Department of Mathematical Sciences
Dr Yury Korolev
Research interests:
Yury uses functional analysis to better understand numerical algorithms used in machine learning, inverse problems, and mathematical imaging. He studies neural networks as functions in certain function spaces where they achieve efficient approximation rates (that is, rates that do not depend on the dimension of the input space). He also develops data-driven regularisation methods for ill-posed inverse problems and applies them in imaging (primarily, light microscopy) in collaboration with other departments. Yury is also interested in nonlinear eigenvalue problems (that is, eigenvalue problems for non-linear and even set-valued operators such as the subdifferential of a convex function) and their applications in data science.
LINKS:
Yury Korolev on the University of Bath Research Portal
Andreas was instrumental in the development of SAMBa and was Co-Director from its inception until the end of 2022. He has left the University of Bath to take up the role of Chair of Probability at the University of Warwick.
Tom’s research interest is in medical statistics, with a particular focus on the design and analysis of adaptive clinical trials.
