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This paper introduces a Bayesian image segmentation algorithm based on finite mixtures. An EM algorithm is developed to estimate parameters of the Gaussian mixtures. The finite mixture is a flexible and powerful probabilistic modeling tool.…

计算机视觉与模式识别 · 计算机科学 2012-04-10 Mohamed Ali Mahjoub , karim kalti

The Expectation--Maximization (EM) algorithm is a simple meta-algorithm that has been used for many years as a methodology for statistical inference when there are missing measurements in the observed data or when the data is composed of…

机器学习 · 统计学 2022-11-15 Hideitsu Hino , Shotaro Akaho , Noboru Murata

Mixture models serve as one fundamental tool with versatile applications. However, their training techniques, like the popular Expectation Maximization (EM) algorithm, are notoriously sensitive to parameter initialization and often suffer…

机器学习 · 计算机科学 2023-12-20 Yulai Cong , Sijia Li

Mixture models provide a flexible representation of heterogeneity in a finite number of latent classes. From the Bayesian point of view, Markov Chain Monte Carlo methods provide a way to draw inferences from these models. In particular,…

统计方法学 · 统计学 2020-05-06 Carolina Valani Cavalcante , Kelly Cristina Mota Gonçalves

The recent evolution of hyperspectral imaging technology and the proliferation of new emerging applications presses for the processing of multiple temporal hyperspectral images. In this work, we propose a novel spectral unmixing (SU)…

图像与视频处理 · 电气工程与系统科学 2022-11-28 Ricardo Augusto Borsoi , Tales Imbiriba , Pau Closas , José Carlos Moreira Bermudez , Cédric Richard

Expectation maximisation (EM) is an unsupervised learning method for estimating the parameters of a finite mixture distribution. It works by introducing "hidden" or "latent" variables via Baum's auxiliary function $Q$ that allow the joint…

机器学习 · 计算机科学 2022-05-19 Graham W. Pulford

A line of recent work has analyzed the behavior of the Expectation-Maximization (EM) algorithm in the well-specified setting, in which the population likelihood is locally strongly concave around its maximizing argument. Examples include…

统计理论 · 数学 2020-04-30 Raaz Dwivedi , Nhat Ho , Koulik Khamaru , Michael I. Jordan , Martin J. Wainwright , Bin Yu

This paper provides a mixture modeling framework using the bivariate generalized exponential distribution. We study different properties of this mixture distribution. Hierarchical EM algorithm is developed for finding the estimates of the…

统计计算 · 统计学 2018-04-03 Arabin Kumar Dey , Debasis Kundu , Tumati Kiran Kumar

In this paper, we study the modeling and the classification of functional data presenting regime changes over time. We propose a new model-based functional mixture discriminant analysis approach based on a specific hidden process regression…

统计方法学 · 统计学 2013-12-30 Faicel Chamroukhi , Hervé Glotin , Allou Samé

Discriminative latent-variable models are typically learned using EM or gradient-based optimization, which suffer from local optima. In this paper, we develop a new computationally efficient and provably consistent estimator for a mixture…

机器学习 · 计算机科学 2013-06-18 Arun Tejasvi Chaganty , Percy Liang

We develop a generally applicable full-information inference method for heterogeneous agent models, combining aggregate time series data and repeated cross sections of micro data. To handle unobserved aggregate state variables that affect…

计量经济学 · 经济学 2024-11-19 Laura Liu , Mikkel Plagborg-Møller

A mixture of experts models the conditional density of a response variable using a mixture of regression models with covariate-dependent mixture weights. We extend the finite mixture of experts model by allowing the parameters in both the…

统计计算 · 统计学 2022-10-14 Parfait Munezero , Mattias Villani , Robert Kohn

We consider a symmetric mixture of linear regressions with random samples from the pairwise comparison design, which can be seen as a noisy version of a type of Euclidean distance geometry problem. We analyze the expectation-maximization…

统计理论 · 数学 2023-06-23 Abhishek Dhawan , Cheng Mao , Ashwin Pananjady

Healthcare systems are facing serious challenges in balancing their human resources to cope with volatile service demand, while at the same time providing necessary job satisfaction to the healthcare workers. We propose in this paper a…

最优化与控制 · 数学 2021-03-09 Duy Anh Nguyen

Fitts' law is often employed as a predictive model for human movement, especially in the field of human-computer interaction. Models with an assumed Gaussian error structure are usually adequate when applied to data collected from…

应用统计 · 统计学 2022-10-03 Yanxi Li , Derek S. Young , Julien Gori , Olivier Rioul

Interval-censored multi-state data arise in many studies of chronic diseases, where the health status of a subject can be characterized by a finite number of disease states and the transition between any two states is only known to occur…

统计方法学 · 统计学 2022-09-19 Yu Gu , Donglin Zeng , Gerardo Heiss , D. Y. Lin

We consider an additive partially linear framework for modelling massive heterogeneous data. The major goal is to extract multiple common features simultaneously across all sub-populations while exploring heterogeneity of each…

统计方法学 · 统计学 2019-01-01 Binhuan Wang , Yixin Fang , Heng Lian , Hua Liang

A new approach for feature extraction from time series is proposed in this paper. This approach consists of a specific regression model incorporating a discrete hidden logistic process. The model parameters are estimated by the maximum…

统计方法学 · 统计学 2013-12-30 Faicel Chamroukhi , Allou Samé , Gérard Govaert , Patrice Aknin

Mixture of autoregressions (MoAR) models provide a model-based approach to the clustering of time series data. The maximum likelihood (ML) estimation of MoAR models requires the evaluation of products of large numbers of densities of normal…

统计计算 · 统计学 2016-10-19 Hien D Nguyen , Geoffrey J McLachlan , Pierre Orban , Pierre Bellec , Andrew L Janke

Maximum likelihood estimators are proposed for the parameters and the densities in a semiparametric density ratio model in which the nonparametric baseline density is approximated by the Bernstein polynomial model. The EM algorithm is used…

统计方法学 · 统计学 2021-03-02 Zhong Guan