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]
Conferences, talks and posters
- (upcoming) 23–26 Jun 2025. British Applied Mathematics Colloquium, University of Exeter, UK.
- (upcoming) 20 Jun 2025. Talk at the Applied Mathematics seminar, University of Warwick, UK.
- (upcoming) 20–25 Apr 2025. Invited participant at the Uncertainty Quantification workshop, Mathematisches Forschungsinstitut Oberwolfach, Germany.
- 25 Sep 2024: Autoencoders in function space. Poster at Cambridge Centre for Smart Infrastructure and Construction, Cambridge, UK (jointly presented with Justin Bunker).
- 5 Aug 2024: Autoencoders in function space. Poster at Machine Learning in Infinite Dimensions, University of Bath, UK (jointly presented with Justin Bunker).
- 13 Jun 2024: Most likely points of probability measures. Talk at the Analysis seminar, University of Augsburg, Germany.
- 5 Dec 2023: Strong maximum a posteriori estimation in Bayesian inverse problems. Talk online at A seminar on the MAP. [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).
