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Faculty of Mathematics

 

I am a PhD student under supervision of Professor Carola Schönlieb at the Cambridge Image Analysis Group within DAMTP. I am also a member of the Cantab Capital Institute for the Mathematics of Information and the Maths4DL programme.

I am generally interested in applied mathematics, specifically problems arising at the intersection of optimization, deep learning, geometry, and inverse problems.

Publications

When is a System Discoverable from Data? Discovery Requires Chaos
Z Shumaylov, P Zaika, P Scholl, G Kutyniok, L Horesh, C-B Schönlieb
(2025)
On Information Geometry and Iterative Optimization in Model Compression: Operator Factorization
Z Shumaylov, V Tsiaras, Y Stylianou
(2025)
Data-driven approaches to inverse problems
C-B Schönlieb, Z Shumaylov
(2025)
Author Correction: AI models collapse when trained on recursively generated data.
I Shumailov, Z Shumaylov, Y Zhao, N Papernot, R Anderson, Y Gal
– Nature
(2025)
640,
E6
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
Score-based Pullback Riemannian Geometry: Extracting the Data Manifold Geometry using Anisotropic Flows
W Diepeveen, G Batzolis, Z Shumaylov, CB Schönlieb
– Proceedings of Machine Learning Research
(2025)
267,
13746
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
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Research Group

Mathematics of Information (Applied)

Room

F0.01

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