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Department of Applied Mathematics and Theoretical Physics

I am a Research Fellow at Jesus College, Cambridge, and an EPSRC ProbAI Doctoral Prize Fellow at DAMTP.

I did my PhD in Mathematics of Information at the University of Cambridge as a Trinity Henry Barlow Scholar, supervised by Professor Carola Schönlieb in the Cambridge Image Analysis Group within DAMTP, as a member of the CCIMI and the Maths4DL programme. Before that, I completed an MMath at Cambridge. During my PhD I was a Student Researcher at Google DeepMind in Mountain View, working on inverse lithography, and an intern at Apple in Cambridge, working on model compression.

I am generally interested in applied mathematics, particularly problems arising at the intersection of optimization, deep learning, geometry, and inverse problems. During my PhD I focused on geometric deep learning and physics-informed machine learning.

Publications

LIE ALGEBRA CANONICALIZATION: EQUIVARIANT NEURAL OPERATORS UNDER ARBITRARY LIE GROUPS
Z Shumaylov, P Zaika, J Rowbottom, F Sherry, M Weber, CB Schönlieb
– 13th International Conference on Learning Representations Iclr 2025
(2025)
13401
Symplectic Neural Flows for Modeling and Discovery
P Canizares, D Murari, C-B Schönlieb, F Sherry, Z Shumaylov
(2024)
Hamiltonian Matching for Symplectic Neural Integrators
P Canizares, D Murari, C-B Schönlieb, F Sherry, Z Shumaylov
(2024)
Lie Algebra Canonicalization: Equivariant Neural Operators under arbitrary Lie Groups
Z Shumaylov, P Zaika, J Rowbottom, F Sherry, M Weber, C-B Schönlieb
(2024)
AI models collapse when trained on recursively generated data.
I Shumailov, Z Shumaylov, Y Zhao, N Papernot, R Anderson, Y Gal
– Nature
(2024)
631,
755
Quantum initial conditions for curved inflating universes
MI Letey, Z Shumaylov, FJ Agocs, WJ Handley, MP Hobson, AN Lasenby
(2024)
Quantum initial conditions for curved inflating universes
MI Letey, Z Shumaylov, FJ Agocs, WJ Handley, MP Hobson, AN Lasenby
– Physical Review D
(2024)
109,
123502
Data-Driven Convex Regularizers for Inverse Problems
S Mukherjee, S Dittmer, Z Shumaylov, S Lunz, O Öktem, C-B Schönlieb
– ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
(2024)
00,
13386
Weakly Convex Regularisers for Inverse Problems: Convergence of Critical Points and Primal-Dual Optimisation
Z Shumaylov, J Budd, S Mukherjee, C-B Schönlieb
(2024)
Weakly Convex Regularisers for Inverse Problems: Convergence of Critical Points and Primal-Dual Optimisation
Z Shumaylov, J Budd, S Mukherjee, CB Schönlieb
– Proceedings of Machine Learning Research
(2024)
235,
45286
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Room

F1.14

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