The Bayesian statistical inversion method is implemented to obtain the parameter
estimations for fractional LotkaVolterra models, including the derivative orders, based on …

In this paper, we address the numerical posterior error control problem for the Bayesian
approach to inverse problems or recently known as Bayesian Uncertainty Quantification …

In this paper, we consider the inverse problem of derivative order estimation in a fractional
logistic model. In order to solve the direct problem, we use the Grünwald-Letnikov fractional …

We generalize the results of\cite {Capistran2016} on expected Bayes factors (BF) to control
the numerical error in the posterior distribution to an infinite dimensional setting when …

Inverse problems (IPs) appear in many science and mathematics branches, mainly in
situations where quantities of interest are different from those we can measure; model …

In this paper, we assess the reliability of explicit formulas introduced by Pham et al.[Explicit
formulas for the reflection and transmission coefficients of one-component waves through a …

In this paper we explore a strategy towards efficient numerical error control in the Bayesian
analysis of inverse problems defined by a system of Ordinary Differential Equations (ODE) …