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The explosive growth in big data has attracted much attention in designing efficient indexing and search methods recently. In many critical applications such as large-scale search and pattern matching, finding the nearest neighbors to a…

Machine Learning · Computer Science 2015-09-21 Jun Wang , Wei Liu , Sanjiv Kumar , Shih-Fu Chang

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) 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

Approximate nearest neighbor search (ANNS) plays an indispensable role in a wide variety of applications, including recommendation systems, information retrieval, and semantic search. Among the cutting-edge ANNS algorithms, graph-based…

Hardware Architecture · Computer Science 2026-03-31 Weihong Xu , Junwei Chen , Po-Kai Hsu , Jaeyoung Kang , Minxuan Zhou , Sumukh Pinge , Shimeng Yu , Tajana Rosing

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

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

Graph-based approximate nearest neighbor search (ANNS) methods (e.g., HNSW) have become the de facto state of the art for their high precision and low latency. To scale beyond main memory, recent out-of-memory ANNS systems leverage SSDs to…

Databases · Computer Science 2026-02-27 Weichen Zhao , Yuncheng Lu , Yao Tian , Hao Zhang , Jiehui Li , Minghao Zhao , Yakun Li , Weining Qian

Graph Neural Networks (GNNs) have demonstrated impressive performance across diverse graph-based tasks by leveraging message passing to capture complex node relationships. However, on large-scale real-world graphs, GNNs face two major…

Machine Learning · Computer Science 2026-03-10 Xiang Li , Jianpeng Qi , Haobing Liu , Yuan Cao , Guoqing Chao , Zhongying Zhao , Junyu Dong , Xinwang Liu , Yanwei Yu

Finding the nearest subspace is a fundamental problem and influential to many applications. In particular, a scalable solution that is fast and accurate for a large problem has a great impact. The existing methods for the problem are,…

Computer Vision and Pattern Recognition · Computer Science 2016-03-30 Masakazu Iwamura , Masataka Konishi , Koichi Kise

Vector search underpins modern AI applications by supporting approximate nearest neighbor (ANN) queries over high-dimensional embeddings in tasks like retrieval-augmented generation (RAG), recommendation systems, and multimodal search.…

Databases · Computer Science 2026-05-19 Shurui Zhong , Dingheng Mo , Siqiang Luo

Sparse embeddings of data form an attractive class due to their inherent interpretability: Every dimension is tied to a term in some vocabulary, making it easy to visually decipher the latent space. Sparsity, however, poses unique…

Data Structures and Algorithms · Computer Science 2025-09-30 Sebastian Bruch , Franco Maria Nardini , Cosimo Rulli , Rossano Venturini

The k-nearest neighbors (kNN) algorithm is a cornerstone of non-parametric classification in artificial intelligence, yet its deployment in large-scale applications is persistently constrained by the computational trade-off between…

Machine Learning · Computer Science 2026-01-26 Jiaye Li , Gang Chen , Hang Xu , Shichao Zhang

Approximate Nearest Neighbor Search (ANNS) has recently gained significant attention due to its many applications, such as Retrieval-Augmented Generation. Such applications require ANNS algorithms that support dynamic data, so the ANNS…

Machine Learning · Computer Science 2025-12-09 Tomohiro Yamashita , Daichi Amagata , Yusuke Matsui

Graph Neural Networks (GNNs) are widely applied to graph learning problems such as node classification. When scaling up the underlying graphs of GNNs to a larger size, we are forced to either train on the complete graph and keep the full…

Machine Learning · Computer Science 2024-06-25 Mucong Ding , Tahseen Rabbani , Bang An , Evan Z Wang , Furong Huang

Graph-based ANNS algorithms have gained increasing research interest and market adoption due to their efficiency and accuracy in retrieval. Existing approaches primarily rely on CPUs for graph index construction and retrieval, but this…

Databases · Computer Science 2026-05-12 Lan Lu , Peiqi Yin , Isaac Yang , Tao Luo , Hua Fan , Wenchao Zhou , Feifei Li , Boon Thau Loo

Approximate Nearest Neighbor Search (ANNS) is a cornerstone algorithm for information retrieval, recommendation systems, and machine learning applications. While x86-based architectures have historically dominated this domain, the…

In this paper, we propose a scalable and highly efficient index structure for the reachability problem over graphs. We build on the well-known node interval labeling scheme where the set of vertices reachable from a particular node is…

Databases · Computer Science 2012-12-03 Stephan Seufert , Avishek Anand , Srikanta Bedathur , Gerhard Weikum

Large-scale Nearest Neighbor (NN) search, though widely utilized in the similarity search field, remains challenged by the computational limitations inherent in processing large scale data. In an effort to decrease the computational expense…

Machine Learning · Computer Science 2026-04-24 Ashley N. Abraham , Andrew Strelzoff , Haley R. Dozier , Althea C. Henslee , Mark A. Chappell

The neighbourhood function N(t) of a graph G gives, for each t, the number of pairs of nodes <x, y> such that y is reachable from x in less that t hops. The neighbourhood function provides a wealth of information about the graph (e.g., it…

Data Structures and Algorithms · Computer Science 2011-01-27 Paolo Boldi , Marco Rosa , Sebastiano Vigna

The Approximate Near Neighbor (ANN) problem is a cornerstone in high-dimensional data analysis, with applications ranging from information retrieval to data mining. Among the most successful paradigms for solving ANN in high-dimensional…

Data Structures and Algorithms · Computer Science 2026-04-28 Luca Becchetti , Andrea Clementi , Luciano Gualà , Emanuele Natale , Luca Pepè Sciarria , Alessandro Straziota