Information Retrieval · Computer Science 2022-11-09 Weijie Zhao , Shulong Tan , Ping Li

Similarity graphs are an active research direction for the nearest neighbor search (NNS) problem. New algorithms for similarity graph construction are continuously being proposed and analyzed by both theoreticians and practitioners.…

Machine Learning · Computer Science 2020-02-14 Dmitry Baranchuk , Artem Babenko

Nearest neighbor search (NNS) has a wide range of applications in information retrieval, computer vision, machine learning, databases, and other areas. Existing state-of-the-art algorithm for nearest neighbor search, Hierarchical Navigable…

Information Retrieval · Computer Science 2020-10-20 Ishita Doshi , Dhritiman Das , Ashish Bhutani , Rajeev Kumar , Rushi Bhatt , Niranjan Balasubramanian

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

Sampling-based motion-planning algorithms typically rely on nearest-neighbor (NN) queries when constructing a roadmap. Recent results suggest that in various settings NN queries may be the computational bottleneck of such algorithms.…

Robotics · Computer Science 2014-09-30 Michal Kleinbort , Oren Salzman , Dan Halperin

The Nearest Neighbor Search (NNS) problem asks to design a data structure that preprocesses an $n$-point dataset $X$ lying in a metric space $\mathcal{M}$, so that given a query point $q \in \mathcal{M}$, one can quickly return a point of…

Data Structures and Algorithms · Computer Science 2026-03-24 Robert Krauthgamer , Nir Petruschka

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