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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) is a fundamental problem in vector databases and AI infrastructures. Recent graph-based ANNS algorithms have achieved high search accuracy with practical efficiency. Despite the advancements, these…

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

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

Vector databases typically rely on approximate nearest neighbor (ANN) search to retrieve the top-k closest vectors to a query in embedding space. While effective, this approach often yields semantically redundant results, missing the…

Machine Learning · Computer Science 2025-07-29 Rahul Raja , Arpita Vats

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

Despite filtered nearest neighbor search being a fundamental task in modern vector search systems, the performance of existing algorithms is highly sensitive to query selectivity and filter type. In particular, existing solutions excel…

Information Retrieval · Computer Science 2026-02-12 Haike Xu , Guy Blelloch , Laxman Dhulipala , Lars Gottesbüren , Rajesh Jayaram , Jakub Łącki

In this paper, we propose a new data structure for approximate nearest neighbor search. This structure augments the neighborhood graph with a bridge graph. We propose to exploit Cartesian concatenation to produce a large set of vectors,…

Computer Vision and Pattern Recognition · Computer Science 2013-12-12 Jingdong Wang , Jing Wang , Gang Zeng , Rui Gan , Shipeng Li , Baining Guo

As the state-of-the-art methods for high-dimensional data retrieval, Approximate Nearest Neighbor Search (ANNS) approaches with graph-based indexes have attracted increasing attention and play a crucial role in many real-world applications,…

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

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

Proximity graphs (PG) have gained increasing popularity as the state-of-the-art solutions to $k$-approximate nearest neighbor ($k$-ANN) search on high-dimensional data, which serves as a fundamental function in various fields, e.g.,…

Databases · Computer Science 2025-02-18 Shuo Yang , Jiadong Xie , Yingfan Liu , Jeffrey Xu Yu , Xiyue Gao , Qianru Wang , Yanguo Peng , Jiangtao Cui

Approximate nearest neighbor (ANN) search in high dimensions is an integral part of several computer vision systems and gains importance in deep learning with explicit memory representations. Since PQT, FAISS, and SONG started to leverage…

Computer Vision and Pattern Recognition · Computer Science 2022-04-08 Fabian Groh , Lukas Ruppert , Patrick Wieschollek , Hendrik P. A. Lensch

Approximate nearest neighbor (ANN) search is a fundamental problem in many areas of data mining, machine learning and computer vision. The performance of traditional hierarchical structure (tree) based methods decreases as the…

Computer Vision and Pattern Recognition · Computer Science 2016-12-06 Cong Fu , Deng Cai

Semantic search in retrieval-augmented generation (RAG) systems is often insufficient for complex information needs, particularly when relevant evidence is scattered across multiple sources. Prior approaches to this problem include agentic…

Machine Learning · Computer Science 2026-03-27 Ruizhong Miao , Yuying Wang , Rongguang Wang , Chenyang Li , Tao Sheng , Sujith Ravi , Dan Roth

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

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

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

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

Approximate nearest neighbor search (ANNS) is a key retrieval technique for vector database and many data center applications, such as person re-identification and recommendation systems. It is also fundamental to retrieval augmented…

Hardware Architecture · Computer Science 2024-05-30 Yitu Wang , Shiyu Li , Qilin Zheng , Linghao Song , Zongwang Li , Andrew Chang , Hai "Helen" Li , Yiran Chen
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