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Verification and validation of fully automated vehicles is linked to an almost intractable challenge of reflecting the real world with all its interactions in a virtual environment. Influential stochastic parameters need to be extracted…

应用统计 · 统计学 2022-11-22 Katrin Lotto , Thomas Nagler , Mladjan Radic

Copula-based models provide a great deal of flexibility in modelling multivariate distributions, allowing for the specifications of models for the marginal distributions separately from the dependence structure (copula) that links them to…

统计方法学 · 统计学 2021-09-09 Nicolás Kuschinski , Alejandro Jara

Tensor networks are a tool first employed in the context of many-body quantum physics that now have a wide range of uses across the computational sciences, from numerical methods to machine learning. Methods integrating tensor networks into…

机器学习 · 计算机科学 2026-04-27 John Gardiner , Javier Lopez-Piqueres

In this study we propose a hybrid estimation of distribution algorithm (HEDA) to solve the joint stratification and sample allocation problem. This is a complex problem in which each the quality of each stratification from the set of all…

统计方法学 · 统计学 2022-01-12 Mervyn O'Luing , Steven Prestwich , S. Armagan Tarim

The increasing use of vine copulas in high-dimensional settings, where the number of parameters is often of the same order as the sample size, calls for asymptotic theory beyond the traditional fixed-$p$, large-$n$ framework. We establish…

统计理论 · 数学 2026-05-28 Jana Gauss , Thomas Nagler

We propose a general formulation of a univariate estimation-of-distribution algorithm (EDA). It naturally incorporates the three classic univariate EDAs \emph{compact genetic algorithm}, \emph{univariate marginal distribution algorithm} and…

神经与进化计算 · 计算机科学 2022-10-07 Benjamin Doerr , Marc Dufay

Quantile regression is a field with steadily growing importance in statistical modeling. It is a complementary method to linear regression, since computing a range of conditional quantile functions provides a more accurate modelling of the…

统计方法学 · 统计学 2022-05-09 Marija Tepegjozova , Jing Zhou , Gerda Claeskens , Claudia Czado

The majority of research on estimation-of-distribution algorithms (EDAs) concentrates on pseudo-Boolean optimization and permutation problems, leaving the domain of EDAs for problems in which the decision variables can take more than two…

神经与进化计算 · 计算机科学 2024-05-21 Firas Ben Jedidia , Benjamin Doerr , Martin S. Krejca

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…

机器学习 · 统计学 2012-10-30 Mark A. Kon , Nikolay Nikolaev

Estimation of Distribution Algorithms (EDAs) are stochastic heuristics that search for optimal solutions by learning and sampling from probabilistic models. Despite their popularity in real-world applications, there is little rigorous…

神经与进化计算 · 计算机科学 2018-07-27 Duc-Cuong Dang , Per Kristian Lehre , Phan Trung Hai Nguyen

Conditional copulas are flexible statistical tools that couple joint conditional and marginal conditional distributions. In a linear regression setting with more than one covariate and two dependent outcomes, we propose the use of additive…

统计方法学 · 统计学 2014-07-31 Avideh Sabeti , Mian Wei , Radu V. Craiu

The basic goal of computer engineering is the analysis of data. Such data are often large data sets distributed according to various distribution models. In this manuscript we focus on the analysis of non-Gaussian distributed data. In the…

统计方法学 · 统计学 2019-02-11 Krzysztof Domino

This paper deals with the distributed processing in the search for an optimum classification model using evolutionary product unit neural networks. For this distributed search we used a cluster of computers. Our objective is to obtain a…

神经与进化计算 · 计算机科学 2012-05-16 A. J. Tallón-Ballesteros , P. A. Gutiérrez-Peña , C. Hervás-Martínez

Copulas are mathematical objects that fully capture the dependence structure among random variables and hence, offer a great flexibility in building multivariate stochastic models. In statistics, a copula is used as a general way of…

统计方法学 · 统计学 2013-10-01 Abhik Ghosh , Aritra Chakravorty

Estimating mutual information (MI) is a fundamental task in data science and machine learning. Existing estimators mainly rely on either highly flexible models (e.g., neural networks), which require large amounts of data, or overly…

机器学习 · 计算机科学 2025-10-27 Yanzhi Chen , Zijing Ou , Adrian Weller , Michael U. Gutmann

This paper proposes multivariate copula models for hierarchical data. They account for two types of correlation: one is between variables measured on the same unit and the other is a correlation between units in the same cluster. This model…

统计方法学 · 统计学 2023-04-24 Talagbe Gabin Akpo , Louis-Paul Rivest

A bivariate copula mixed model has been recently proposed to synthesize diagnostic test accuracy studies and it has been shown that is superior to the standard generalized linear mixed model (GLMM) in this context. Here we call trivariate…

统计方法学 · 统计学 2017-11-09 Aristidis K. Nikoloulopoulos

Selecting the appropriate requirements to develop in the next release of an open market software product under evolution, is a compulsory step of each software development project. This selection should be done by maximizing stakeholders'…

软件工程 · 计算机科学 2023-02-07 Jose del Sagrado , Jose Antonio Sierra Ibanez , Isabel M. del Aguila

A pair-copula construction is a decomposition of a multivariate copula into a structured system, called regular vine, of bivariate copulae or pair-copulae. The standard practice is to model these pair-copulae parametrically, which comes at…

统计方法学 · 统计学 2012-01-26 Ingrid Hobaek Haff , Johan Segers

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…

统计方法学 · 统计学 2021-03-05 Clara Grazian , Luciana Dalla Valle , Brunero Liseo