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相关论文: Graph Sensitive Indices for Comparing Clusterings

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Motivation: Clustering is a frequently used concept in variety of bioinformatical applications. We present a new method for hierarchical clustering of data called mutual information clustering (MIC) algorithm. It uses mutual information…

定量方法 · 定量生物学 2007-05-23 Alexander Kraskov , Harald Stögbauer , Ralph G. Andrzejak , Peter Grassberger

We consider the simultaneous clustering of rows and columns of a matrix and more particularly the ability to measure the agreement between two co-clustering partitions. The new criterion we developed is based on the Adjusted Rand Index and…

应用统计 · 统计学 2020-12-16 Valerie Robert , Yann Vasseur , Vincent Brault

Clustering algorithms are one of the main analytical methods to detect patterns in unlabeled data. Existing clustering methods typically treat samples in a dataset as points in a metric space and compute distances to group together similar…

机器学习 · 计算机科学 2021-10-12 Tarek Naous , Srinjay Sarkar , Abubakar Abid , James Zou

We study here the clustering of directed social graphs. The clustering coefficient has been introduced to capture the social phenomena that a friend of a friend tends to be my friend. This metric has been widely studied and has shown to be…

社会与信息网络 · 计算机科学 2020-08-04 Thibaud Trolliet , Nathann Cohen , Frédéric Giroire , Luc Hogie , Stéphane Pérennes

To evaluate clustering results is a significant part of cluster analysis. There are no true class labels for clustering in typical unsupervised learning. Thus, a number of internal evaluations, which use predicted labels and data, have been…

机器学习 · 计算机科学 2021-01-06 Shuyue Guan , Murray Loew

Nonhierarchical clustering depending on unsupervised algorithms may not retrieve the optimal partition of datasets. Determining if clusters fit ``natural partitions`` can be achieved using cluster validity indices (CVIs). Most existing CVIs…

统计方法学 · 统计学 2019-06-04 Anri Mutoh , Masamichi Wada , Kou Amano

A new model called Clustering with Neural Network and Index (CNNI) is introduced. CNNI uses a Neural Network to cluster data points. Training of the Neural Network mimics supervised learning, with an internal clustering evaluation index…

机器学习 · 计算机科学 2024-12-03 Gangli Liu

Finding "true" clusters in a data set is a challenging problem. Clustering solutions obtained using different models and algorithms do not necessarily provide compact and well-separated clusters or the optimal number of clusters. Cluster…

机器学习 · 计算机科学 2026-03-12 Adil M. Bagirov , Ramiz M. Aliguliyev , Nargiz Sultanova , Sona Taheri

Whether class labels in a given data set correspond to meaningful clusters is crucial for the evaluation of clustering algorithms using real-world data sets. This property can be quantified by separability measures. The central aspects of…

机器学习 · 统计学 2025-04-11 Jana Gauss , Fabian Scheipl , Moritz Herrmann

Clustering is a central approach for unsupervised learning. After clustering is applied, the most fundamental analysis is to quantitatively compare clusterings. Such comparisons are crucial for the evaluation of clustering methods as well…

机器学习 · 统计学 2017-10-03 Alexander J Gates , Yong-Yeol Ahn

Internal cluster validity measures (such as the Calinski-Harabasz, Dunn, or Davies-Bouldin indices) are frequently used for selecting the appropriate number of partitions a dataset should be split into. In this paper we consider what…

机器学习 · 统计学 2022-08-31 Marek Gagolewski , Maciej Bartoszuk , Anna Cena

Pattern comparison represents a fundamental and crucial aspect of scientific modeling, artificial intelligence, and pattern recognition. Three main approaches have typically been applied for pattern comparison: (i) distances; (ii)…

物理与社会 · 物理学 2024-07-12 Alexandre Benatti , Luciano da F. Costa

A key issue in cluster analysis is the choice of an appropriate clustering method and the determination of the best number of clusters. Different clusterings are optimal on the same data set according to different criteria, and the choice…

统计方法学 · 统计学 2020-06-24 Serhat Emre Akhanli , Christian Hennig

The evolution of many dynamical systems that describe relationships or interactions between objects can be effectively modeled by temporal networks, which are typically represented as a sequence of static network snapshots. In this paper,…

社会与信息网络 · 计算机科学 2025-07-11 Filip Blašković , Tim O. F. Conrad , Stefan Klus , Nataša Djurdjevac Conrad

The present work investigates clustering of a graph-based representation of industrial connections derived from international trade data by Hidalgo et al (2007) and confirms existence of around ten industrial clusters that are reasonably…

物理与社会 · 物理学 2020-11-20 V. Bouet , A. Y. Klimenko

Random walks can reveal communities or clusters in networks, because they are more likely to stay within a cluster than leave it. Thus, one family of community detection algorithms uses random walks to measure distance between pairs of…

无序系统与神经网络 · 物理学 2023-08-11 Eric Chalmers , Artur Luczak

We generalize finite-sample bounds for convex clustering to the setting where affinity weights appearing in the objective correspond to a general connected graph. These bounds and their analysis lead to a better understanding of clustering…

机器学习 · 统计学 2026-05-26 Sam Rosen , Jason Xu

We propose a novel perspective on varied-density clustering for high-dimensional data by framing it as a label propagation process in neighborhood graphs that adapt to local density variations. Our method formally connects density-based…

机器学习 · 计算机科学 2025-08-06 Ninh Pham , Yingtao Zheng , Hugo Phibbs

Cluster validity indexes are very important tools designed for two purposes: comparing the performance of clustering algorithms and determining the number of clusters that best fits the data. These indexes are in general constructed by…

机器学习 · 计算机科学 2018-12-24 Ahmed Ben Said , Rachid Hadjidj , Sebti Foufou

In this work, the possibility of clustering correlated random variables was examined, both because of their mutual similarity and because of their similarity to the principal components. The k-means algorithm and spectral algorithms were…

机器学习 · 计算机科学 2019-09-10 Zenon Gniazdowski , Dawid Kaliszewski