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Finite mixture modelling provides a framework for cluster analysis based on parsimonious Gaussian mixture models. Variable or feature selection is of particular importance in situations where only a subset of the available variables provide…

统计计算 · 统计学 2014-11-04 Luca Scrucca , Adrian E. Raftery

Finding a set of nested partitions of a dataset is useful to uncover relevant structure at different scales, and is often dealt with a data-dependent methodology. In this paper, we introduce a general two-step methodology for model-based…

统计计算 · 统计学 2021-04-22 Etienne Côme , Nicolas Jouvin , Pierre Latouche , Charles Bouveyron

Count data is becoming more and more ubiquitous in a wide range of applications, with datasets growing both in size and in dimension. In this context, an increasing amount of work is dedicated to the construction of statistical models…

We introduce the R package ContaminatedMixt, conceived to disseminate the use of mixtures of multivariate contaminated normal distributions as a tool for robust clustering and classification under the common assumption of elliptically…

统计计算 · 统计学 2016-06-14 Antonio Punzo , Angelo Mazza , Paul D. McNicholas

We survey agglomerative hierarchical clustering algorithms and discuss efficient implementations that are available in R and other software environments. We look at hierarchical self-organizing maps, and mixture models. We review grid-based…

信息检索 · 计算机科学 2011-05-03 Fionn Murtagh , Pedro Contreras

Motivation: Model selection is a ubiquitous challenge in statistics. For penalized models, model selection typically entails tuning hyperparameters to maximize a measure of fit or minimize out-of-sample prediction error. However, these…

统计方法学 · 统计学 2025-05-29 Priyam Das , Sarah Robinson , Christine B. Peterson

Structured data in the form of tabular datasets contain features that are distinct and discrete, with varying individual and relative importances to the target. Combinations of one or more features may be more predictive and meaningful than…

We consider the task of simultaneous clustering of the two node sets involved in a bipartite network. The approach we adopt is based on use of the exact integrated complete likelihood for the latent block model. Using this allows one to…

统计计算 · 统计学 2015-05-19 Jason Wyse , Nial Friel , Pierre Latouche

Several recent deep neural networks experiments leverage the generalist-specialist paradigm for classification. However, no formal study compared the performance of different clustering algorithms for class assignment. In this paper we…

机器学习 · 计算机科学 2016-09-14 Sébastien Arnold

We describe the Greedy Sparse Subspace Clustering (GSSC) algorithm providing an efficient method for clustering data belonging to a few low-dimensional linear or affine subspaces from incomplete corrupted and noisy data. We provide…

数值分析 · 数学 2013-04-17 Alexander Petukhov , Inna Kozlov

In the design of algorithms, the greedy paradigm provides a powerful tool for solving efficiently classical computational problems, within the framework of procedural languages. However, expressing these algorithms within the declarative…

数据库 · 计算机科学 2007-05-23 Sergio Greco , Carlo Zaniolo

The paper tackles the problem of clustering multiple networks, directed or not, that do not share the same set of vertices, into groups of networks with similar topology. A statistical model-based approach based on a finite mixture of…

统计理论 · 数学 2023-11-07 Tabea Rebafka

The latent stochastic block model is a flexible and widely used statistical model for the analysis of network data. Extensions of this model to a dynamic context often fail to capture the persistence of edges in contiguous network…

统计方法学 · 统计学 2018-04-16 Riccardo Rastelli

The R Package CEC performs clustering based on the cross-entropy clustering (CEC) method, which was recently developed with the use of information theory. The main advantage of CEC is that it combines the speed and simplicity of $k$-means…

机器学习 · 计算机科学 2015-08-20 Jacek Tabor , Przemysław Spurek , Konrad Kamieniecki , Marek Śmieja , Krzysztof Misztal

Model-based clustering is a popular approach for clustering multivariate data which has seen applications in numerous fields. Nowadays, high-dimensional data are more and more common and the model-based clustering approach has adapted to…

统计方法学 · 统计学 2018-09-25 Michael Fop , Thomas Brendan Murphy

Large-scale L1-regularized loss minimization problems arise in high-dimensional applications such as compressed sensing and high-dimensional supervised learning, including classification and regression problems. High-performance algorithms…

机器学习 · 统计学 2012-12-19 Chad Scherrer , Ambuj Tewari , Mahantesh Halappanavar , David Haglin

In this paper, we study the problem of {\em $k$-center clustering with outliers}. The problem has many important applications in real world, but the presence of outliers can significantly increase the computational complexity. Though a…

机器学习 · 计算机科学 2023-01-10 Hu Ding , Ruomin Huang , Kai Liu , Haikuo Yu , Zixiu Wang

Clustering a graph means identifying internally dense subgraphs which are only sparsely interconnected. Formalizations of this notion lead to measures that quantify the quality of a clustering and to algorithms that actually find…

数据结构与算法 · 计算机科学 2011-12-12 Robert Görke , Andrea Schumm , Dorothea Wagner

Clustering is a powerful and extensively used data science tool. While clustering is generally thought of as an unsupervised learning technique, there are also supervised variations such as Spath's clusterwise regression that attempt to…

机器学习 · 计算机科学 2023-05-09 Aravinth Chembu , Scott Sanner

This paper proposes a greedy heuristic named as Big step greedy heuristic and investigates the application of Big step greedy heuristic for maximum k-coverage problem. Greedy algorithms construct the solution in multiple steps, the…

数据结构与算法 · 计算机科学 2015-09-25 Drona Pratap Chandu
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