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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

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 Neighbor-Joining algorithm is a recursive procedure for reconstructing trees that is based on a transformation of pairwise distances between leaves. We present a generalization of the neighbor-joining transformation, which uses…

Quantitative Methods · Quantitative Biology 2007-05-23 Dan Levy , Ruriko Yoshida , Lior Pachter

Computing $k$-Nearest Neighbors (KNN) is one of the core kernels used in many machine learning, data mining and scientific computing applications. Although kd-tree based $O(\log n)$ algorithms have been proposed for computing KNN, due to…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-17 Md. Mostofa Ali Patwary , Nadathur Rajagopalan Satish , Narayanan Sundaram , Jialin Liu , Peter Sadowski , Evan Racah , Suren Byna , Craig Tull , Wahid Bhimji , Prabhat , Pradeep Dubey

Center-based clustering is a fundamental primitive for data analysis and becomes very challenging for large datasets. In this paper, we focus on the popular $k$-center variant which, given a set $S$ of points from some metric space and a…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-02 Matteo Ceccarello , Andrea Pietracaprina , Geppino Pucci

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

Approximate K nearest neighbor (AKNN) search is a fundamental and challenging problem. We observe that in high-dimensional space, the time consumption of nearly all AKNN algorithms is dominated by that of the distance comparison operations…

Data Structures and Algorithms · Computer Science 2023-03-20 Jianyang Gao , Cheng Long

K-nearest neighbor classification algorithm is one of the most basic algorithms in machine learning, which determines the sample's category by the similarity between samples. In this paper, we propose a quantum K-nearest neighbor…

Quantum Physics · Physics 2023-04-03 Jing Li , Song Lin , Yu Kai , Gongde Guo

A significantly faster algorithm is presented for the original kNN mode seeking procedure. It has the advantages over the well-known mean shift algorithm that it is feasible in high-dimensional vector spaces and results in uniquely, well…

Machine Learning · Statistics 2017-12-21 Robert P. W. Duin , Sergey Verzakov

Learned dense representations are a popular family of techniques for encoding queries and documents using high-dimensional embeddings, which enable retrieval by performing approximate k nearest-neighbors search (A-kNN). A popular technique…

Information Retrieval · Computer Science 2024-08-12 Francesco Busolin , Claudio Lucchese , Franco Maria Nardini , Salvatore Orlando , Raffaele Perego , Salvatore Trani

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

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

Feature correspondence selection is pivotal to many feature-matching based tasks in computer vision. Searching for spatially k-nearest neighbors is a common strategy for extracting local information in many previous works. However, there is…

Computer Vision and Pattern Recognition · Computer Science 2019-04-02 Chen Zhao , Zhiguo Cao , Chi Li , Xin Li , Jiaqi Yang

This study proposes an efficient exact k-flexible aggregate nearest neighbor (k-FANN) search algorithm in road networks using the M-tree. The state-of-the-art IER-kNN algorithm used the R-tree and pruned off unnecessary nodes based on the…

Databases · Computer Science 2021-09-14 Moonyoung Chung , Soon J. Hyun , Woong-Kee Loh

Approximate $k$ nearest neighbor (AKNN) search in high-dimensional space is a foundational problem in vector databases with widespread applications. Among the numerous AKNN indexes, Proximity Graph-based indexes achieve state-of-the-art…

Databases · Computer Science 2026-02-20 Liuchang Jing , Mingyu Yang , Lei Li , Jianbin Qin , Wei Wang

Previous knowledge graph embedding approaches usually map entities to representations and utilize score functions to predict the target entities, yet they typically struggle to reason rare or emerging unseen entities. In this paper, we…

Computation and Language · Computer Science 2023-08-01 Peng Wang , Xin Xie , Xiaohan Wang , Ningyu Zhang

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

The kernel $k$-means is an effective method for data clustering which extends the commonly-used $k$-means algorithm to work on a similarity matrix over complex data structures. The kernel $k$-means algorithm is however computationally very…

Machine Learning · Computer Science 2014-01-30 Ahmed Elgohary , Ahmed K. Farahat , Mohamed S. Kamel , Fakhri Karray

k Nearest Neighbor (kNN) method is a simple and popular statistical method for classification and regression. For both classification and regression problems, existing works have shown that, if the distribution of the feature vector has…

Statistics Theory · Mathematics 2019-10-24 Puning Zhao , Lifeng Lai

In this paper we present an extension of existing Nearest-Neighbor heuristics to an algorithm called k-Repetitive-Nearest-Neighbor. The idea is to start with a tour of k nodes and then perform a Nearest-Neighbor search from there on. After…

Artificial Intelligence · Computer Science 2018-10-19 Nikolas Klug , Alok Chauhan , Ramesh Ragala , V Vijayakumar