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Published in 2019 at "Statistical Inference for Stochastic Processes"
DOI: 10.1007/s11203-021-09239-3
Abstract: In this paper we address the problem of estimating the posterior distribution of the static parameters of a continuous-time state space model with discrete-time observations by an algorithm that combines the Kalman filter and a… read more here.
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Published in 2017 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2017.08.016
Abstract: In this work we propose and analyze a Hessian-based adaptive sparse quadrature to compute infinite-dimensional integrals with respect to the posterior distribution in the context of Bayesian inverse problems with Gaussian prior. Due to the… read more here.
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Published in 2024 at "Journal of Computational and Graphical Statistics"
DOI: 10.1080/10618600.2024.2365728
Abstract: Abstract Markov chain Monte Carlo (MCMC) allows one to generate dependent replicates from a posterior distribution for effectively any Bayesian hierarchical model. However, MCMC can produce a significant computational burden. This motivates us to consider… read more here.
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Published in 2024 at "PLOS Computational Biology"
DOI: 10.1101/2024.02.20.581316
Abstract: Bayesian phylogenetic analysis with MCMC algorithms generates an estimate of the posterior distribution of phylogenetic trees in the form of a sample of phylogenetic trees and related parameters. The high dimensionality and non-Euclidean nature of… read more here.
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Published in 2022 at "IEEE Signal Processing Letters"
DOI: 10.1109/lsp.2022.3169439
Abstract: This letter deals with Gaussian approximation of complicated posterior distribution involved in the Bayesian paradigm for nonlinear dynamic systems. A general formulation for Gaussian approximation is first provided by equivalently representing posterior distribution as a… read more here.
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Published in 2018 at "Australasian Journal of Dermatology"
DOI: 10.1111/ajd.12683
Abstract: ment effect, and (ii) no meaningful treatment effect. This was achieved by integrating the priors and the likelihoods over reasonable upper and lower bounds. In contrast, as the author points out, it is possible to… read more here.
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Published in 2021 at "European Journal of Neurology"
DOI: 10.1111/ene.14993
Abstract: Cerebral amyloid angiopathy (CAA) is a well‐recognized contributor to cognitive decline in the elderly. The posterior cortical predilection of CAA pathology would cause visuospatial dysfunction, which is still underexplored. We aimed to investigate whether the… read more here.
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Published in 2023 at "Statistical Science"
DOI: 10.1214/22-sts868
Abstract: Gaussian process (GP) regression is computationally expensive in spatial applications involving massive data. Various methods address this limitation, including a small number of Bayesian methods based on distributed computations (or the divide-and-conquer strategy). Focusing on… read more here.