I am a Lecturer in Optimisation / Machine Learning and is a member of Statistics and Data Science group.
My area of mathematical expertise is the theoretical and computational handling of inverse & ill-posed problems. In inverse problems, an unknown quantity – such as the image of the interior of a human body – is only accessible indirectly through the inversion of a mathematical operator. In nearly all relevant applications, this inversion process is highly unstable with respect to measurement errors. A remedy is the approximation of the inverses via families of continuous operators, also known as regularisation operators.
The particular focus of my research is the analysis and numerical realisation of regularisation operators arising from the minimisation of non-smooth functionals. His research covers topics such as non-linear (numerical) analysis, (convex and non-convex) optimisation, functional analysis, machine learning, imaging and image processing, compressed sensing and (big) data analysis.