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 a workshop on Machine Learning in Infinite Dimensions to be held at the University of Bath from 5 to 9 August 2024 (together with Tatiana Bubba, Bamdad Hosseini 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. The workshop is kindly sponsored by the International Centre for Mathematical Sciences, the London Mathematical Society, and the EPSRC Programme Grant Maths4DL.
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 - ICMS
Korolev, Y. (PI)
8/04/24 → 7/04/25
Project: UK charity
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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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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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Inverse Problems with Learned Forward Operators
Arridge, S., Hauptmann, A. & Korolev, Y., 21 Nov 2023, arXiv.Research output: Working paper / Preprint › Preprint
File50 Downloads (Pure) -
Eigenvalue problems in 𝐿^{∞}: optimality conditions, duality, and relations with optimal transport
Bungert, L. & Korolev, Y., 14 Oct 2022, In: Communications of the American Mathematical Society. 2, 8, p. 345-373 29 p.Research output: Contribution to journal › Article › peer-review
Open Access13 Downloads (Pure) -
Gaussian random fields on non-separable Banach spaces
Korolev, Y., Latz, J. & Schönlieb, C.-B., 9 Mar 2022.Research output: Working paper / Preprint › Preprint
File53 Downloads (Pure) -
Image Reconstruction in Light-Sheet Microscopy: Spatially Varying Deconvolution and Mixed Noise
Toader, B., Boulanger, J., Korolev, Y., Lenz, M. O., Manton, J., Schönlieb, C. B. & Mureşan, L., 30 Nov 2022, In: Journal of Mathematical Imaging and Vision . 64, p. 968-992 25 p.Research output: Contribution to journal › Article › peer-review
Open Access6 Citations (SciVal) -
Two-layer neural networks with values in a Banach space
Korolev, Y., 31 Dec 2022, In: SIAM Journal on Mathematical Analysis. 54, 6, p. 6358-6389 32 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile4 Citations (SciVal)78 Downloads (Pure)