Testing whether a learning procedure is calibrated
A learning procedure takes as input a dataset and performs inference for the parameters θ of
a model that is assumed to have given rise to the dataset. Here we consider learning …
a model that is assumed to have given rise to the dataset. Here we consider learning …
An importance sampling approach for reliable and efficient inference in Bayesian ordinary differential equation models
J Timonen, N Siccha, B Bales, H Lähdesmäki… - Stat, 2023 - Wiley Online Library
Statistical models can involve implicitly defined quantities, such as solutions to nonlinear
ordinary differential equations (ODEs), that unavoidably need to be numerically …
ordinary differential equations (ODEs), that unavoidably need to be numerically …
Probabilistic Richardson Extrapolation
For over a century, extrapolation methods have provided a powerful tool to improve the
convergence order of a numerical method. However, these tools are not well-suited to …
convergence order of a numerical method. However, these tools are not well-suited to …
Modelling pathwise uncertainty of Stochastic Differential Equations samplers via Probabilistic Numerics
Probabilistic ordinary differential equation (ODE) solvers have been introduced over the past
decade as uncertainty-aware numerical integrators. They typically proceed by assuming a …
decade as uncertainty-aware numerical integrators. They typically proceed by assuming a …
Probabilistic solvers enable a straight-forward exploration of numerical uncertainty in neuroscience models
Understanding neural computation on the mechanistic level requires models of neurons and
neuronal networks. To analyze such models one typically has to solve coupled ordinary …
neuronal networks. To analyze such models one typically has to solve coupled ordinary …
Uncertainty quantification for stochastic simulators with application to offshore wind farms
JC Kennedy - 2023 - theses.ncl.ac.uk
Computationally expensive computer models, known as simulators, are fundamental to the
modern scientific process. In recent years, there has been an increased interest in stochastic …
modern scientific process. In recent years, there has been an increased interest in stochastic …