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We introduce a repulsive mixture model to cluster observation units represented by multivariate functional data, based on similarity of curve shapes and individual-specific covariates. We propose a repulsive prior distribution for the…

Quantifying spatial and/or temporal associations in multivariate geolocated data of different types is achievable via spatial random effects in a Bayesian hierarchical model, but severe computational bottlenecks arise when spatial…

Methodology · Statistics 2024-04-02 Michele Peruzzi , David B. Dunson

Circular data arise in many areas of application. Recently, there has been interest in looking at circular data collected separately over time and over space. Here, we extend some of this work to the spatio-temporal setting, introducing…

Methodology · Statistics 2017-04-18 Gianluca Mastrantonio , Giovanna Jona Lasinio , Alan E. Gelfand

We provide an introductory review of Bayesian data analytical methods, with a focus on applications for linguistics, psychology, psycholinguistics, and cognitive science. The empirically oriented researcher will benefit from making Bayesian…

Applications · Statistics 2016-12-14 Bruno Nicenboim , Shravan Vasishth

Bayesian modelling for cost-effectiveness data has received much attention in both the health economics and the statistical literature in recent years. Cost-effectiveness data are characterised by a relatively complex structure of…

Statistics Theory · Mathematics 2013-07-22 Gianluca Baio

This manuscript develops computationally efficient online learning for multivariate spatiotemporal models. The method relies on matrix-variate Gaussian distributions, dynamic linear models, and Bayesian predictive stacking to efficiently…

Methodology · Statistics 2026-02-10 Luca Presicce , Sudipto Banerjee

It is proposed in the literature that in some complicated problems maximum likelihood estimates (MLE) are not suitable or even do not exist. An alternative to MLE for estimation of the parameters is the Bayesian method. The Markov chain…

Applications · Statistics 2019-10-08 Ali Reza Fotouhi

We propose practical extensions to Bayesian optimization for solving dynamic problems. We model dynamic objective functions using spatiotemporal Gaussian process priors which capture all the instances of the functions over time. Our…

Machine Learning · Statistics 2018-03-12 Favour M. Nyikosa , Michael A. Osborne , Stephen J. Roberts

Functional data analysis in a mixed-effects model framework is done using operator calculus. In this approach the functional parameters are treated as serially correlated effects giving an alternative to the penalized likelihood approach,…

Statistics Theory · Mathematics 2013-01-22 Bo Markussen

The joint modeling of multiple longitudinal biomarkers together with a time-to-event outcome is a challenging modeling task of continued scientific interest. In particular, the computational complexity of high dimensional (generalized)…

Methodology · Statistics 2023-12-12 Alexander Volkmann , Nikolaus Umlauf , Sonja Greven

The problem of jointly analysing functional connectomics and behavioral data is extremely challenging owing to the complex interactions between the two domains. In addition, clinical rs-fMRI studies often have to contend with limited…

Machine Learning · Computer Science 2023-01-18 Niharika Shimona D'Souza

We propose a Bayesian method to detect change points for functional data. We extract the features of a sequence of functional data by the discrete wavelet transform (DWT), and treat each sequence of feature independently. We believe there…

Methodology · Statistics 2018-08-06 Xiuqi Li , Subhashis Ghosal

Functional concurrent, or varying-coefficient, regression models are commonly used in biomedical and clinical settings to investigate how the relation between an outcome and observed covariate varies as a function of another covariate. In…

Dynamic prediction of causal effects under different treatment regimes conditional on an individual's characteristics and longitudinal history is an essential problem in precision medicine. This is challenging in practice because outcomes…

Methodology · Statistics 2023-03-07 Yizhen Xu , Jisoo Kim , Laura K. Hummers , Ami A. Shah , Scott Zeger

Multivariate spatio-temporal data arise more and more frequently in a wide range of applications; however, there are relatively few general statistical methods that can readily use that incorporate spatial, temporal and variable…

Methodology · Statistics 2017-11-15 Elynn Yi Chen , Qiwei Yao , Rong Chen

Fitting statistical models to spatiotemporal data requires finding the right balance between imposing smoothness and following the data. In the context of p-splines, we propose a Bayesian framework for choosing the smoothing parameter which…

Applications · Statistics 2013-10-30 A. W. Bowman , L. Evers , D. Molinari , W. R. Jones , M. J. Spence

Joint modeling of multiview graphs with a common set of nodes between views and auxiliary predictors is an essential, yet less explored, area in statistical methodology. Traditional approaches often treat graphs in different views as…

Methodology · Statistics 2026-03-24 Sharmistha Guha , Jose Rodriguez-Acosta , Ivo Dinov

In some real world applications, such as spectrometry, functional models achieve better predictive performances if they work on the derivatives of order m of their inputs rather than on the original functions. As a consequence, the use of…

Statistics Theory · Mathematics 2011-05-04 Fabrice Rossi , Nathalie Villa-Vialaneix

We propose simple inferential approaches for the fixed effects in complex functional mixed effects models. We estimate the fixed effects under the independence of functional residuals assumption and then bootstrap independent units (e.g.…

Methodology · Statistics 2016-07-06 So Young Park , Ana-Maria Staicu , Luo Xiao , Ciprian Crainiceanu

Dependency functions of dependent variables are relevant for i) performing uncertainty quantification and sensitivity analysis in presence of dependent variables and/or correlated variables, and ii) simulating random dependent variables. In…

Methodology · Statistics 2022-03-22 Matieyendou Lamboni