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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

Model-based methods for recommender systems have been studied extensively for years. Modern recommender systems usually resort to 1) representation learning models which define user-item preference as the distance between their embedding…

Information Retrieval · Computer Science 2022-03-01 Rihan Chen , Bin Liu , Han Zhu , Yaoxuan Wang , Qi Li , Buting Ma , Qingbo Hua , Jun Jiang , Yunlong Xu , Hongbo Deng , Bo Zheng

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

The approximate nearest neighbor search (ANNS) is a fundamental and essential component in data mining and information retrieval, with graph-based methodologies demonstrating superior performance compared to alternative approaches.…

Information Retrieval · Computer Science 2024-07-16 Wentao Xiao , Yueyang Zhan , Rui Xi , Mengshu Hou , Jianming Liao

Approximate nearest-neighbor search (ANNS) algorithms have become increasingly critical for recent AI applications, particularly in retrieval-augmented generation (RAG) and agent-based LLM applications. In this paper, we present CRINN, a…

Machine Learning · Computer Science 2025-08-21 Xiaoya Li , Xiaofei Sun , Albert Wang , Chris Shum , Jiwei Li

Graph neural networks (GNNs) have emerged as a popular strategy for handling non-Euclidean data due to their state-of-the-art performance. However, most of the current GNN model designs mainly focus on task accuracy, lacking in considering…

Machine Learning · Computer Science 2023-04-14 Ao Zhou , Jianlei Yang , Yingjie Qi , Yumeng Shi , Tong Qiao , Weisheng Zhao , Chunming Hu

Fixed Radius Near Neighbor (FRNN) search is an alternative to the widely used k Nearest Neighbors (kNN) search. Unlike kNN, FRNN determines a label or an estimate for a test sample based on all training samples within a predefined distance.…

Machine Learning · Computer Science 2026-04-20 Khang Le , Joaquín Torres-Sospedra , Philipp Müller

We present a new approach for the approximate K-nearest neighbor search based on navigable small world graphs with controllable hierarchy (Hierarchical NSW, HNSW). The proposed solution is fully graph-based, without any need for additional…

Data Structures and Algorithms · Computer Science 2018-08-16 Yu. A. Malkov , D. A. Yashunin

We present a geometric framework for filtered approximate nearest neighbor (ANN) search. Filtering a proximity graph by a metadata predicate produces a subgraph, a fiber, whose connectivity and geometry can differ sharply from the full…

Databases · Computer Science 2026-04-02 Thuong Dang

We present a theoretical and empirical analysis of the adaptive entry point selection for graph-based approximate nearest neighbor search (ANNS). We introduce novel concepts: $b\textit{-monotonic path}$ and $B\textit{-MSNET}$, which better…

Information Retrieval · Computer Science 2024-02-08 Yutaro Oguri , Yusuke Matsui

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

Approximate nearest neighbor (ANN) search in high-dimensional spaces is a foundational component of many modern retrieval and recommendation systems. Currently, almost all algorithms follow an $\epsilon$-Recall-Bounded principle when…

Information Retrieval · Computer Science 2025-11-24 Liming Xiang , Jing Feng , Ziqi Yin , Zijian Li , Daihao Xue , Hongchao Qin , Ronghua Li , Guoren Wang

Range-filtered approximate nearest neighbor search (RFANNS) is increasingly critical for modern vector databases. However, existing solutions suffer from severe index inflation and construction overhead. Furthermore, they rely exclusively…

Databases · Computer Science 2026-04-28 Zhonggen Li , Haoran Yu , Zixuan Xu , Yifan Zhu , Yunjun Gao

Proximity graph-based methods have emerged as a leading paradigm for approximate nearest neighbor (ANN) search in the system community. This paper presents fresh insights into the theoretical foundation of these methods. We describe an…

Data Structures and Algorithms · Computer Science 2025-09-10 Shangqi Lu , Yufei Tao

High-dimensional approximate $K$ nearest neighbor search (AKNN) is a fundamental task for various applications, including information retrieval. Most existing algorithms for AKNN can be decomposed into two main components, i.e., candidate…

Databases · Computer Science 2024-12-03 Liwei Deng , Penghao Chen , Ximu Zeng , Tianfu Wang , Yan Zhao , Kai Zheng

Limited by the time complexity of querying k-hop neighbors in a graph database, most graph algorithms cannot be deployed online and execute millisecond-level inference. This problem dramatically limits the potential of applying graph…

Artificial Intelligence · Computer Science 2021-07-06 Xuhong Wang , Ding Lyu , Mengjian Li , Yang Xia , Qi Yang , Xinwen Wang , Xinguang Wang , Ping Cui , Yupu Yang , Bowen Sun , Zhenyu Guo

We present Graph Random Neural Features (GRNF), a novel embedding method from graph-structured data to real vectors based on a family of graph neural networks. The embedding naturally deals with graph isomorphism and preserves the metric…

Machine Learning · Computer Science 2020-06-03 Daniele Zambon , Cesare Alippi , Lorenzo Livi

Graph Neural Networks (GNNs) have been popularly used for analyzing non-Euclidean data such as social network data and biological data. Despite their success, the design of graph neural networks requires a lot of manual work and domain…

Machine Learning · Computer Science 2020-11-03 Yang Gao , Hong Yang , Peng Zhang , Chuan Zhou , Yue Hu

The recent improvements of graphics processing units (GPU) offer to the computer vision community a powerful processing platform. Indeed, a lot of highly-parallelizable computer vision problems can be significantly accelerated using GPU…

Computer Vision and Pattern Recognition · Computer Science 2008-04-10 Vincent Garcia , Eric Debreuve , Michel Barlaud

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
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