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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

Vector quantization-based approaches are successful to solve Approximate Nearest Neighbor (ANN) problems which are critical to many applications. The idea is to generate effective encodings to allow fast distance approximation. We propose…

Computer Vision and Pattern Recognition · Computer Science 2015-09-18 Shicong Liu , Junru Shao , Hongtao Lu

Approximate nearest neighbour (ANN) search is an essential component of search engines, recommendation systems, etc. Many recent works focus on learning-based data-distribution-dependent hashing and achieve good retrieval performance.…

Information Retrieval · Computer Science 2023-04-07 Kim Yong Tan , Yueming Lyu , Yew Soon Ong , Ivor W. Tsang

Different spatial objects that vary in their characteristics, such as molecular biology and geography, are presented in spatial areas. Methods to organize, manage, and maintain those objects in a structured manner are required. Data mining…

Databases · Computer Science 2013-03-11 Dr. Mohammed Otair

Nearest neighbor (kNN) methods have been gaining popularity in recent years in light of advances in hardware and efficiency of algorithms. There is a plethora of methods to choose from today, each with their own advantages and…

Machine Learning · Computer Science 2017-03-01 Daniel Zoran , Balaji Lakshminarayanan , Charles Blundell

The popularity of Artificial intelligence and machine learning have prompted researchers to use it in the recent researches. The proposed method uses K-Nearest Neighbor (KNN) algorithm for segmentation of medical images, extracting of image…

Image and Video Processing · Electrical Eng. & Systems 2023-03-17 Ayesha Heena , Nagashettappa Biradar , Najmuddin M. Maroof , Surbhi Bhatia , Rashmi Agarwal , Kanta Prasad

Fast Nearest Neighbor (NN) search is a fundamental challenge in large-scale data processing and analytics, particularly for analyzing multimedia contents which are often of high dimensionality. Instead of using exact NN search, extensive…

Information Retrieval · Computer Science 2016-05-19 Ji Wan , Sheng Tang , Yongdong Zhang , Jintao Li , Pengcheng Wu , Steven C. H. Hoi

Our aim is to develop dynamic data structures that support $k$-nearest neighbors ($k$-NN) queries for a set of $n$ point sites in the plane in $O(f(n) + k)$ time, where $f(n)$ is some polylogarithmic function of $n$. The key component is a…

Computational Geometry · Computer Science 2022-12-02 Sarita de Berg , Frank Staals

Graph-based indexing is the dominant approach for approximate nearest neighbor search in vector databases, offering high recall with low latency across billions of vectors. However, in such indices, the edge set of the proximity graph is…

Databases · Computer Science 2026-03-03 Sami Abuzakuk , Anne-Marie Kermarrec , Rafael Pires , Mathis Randl , Martijn de Vos

There is a growing interest in automated neural architecture search (NAS) methods. They are employed to routinely deliver high-quality neural network architectures for various challenging data sets and reduce the designer's effort. The NAS…

Neural and Evolutionary Computing · Computer Science 2022-06-28 Michal Pinos , Vojtech Mrazek , Lukas Sekanina

Approximate Nearest Neighbor Search (ANNS) is essential for modern data-driven applications that require efficient retrieval of top-k results from massive vector databases. Although existing graph-based ANNS algorithms achieve a high recall…

Information Retrieval · Computer Science 2025-03-03 Yang Shi , Yiping Sun , Jiaolong Du , Xiaocheng Zhong , Zhiyong Wang , Yao Hu

Existing methods for retrieving k-nearest neighbours suffer from the curse of dimensionality. We argue this is caused in part by inherent deficiencies of space partitioning, which is the underlying strategy used by most existing methods. We…

Data Structures and Algorithms · Computer Science 2017-04-07 Ke Li , Jitendra Malik

The Reverse $k$-Nearest Neighbor (R$k$NN) query over moving objects on road networks seeks to find all moving objects that consider the specified query point as one of their $k$ nearest neighbors. In location based services, many users…

Databases · Computer Science 2025-12-30 Anbang Song , Ziqiang Yu , Wei Liu , Yating Xu , Mingjin Tao

Nearest-neighbor search dominates the asymptotic complexity of sampling-based motion planning algorithms and is often addressed with k-d tree data structures. While it is generally believed that the expected complexity of nearest-neighbor…

Computational Geometry · Computer Science 2017-09-25 Valerio Varricchio , Brian Paden , Dmitry Yershov , Emilio Frazzoli

Vector similarity search is an essential primitive in modern AI and ML applications. Most vector databases adopt graph-based approximate nearest neighbor (ANN) search algorithms, such as DiskANN (Subramanya et al., 2019), which have…

Data Structures and Algorithms · Computer Science 2026-02-10 Tian Zhang , Ashwin Padaki , Jiaming Liang , Zack Ives , Erik Waingarten

We propose a family of very efficient hierarchical indexing schemes for ungapped, score matrix-based similarity search in large datasets of short (4-12 amino acid) protein fragments. This type of similarity search has importance in both…

Data Structures and Algorithms · Computer Science 2007-09-04 Aleksandar Stojmirovic , Vladimir Pestov

We consider the fundamental problem of decomposing a large-scale approximate nearest neighbor search (ANNS) problem into smaller sub-problems. The goal is to partition the input points into neighborhood-preserving shards, so that the…

Data Structures and Algorithms · Computer Science 2024-03-05 Lars Gottesbüren , Laxman Dhulipala , Rajesh Jayaram , Jakub Lacki

The k Nearest Neighbor (kNN) query over moving objects on road networks is essential for location-based services. Recently, this problem has been studied under road networks with distance as the metric, overlooking fluctuating travel costs.…

Databases · Computer Science 2025-12-30 Mingjin Tao , Kailin Jiao , Yawen Li , Wei Liu , Ziqiang Yu

Nearest neighbor searching of large databases in high-dimensional spaces is inherently difficult due to the curse of dimensionality. A flavor of approximation is, therefore, necessary to practically solve the problem of nearest neighbor…

Databases · Computer Science 2018-04-24 Akhil Arora , Sakshi Sinha , Piyush Kumar , Arnab Bhattacharya

Relative Nearest Neighbor Descent (RNN-Descent) is a state-of-the-art algorithm for constructing sparse approximate nearest neighbor (ANN) graphs by combining the iterative refinement of NN-Descent with the edge-pruning rules of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-06 Xiang Li , Qiong Chang , Yun Li , Jun Miyazaki
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