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For multivariate spatial Gaussian process (GP) models, customary specifications of cross-covariance functions do not exploit relational inter-variable graphs to ensure process-level conditional independence among the variables. This is…

统计方法学 · 统计学 2021-11-19 Debangan Dey , Abhirup Datta , Sudipto Banerjee

The study of infectious disease epidemiology for multi-type disease pathogens requires modelling techniques that account for the complex interactions existing between strains across geography and time. In this paper, we propose a novel…

统计方法学 · 统计学 2026-05-06 Matthew Adeoye , Simon E. F. Spencer , Xavier Didelot

Multi-fingered robotic grasping is an undeniable stepping stone to universal picking and dexterous manipulation. Yet, multi-fingered grippers remain challenging to control because of their rich nonsmooth contact dynamics or because of…

机器人学 · 计算机科学 2021-09-30 Norman Marlier , Olivier Brüls , Gilles Louppe

We develop a novel Bayesian method to select important predictors in regression models with multiple responses of diverse types. A sparse Gaussian copula regression model is used to account for the multivariate dependencies between any…

统计方法学 · 统计学 2020-09-22 Angelos Alexopoulos , Leonardo Bottolo

We consider the problem of estimating the marginal independence structure of a Bayesian network from observational data, learning an undirected graph we call the unconditional dependence graph. We show that unconditional dependence graphs…

统计方法学 · 统计学 2024-05-22 Danai Deligeorgaki , Alex Markham , Pratik Misra , Liam Solus

Recently developed techniques have made it possible to quickly learn accurate probability density functions from data in low-dimensional continuous space. In particular, mixtures of Gaussians can be fitted to data very quickly using an…

机器学习 · 计算机科学 2013-01-18 Scott Davies , Andrew Moore

We present a flexible Bayesian semiparametric mixed model for longitudinal data analysis in the presence of potentially high-dimensional categorical covariates. Building on a novel hidden Markov tensor decomposition technique, our proposed…

统计方法学 · 统计学 2022-08-05 Giorgio Paulon , Peter Müller , Abhra Sarkar

We describe a simple method for making inference on a functional of a multivariate distribution. The method is based on a copula representation of the multivariate distribution and it is based on the properties of an Approximate Bayesian…

统计方法学 · 统计学 2017-07-18 Clara Grazian , Brunero Liseo

Graphical Transformation Models (GTMs) are introduced as a novel approach to effectively model multivariate data with intricate marginals and complex dependency structures semiparametrically, while maintaining interpretability through the…

统计方法学 · 统计学 2025-08-28 Matthias Herp , Johannes Brachem , Michael Altenbuchinger , Thomas Kneib

Gaussian graphical models have been used to study intrinsic dependence among several variables, but the Gaussianity assumption may be restrictive in many applications. A nonparanormal graphical model is a semiparametric generalization for…

统计方法学 · 统计学 2020-05-20 Jami J. Mulgrave , Subhashis Ghosal

We present a novel approach for the analysis of multivariate case-control georeferenced data using Bayesian inference in the context of disease mapping, where the spatial distribution of different types of cancers is analyzed. Extending…

Undirected graphical models are widely used to model the conditional independence structure of vector-valued data. However, in many modern applications, for example those involving EEG and fMRI data, observations are more appropriately…

机器学习 · 统计学 2024-01-29 Boxin Zhao , Percy S. Zhai , Y. Samuel Wang , Mladen Kolar

An Archimedean copula is characterised by its generator. This is a real function whose inverse behaves as a survival function. We propose a semiparametric generator based on a quadratic spline. This is achieved by modelling the first…

统计理论 · 数学 2019-08-13 Ricardo Hoyos , Luis Nieto-Barajas

Tissue segmentation is the mainstay of pathological examination, whereas the manual delineation is unduly burdensome. To assist this time-consuming and subjective manual step, researchers have devised methods to automatically segment…

图像与视频处理 · 电气工程与系统科学 2022-08-08 Yang Nan , Peng Tang , Guyue Zhang , Caihong Zeng , Zhihong Liu , Zhifan Gao , Heye Zhang , Guang Yang

Bayesian graphical models are powerful tools to infer complex relationships in high dimension, yet are often fraught with computational and statistical challenges. If exploited in a principled way, the increasing information collected…

统计方法学 · 统计学 2024-03-15 Xiaoyue Xi , Hélène Ruffieux

This article extends the literature on copulas with discrete or continuous marginals to the case where some of the marginals are a mixture of discrete and continuous components. We do so by carefully defining the likelihood as the density…

统计方法学 · 统计学 2017-09-05 David Gunawan , Mohamad A. Khaled , Robert Kohn

This paper provides a simple, yet reliable, alternative to the (Bayesian) estimation of large multivariate VARs with time variation in the conditional mean equations and/or in the covariance structure. With our new methodology, the original…

计量经济学 · 经济学 2020-01-01 Mike Tsionas , Marwan Izzeldin , Lorenzo Trapani

We present a novel framework for concomitant dimension reduction and clustering. This framework is based on a novel class of Bayesian clustering factor models. These models assume a factor model structure where the vectors of common factors…

统计方法学 · 统计学 2025-05-09 Hwasoo Shin , Marco A. R. Ferreira , Allison N. Tegge

Graphical model selection is a seemingly impossible task when many pairs of variables are never jointly observed; this requires inference of conditional dependencies with no observations of corresponding marginal dependencies. This…

统计理论 · 数学 2023-02-16 Giuseppe Vinci , Gautam Dasarathy , Genevera I. Allen

Deep Gaussian processes (DGPs) provide a Bayesian non-parametric alternative to standard parametric deep learning models. A DGP is formed by stacking multiple GPs resulting in a well-regularized composition of functions. The Bayesian…

机器学习 · 统计学 2018-06-06 Vinayak Kumar , Vaibhav Singh , P. K. Srijith , Andreas Damianou