Railway infrastructure monitoring is a vital task to ensure rail transportation safety. A rail
failure could result in not only a considerable impact on train delays and maintenance costs …

A research frontier has emerged in scientific computation, wherein discretisation error is
regarded as a source of epistemic uncertainty that can be modelled. This raises several …

This article attempts to place the emergence of probabilistic numerics as a mathematical–
statistical research field within its historical context and to explore how its gradual …

This work provides theoretical foundations for kernel methods in the hyperspherical context.
Specifically, we characterise the native spaces (reproducing kernel Hilbert spaces) and the …

Vector Gaussian processes are becoming increasingly important in machine learning and
statistics, with applications to many branches of applied sciences. Recent efforts have al …