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Graph-based algorithms have demonstrated state-of-the-art performance in the nearest neighbor search (NN-Search) problem. These empirical successes urge the need for theoretical results that guarantee the search quality and efficiency of…

Machine Learning · Computer Science 2023-03-14 Anshumali Shrivastava , Zhao Song , Zhaozhuo Xu

Approximate nearest neighbor search (ANNS) constitutes an important operation in a multitude of applications, including recommendation systems, information retrieval, and pattern recognition. In the past decade, graph-based ANNS algorithms…

Information Retrieval · Computer Science 2021-05-11 Mengzhao Wang , Xiaoliang Xu , Qiang Yue , Yuxiang Wang

Recently, graph based nearest neighbor search gets more and more popular on large-scale retrieval tasks. The attractiveness of this type of approaches lies in its superior performance over most of the known nearest neighbor search…

Information Retrieval · Computer Science 2019-06-19 Peng-Cheng Lin , Wan-Lei Zhao

Approximate nearest neighbor search (ANNS) in high-dimensional spaces is a pivotal challenge in the field of machine learning. In recent years, graph-based methods have emerged as the superior approach to ANNS, establishing a new state of…

Machine Learning · Computer Science 2024-07-11 Kejing Lu , Chuan Xiao , Yoshiharu Ishikawa

Nearest neighbor search is a fundamental data structure problem with many applications in machine learning, computer vision, recommendation systems and other fields. Although the main objective of the data structure is to quickly report…

Data Structures and Algorithms · Computer Science 2025-02-20 Piyush Anand , Piotr Indyk , Ravishankar Krishnaswamy , Sepideh Mahabadi , Vikas C. Raykar , Kirankumar Shiragur , Haike Xu

Nearest neighbor search plays a fundamental role in many disciplines such as multimedia information retrieval, data-mining, and machine learning. The graph-based search approaches show superior performance over other types of approaches in…

Information Retrieval · Computer Science 2022-04-05 Hui Wang , Yong Wang , Wan-Lei Zhao

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

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 has found numerous applications in machine learning, data mining and massive data processing systems. The past few years have witnessed the popularity of the graph-based nearest neighbor search paradigm because of…

Machine Learning · Computer Science 2020-12-22 Hongya Wang , Zhizheng Wang , Wei Wang , Yingyuan Xiao , Zeng Zhao , Kaixiang Yang

Approximate nearest neighbor search (ANNS) is a fundamental problem in databases and data mining. A scalable ANNS algorithm should be both memory-efficient and fast. Some early graph-based approaches have shown attractive theoretical…

Machine Learning · Computer Science 2025-07-08 Cong Fu , Chao Xiang , Changxu Wang , Deng Cai

For approximate nearest neighbor search, graph-based algorithms have shown to offer the best trade-off between accuracy and search time. We propose the Dynamic Exploration Graph (DEG) which significantly outperforms existing algorithms in…

Information Retrieval · Computer Science 2023-07-25 Nico Hezel , Kai Uwe Barthel , Konstantin Schall , Klaus Jung

Approximate Nearest Neighbor Search (ANNS) underpins many large-scale data mining and machine learning applications, with efficient retrieval increasingly hinging on GPU acceleration as dataset sizes grow. Although graph-based approaches…

Databases · Computer Science 2026-02-20 Yaowen Liu , Xuejia Chen , Anxin Tian , Haoyang Li , Qinbin Li , Xin Zhang , Alexander Zhou , Chen Jason Zhang , Qing Li , Lei Chen

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

Graph-based algorithms have shown great empirical potential for the approximate nearest neighbor (ANN) search problem. Currently, graph-based ANN search algorithms are designed mainly using heuristics, whereas theoretical analysis of such…

Information Retrieval · Computer Science 2021-07-29 Dantong Zhu , Minjia Zhang

Graph search is one of the most successful algorithmic trends in near neighbor search. Several of the most popular and empirically successful algorithms are, at their core, a simple walk along a pruned near neighbor graph. Such algorithms…

Data Structures and Algorithms · Computer Science 2021-04-08 Benjamin Coleman , Santiago Segarra , Anshumali Shrivastava , Alex Smola

Graph Neural Networks (GNNs) are a powerful representational tool for solving problems on graph-structured inputs. In almost all cases so far, however, they have been applied to directly recovering a final solution from raw inputs, without…

Machine Learning · Statistics 2020-01-16 Petar Veličković , Rex Ying , Matilde Padovano , Raia Hadsell , Charles Blundell

Nearest Neighbor Search (NNS) has recently drawn a rapid increase of interest due to its core role in managing high-dimensional vector data in data science and AI applications. The interest is fueled by the success of neural embedding,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-01 Zhen Peng , Minjia Zhang , Kai Li , Ruoming Jin , Bin Ren

Nearest neighbor search is central in machine learning, information retrieval, and databases. For high-dimensional datasets, graph-based methods such as HNSW, DiskANN, and NSG have become popular thanks to their empirical accuracy and…

Information Retrieval · Computer Science 2025-05-22 Yousef Al-Jazzazi , Haya Diwan , Jinrui Gou , Cameron Musco , Christopher Musco , Torsten Suel

Nearest neighbor search supports important applications in many domains, such as database, machine learning, computer vision. Since the computational cost for accurate search is too high, the community turned to the research of approximate…

Information Retrieval · Computer Science 2022-01-11 Xiaobin Fan , Xiaoping Wang , Kai Lu , Lei Xue , Jinjing Zhao

We take a first step towards a rigorous asymptotic analysis of graph-based approaches for finding (approximate) nearest neighbors in high-dimensional spaces, by analyzing the complexity of (randomized) greedy walks on the approximate near…

Data Structures and Algorithms · Computer Science 2019-10-04 Thijs Laarhoven
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