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The use of correntropy as a similarity measure has been increasing in different scenarios due to the well-known ability to extract high-order statistic information from data. Recently, a new similarity measure between complex random…

信息论 · 计算机科学 2017-10-03 João Guimarães

Biclustering algorithms play a central role in the biotechnological and biomedical domains. The knowledge extracted supports the extraction of putative regulatory modules, essential to understanding diseases, aiding therapy research, and…

数据库 · 计算机科学 2022-12-13 Leonardo Alexandre , Rafael S. Costa , Rui Henriques

Cluster analysis which focuses on the grouping and categorization of similar elements is widely used in various fields of research. Inspired by the phenomenon of atomic fission, a novel density-based clustering algorithm is proposed in this…

机器学习 · 计算机科学 2020-04-28 Shizhan Lu

It has been shown that the communities of complex networks often overlap with each other. However, there is no effective method to quantify the overlapping community structure. In this paper, we propose a metric to address this problem.…

物理与社会 · 物理学 2009-07-28 Hua-Wei Shen , Xue-Qi Cheng , Jia-Feng Guo

In computer vision, the estimation of the fundamental matrix is a basic problem that has been extensively studied. The accuracy of the estimation imposes a significant influence on subsequent tasks such as the camera trajectory…

计算机视觉与模式识别 · 计算机科学 2015-04-15 Hao Wu , Yi Wan

The ability to quantify distinctness of a cluster structure is fundamental for certain simulation studies, in particular for those comparing performance of different classification algorithms. The intrinsic integral measure based on the…

统计理论 · 数学 2014-07-29 Ewa Nowakowska , Jacek Koronacki , Stan Lipovetsky

Cluster analysis is one of the essential tasks in data mining and knowledge discovery. Each type of data poses unique challenges in achieving relatively efficient partitioning of the data into homogeneous groups. While the algorithms for…

机器学习 · 计算机科学 2018-12-11 Ruben A. Gevorgyan , Yenok B. Hakobyan

This paper proposes an original approach to cluster multi-component data sets, including an estimation of the number of clusters. From the construction of a minimal spanning tree with Prim's algorithm, and the assumption that the vertices…

机器学习 · 统计学 2009-09-25 Laurent Galluccio , Olivier J. J. Michel , Pierre Comon , Eric Slezak , Alfred O. Hero

Clustering is a difficult and widely-studied data mining task, with many varieties of clustering algorithms proposed in the literature. Nearly all algorithms use a similarity measure such as a distance metric (e.g. Euclidean distance) to…

神经与进化计算 · 计算机科学 2019-10-24 Andrew Lensen , Bing Xue , Mengjie Zhang

Assessing how adequate clusters fit a dataset and finding an optimum number of clusters is a difficult process. A membership matrix and the degree of membership matrix is suggested to determine the homogeneity of a cluster fit. Maximisation…

统计方法学 · 统计学 2020-01-29 J W G Addy , J Langhorne

Clustering in image analysis is a central technique that allows to classify elements of an image. We describe a simple clustering technique that uses the method of similarity matrices. We expand upon recent results in spectral analysis for…

统计理论 · 数学 2022-03-23 Denis Gaidashev , Ralf Pihlström , Martin Ryner

Communities commonly overlap in real-world networks. This is a motivation to develop overlapping community detection methods, because methods for non-overlapping communities may not perform well. However, deterioration mechanism of the…

社会与信息网络 · 计算机科学 2020-10-27 Chihiro Noguchi , Tatsuro Kawamoto

We present a new algorithm for community detection. The algorithm uses random walks to embed the graph in a space of measures, after which a modification of $k$-means in that space is applied. The algorithm is therefore fast and easily…

机器学习 · 计算机科学 2016-05-11 Mark Kozdoba , Shie Mannor

Similarity-based clustering and semi-supervised learning methods separate the data into clusters or classes according to the pairwise similarity between the data, and the pairwise similarity is crucial for their performance. In this paper,…

机器学习 · 统计学 2017-09-06 Yingzhen Yang , Feng Liang , Nebojsa Jojic , Shuicheng Yan , Jiashi Feng , Thomas S. Huang

With rapidly increasing data, clustering algorithms are important tools for data analytics in modern research. They have been successfully applied to a wide range of domains; for instance, bioinformatics, speech recognition, and financial…

数据结构与算法 · 计算机科学 2015-12-01 Ka-Chun Wong

This paper presents new and effective algorithms for learning kernels. In particular, as shown by our empirical results, these algorithms consistently outperform the so-called uniform combination solution that has proven to be difficult to…

机器学习 · 计算机科学 2024-05-01 Corinna Cortes , Mehryar Mohri , Afshin Rostamizadeh

Crowdsourced, or human computation based clustering algorithms usually rely on relative distance comparisons, as these are easier to elicit from human workers than absolute distance information. A relative distance comparison is a statement…

数据结构与算法 · 计算机科学 2017-09-26 Antti Ukkonen

Kernel methods are popular in clustering due to their generality and discriminating power. However, we show that many kernel clustering criteria have density biases theoretically explaining some practically significant artifacts empirically…

机器学习 · 统计学 2017-12-11 Dmitrii Marin , Meng Tang , Ismail Ben Ayed , Yuri Boykov

Spectral clustering refers to a family of unsupervised learning algorithms that compute a spectral embedding of the original data based on the eigenvectors of a similarity graph. This non-linear transformation of the data is both the key of…

机器学习 · 计算机科学 2019-01-30 Nicolas Tremblay , Andreas Loukas

Clustering analysis of functional data, which comprises observations that evolve continuously over time or space, has gained increasing attention across various scientific disciplines. Practical applications often involve functional data…

统计方法学 · 统计学 2024-06-19 Tingyu Zhu , Lan Xue , Carmen Tekwe , Keith Diaz , Mark Benden , Roger Zoh