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To address an important risk classification issue that arises in clinical practice, we propose a new mixture model via latent cure rate markers for survival data with a cure fraction. In the proposed model, the latent cure rate markers are…

Applications · Statistics 2009-10-12 Sungduk Kim , Yingmei Xi , Ming-Hui Chen

Structural equation models (SEMs) are widely used in sciences, ranging from economics to psychology, to uncover causal relationships underlying a complex system under consideration and estimate structural parameters of interest. We study…

Machine Learning · Statistics 2020-10-21 Luofeng Liao , You-Lin Chen , Zhuoran Yang , Bo Dai , Zhaoran Wang , Mladen Kolar

Microwave-based breast cancer detection has been proposed as a complementary approach to compensate for some drawbacks of existing breast cancer detection techniques. Among the existing microwave breast cancer detection methods, machine…

Machine Learning · Statistics 2017-02-27 Hongchao Song , Yunpeng Li , Mark Coates , Aidong Men

The EM algorithm is a special case of a more general algorithm called the MM algorithm. Specific MM algorithms often have nothing to do with missing data. The first M step of an MM algorithm creates a surrogate function that is optimized in…

Methodology · Statistics 2011-04-13 Tong Tong Wu , Kenneth Lange

The Expectation Maximization (EM) algorithm is of key importance for inference in latent variable models including mixture of regressors and experts, missing observations. This paper introduces a novel EM algorithm, called…

Machine Learning · Computer Science 2020-12-04 Gersende Fort , Eric Moulines , Hoi-To Wai

Deep learning-based computer-aided diagnosis has achieved unprecedented performance in breast cancer detection. However, most approaches are computationally intensive, which impedes their broader dissemination in real-world applications. In…

Image and Video Processing · Electrical Eng. & Systems 2022-01-14 Jiaqiao Shi , Aleksandar Vakanski , Min Xian , Jianrui Ding , Chunping Ning

Expectation Maximization (EM) is among the most popular algorithms for maximum likelihood estimation, but it is generally only guaranteed to find its stationary points of the log-likelihood objective. The goal of this article is to present…

Machine Learning · Computer Science 2018-10-29 Ji Xu , Daniel Hsu , Arian Maleki

The mixture model is undoubtedly one of the greatest contributions to clustering. For continuous data, Gaussian models are often used and the Expectation-Maximization (EM) algorithm is particularly suitable for estimating parameters from…

Machine Learning · Statistics 2025-11-25 Zineddine Tighidet , Lazhar Labiod , Mohamed Nadif

We develop a stochastic epidemic model progressing over dynamic networks, where infection rates are heterogeneous and may vary with individual-level covariates. The joint dynamics are modeled as a continuous-time Markov chain such that…

Methodology · Statistics 2021-12-16 Fan Bu , Allison E. Aiello , Alexander Volfovsky , Jason Xu

We study an EM algorithm for estimating product-term regression models with missing data. The study of such problems in the likelihood tradition has thus far been restricted to an EM algorithm method using full numerical integration.…

Methodology · Statistics 2021-11-16 Dale S. Kim

Over the last decades, many prognostic models based on artificial intelligence techniques have been used to provide detailed predictions in healthcare. Unfortunately, the real-world observational data used to train and validate these models…

Machine Learning · Computer Science 2023-11-21 Alice Bernasconi , Alessio Zanga , Peter J. F. Lucas , Marco Scutari , Fabio Stella

We consider Bayesian inference for stochastic differential equation mixed effects models (SDEMEMs) exemplifying tumor response to treatment and regrowth in mice. We produce an extensive study on how a SDEMEM can be fitted using both exact…

Applications · Statistics 2019-03-28 Umberto Picchini , Julie Lyng Forman

We develop the method of stochastic modified equations (SME), in which stochastic gradient algorithms are approximated in the weak sense by continuous-time stochastic differential equations. We exploit the continuous formulation together…

Machine Learning · Computer Science 2017-06-21 Qianxiao Li , Cheng Tai , Weinan E

Finding a large set of optima in a multimodal optimization landscape is a challenging task. Classical population-based evolutionary algorithms typically converge only to a single solution. While this can be counteracted by applying niching…

Neural and Evolutionary Computing · Computer Science 2023-10-10 Benjamin Doerr , Martin S. Krejca

In the analysis of time-to-event data with multiple causes using a competing risks Cox model, often the cause of failure is unknown for some of the cases. The probability of a missing cause is typically assumed to be independent of the…

Methodology · Statistics 2016-08-01 Daniel Nevo , Reiko Nishihara , Shuji Ogino , Molin Wang

The speed of convergence of the Expectation Maximization (EM) algorithm for Gaussian mixture model fitting is known to be dependent on the amount of overlap among the mixture components. In this paper, we study the impact of mixing…

Machine Learning · Computer Science 2012-07-03 Iftekhar Naim , Daniel Gildea

Nonparametric and semiparametric methods are commonly used in survival analysis to mitigate the bias due to model misspecification. However, such methods often cannot estimate upper-tail survival quantiles when a sizable proportion of the…

Methodology · Statistics 2019-07-19 Yifan Wang , Tian You , Martin Lysy

High-dimensional Bayesian variable selection problems are often solved using computationally expensive Markov Chain Montle Carlo (MCMC) techniques. Recently, a Bayesian variable selection technique was developed for continuous data using…

Computation · Statistics 2016-05-19 Patrick McDermott , John Snyder , Rebecca Willison

The estimation of covariance matrices of gene expressions has many applications in cancer systems biology. Many gene expression studies, however, are hampered by low sample size and it has therefore become popular to increase sample size by…

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