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In this paper, we propose regular vine copula based fusion of multiple deep neural network classifiers for the problem of multi-sensor based human activity recognition. We take the cross-modal dependence into account by employing regular…

Signal Processing · Electrical Eng. & Systems 2019-11-22 Shan Zhang , Baocheng Geng , Pramod K. Varshney , Muralidhar Rangaswamy

Regular vine distributions which constitute a flexible class of multivariate dependence models are discussed. Since multivariate copulae constructed through pair-copula decompositions were introduced to the statistical community, interest…

Methodology · Statistics 2012-11-26 Jeffrey Dissmann , Eike Christian Brechmann , Claudia Czado , Dorota Kurowicka

Vine copulas are pair-copula constructions enabling multivariate dependence modeling in terms of bivariate building blocks. One of the main tasks of fitting a vine copula is the selection of a suitable tree structure. For this the prevalent…

Methodology · Statistics 2017-03-16 Daniel Kraus , Claudia Czado

Vine copulas are a flexible tool for multivariate non-Gaussian distributions. For data from an observational study where the explanatory variables and response variables are measured together, a proposed vine copula regression method uses…

Methodology · Statistics 2019-10-30 Bo Chang , Harry Joe

The majority of finite mixture models suffer from not allowing asymmetric tail dependencies within components and not capturing non-elliptical clusters in clustering applications. Since vine copulas are very flexible in capturing these…

Methodology · Statistics 2021-09-09 Özge Sahin , Claudia Czado

Recordings of complex neural population responses provide a unique opportunity for advancing our understanding of neural information processing at multiple scales and improving performance of brain computer interfaces. However, most…

Neurons and Cognition · Quantitative Biology 2022-07-12 Lazaros Mitskopoulos , Theoklitos Amvrosiadis , Arno Onken

Regular vine copulas can describe a wider array of dependency patterns than the multivariate Gaussian copula or the multivariate Student's t copula. This paper presents two contributions related to model selection of regular vine copulas.…

Statistics Theory · Mathematics 2015-12-04 Lutz Gruber , Claudia Czado

Vine copulas (or pair-copula constructions) have become an important tool for high-dimensional dependence modeling. Typically, so called simplified vine copula models are estimated where bivariate conditional copulas are approximated by…

Methodology · Statistics 2017-05-19 Christian Schellhase , Fabian Spanhel

We propose a class of dynamic vine copula models. This is an extension of static vine copulas and a generalization of dynamic C-vine and D-vine copulas studied by Almeida et al (2016) and Goel and Mehra (2019). Within this class, we allow…

Methodology · Statistics 2019-11-05 Alexander Kreuzer , Claudia Czado

With the advancements of computer architectures, the use of computational models proliferates to solve complex problems in many scientific applications such as nuclear physics and climate research. However, the potential of such models is…

Computation · Statistics 2021-07-05 Vojtech Kejzlar , Tapabrata Maiti

In recent years, conditional copulas, that allow dependence between variables to vary according to the values of one or more covariates, have attracted increasing attention. In high dimension, vine copulas offer greater flexibility compared…

Methodology · Statistics 2021-09-24 Rosario Barone , Luciana Dalla Valle

We demonstrate how the uncertainty of parameter point estimates can be assessed in a maximum likelihood framework in order to prevent overfitting and erroneous detection of time-inhomogeneity. The class of models we consider are regular…

Computation · Statistics 2012-05-23 Jakob Stöber , Ulf Schepsmeier

In many studies multivariate event time data are generated from clusters having a possibly complex association pattern. Flexible models are needed to capture this dependence. Vine copulas serve this purpose. Inference methods for vine…

Applications · Statistics 2017-07-25 Nicole Barthel , Candida Geerdens , Matthias Killiches , Paul Janssen , Claudia Czado

To model high dimensional data, Gaussian methods are widely used since they remain tractable and yield parsimonious models by imposing strong assumptions on the data. Vine copulas are more flexible by combining arbitrary marginal…

Machine Learning · Statistics 2017-09-18 Dominik Müller , Claudia Czado

Vine copulas are sophisticated models for multivariate distributions and are increasingly used in machine learning. To facilitate their integration into modern ML pipelines, we introduce the vine computational graph, a DAG that abstracts…

Machine Learning · Computer Science 2025-06-17 Tuoyuan Cheng , Thibault Vatter , Thomas Nagler , Kan Chen

Vine copulas are a flexible tool for high-dimensional dependence modeling. In this article, we discuss the generation of approximate model-X knockoffs with vine copulas. It is shown how Gaussian knockoffs can be generalized to Gaussian…

Methodology · Statistics 2022-10-21 Malte S. Kurz

In this paper, we concentrate on new methodologies for copulas introduced and developed by Joe, Cooke, Bedford, Kurowica, Daneshkhah and others on the new class of graphical models called vines as a way of constructing higher dimensional…

Computation · Statistics 2012-10-30 Alireza Daneshkhah , Golamali Parham , Omid Chatrabgoun , M. Jokar

In the last decade, simplified vine copula models have been an active area of research. They build a high dimensional probability density from the product of marginals densities and bivariate copula densities. Besides parametric models,…

Methodology · Statistics 2017-06-29 Thomas Nagler , Christian Schellhase , Claudia Czado

This study suggests a coupling uncertainty analysis method to investigate the stiffness characteristics of variable stiffness (VS) composite. The D-vine copula function is used to address the coupling of random variables. To identify the…

Computational Engineering, Finance, and Science · Computer Science 2018-04-23 Qidi Li , Hu Wang , Yang Zeng , Zhiwei Lv

The paper presents a new copula based method for measuring dependence between random variables. Our approach extends the Maximum Mean Discrepancy to the copula of the joint distribution. We prove that this approach has several advantageous…

Machine Learning · Computer Science 2019-08-15 Barnabas Poczos , Zoubin Ghahramani , Jeff Schneider
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