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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

Many methods have been developed for data clustering, such as k-means, expectation maximization and algorithms based on graph theory. In this latter case, graphs are generally constructed by taking into account the Euclidian distance as a…

Data Analysis, Statistics and Probability · Physics 2011-01-27 Francisco A. Rodrigues , Guilherme Ferraz de Arruda , Luciano da Fontoura Costa

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

Approximate Nearest Neighbor Search (ANNS) is the task of finding the database vector that is closest to a given query vector. Graph-based ANNS is the family of methods with the best balance of accuracy and speed for million-scale datasets.…

Information Retrieval · Computer Science 2023-11-01 Naoki Ono , Yusuke Matsui

Motivated by an application from geodesy, we introduce a novel clustering problem which is a $k$-center (or k-diameter) problem with a side constraint. For the side constraint, we are given an undirected connectivity graph $G$ on the input…

Data Structures and Algorithms · Computer Science 2023-10-19 Lukas Drexler , Jan Eube , Kelin Luo , Dorian Reineccius , Heiko Röglin , Melanie Schmidt , Julian Wargalla

Given a reference set $R$ of $n$ points and a query set $Q$ of $m$ points in a metric space, this paper studies an important problem of finding $k$-nearest neighbors of every point $q \in Q$ in the set $R$ in a near-linear time. In the…

Computational Geometry · Computer Science 2024-03-05 Yury Elkin , Vitaliy Kurlin

Traditional route planning and k nearest neighbors queries only consider distance or travel time and ignore road safety altogether. However, many travellers prefer to avoid risky or unpleasant road conditions such as roads with high crime…

Databases · Computer Science 2022-04-28 Punam Biswas , Tanzima Hashem , Muhammad Aamir Cheema

We consider the evaluation of approximate top-k queries from relations with a-priori unknown values. Such relations can arise for example in the context of expensive predicates, or cloud-based data sources. The task is to find an…

Databases · Computer Science 2010-08-31 Antti Ukkonen

Community detection in networks is a key exploratory tool with applications in a diverse set of areas, ranging from finding communities in social and biological networks to identifying link farms in the World Wide Web. The problem of…

Machine Learning · Statistics 2017-09-05 Peter J. Bickel , Purnamrita Sarkar

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

Automatic detection of relevant groups of nodes in large real-world graphs, i.e. community detection, has applications in many fields and has received a lot of attention in the last twenty years. The most popular method designed to find…

Data Structures and Algorithms · Computer Science 2023-08-22 Alexis Baudin , Maximilien Danisch , Sergey Kirgizov , Clémence Magnien , Marwan Ghanem

Low modularity networks (Q < 0.2) challenge classical community detection algorithms, which get trapped in local optima. We introduce quantum inspired community detection algorithms leveraging non classical sampling techniques to escape…

Quantum Physics · Physics 2025-09-05 Joseph Geraci , Luca Pani

Graphs are fundamental data structures and have been employed for centuries to model real-world systems and phenomena. Random walk with restart (RWR) provides a good proximity score between two nodes in a graph, and it has been successfully…

Databases · Computer Science 2012-02-01 Yasuhiro Fujiwara , Makoto Nakatsuji , Makoto Onizuka , Masaru Kitsuregawa

We consider the densest $k$-subgraph problem, which seeks to identify the $k$-node subgraph of a given input graph with maximum number of edges. This problem is well-known to be NP-hard, by reduction to the maximum clique problem. We…

Optimization and Control · Mathematics 2019-04-09 Polina Bombina , Brendan Ames

In this article, we develop a clique-based method for social network clustering. We introduce a new index to evaluate the quality of clustering results, and propose an efficient algorithm based on recursive bipartition to maximize an…

Social and Information Networks · Computer Science 2018-05-11 Guang Ouyang , Dipak K. Dey , Panpan Zhang

The minimum-cost subset $k$-connected subgraph problem is a cornerstone problem in the area of network design with vertex connectivity requirements. In this problem, we are given a graph $G=(V,E)$ with costs on edges and a set of terminals…

Data Structures and Algorithms · Computer Science 2013-01-21 Bundit Laekhanukit

Community analysis algorithm proposed by Clauset, Newman, and Moore (CNM algorithm) finds community structure in social networks. Unfortunately, CNM algorithm does not scale well and its use is practically limited to networks whose sizes…

Computers and Society · Computer Science 2007-05-23 Ken Wakita , Toshiyuki Tsurumi

We present an empirical analysis of data structures for approximate nearest neighbor searching. We compare the well-known optimized kd-tree splitting method against two alternative splitting methods. The first, called the sliding-midpoint…

Computational Geometry · Computer Science 2007-05-23 Songrit Maneewongvatana , David M. Mount

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

Approximate nearest neighbor (ANN) search is a fundamental problem in many areas of data mining, machine learning and computer vision. The performance of traditional hierarchical structure (tree) based methods decreases as the…

Computer Vision and Pattern Recognition · Computer Science 2016-12-06 Cong Fu , Deng Cai