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.
Workshop announcement
I am organising the Second Workshop on Machine Learning in Infinite Dimensions to be held at the ETH Zurich from 8 to 11 September 2025 (together with Christoph Schwab, Siddhartha Mishra, and Matthew Thorpe). This workshop aims to bring together researchers that work on different aspects of infinite-dimensionality in machine learning. Topics include, but are not restricted to, Gaussian process regression, operator learning, function spaces of neural networks, and measure transport. Attendance is free but we ask all attendees to register before 15th June. Support for travel and/or accommodation is available for (a limited number of) PhD students and early career researchers based at UK universities. Application deadline is 1st June. More details on the web site.
The workshop is kindly sponsored by the ETH Zurich and the EPSRC Hub on the Mathematical and Computational Foundations of AI ProbAI.
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
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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., 6 Jan 2025, arXiv.Research output: Working paper / Preprint › Preprint
File7 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 AccessFile49 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
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A Lipschitz spaces view of infinitely wide shallow neural networks
Bartolucci, F., Carioni, M., Iglesias, J. A., Korolev, Y., Naldi, E. & Vigogna, S., 18 Oct 2024, arXiv.Research output: Working paper / Preprint › Preprint
File14 Downloads (Pure) -
Inverse Problems with Learned Forward Operators
Arridge, S., Hauptmann, A. & Korolev, Y., 21 Nov 2023, arXiv.Research output: Working paper / Preprint › Preprint
File44 Downloads (Pure)