Langtangen Seminar (April 29, 2025) Carola B. Schönlieb скачать в хорошем качестве

Langtangen Seminar (April 29, 2025) Carola B. Schönlieb

Mathematical imaging and structure-preserving deep learning Carola Schönlieb, University of Cambridge Abstract: Images are a rich source of beautiful mathematical formalism and analysis. Associated mathematical problems arise in functional and non-smooth analysis, the theory and numerical analysis of nonlinear partial differential equations, inverse problems, harmonic, stochastic, and statistical analysis, and optimization, just to name a few. Applications of mathematical imaging are profound and arise in biomedicine, material sciences, astronomy, digital humanities, as well as many technological developments such as autonomous driving, facial screening and many more. In this talk I will discuss my perspective onto mathematical imaging, share my fascination and vision for the subject. I will then zoom into structure-preserving deep learning and its relevance for solving inverse imaging problems.