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Handling missing values plays an important role in the analysis of survival data, especially, the ones marked by cure fraction. In this paper, we discuss the properties and implementation of stochastic approximations to the…

Methodology · Statistics 2021-07-22 Sandip Barui , Suvra Pal , Nutan Mishra , Katherine Davies

In this paper, we propose a new estimation methodology based on a projected non-linear conjugate gradient (PNCG) algorithm with an efficient line search technique. We develop a general PNCG algorithm for a survival model incorporating a…

Statistics Theory · Mathematics 2020-07-07 Suvra Pal , Souvik Roy

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…

Machine Learning · Computer Science 2022-05-19 Graham W. Pulford

The EM (Expectation-Maximization) algorithm is regarded as an MM (Majorization-Minimization) algorithm for maximum likelihood estimation of statistical models. Expanding this view, this paper demonstrates that by choosing an appropriate…

Optimization and Control · Mathematics 2026-02-12 Kensuke Asai , Jun-ya Gotoh

We present a semi-supervised algorithm for lung cancer screening in which a 3D Convolutional Neural Network (CNN) is trained using the Expectation-Maximization (EM) meta-algorithm. Semi-supervised learning allows a smaller labelled data-set…

Machine Learning · Computer Science 2020-10-06 Sumeet Menon , David Chapman , Phuong Nguyen , Yelena Yesha , Michael Morris , Babak Saboury

In this paper, we extend the vertical modeling approach for the analysis of survival data with competing risks to incorporate a cured fraction in the population, that is, a proportion of the population for which none of the competing events…

Methodology · Statistics 2015-08-18 M. A. Nicolaie , J. M. G. Taylor , C. Legrand

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) algorithm is a widely used iterative algorithm for computing maximum likelihood estimate when dealing with Gaussian Mixture Model (GMM). When the sample size is smaller than the data dimension, this could lead…

Machine Learning · Statistics 2023-07-06 Pierre Houdouin , Matthieu Jonkcheere , Frederic Pascal

Phenotypic variability in a population of cells can work as the bet-hedging of the cells under an unpredictably changing environment, the typical example of which is the bacterial persistence. To understand the strategy to control such…

Populations and Evolution · Quantitative Biology 2019-12-02 So Nakashima , Yuki Sughiyama , Tetsuya J. Kobayashi

The EM-algorithm is a general procedure to get maximum likelihood estimates if part of the observations on the variables of a network are missing. In this paper a stochastic version of the algorithm is adapted to probabilistic neural…

Artificial Intelligence · Computer Science 2013-03-26 Gerhard Paass

The Stochastic Approximation EM (SAEM) algorithm, a variant stochastic approximation of EM, is a versatile tool for inference in incomplete data models. In this paper, we review the fundamental EM algorithm and then focus especially on the…

Methodology · Statistics 2018-11-30 Vahid Tadayon

The expectation-maximization (EM) algorithm and its variants are widely used in statistics. In high-dimensional mixture linear regression, the model is assumed to be a finite mixture of linear regression and the number of predictors is much…

Statistics Theory · Mathematics 2023-07-24 Ning Wang , Xin Zhang , Qing Mai

Expectation maximization (EM) is a technique for estimating maximum-likelihood parameters of a latent variable model given observed data by alternating between taking expectations of sufficient statistics, and maximizing the expected log…

Methodology · Statistics 2018-07-10 Donna Henderson , Gerton Lunter

The Expectation Maximization (EM) algorithm is a versatile tool for model parameter estimation in latent data models. When processing large data sets or data stream however, EM becomes intractable since it requires the whole data set to be…

Statistics Theory · Mathematics 2012-10-18 Sylvain Le Corff , Gersende Fort

Throughout the world, breast cancer is one of the leading causes of female death. Recently, deep learning methods are developed to automatically grade breast cancer of histological slides. However, the performance of existing deep learning…

Computer Vision and Pattern Recognition · Computer Science 2022-03-09 Yanyuet Man , Xiangyun Ding , Xingcheng Yao , Han Bao

Latent class model (LCM), which is a finite mixture of different categorical distributions, is one of the most widely used models in statistics and machine learning fields. Because of its non-continuous nature and the flexibility in shape,…

Machine Learning · Statistics 2021-03-23 Hao Chen , Lanshan Han , Alvin Lim

The Expectation-Maximization (EM) algorithm is a popular choice for learning latent variable models. Variants of the EM have been initially introduced, using incremental updates to scale to large datasets, and using Monte Carlo (MC)…

Machine Learning · Statistics 2022-03-22 Belhal Karimi , Ping Li

The choice of the most effective treatment may eventually be influenced by breast cancer survival prediction. To predict the chances of a patient surviving, a variety of techniques were employed, such as statistical, machine learning, and…

Machine Learning · Computer Science 2023-04-18 Khaoula Chtouki , Maryem Rhanoui , Mounia Mikram , Kamelia Amazian , Siham Yousfi

Dramatic increases in the size and dimensionality of many recent data sets make crucial the need for sophisticated methods that can exploit inherent structure and handle missing values. In this article we derive an expectation-maximization…

Methodology · Statistics 2013-09-26 Hunter Glanz , Luis Carvalho

The expectation-maximization (EM) algorithm is an iterative method for finding maximum likelihood estimates when data are incomplete or are treated as being incomplete. The EM algorithm and its variants are commonly used for parameter…

Computation · Statistics 2013-06-26 Ryan P. Browne , Sanjeena Subedi , Paul McNicholas
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