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The reverse $k$ nearest neighbor query finds all points that have the query point as one of their $k$ nearest neighbors, where the $k$NN query finds the $k$ closest points to its query point. Based on conics, we propose an efficent R$k$NN…

Databases · Computer Science 2023-09-01 Lixin Ye

A $k$-nearest neighbor ($k$NN) query determines the $k$ nearest points, using distance metrics, from a specific location. An all $k$-nearest neighbor (A$k$NN) query constitutes a variation of a $k$NN query and retrieves the $k$ nearest…

Databases · Computer Science 2014-02-28 Nikolaos Nodarakis , Spyros Sioutas , Dimitrios Tsoumakos , Giannis Tzimas , Evaggelia Pitoura

Reverse k nearest neighbor (RkNN) queries are fundamental in spatial databases, location-based analytics, and recommendation systems. Existing state-of-the-art techniques rely on spatial pruning supported by R-trees and their variants.…

Databases · Computer Science 2026-05-27 Zhengyang Bai , Peng Chen , Mohamed Wahib

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

"Reverse Nearest Neighbor" query finds applications in decision support systems, profile-based marketing, emergency services etc. In this paper, we point out a few flaws in the branch and bound algorithms proposed earlier for computing…

Data Structures and Algorithms · Computer Science 2015-06-17 Siddharth Dawar , Vikram Goyal , Debajyoti Bera

GPS enables mobile devices to continuously provide new opportunities to improve our daily lives. For example, the data collected in applications created by Uber or Public Transport Authorities can be used to plan transportation routes,…

Databases · Computer Science 2017-04-14 Sheng Wang , Zhifeng Bao , J. Shane Culpepper , Timos Sellis , Gao Cong

Top-k Nearest Neighbors (kNN) problem on road network has numerous applications on location-based services. As direct search using the Dijkstra's algorithm results in a large search space, a plethora of complex-index-based approaches have…

Databases · Computer Science 2024-08-13 Yiqi Wang , Long Yuan , Wenjie Zhang , Xuemin Lin , Zi Chen , Qing Liu

Quite recently, the algorithmic community has focused on solving multiple shortest-path query problems beyond simple vertex-to-vertex queries, especially in the context of road networks. Unfortunately, this research cannot be generalized…

Data Structures and Algorithms · Computer Science 2015-07-13 Alexandros Efentakis , Dieter Pfoser

We revisit the moving k nearest neighbor (MkNN) query, which computes one's k nearest neighbor set and maintains it while at move. Existing MkNN algorithms are mostly safe region based, which lack efficiency due to either computing small…

Databases · Computer Science 2021-01-13 Chuanwen Li , Yu Gu , Jianzhong Qi , Ge Yu , Rui Zhang , Qingxu Deng

The reverse k-nearest neighbor (RkNN) query is an established query type with various applications reaching from identifying highly influential objects over incrementally updating kNN graphs to optimizing sensor communication and outlier…

Databases · Computer Science 2020-11-04 Sandra Obermeier , Max Berrendorf , Peer Kröger

A k nearest neighbor (kNN) query on road networks retrieves the k closest points of interest (POIs) by their network distances from a given location. Today, in the era of ubiquitous mobile computing, this is a highly pertinent query. While…

Data Structures and Algorithms · Computer Science 2016-08-11 Tenindra Abeywickrama , Muhammad Aamir Cheema , David Taniar

The ability to timely process significant amounts of continuously updated spatial data is mandatory for an increasing number of applications. In this paper we focus on a specific data-intensive problem concerning the repeated processing of…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-22 Francesco Lettich , Salvatore Orlando , Claudio Silvestri

Though nearest neighbor Machine Translation ($k$NN-MT) \citep{khandelwal2020nearest} has proved to introduce significant performance boosts over standard neural MT systems, it is prohibitively slow since it uses the entire reference corpus…

Computation and Language · Computer Science 2022-11-23 Yuxian Meng , Xiaoya Li , Xiayu Zheng , Fei Wu , Xiaofei Sun , Tianwei Zhang , Jiwei Li

Fast k-Nearest Neighbor search over real-valued vector spaces (KNN) is an important algorithmic task for information retrieval and recommendation systems. We present a method for using reduced precision to represent vectors through…

Information Retrieval · Computer Science 2021-10-19 Anthony Ko , Iman Keivanloo , Vihan Lakshman , Eric Schkufza

The problem of identifying the k-Nearest Neighbors (kNNS) of a point has proven to be very useful both as a standalone application and as a subroutine in larger applications. Given its far-reaching applicability in areas such as machine…

Machine Learning · Computer Science 2023-05-31 Vani Nagarajan , Durga Mandarapu , Milind Kulkarni

k nearest neighbor join (kNN join), designed to find k nearest neighbors from a dataset S for every object in another dataset R, is a primitive operation widely adopted by many data mining applications. As a combination of the k nearest…

Databases · Computer Science 2015-03-20 Wei Lu , Yanyan Shen , Su Chen , Beng Chin Ooi

Customizable contraction hierarchies are one of the most popular route planning frameworks in practice, due to their simplicity and versatility. In this work, we present a novel algorithm for finding k-nearest neighbors in customizable…

Data Structures and Algorithms · Computer Science 2021-03-19 Valentin Buchhold , Dorothea Wagner

Motivated by applications in computer vision and databases, we introduce and study the Simultaneous Nearest Neighbor Search (SNN) problem. Given a set of data points, the goal of SNN is to design a data structure that, given a collection of…

Data Structures and Algorithms · Computer Science 2016-04-11 Piotr Indyk , Robert Kleinberg , Sepideh Mahabadi , Yang Yuan

Approximate $k$-nearest neighbor search (A$k$-NNS) is a core operation in vector databases, underpinning applications such as retrieval-augmented generation (RAG) and image retrieval. In these scenarios, users often prefer diverse result…

Databases · Computer Science 2025-11-03 Jiachen Zhao , Xiao Yan , Eric Lo

Sampling-based motion-planning algorithms typically rely on nearest-neighbor (NN) queries when constructing a roadmap. Recent results suggest that in various settings NN queries may be the computational bottleneck of such algorithms.…

Robotics · Computer Science 2014-09-30 Michal Kleinbort , Oren Salzman , Dan Halperin
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