Projects per year
Personal profile
Research interests
I am interested in applied analysis, in particular inverse problems, variational methods, mathematical imaging, and mathematics of machine learning. More information can be found on my web page.
Willing to supervise doctoral students
I am always looking for motivated PhD students. I can offer topics in mathematics of machine learning (analysis of neural networks, operator learning, neural networks for PDEs), inverse problems (regularisation, machine learning methods) and imaging.
Keywords
- Applied analysis
- Machine learning
- Inverse problems
- Imaging
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Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
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Operator learning for gradient flows with applications in imaging
Korolev, Y. (PI)
31/03/26 → 30/03/29
Project: Research council
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Machine Learning in Infinite Dimensions Workshop - LMS
Korolev, Y. (PI)
5/05/24 → 7/11/24
Project: UK charity
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Machine Learning in Infinite Dimensions Workshop - ICMS
Korolev, Y. (PI)
8/04/24 → 7/04/25
Project: UK charity
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Regularisation theory in the data driven setting
Korolev, Y. (PI)
Engineering and Physical Sciences Research Council
1/09/22 → 31/10/24
Project: Research council
Research output
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Analysis of mean-field models arising from self-attention dynamics in transformer architectures with layer normalization
Burger, M., Kabri, S., Korolev, Y., Roith, T. & Weigand, L., 5 Jun 2025, In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 383, 2298, 20240233.Research output: Contribution to journal › Article › peer-review
Open Access -
Analysis of mean-field models arising from self-attention dynamics in transformer architectures with layer normalization
Burger, M., Kabri, S., Korolev, Y., Roith, T. & Weigand, L., 6 Jan 2025, arXiv.Research output: Working paper / Preprint › Preprint
File63 Downloads (Pure) -
A sparse optimization approach to infinite infimal convolution regularization
Bredies, K., Carioni, M., Holler, M., Korolev, Y. & Schönlieb, C.-B., 28 Feb 2025, In: Numerische Mathematik. 157, 1, p. 41-96 56 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile2 Citations (SciVal)97 Downloads (Pure) -
Fast Inexact Bilevel Optimization for Analytical Deep Image Priors
Salehi, M. S., Bubba, T. A. & Korolev, Y., 17 May 2025, Scale Space and Variational Methods in Computer Vision - 10th International Conference, SSVM 2025, Proceedings. Bubba, T. A., Gaburro, R., Gazzola, S., Papafitsoros, K., Pereyra, M. & Schönlieb, C.-B. (eds.). Cham, Switzerland: Springer, p. 30-42 13 p. (Lecture Notes in Computer Science; vol. 15667 LNCS).Research output: Chapter or section in a book/report/conference proceeding › Chapter in a published conference proceeding
Open AccessFile1 Citation (SciVal)4 Downloads (Pure) -
Introduction to Nonlinear Spectral Analysis
Korolev, Y. & Bungert, L., 10 Jun 2025, arXiv.Research output: Working paper / Preprint › Preprint
File10 Downloads (Pure)