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In [1], a clustering algorithm was given to find the centers of clusters quickly. However, the accuracy of this algorithm heavily depend on the threshold value of d-c. Furthermore, [1] has not provided any efficient way to select the…

机器学习 · 计算机科学 2015-01-21 Shuliang Wang , Dakui Wang , Caoyuan Li , Yan Li

We propose a new method for clustering based on the local minimization of the \gamma-divergence, which we call the spontaneous clustering. The greatest advantage of the proposed method is that it automatically detects the number of clusters…

统计方法学 · 统计学 2013-05-01 Akifumi Notsu , Osamu Komori , Shinto Eguchi

The R package pdfCluster performs cluster analysis based on a nonparametric estimate of the density of the observed variables. After summarizing the main aspects of the methodology, we describe the features and the usage of the package, and…

统计计算 · 统计学 2013-01-29 Adelchi Azzalini , Giovanna Menardi

This paper presents a neural network-based end-to-end clustering framework. We design a novel strategy to utilize the contrastive criteria for pushing data-forming clusters directly from raw data, in addition to learning a feature embedding…

机器学习 · 计算机科学 2016-04-27 Yen-Chang Hsu , Zsolt Kira

Cluster deletion is an NP-hard graph clustering objective with applications in computational biology and social network analysis, where the goal is to delete a minimum number of edges to partition a graph into cliques. We first provide a…

数据结构与算法 · 计算机科学 2024-04-26 Vicente Balmaseda , Ying Xu , Yixin Cao , Nate Veldt

We construct a cross-entropy clustering (CEC) theory which finds the optimal number of clusters by automatically removing groups which carry no information. Moreover, our theory gives simple and efficient criterion to verify cluster…

信息论 · 计算机科学 2014-05-19 Przemysław Spurek , Jacek Tabor

Clustering is a critical component of decision-making in todays data-driven environments. It has been widely used in a variety of fields such as bioinformatics, social network analysis, and image processing. However, clustering accuracy…

机器学习 · 计算机科学 2025-07-14 Krishnendu Das , Sumit Gupta , Awadhesh Kumar

This paper presents a novel geometrical approach to investigate the convexity of a density-based cluster. Our approach is grid-based and we are about to calibrate the value space of the cluster. However, the cluster objects are coming from…

计算几何 · 计算机科学 2020-09-25 Sayyed-Ahmad Naghavi-Nozad

Clustering is a fundamental unsupervised learning approach. Many clustering algorithms -- such as $k$-means -- rely on the euclidean distance as a similarity measure, which is often not the most relevant metric for high dimensional data…

机器学习 · 计算机科学 2019-10-22 Aude Genevay , Gabriel Dulac-Arnold , Jean-Philippe Vert

The vertex-random graphs called proximity catch digraphs (PCDs) have been introduced recently and have applications in pattern recognition and spatial pattern analysis. A PCD is a random directed graph (i.e., digraph) which is constructed…

概率论 · 数学 2014-05-29 Elvan Ceyhan

As one type of efficient unsupervised learning methods, clustering algorithms have been widely used in data mining and knowledge discovery with noticeable advantages. However, clustering algorithms based on density peak have limited…

机器学习 · 计算机科学 2019-11-26 Jianguo Chen , Philip S. Yu

We present LSD-C, a novel method to identify clusters in an unlabeled dataset. Our algorithm first establishes pairwise connections in the feature space between the samples of the minibatch based on a similarity metric. Then it regroups in…

计算机视觉与模式识别 · 计算机科学 2020-06-18 Sylvestre-Alvise Rebuffi , Sebastien Ehrhardt , Kai Han , Andrea Vedaldi , Andrew Zisserman

Clustering multidimensional points is a fundamental data mining task, with applications in many fields, such as astronomy, neuroscience, bioinformatics, and computer vision. The goal of clustering algorithms is to group similar objects…

分布式、并行与集群计算 · 计算机科学 2023-05-22 Yihao Huang , Shangdi Yu , Julian Shun

We focus on spectral clustering of unlabeled graphs and review some results on clustering methods which achieve weak or strong consistent identification in data generated by such models. We also present a new algorithm which appears to…

统计理论 · 数学 2015-08-11 Sharmodeep Bhattacharyya , Peter J. Bickel

Clustering is an unsupervised learning problem that aims to partition unlabelled data points into groups with similar features. Traditional clustering algorithms provide limited insight into the groups they find as their main focus is…

机器学习 · 计算机科学 2022-10-18 Connor Lawless , Oktay Gunluk

Most density-based clustering methods largely rely on how well the underlying density is estimated. However, density estimation itself is also a challenging problem, especially the determination of the kernel bandwidth. A large bandwidth…

机器学习 · 统计学 2015-12-08 Teng Qiu , Yongjie Li

This paper considers the problem of clustering a partially observed unweighted graph---i.e., one where for some node pairs we know there is an edge between them, for some others we know there is no edge, and for the remaining we do not know…

机器学习 · 计算机科学 2014-07-25 Yudong Chen , Ali Jalali , Sujay Sanghavi , Huan Xu

Clustering is one of the widely used techniques to find out patterns from a dataset that can be applied in different applications or analyses. K-means, the most popular and simple clustering algorithm, might get trapped into local minima if…

机器学习 · 计算机科学 2022-10-19 Zillur Rahman , Md. Sabir Hossain , Mohammad Hasan , Ahmed Imteaj

The article introduces a new method for applying Quantum Clustering to graph structures. Quantum Clustering (QC) is a novel density-based unsupervised learning method that determines cluster centers by constructing a potential function. In…

机器学习 · 计算机科学 2025-01-17 Zhe Wang , ZhiJie He , Ding Liu

Spectral clustering methodologies, when extended to accommodate signed graphs, have encountered notable limitations in effectively encapsulating inherent grouping relationships. Recent findings underscore a substantial deterioration in the…

社会与信息网络 · 计算机科学 2025-01-15 Muhieddine Shebaro , Lucas Rusnak , Martin Burtscher , Jelena Tešić