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Department of Applied Mathematics and Theoretical Physics


I moved to the Department of Mathematical Sciences at the University of Bath. This is my new department web page. My personal web page is


Research Interests

Inverse Problems, Variational Methods, Mathematical Imaging, Mathematics of Machine Learning


I taught Introduction to Nonlinear Spectral Analysis in Lent term 2021/2022 and Inverse Problems in 2018/2019, 2019/2020 and 2020/2021.

Personal Web Page

NB: the list of publications below is generated automatically and may be incomplete. For an up-to-date list and more details about my research and teaching please visit my personal web page



A Total Variation Based Regularizer Promoting Piecewise-Lipschitz Reconstructions
M Burger, Y Korolev, CB Schönlieb, C Stollenwerk
– Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Convergence rates and structure of solutions of inverse problems with imperfect forward models
M Burger, Y Korolev, J Rasch
– Inverse Problems
HPC Implementation of the Multipoint Approximation Method for Large Scale Design Optimization Problems Under Uncertainty
V Toropov, Y Korolev, K Barkalov, E Kozinov, V Gergel
Image Reconstruction with Imperfect Forward Models and Applications in Deblurring
Y Korolev, J Lellmann
– SIAM Journal on Imaging Sciences
Design optimization under uncertainty using the multipoint approximation method
YM Korolev, VV Toropov, S Shahpar
– 58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
Diffusion tensor imaging with deterministic error bounds
A Gorokh, Y Korolev, T Valkonen
– Journal of Mathematical Imaging and Vision
Automatic optimizer vs human optimizer for low-order jet noise modelling
YM Korolev, SA Karabasov, VV Toropov
– 21st AIAA/CEAS Aeroacoustics Conference
Large-scale CFD optimization based on the FFD parametrization using the multipoint approximation method in an HPC environment
YM Korolev, VV Toropov, S Shahpar
– 16th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference
The multipoint approximation method as a parallel optimisation framework for problems with computationally expensive responses
YM Korolev, VV Toropov
– Civil-Comp Proceedings
Making use of a partial order in solving inverse problems: II.
Y Korolev
– Inverse Problems
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Research Group

Cambridge Image Analysis