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Determining the number of clusters is a fundamental issue in data clustering. Several algorithms have been proposed, including centroid-based algorithms using the Euclidean distance and model-based algorithms using a mixture of probability…

机器学习 · 计算机科学 2024-07-30 Ryosuke Motegi , Yoichi Seki

This paper is concerned with an important issue in finite mixture modelling, the selection of the number of mixing components. We propose a new penalized likelihood method for model selection of finite multivariate Gaussian mixture models.…

统计方法学 · 统计学 2013-01-17 Tao Huang , Heng Peng , Kun Zhang

Mixture Markov Model (MMM) is a widely used tool to cluster sequences of events coming from a finite state-space. However the MMM likelihood being multi-modal, the challenge remains in its maximization. Although Expectation-Maximization…

最优化与控制 · 数学 2026-04-16 Priyam Das , Deborshee Sen , Debsurya De , Jue Hou , Zahra S. H. Abad , Nicole Kim , Zongqi Xia , Tianxi Cai

Clustering task of mixed data is a challenging problem. In a probabilistic framework, the main difficulty is due to a shortage of conventional distributions for such data. In this paper, we propose to achieve the mixed data clustering with…

统计方法学 · 统计学 2015-10-01 Matthieu Marbac , Christophe Biernacki , Vincent Vandewalle

A mixture of shifted asymmetric Laplace distributions is introduced and used for clustering and classification. A variant of the EM algorithm is developed for parameter estimation by exploiting the relationship with the general inverse…

统计方法学 · 统计学 2017-10-09 Brian C. Franczak , Ryan P. Browne , Paul D. McNicholas

In mixture model-based clustering applications, it is common to fit several models from a family and report clustering results from only the `best' one. In such circumstances, selection of this best model is achieved using a model selection…

统计方法学 · 统计学 2017-10-09 Yuhong Wei , Paul D. McNicholas

We introduce a novel class of Bayesian mixtures for normal linear regression models which incorporates a further Gaussian random component for the distribution of the predictor variables. The proposed cluster-weighted model aims to…

统计方法学 · 统计学 2026-05-26 Panagiotis Papastamoulis , Konstantinos Perrakis

The data mining technique of time series clustering is well established in many fields. However, as an unsupervised learning method, it requires making choices that are nontrivially influenced by the nature of the data involved. The aim of…

计量经济学 · 经济学 2018-07-19 Iwo Augustyński , Paweł Laskoś-Grabowski

Time series forecasting has gained lots of attention recently; this is because many real-world phenomena can be modeled as time series. The massive volume of data and recent advancements in the processing power of the computers enable…

机器学习 · 计算机科学 2021-04-01 Manie Tadayon , Yumi Iwashita

Time series clustering is the process of grouping time series with respect to their similarity or characteristics. Previous approaches usually combine a specific distance measure for time series and a standard clustering method. However,…

In this paper, we outline the use of Mixture Models in density estimation of large astronomical databases. This method of density estimation has been known in Statistics for some time but has not been implemented because of the large…

天体物理学 · 物理学 2007-05-23 A. J. Connolly , C. Genovese , A. W. Moore , R. C. Nichol , J. Schneider , L. Wasserman

In this work a robust clustering algorithm for stationary time series is proposed. The algorithm is based on the use of estimated spectral densities, which are considered as functional data, as the basic characteristic of stationary time…

This work is devoted to the clustering of check-in sequences from a geosocial network. We used the mixture Markov chain process as a mathematical model for time-dependent types of data. For clustering, we adjusted the…

社会与信息网络 · 计算机科学 2021-06-24 Elena Shmileva , Viktor Sarzhan

Training the parameters of statistical models to describe a given data set is a central task in the field of data mining and machine learning. A very popular and powerful way of parameter estimation is the method of maximum likelihood…

机器学习 · 计算机科学 2016-03-22 Johannes Blömer , Sascha Brauer , Kathrin Bujna

Modeling complex physical systems such as they arise in civil engineering applications requires finding a trade-off between physical fidelity and practicality. Consequently, deviations of simulation from measurements are ubiquitous even…

计算工程、金融与科学 · 计算机科学 2026-03-18 Paolo Villani , Daniel Andrés Arcones , Jörg F. Unger , Martin Weiser

We describe a network clustering framework, based on finite mixture models, that can be applied to discrete-valued networks with hundreds of thousands of nodes and billions of edge variables. Relative to other recent model-based clustering…

统计计算 · 统计学 2020-03-13 Duy Q. Vu , David R. Hunter , Michael Schweinberger

The Gaussian mixture model is a classic technique for clustering and data modeling that is used in numerous applications. With the rise of big data, there is a need for parameter estimation techniques that can handle streaming data and…

人工智能 · 计算机科学 2016-09-20 Priyank Jaini , Pascal Poupart

We study two practically important cases of model based clustering using Gaussian Mixture Models: (1) when there is misspecification and (2) on high dimensional data, in the light of recent advances in Gradient Descent (GD) based…

机器学习 · 统计学 2020-07-28 Siva Rajesh Kasa , Vaibhav Rajan

A general framework for dealing with both linear regression and clustering problems is described. It includes Gaussian clusterwise linear regression analysis with random covariates and cluster analysis via Gaussian mixture models with…

统计方法学 · 统计学 2015-10-13 Giuliano Galimberti , Annamaria Manisi , Gabriele Soffritti

Clustering has received much attention in Statistics and Machine learning with the aim of developing statistical models and autonomous algorithms which are capable of acquiring information from raw data in order to perform exploratory…

统计方法学 · 统计学 2022-07-26 Victor Muthama Musau , Carlo Gaetan , Paolo Girardi