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Mixture models are a popular tool in model-based clustering. Such a model is often fitted by a procedure that maximizes the likelihood, such as the EM algorithm. At convergence, the maximum likelihood parameter estimates are typically…

统计计算 · 统计学 2019-07-23 Adrian O'Hagan , Thomas Brendan Murphy , Luca Scrucca , Isobel Claire Gormley

Using stochastic gradient search and the optimal filter derivative, it is possible to perform recursive (i.e., online) maximum likelihood estimation in a non-linear state-space model. As the optimal filter and its derivative are…

统计理论 · 数学 2021-01-05 Vladislav Z. B. Tadic , Arnaud Doucet

We consider deep multivariate models for heterogeneous collections of random variables. In the context of computer vision, such collections may e.g. consist of images, segmentations, image attributes, and latent variables. When developing…

机器学习 · 计算机科学 2026-02-03 Dmitrij Schlesinger , Boris Flach , Alexander Shekhovtsov

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…

统计方法学 · 统计学 2021-12-16 Fan Bu , Allison E. Aiello , Alexander Volfovsky , Jason Xu

Meta-analysis combines pertinent information from existing studies to provide an overall estimate of population parameters/effect sizes, as well as to quantify and explain the differences between studies. However, testing the between-study…

统计方法学 · 统计学 2020-11-13 Han Du , Ge Jiang , Zijun Ke

Nonparametric maximum likelihood (NPML) for mixture models is a technique for estimating mixing distributions that has a long and rich history in statistics going back to the 1950s, and is closely related to empirical Bayes methods.…

统计方法学 · 统计学 2018-01-15 Long Feng , Lee H. Dicker

DNA samples are often pooled, either by experimental design, or because the sample itself is a mixture. For example, when population allele frequencies are of primary interest, individual samples may be pooled together to lower the cost of…

定量方法 · 定量生物学 2013-02-07 Darren Kessner , Tom Turner , John Novembre

Clustered data is ubiquitous in a variety of scientific fields. In this paper, we propose a flexible and interpretable modeling approach, called grouped heterogenous mixture modeling, for clustered data, which models cluster-wise…

统计方法学 · 统计学 2020-02-10 Shonosuke Sugasawa

Warehouse automation plays a pivotal role in enhancing operational efficiency, minimizing costs, and improving resilience to workforce variability. While prior research has demonstrated the potential of machine learning (ML) models to…

机器人学 · 计算机科学 2025-06-12 Shuai Li , Azarakhsh Keipour , Sicong Zhao , Srinath Rajagopalan , Charles Swan , Kostas E. Bekris

The success of metabolomics studies depends upon the "fitness" of each biological sample used for analysis: it is critical that metabolite levels reported for a biological sample represent an accurate snapshot of the studied organism's…

定量方法 · 定量生物学 2015-06-16 Barry M. Slaff , Shane T. Jensen , Aalim M. Weljie

Molecular optimization is a key challenge in drug discovery and material science domain, involving the design of molecules with desired properties. Existing methods focus predominantly on single-property optimization, necessitating…

机器学习 · 计算机科学 2024-09-13 Aye Phyu Phyu Aung , Jay Chaudhary , Ji Wei Yoon , Senthilnath Jayavelu

When we use the normal mixture model, the optimal number of the components describing the data should be determined. Testing homogeneity is good for this purpose; however, to construct its theory is challenging, since the test statistic…

统计理论 · 数学 2019-12-24 Natsuki Kariya , Sumio Watanabe

We investigate Learning from Label Proportions (LLP), a partial information setting where examples in a training set are grouped into bags, and only aggregate label values in each bag are available. Despite the partial observability, the…

机器学习 · 计算机科学 2025-06-02 Robert Busa-Fekete , Travis Dick , Claudio Gentile , Haim Kaplan , Tomer Koren , Uri Stemmer

We present the R package MSTest, which implements hypothesis testing procedures to identify the number of regimes in Markov switching models. These models have wide-ranging applications in economics, finance, and numerous other fields. The…

统计方法学 · 统计学 2024-11-14 Gabriel Rodriguez-Rondon , Jean-Marie Dufour

The family of stable distributions received extensive applications in many fields of studies since it incorporates both the skewness and heavy tails. In this paper, we introduce a package written in the R language called alphastable. The…

统计计算 · 统计学 2018-09-26 Mahdi Teimouri , Mahdi Torshizi , Adel Mohammadpour , Saralees Nadarajah

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…

统计计算 · 统计学 2013-03-29 Sharon X. Lee , Geoffrey J. McLachlan

Maximum likelihood estimation (MLE) is a fundamental problem in statistics. Characteristics of the MLE problem for discrete algebraic statistical models are reflected in the geometry of the $\textit{likelihood correspondence}$, a variety…

统计理论 · 数学 2024-11-19 David Barnhill , John Cobb , Matthew Faust

We study the influence of cell-level mechanical heterogeneity in epithelial tissues using a vertex-based model. Heterogeneity in single cell stiffness is introduced as a quenched random variable in the preferred shape index($p_0$) for each…

生物物理 · 物理学 2019-08-07 Xinzhi Li , Amit Das , Dapeng Bi

Machine learning algorithms such as random forests or xgboost are gaining more importance and are increasingly incorporated into production processes in order to enable comprehensive digitization and, if possible, automation of processes.…

机器学习 · 计算机科学 2021-07-20 Eva Bartz , Martin Zaefferer , Olaf Mersmann , Thomas Bartz-Beielstein

Stochastic modeling has become a popular approach to quantify uncertainty in flows through heterogeneous porous media. The uncertainty in heterogeneous structure properties is often parameterized by a high-dimensional random variable. This…

数值分析 · 数学 2013-10-22 Lijian Jiang , J. David Moulton , Jia Wei