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Semi-supervised clustering is the task of clustering data points into clusters where only a fraction of the points are labelled. The true number of clusters in the data is often unknown and most models require this parameter as an input.…

机器学习 · 计算机科学 2013-09-27 Amar Shah , Zoubin Ghahramani

We consider the statistical analysis of heterogeneous data for prediction in situations where the observations include functions, typically time series. We extend the modeling with Mixtures-of-Experts (ME), as a framework of choice in…

统计方法学 · 统计学 2023-12-21 Faïcel Chamroukhi , Nhat Thien Pham , Van Hà Hoang , Geoffrey J. McLachlan

Matrix Factorization (MF) has been widely applied in machine learning and data mining. A large number of algorithms have been studied to factorize matrices. Among them, stochastic gradient descent (SGD) is a commonly used method.…

分布式、并行与集群计算 · 计算机科学 2020-06-30 Yuanhang Yu , Dong Wen , Ying Zhang , Xiaoyang Wang , Wenjie Zhang , Xuemin Lin

The use of a finite mixture of normal distributions in model-based clustering allows to capture non-Gaussian data clusters. However, identifying the clusters from the normal components is challenging and in general either achieved by…

统计方法学 · 统计学 2016-06-21 Gertraud Malsiner-Walli , Sylvia Frühwirth-Schnatter , Bettina Grün

Partial differential equations (PDEs) have become an essential tool for modeling complex physical systems. Such equations are typically solved numerically via mesh-based methods, such as finite element methods, with solutions over the…

统计方法学 · 统计学 2024-02-15 Chih-Li Sung , Wenjia Wang , Liang Ding , Xingjian Wang

When constructing a Bayesian Machine Learning model, we might be faced with multiple different prior distributions and thus are required to properly consider them in a sensible manner in our model. While this situation is reasonably well…

机器学习 · 计算机科学 2021-04-20 Sarem Seitz

Community structure is one of the most important features of real networks and reveals the internal organization of the nodes. Many algorithms have been proposed but the crucial issue of testing, i.e. the question of how good an algorithm…

物理与社会 · 物理学 2008-10-30 Andrea Lancichinetti , Santo Fortunato , Filippo Radicchi

Finite mixture models have been widely used for the modelling and analysis of data from heterogeneous populations. Maximum likelihood estimation of the parameters is typically carried out via the Expectation-Maximization (EM) algorithm. The…

统计计算 · 统计学 2016-06-08 Sharon X Lee , Kaleb L Lee , Geoffrey J McLachlan

Clustering is the process of finding underlying group structures in data. Although mixture model-based clustering is firmly established in the multivariate case, there is a relative paucity of work on matrix variate distributions and none…

统计方法学 · 统计学 2018-03-06 Michael P. B. Gallaugher , Paul D. McNicholas

Mixtures-of-Experts (MoE) are conditional mixture models that have shown their performance in modeling heterogeneity in data in many statistical learning approaches for prediction, including regression and classification, as well as for…

统计方法学 · 统计学 2019-07-17 Bao Tuyen Huynh , Faicel Chamroukhi

Grouping observations into homogeneous groups is a recurrent task in statistical data analysis. We consider Gaussian Mixture Models, which are the most famous parametric model-based clustering method. We propose a new robust approach for…

统计方法学 · 统计学 2022-11-16 Antoine Godichon-Baggioni , Stéphane Robin

Understanding sub-cellular protein localisation is an essential component to analyse context specific protein function. Recent advances in quantitative mass-spectrometry (MS) have led to high resolution mapping of thousands of proteins to…

应用统计 · 统计学 2019-03-12 Oliver M. Crook , Kathryn S. Lilley , Laurent Gatto , Paul D. W. Kirk

We tackle the challenge of estimating grouping structures and factor loadings in asset pricing models, where traditional regressions struggle due to sparse data and high noise. Existing approaches, such as those using fused penalties and…

统计方法学 · 统计学 2025-12-30 Liyuan Cui , Guanhao Feng , Yuefeng Han , Jiayan Li

We consider the problem of joint estimation of structured covariance matrices. Assuming the structure is unknown, estimation is achieved using heterogeneous training sets. Namely, given groups of measurements coming from centered…

统计理论 · 数学 2016-04-20 Ilya Soloveychik , Ami Wiesel

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

We propose a penalized likelihood framework for estimating multiple precision matrices from different classes. Most existing methods either incorporate no information on relationships between the precision matrices, or require this…

机器学习 · 统计学 2020-03-03 Bradley S. Price , Aaron J. Molstad , Ben Sherwood

Nowadays the number of available processing cores within computing nodes which are used in recent clustered environments, are growing up with a rapid rate. Despite this trend, the number of available network interfaces in such computing…

分布式、并行与集群计算 · 计算机科学 2012-07-13 Mohsen Soryani , Morteza Analoui , Ghobad Zarrinchian

This paper proposes an early detection method for cluster structural changes. Cluster structure refers to discrete structural characteristics, such as the number of clusters, when data are represented using finite mixture models, such as…

机器学习 · 统计学 2024-03-28 Kento Urano , Ryo Yuki , Kenji Yamanishi

Principal component analysis (PCA), the most popular dimension-reduction technique, has been used to analyze high-dimensional data in many areas. It discovers the homogeneity within the data and creates a reduced feature space to capture as…

统计方法学 · 统计学 2026-03-24 Daning Bi , Le Chang , Yanrong Yang

Real-world applications may be affected by outlying values. In the model-based clustering literature, several methodologies have been proposed to detect units that deviate from the majority of the data (rowwise outliers) and trim them from…