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Nearest Neighbor Search (NNS) is a central task in knowledge representation, learning, and reasoning. There is vast literature on efficient algorithms for constructing data structures and performing exact and approximate NNS. This paper…

Machine Learning · Statistics 2021-03-10 Blake Mason , Ardhendu Tripathy , Robert Nowak

In the era of cloud computing and AI, data owners outsource ubiquitous vectors to the cloud, which furnish approximate $k$-nearest neighbors ($k$-ANNS) services to users. To protect data privacy against the untrusted server,…

Databases · Computer Science 2025-08-15 Yingfan Liu , Yandi Zhang , Jiadong Xie , Hui Li , Jeffrey Xu Yu , Jiangtao Cui

Approximate nearest neighbor (ANN) search in high-dimensional Euclidean space has a broad range of applications. Among existing ANN algorithms, graph-based methods have shown superior performance in terms of the time-accuracy trade-off.…

Databases · Computer Science 2024-11-20 Yutong Gou , Jianyang Gao , Yuexuan Xu , Cheng Long

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

A recent series of papers by Andoni, Naor, Nikolov, Razenshteyn, and Waingarten (STOC 2018, FOCS 2018) has given approximate near neighbour search (NNS) data structures for a wide class of distance metrics, including all norms. In…

Data Structures and Algorithms · Computer Science 2021-05-12 Deepanshu Kush , Aleksandar Nikolov , Haohua Tang

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

The generation and collection of big data series are becoming an integral part of many emerging applications in sciences, IoT, finance, and web applications among several others. The terabyte-scale of data series has motivated recent…

Databases · Computer Science 2024-04-16 Liang Zhang , Mohamed Y. Eltabakh , Elke A. Rundensteiner , Khalid Alnuaim

A growing interest has been witnessed recently from both academia and industry in building nearest neighbor search (NNS) solutions on top of full-text search engines. Compared with other NNS systems, such solutions are capable of…

Information Retrieval · Computer Science 2019-07-30 Cun Mu , Jun Zhao , Guang Yang , Binwei Yang , Zheng Yan

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

The problem of landmark recognition has achieved excellent results in small-scale datasets. When dealing with large-scale retrieval, issues that were irrelevant with small amount of data, quickly become fundamental for an efficient…

Computer Vision and Pattern Recognition · Computer Science 2018-06-18 Federico Magliani , Tomaso Fontanini , Andrea Prati

Similarity search is a fundamental algorithmic primitive, widely used in many computer science disciplines. There are several variants of the similarity search problem, and one of the most relevant is the $r$-near neighbor ($r$-NN) problem:…

Data Structures and Algorithms · Computer Science 2020-06-16 Martin Aumüller , Rasmus Pagh , Francesco Silvestri

Sparse Subspace Clustering (SSC) has been used extensively for subspace identification tasks due to its theoretical guarantees and relative ease of implementation. However SSC has quadratic computation and memory requirements with respect…

Computer Vision and Pattern Recognition · Computer Science 2017-04-14 Stephen Tierney , Yi Guo , Junbin Gao

This paper describes ANN-Benchmarks, a tool for evaluating the performance of in-memory approximate nearest neighbor algorithms. It provides a standard interface for measuring the performance and quality achieved by nearest neighbor…

Information Retrieval · Computer Science 2018-07-19 Martin Aumüller , Erik Bernhardsson , Alexander Faithfull

Modern deep learning models capture the semantics of complex data by transforming them into high-dimensional embedding vectors. Emerging applications, such as retrieval-augmented generation, use approximate nearest neighbor (ANN) search in…

Databases · Computer Science 2025-10-01 Guoyu Hu , Shaofeng Cai , Tien Tuan Anh Dinh , Zhongle Xie , Cong Yue , Gang Chen , Beng Chin Ooi

Dense retrieval, which describes the use of contextualised language models such as BERT to identify documents from a collection by leveraging approximate nearest neighbour (ANN) techniques, has been increasing in popularity. Two families of…

Information Retrieval · Computer Science 2021-08-27 Craig Macdonald , Nicola Tonellotto

Approximate Nearest Neighbor Search (ANNS) is a fundamental problem in many areas of machine learning and data mining. During the past decade, numerous hashing algorithms are proposed to solve this problem. Every proposed algorithm claims…

Computer Vision and Pattern Recognition · Computer Science 2019-06-20 Deng Cai

Graph embedding methods including traditional shallow models and deep Graph Neural Networks (GNNs) have led to promising applications in recommendation. Nevertheless, shallow models especially random-walk-based algorithms fail to adequately…

Information Retrieval · Computer Science 2022-08-04 Jiayi Zheng , Ling Yang , Heyuan Wang , Cheng Yang , Yinghong Li , Xiaowei Hu , Shenda Hong

Approximate Nearest Neighbor Search (ANNS) is essential for various data-intensive applications, including recommendation systems, image retrieval, and machine learning. Scaling ANNS to handle billions of high-dimensional vectors on a…

Databases · Computer Science 2025-06-18 Qian Xu , Feng Zhang , Chengxi Li , Lei Cao , Zheng Chen , Jidong Zhai , Xiaoyong Du

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

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
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