Staff
Yury Korolev

Department of Mathematical Sciences

Dr Yury Korolev

Research interests:

  • Inverse problems and imaging
  • Machine learning in infinite dimensions
  • Non-smooth variational problems

Yury uses functional analysis to better understand numerical algorithms used in machine learning, inverse problems, and mathematical imaging. He studies neural networks as functions in certain function spaces where they achieve efficient approximation rates (that is, rates that do not depend on the dimension of the input space). He also develops data-driven regularisation methods for ill-posed inverse problems and applies them in imaging (primarily, light microscopy) in collaboration with other departments. Yury is also interested in nonlinear eigenvalue problems (that is, eigenvalue problems for non-linear and even set-valued operators such as the subdifferential of a convex function) and their applications in data science.

 

LINKS:

Yury Korolev on the University of Bath Research Portal

Lead Supervisors

Federico Cornalba

Department of Mathematical Sciences

  • Modelling of large-scale interacting particle systems
  • Analysis and numerics of stochastic PDEs of Fluctuating Hydrodynamics
  • Reinforcement Learning methods
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Avi Mayorcas

Department of Mathematical Sciences

  • Regularisation by noise in stochastic partial and ordinary differential equations
  • Stochastic quantisation of physical field theories
  • Game theory and mean field dynamics in macroeconomics and finance
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Christoforos Panagiotis

Department of Mathematical Sciences

  • Percolation and lattice spin models
  • Probability on groups
  • Self-avoiding walk
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Matthew Schrecker

Department of Mathematical Sciences

  • Analysis of Partial Differential Equations
  • Fluid dynamics (especially free boundary problems and nonlinear singularity formation)
  • Shock waves (their formation, structure and dynamics)
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Haiyan Zheng

Department of Mathematical Sciences

  • Adaptive designs in clinical trials
  • Bayesian data augmentation
  • Finite mixture distributions
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Andreas Kyprianou

Andreas was instrumental in the development of SAMBa and was Co-Director from its inception until the end of 2022. He has left the University of Bath to take up the role of Chair of Probability at the University of Warwick.

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Jennifer Tweedy

Department of Mathematical Sciences

  • Mathematical medicine
  • Fluid mechanics
  • Mathematical modelling
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Thomas Burnett

Department of Mathematical Sciences

Tom’s research interest is in medical statistics, with a particular focus on the design and analysis of adaptive clinical trials.

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Vangelis Evangelou

Department of Mathematical Sciences

  • Generalised Linear Models: Modelling, Approximate Methods, Value of Information
  • Spatial and Spatial-Temporal Geostatistics: Modelling, Sampling Design
  • Time Series: Modelling, Sequential Analysis
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James Foster

Department of Mathematical Sciences

  • Numerical methods for stochastic differential equations (SDEs)
  • Langevin Monte Carlo and applications of SDEs to machine learning
  • Neural differential equations and kernel methods for time series data
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