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Estimation of distribution algorithms (EDAs) provide a distribution - based approach for optimization which adapts its probability distribution during the run of the algorithm. We contribute to the theoretical understanding of EDAs and…

Neural and Evolutionary Computing · Computer Science 2022-11-28 Tobias Friedrich , Timo Kötzing , Frank Neumann , Aishwarya Radhakrishnan

In this article, a copula-based method for mixed regression models is proposed, where the conditional distribution of the response variable, given covariates, is modelled by a parametric family of continuous or discrete distributions, and…

Methodology · Statistics 2025-01-13 Pavel Krupskii , Bouchra R Nasri , Bruno N Remillard

The EXAFS data analysis software package EDA consists of a suite of programs running under Windows operating system environment and designed to perform all steps of conventional EXAFS data analysis such as the extraction of the XANES/EXAFS…

Materials Science · Physics 2021-08-13 Alexei Kuzmin

This paper introduces a robust estimation framework based solely on the copula function. We begin by introducing a family of divergence measures tailored for copulas, including the \(\alpha\)-, \(\beta\)-, and \(\gamma\)-copula divergences,…

Methodology · Statistics 2025-09-18 Shinto Eguchi , Shogo Kato

Non-random sample selection is a commonplace amongst many empirical studies and it appears when an output variable of interest is available only for a restricted non-random sub-sample of data. We introduce an extension of the generalized…

Statistics Theory · Mathematics 2015-08-18 M. Wojtyś , G. Marra

Scientific research increasingly relies on distributed computational resources, storage systems, networks, and instruments, ranging from HPC and cloud systems to edge devices. Event-driven architecture (EDA) benefits applications targeting…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-01 Haochen Pan , Ryan Chard , Sicheng Zhou , Alok Kamatar , Rafael Vescovi , Valérie Hayot-Sasson , André Bauer , Maxime Gonthier , Kyle Chard , Ian Foster

Evaluating forecasts is essential to understand and improve forecasting and make forecasts useful to decision makers. A variety of R packages provide a broad variety of scoring rules, visualisations and diagnostic tools. One particular…

Methodology · Statistics 2024-11-04 Nikos I. Bosse , Hugo Gruson , Anne Cori , Edwin van Leeuwen , Sebastian Funk , Sam Abbott

Capturing complex dependence structures between outcome variables (e.g., study endpoints) is of high relevance in contemporary biomedical data problems and medical research. Distributional copula regression provides a flexible tool to model…

Methodology · Statistics 2022-02-28 Nicolai Hans , Nadja Klein , Florian Faschingbauer , Michael Schneider , Andreas Mayr

Copula models are flexible tools to represent complex structures of dependence for multivariate random variables. According to Sklar's theorem (Sklar, 1959), any d-dimensional absolutely continuous density can be uniquely represented as the…

Methodology · Statistics 2021-03-05 Clara Grazian , Luciana Dalla Valle , Brunero Liseo

We investigate solving discrete optimisation problems using the estimation of distribution (EDA) approach via a novel combination of deep belief networks(DBN) and inductive logic programming (ILP).While DBNs are used to learn the structure…

Artificial Intelligence · Computer Science 2017-01-01 Sarmimala Saikia , Lovekesh Vig , Ashwin Srinivasan , Gautam Shroff , Puneet Agarwal , Richa Rawat

A new class of copulas based on order statistics was introduced by Baker (2008). Here, further properties of the bivariate and multivariate copulas are described, such as that of likelihood ratio dominance (LRD), and further bivariate…

Methodology · Statistics 2014-12-03 Rose Baker

Estimation of distribution algorithms are evolutionary algorithms that use extracted information from the population instead of traditional genetic operators to generate new solutions. This information is represented as a probabilistic…

Neural and Evolutionary Computing · Computer Science 2022-03-25 Saeed Ghadiri , Amin Nikanjam

Differential equations are pivotal in modeling and understanding the dynamics of various systems, offering insights into their future states through parameter estimation fitted to time series data. In fields such as economy, politics, and…

Machine Learning · Statistics 2024-04-24 Hyeontae Jo , Sung Woong Cho , Hyung Ju Hwang

This is the monograph on the theory and applications of copula entropy (CE). This book first introduces the theory of CE, including its background, definition, theorems, properties, and estimation methods. The theoretical applications of CE…

Methodology · Statistics 2025-12-23 Jian Ma

The adoption of probabilistic models for the best individuals found so far is a powerful approach for evolutionary computation. Increasingly more complex models have been used by estimation of distribution algorithms (EDAs), which often…

Neural and Evolutionary Computing · Computer Science 2007-10-16 Leonardo Emmendorfer , Aurora Pozo

In the context of paid research studies and clinical trials, budget considerations often require patient sampling from available populations which comes with inherent constraints. We introduce the R package CDsampling, which is the first to…

Computation · Statistics 2025-09-30 Yifei Huang , Liping Tong , Jie Yang

As a model-based evolutionary algorithm, estimation of distribution algorithm (EDA) possesses unique characteristics and has been widely applied to global optimization. However, traditional Gaussian EDA (GEDA) may suffer from premature…

Neural and Evolutionary Computing · Computer Science 2018-03-05 Yongsheng Liang , Zhigang Ren , Bei Pang , An Chen

The Estimation of Distribution Algorithm is a new class of population based search methods in that a probabilistic model of individuals is estimated based on the high quality individuals and used to generate the new individuals. In this…

Artificial Intelligence · Computer Science 2019-04-03 R. Rastegar , M. R. Meybodi

We introduce a new discriminant analysis method (Empirical Discriminant Analysis or EDA) for binary classification in machine learning. Given a dataset of feature vectors, this method defines an empirical feature map transforming the…

Machine Learning · Statistics 2012-10-30 Mark A. Kon , Nikolay Nikolaev

While there is considerable effort to identify signaling pathways using linear Gaussian Bayesian networks from data, there is less emphasis of understanding and quantifying conditional densities and probabilities of nodes given its parents…

Applications · Statistics 2021-11-22 Claudia Czado , Sebastian Scharl