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Faculty of Mathematics

 

 

Research Interests

Inverse Problems, Variational Methods, Mathematical Imaging, Theoretical Machine Learning

Teaching

I am teaching Introduction to Nonlinear Spectral Analysis in Lent term 2021/2022.

I also taught 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 yury-korolev.gitlab.io.

 

Publications

Data Driven Reconstruction Using Frames and Riesz Bases
A Aspri, L Frischauf, Y Korolev, O Scherzer
(2021)
303
Variational regularisation for inverse problems with imperfect forward operators and general noise models.
L Bungert, M Burger, Y Korolev, C-B Schönlieb
– Inverse Probl
(2020)
36,
125014
Data driven regularization by projection
A Aspri, Y Korolev, O Scherzer
– Inverse Problems
(2020)
36,
125009
Structural analysis of an $L$-infinity variational problem and relations to distance functions
L Bungert, Y Korolev, M Burger
– Pure and Applied Analysis
(2020)
2,
703
Deeply learned spectral total variation decomposition
TG Grossmann, Y Korolev, G Gilboa, CB Schönlieb
– Advances in Neural Information Processing Systems
(2020)
2020-December,
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)
(2019)
11603,
485
Convergence rates and structure of solutions of inverse problems with imperfect forward models
M Burger, Y Korolev, J Rasch
– Inverse Problems
(2019)
35,
024006
Total Variation Regularisation with Spatially Variable Lipschitz Constraints.
M Burger, Y Korolev, S Parisotto, C-B Schönlieb
– CoRR
(2019)
abs/1912.02768,
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
(2018)
296
Image Reconstruction with Imperfect Forward Models and Applications in Deblurring
Y Korolev, J Lellmann
– SIAM Journal on Imaging Sciences
(2018)
11,
197
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Research Groups

Cambridge Image Analysis
Cantab Capital Institute for the Mathematics of Information

Room

F2.07

Telephone

01223 337892