Well met! I am Christian Aarset, a post-doctoral mathematician and veteran researcher. I received my PhD at the University of Klagenfurt in 2020.
I am fascinated by the mathematical handling of data - collecting it, processing it, training networks on it and recovering physical parameters from it. I'm equally happy to run the mathematical analysis as I am writing sleek and efficient code.
My main interests include
Neural networks and machine learning represents the most modern approach to data processing and modelling, and is a vibrant field with huge advances constantly appearing. Being on the cutting edge means not only learning how to implement, train and utilise hyper-efficient neural network architectures, but also to deepen our understanding of how machine learning works and how to interpret the results.
Finite element methods are fast, reliable, well-understood and provide both excellent ground truth-type simulations, as well as allowing detailed mathematical analysis. A cornerstone of physical analysis, finite elements both feature heavily in my physics-based models, and I enjoy exploiting their mathematical properties to find computational shortcuts.
Optimal experimental design is the mathematical study of devising experiments and collecting experimental data in a manner that leads to the best possible reconstruction results. This is exciting field involves inverse problems, stochastics, partial differential equations, large-scale computing, matrix algebra and more.
Apart from this, I am deeply invested in optimisation, dynamical systems, bifurcation theory, integral equations and energy disaggregation. In my free time, I like to calculate the future. If you want to discuss these topics with me, shoot me an email at any time!
Six best sensors for reconstructing aeroacoustic sources (red dots), with remaining uncertainty visualised in the centre (green blob). From my solo work Global optimality conditions for sensor placement, with extensions to binary low-rank A-optimal designs