Toni Karvonen

I am an Associate Professor in applied mathematics working at Lappeenranta–Lahti University of Technology LUT in Lappeenranta, Finland.

My research focuses on uncertainty quantification and model misspecification in numerical analysis, statistical modelling, and machine learning. I want to understand how using a wrong model affects the reliability of uncertainty quantification in order to develop robust and data-efficient numerical and statistical methods. I am particularly interested in models and methods that make use of positive-definite kernels, such as Gaussian process regression and radial basis function interpolation. Topics that I currently work on include

• uncertainty quantification and hyperparameter estimation in Gaussian process modelling,
• error analysis for kernel-based approximation,
• information-based complexity,
• theory of reproducing kernel Hilbert spaces,
• probabilistic numerical methods, such as Bayesian quadrature.

See my full list of publications and my Google Scholar profile.

Research team

• Doctoral student Olivier Dondjio

We are part of the research group on Uncertainty Quantification and Inverse Problems at LUT and the FAME Flagship of Advanced Mathematics for Sensing, Imaging and Modelling funded by the Research Council of Finland.

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