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An extension of the latent class model is presented for clustering categorical data by relaxing the classical "class conditional independence assumption" of variables. This model consists in grouping the variables into inter-independent and…

统计计算 · 统计学 2015-10-01 Matthieu Marbac , Christophe Biernacki , Vincent Vandewalle

Usual formulations of the clustering coefficient can be shown to be insufficient in the task of describing the local topology of very simple networks. Motivated by this, we review some alternatives in order to present an extension, the…

数据分析、统计与概率 · 物理学 2007-05-23 Alexandre H. Abdo , A. P. S. de Moura

We propose Bayesian model averaging (BMA) as a method for postprocessing the results of model-based clustering. Given a number of competing models, appropriate model summaries are averaged, using the posterior model probabilities, instead…

统计计算 · 统计学 2015-07-01 Niamh Russell , Thomas Brendan Murphy , Adrian E Raftery

Parameter estimation for model-based clustering using a finite mixture of normal inverse Gaussian (NIG) distributions is achieved through variational Bayes approximations. Univariate NIG mixtures and multivariate NIG mixtures are…

统计方法学 · 统计学 2017-10-09 Sanjeena Subedi , Paul D. McNicholas

Correlation clustering is a central problem in unsupervised learning, with applications spanning community detection, duplicate detection, automated labelling and many more. In the correlation clustering problem one receives as input a set…

The cluster algorithm in the fully frustrated Ising model on the square lattice is essentially different from the ones used in other systems. Thus its better understanding is particularly important for finding new lines of development.…

凝聚态物理 · 物理学 2009-10-22 Werner Kerler , Peter Rehberg

A high-risk pregnancy is a pregnancy complicated by factors that can adversely affect the outcomes of the mother or the infant. Health insurers use algorithms to identify members who would benefit from additional clinical support. This work…

This paper establishes asymptotic results for the maximum likelihood and restricted maximum likelihood (REML) estimators of the parameters in the nested error regression model for clustered data when both of the number of independent…

统计理论 · 数学 2021-01-25 Ziyang Lyu , A. H. Welsh

The consistency of the maximum likelihood estimator for mixtures of elliptically-symmetric distributions for estimating its population version is shown, where the underlying distribution $P$ is nonparametric and does not necessarily belong…

统计理论 · 数学 2024-10-14 Pietro Coretto , Christian Hennig

In this paper, we propose an ensemble learning algorithm named \textit{bagged $k$-distance for mode-based clustering} (\textit{BDMBC}) by putting forward a new measurement called the \textit{probability of localized level sets}…

机器学习 · 统计学 2022-10-19 Hanyuan Hang

One of the most prominent challenges in clustering is "the user's dilemma," which is the problem of selecting an appropriate clustering algorithm for a specific task. A formal approach for addressing this problem relies on the…

机器学习 · 计算机科学 2016-10-05 Margareta Ackerman , Shai Ben-David , Simina Brânzei , David Loker

We propose a meta-learning method for positive and unlabeled (PU) classification, which improves the performance of binary classifiers obtained from only PU data in unseen target tasks. PU learning is an important problem since PU data…

机器学习 · 计算机科学 2024-06-07 Atsutoshi Kumagai , Tomoharu Iwata , Yasuhiro Fujiwara

Factorial hidden Markov models (FHMMs) are powerful tools of modeling sequential data. Learning FHMMs yields a challenging simultaneous model selection issue, i.e., selecting the number of multiple Markov chains and the dimensionality of…

机器学习 · 统计学 2015-06-29 Shaohua Li , Ryohei Fujimaki , Chunyan Miao

This paper introduces a novel nonparametric criterion for determining the appropriate number of clusters, which is derived from the spatial median. The method is constructed to reconcile two competing objectives of cluster analysis: the…

统计计算 · 统计学 2025-09-26 Hend Gabr , Brian H Willis , Mohammed Baragilly

We propose a novel agglomerative clustering method based on unmasking, a technique that was previously used for authorship verification of text documents and for abnormal event detection in videos. In order to join two clusters, we…

计算机视觉与模式识别 · 计算机科学 2019-05-03 Mariana-Iuliana Georgescu , Radu Tudor Ionescu

A widely used paradigm to improve the generalization performance of high-capacity neural models is through the addition of auxiliary unsupervised tasks during supervised training. Tasks such as similarity matching and input reconstruction…

机器学习 · 计算机科学 2022-01-19 Shivin Srivastava , Kenji Kawaguchi , Vaibhav Rajan

We consider the problem of decentralized clustering and estimation over multi-task networks, where agents infer and track different models of interest. The agents do not know beforehand which model is generating their own data. They also do…

最优化与控制 · 数学 2017-05-24 Sahar Khawatmi , Ali H. Sayed , Abdelhak M. Zoubir

Clustering stands as one of the most prominent challenges in unsupervised machine learning. Among centroid-based methods, the classic $k$-means algorithm, based on Lloyd's heuristic, is widely used. Nonetheless, it is a well-known fact that…

机器学习 · 统计学 2025-01-30 Supratik Basu , Jyotishka Ray Choudhury , Debolina Paul , Swagatam Das

Variable selection in cluster analysis is important yet challenging. It can be achieved by regularization methods, which realize a trade-off between the clustering accuracy and the number of selected variables by using a lasso-type penalty.…

统计方法学 · 统计学 2016-12-23 Marbac Matthieu , Sedki Mohammed

Clustering is one of the most fundamental and wide-spread techniques in exploratory data analysis. Yet, the basic approach to clustering has not really changed: a practitioner hand-picks a task-specific clustering loss to optimize and fit…

机器学习 · 计算机科学 2019-11-01 Yibo Jiang , Nakul Verma
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