Hefin Lambley
I am a third-year PhD student at the Mathematics Institute, supervised by Tim Sullivan.
Research interests: inverse problems • nonparametric statistics • machine learning.
Preprints
[p2] I. Klebanov, H. Lambley and T. J. Sullivan (2025). Classification of small-ball modes and maximum a posteriori estimators. arXiv:2306.16278
[pdf]
[p1] J. Bunker, M. Girolami, H. Lambley, A. M. Stuart and T. J. Sullivan (2024). Autoencoders in function space. arXiv:2408.01362
[pdf] [code]
Publications
[2] H. Lambley (2023). Strong maximum a posteriori estimation in Banach spaces with Gaussian priors. Inverse Probl. 39.12, 125010, doi:10.1088/1361-6420/ad07a4
[pdf]
[1] H. Lambley and T. J. Sullivan (2023). An order-theoretic perspective on modes and maximum a posteriori estimation in Bayesian inverse problems. SIAM/ASA J. Uncertainty Quantif. 11.4, pp. 1195–1224, doi:10.1137/22M154243X
[pdf] [supplement]
Talks, conferences, and posters
- 8–11 September 2025. Autoencoders in function space. Talk, 2nd Workshop on Machine Learning in Infinite Dimensions, ETH Zürich, Switzerland.
- 23–26 June 2025. Autoencoders in function space. Talk, British Applied Mathematics Colloquium, University of Exeter, UK.
[slides] - 20 June 2025. Autoencoders in function space. Talk, Applied Mathematics seminar, University of Warwick, UK.
[slides] - 20–25 April 2025. Autoencoders in function space. Talk, Workshop on Uncertainty Quantification, Mathematisches Forschungsinstitut Oberwolfach, Germany.
[slides] - 25 September 2024. Autoencoders in function space. Poster, Cambridge Centre for Smart Infrastructure and Construction, University of Cambridge, UK.
- 5 August 2024. Autoencoders in function space. Poster, Workshop on Machine Learning in Infinite Dimensions, University of Bath, UK.
- 13 June 2024. Most likely points of probability measures. Talk, Analysis seminar, University of Augsburg, Germany.
- 5 December 2023. Strong maximum a posteriori estimation in Bayesian inverse problems. Talk, A seminar on the MAP, online.
[slides]
Education
- 2018–2022. Mathematics (MMath), University of Warwick. Class I.
- Master's dissertation: An order-theoretic perspective on modes and maximum a posteriori estimation in Bayesian inverse problems. [pdf]
Teaching
2024–2025. Teaching assistant for ES98A Fundamentals of Predictive Modelling and MA3H7 Control Theory.
2023–2024. Teaching assistant for ES98A Fundamentals of Predictive Modelling, MA264 Mathematical Methods and Modelling 3 and MA3H7 Control Theory.
2022–2023. Teaching assistant for MA133 Differential Equations.
2021–2022. Supervision of ~10 MORSE undergraduate students.
Other
2025. Organiser for the Machine Learning reading group (joint with Marc Truter).
2024–2025. Organiser for the Junior Analysis and Probability Seminar (joint with Grega Saksida, Phoebe Valentine, and Pietro Wald).
