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In this study, we propose a robust mixture regression procedure based on the skew t distribution to model heavy-tailed and/or skewed errors in a mixture regression setting. Using the scale mixture representation of the skew t distribution,…

Statistics Theory · Mathematics 2017-06-12 Fatma Zehra Doğru , Olcay Arslan

This paper describes an algorithm for fitting finite mixtures of unrestricted Multivariate Skew t (FM-uMST) distributions. The package EMMIX-uskew implements a closed-form expectation-maximization (EM) algorithm for computing the maximum…

Computation · Statistics 2013-03-29 Sharon X. Lee , Geoffrey J. McLachlan

Expectation maximisation (EM) is usually thought of as an unsupervised learning method for estimating the parameters of a mixture distribution, however it can also be used for supervised learning when class labels are available. As such, EM…

Machine Learning · Computer Science 2022-06-01 Graham W. Pulford

Expectation Maximization (EM) is among the most popular algorithms for estimating parameters of statistical models. However, EM, which is an iterative algorithm based on the maximum likelihood principle, is generally only guaranteed to find…

Statistics Theory · Mathematics 2016-08-30 Ji Xu , Daniel Hsu , Arian Maleki

Students' engagements reflect their level of involvement in an ongoing learning process which can be estimated through their interactions with a computer-based learning or assessment system. A pre-requirement for stimulating student…

Computers and Society · Computer Science 2024-03-12 R. Maqsood , P. Ceravolo , C. Romero , S. Ventura

A major stage of radio interferometric data processing is calibration or the estimation of systematic errors in the data and the correction for such errors. A stochastic error (noise) model is assumed, and in most cases, this underlying…

Instrumentation and Methods for Astrophysics · Physics 2015-06-16 S. Kazemi , S. Yatawatta

Significant progress has been made in learning image classification neural networks under long-tail data distribution using robust training algorithms such as data re-sampling, re-weighting, and margin adjustment. Those methods, however,…

Computer Vision and Pattern Recognition · Computer Science 2022-12-05 Lechao Cheng , Chaowei Fang , Dingwen Zhang , Guanbin Li , Gang Huang

Modeling of high-dimensional data is very important to categorize different classes. We develop a new mixture model called Multinomial cluster-weighted model (MCWM). We derive the identifiability of a general class of MCWM. We estimate the…

Methodology · Statistics 2022-08-25 Kehinde Olobatuyi , Oludare Ariyo

Expectation maximization (EM) algorithm is to find maximum likelihood solution for models having latent variables. A typical example is Gaussian Mixture Model (GMM) which requires Gaussian assumption, however, natural images are highly…

Machine Learning · Computer Science 2018-12-04 Wentian Zhao , Shaojie Wang , Zhihuai Xie , Jing Shi , Chenliang Xu

This paper tackles the problem of missing data imputation for noisy and non-Gaussian data. A classical imputation method, the Expectation Maximization (EM) algorithm for Gaussian mixture models, has shown interesting properties when…

Machine Learning · Statistics 2023-05-23 Florian Mouret , Alexandre Hippert-Ferrer , Frédéric Pascal , Jean-Yves Tourneret

Point set registration is a key component in many computer vision tasks. The goal of point set registration is to assign correspondences between two sets of points and to recover the transformation that maps one point set to the other.…

Computer Vision and Pattern Recognition · Computer Science 2010-11-09 Andriy Myronenko , Xubo Song

We consider the problem of learning a model from multiple heterogeneous sources with the goal of performing well on a new target distribution. The goal of learner is to mix these data sources in a target-distribution aware way and…

Machine Learning · Computer Science 2023-11-14 Yuyang Deng , Ilja Kuzborskij , Mehrdad Mahdavi

In this paper, we consider the problem of automatic modulation classification with multiple sensors in the presence of unknown time offset, phase offset and received signal amplitude. We develop a novel hybrid maximum likelihood (HML)…

Other Computer Science · Computer Science 2015-02-05 O. Ozdemir , T. Wimalajeewa , B. Dulek , P. K. Varshney , W. Su

We investigate a variation of the 3D registration problem, named multi-model 3D registration. In the multi-model registration problem, we are given two point clouds picturing a set of objects at different poses (and possibly including…

Robotics · Computer Science 2024-02-19 David Jin , Sushrut Karmalkar , Harry Zhang , Luca Carlone

Model-based clustering approaches concern the paradigm of exploratory data analysis relying on the finite mixture model to automatically find a latent structure governing observed data. They are one of the most popular and successful…

Methodology · Statistics 2014-04-29 Faicel Chamroukhi

Finite mixture models are powerful tools for modelling and analyzing heterogeneous data. Parameter estimation is typically carried out using maximum likelihood estimation via the Expectation-Maximization (EM) algorithm. Recently, the…

Computation · Statistics 2020-05-15 Sharon X. Lee , Geoffrey J. McLachlan , Kaleb L. Leemaqz

Mixed linear regression (MLR) model is among the most exemplary statistical tools for modeling non-linear distributions using a mixture of linear models. When the additive noise in MLR model is Gaussian, Expectation-Maximization (EM)…

Machine Learning · Statistics 2021-05-14 Babak Barazandeh , Ali Ghafelebashi , Meisam Razaviyayn , Ram Sriharsha

We introduce the spiked mixture model (SMM) to address the problem of estimating a set of signals from many randomly scaled and noisy observations. Subsequently, we design a novel expectation-maximization (EM) algorithm to recover all…

Machine Learning · Statistics 2026-01-26 Paul-Louis Delacour , Sander Wahls , Jeffrey M. Spraggins , Lukasz Migas , Raf Van de Plas

Classical Image-Based Visual Servoing (IBVS) makes use of geometric image features like point, straight line and image moments to control a robotic system. Robust extraction and real-time tracking of these features are crucial to the…

Robotics · Computer Science 2020-06-23 Mithun. P , Shaunak A. Mehta , Suril V. Shah , Gaurav Bhatnagar , K. Madhava Krishna

Object Tracking is one important problem in computer vision and surveillance system. The existing models mainly exploit the single-view feature (i.e. color, texture, shape) to solve the problem, failing to describe the objects…

Computer Vision and Pattern Recognition · Computer Science 2018-10-09 Jing Zhang , Yonggong Ren