Tuomo Valkonen

Tuomo Valkonen is a Professor and Principal Investigator at the University of Helsinki, with significant contributions to mathematical optimization and inverse problems. He serves as the Managing Editor of the Journal of Nonsmooth Analysis and Optimization, advancing methodologies for nonsmooth and nonconvex optimization in imaging and PDE-constrained problems.

His research spans

• Nonsmooth Optimization: Developing linearized block coordinate descent methods and forward-backward splitting in non-Hilbertian spaces.
• Inverse Problems: Applying these techniques to Electrical Impedance Tomography, Diffusion Tensor Imaging, and Magnetic Resonance Imaging.
• Optimal Transport: Innovating in unbalanced transport for point source localization and dynamic regularization via infimal convolution.

Recent publications highlight his work on

• Online Optimization for real-time imaging.
• Multigrid Methods for total variation problems.
• Differential Estimates in bilevel PDE-constrained optimization.

He has received the Magna Cum Laude Award at ISMRM 2013 for dynamic imaging work and authored a textbook on nonsmooth analysis (2024). His methods integrate stochastic and deterministic solvers, emphasizing efficiency in high-dimensional medical and geophysical imaging.