Professor David Leslie
Professor of StatisticsProfile
I am a Professor of Statistical Learning, and Director of Engagement, in the Department of Mathematics and Statistics at Lancaster University. I research statistical learning, decision-making, and game theory. My research on bandit algorithms is used by many of the world's largest companies to balance exploration and exploitation in real time website optimisation. I led the EPSRC/NERC-funded Data Science of the Natural Environment (DSNE) project at Lancaster University, and was a member of the NG-CDI project, funded by an EPSRC Prosperity Partnership with BT. Prior to my position at Lancaster, I was a senior lecturer in the statistics group of the School of Mathematics, University of Bristol, where I was co-director of the EPSRC-funded cross-disciplinary decision-making research group at the University of Bristol. I was also a partner in the ALADDIN project, a large strategic partnership between BAE Systems and EPSRC, and involving researchers from Imperial College, Southampton, Oxford, Bristol and BAE Systems.
Research Interests
- statistical learning
- decision-making
- game theory, particularly learning in games
- reinforcement learning
- stochastic approximation
External Roles
I am a member of the Scientific Board of the Smith Institute.
I am currently an external examiner for Edinburgh University and Imperial College London. Previously I was an external examiner at the University of Kent at Canterbury and the University of Leicester.
I have held numerous roles at the Royal Statistical Society. These include elected Council member, member of the long term strategy group, member of the Academic Affairs Advisory Group, and chair of the Applied Probability Section, and member of the Research Section Committee.
I have served on the programme committee of the London Mathematical Society.
I was a member of the Review into Knowledge Exchange in the Mathematical Sciences (aka the Bond Review) and the subsequent Council for the Mathematical Sciences exploration into the establishment of an Academy of Mathematical Sciences.
PhD Supervisions Completed
I have had the privilege to supervise some great students. The following have finished and moved on:
- Archie Chapman
- Michalis Smyrnakis
- Harriet Mills
- Ben May
- Steve Perkins
- Kevin Lloyd
- Matthew Arnold
- Simon Smith
- Adnane Ez-zizi
- Beki Floyd
- Hannah Julienne
- James Edwards
- Chris Sherfield
- Simon Smith
- Ciara Pike-Burke
- James Grant
- Henry Moss
- Tom Pinder
- Anja Stein
I am always on the lookout for the next good research student. However, note that it is essentially impossible for me to find financial support for students from outside the EU.
PhD Supervision Interests
Bandits in real systems Multi-armed bandit theory [https://en.wikipedia.org/wiki/Multi-armed_bandit] is extremely well-studied in situations where there is a very direct link between actions and rewards. However in many situations where we may wish to deploy these techniques, the choice of an action leads to outcomes in a complex and partially-understood way. For example, choosing the price of a finitely-available product for the following day will result in a semi-predictable sales pattern, and consequent amount of stock left at the end of the day. And choosing some hyper-parameters of a learning method for a period of time will result in a semi-predictable performance improvement of the method. This project will develop techniques for such problems, where there is a (semi-)parameterised model of the world, and sequential decisions must be taken to simultaneously learn the model and optimise outcomes.
Selected Publications
A Two-Timescale Learning Automata Solution to the Nonlinear Stochastic Proportional Polling Problem
Yazidi, A., Hammer, H., Leslie, D. 17/09/2024 In: IEEE Transactions on Systems, Man, and Cybernetics: Systems. 12 p.
Journal article
Learning to Rank under Multinomial Logit Choice
Grant, J.A., Leslie, D.S. 7/09/2020 In: arXiv.org.
Journal article
GIBBON: General-purpose Information-Based Bayesian Optimisation
Moss, H.B., Leslie, D.S., Gonzalez, J., Rayson, P. 8/10/2021 In: Journal of Machine Learning Research. 22, 235, p. 1-49. 49 p.
Journal article
Decentralized Q-learning in Zero-sum Markov Games
Sayin, M.O., Zhang, K., Leslie, D., Basar, T., Ozdaglar, A. 6/12/2021
Conference paper
Bandit learning in concave N-player games
Bravo, M., Leslie, D.S., Mertikopoulos, P. 2/12/2018
Conference contribution/Paper
Optimistic Bayesian sampling in contextual-bandit problems
May, B.C., Korda, N., Lee, A., Leslie, D.S. 06/2012 In: Journal of Machine Learning Research. 13, p. 2069-2106. 37 p.
Journal article
All Publications
STOR-i: AI-driven drifter placement - Ruiyang Zhang
01/10/2024 → 30/09/2027
Research
PDRA: AI Hub
01/04/2024 → 31/03/2025
Research
ProbAI: A Hub for the Mathematical & Computational Foundations of Probabilistic AI
01/02/2024 → 31/01/2029
Research
LMS Research School on Rigidity, Flexibility and Applications
18/07/2022 → 22/07/2022
Research
STOR-i: ARC TIDE 1 (inspection regime optimisation)
01/10/2021 → 30/09/2024
Research
Future Places: A Digital Economy Centre on Understanding Place Through Pervasive Computing
01/10/2020 → 30/09/2025
Research
DSI: Research supervision for Prowler.io - contract renewal
01/03/2019 → 29/02/2020
Research
STOR-i : Detailed Telematics Data Analysis
01/10/2018 → 31/03/2022
Research
DSI: Data Science of the Natural Environment
16/04/2018 → 15/04/2024
Research
DSI : Contextual Bandits for Retail Pricing
01/03/2017 → 31/12/2018
Research
Parliamentary Links Day (Event)
Member of Advisory Panel
Statistical Artificial Intelligence
Extreme Value Theory
STOR-i Centre for Doctoral Training
Statistical Artificial Intelligence
Statistical Artificial Intelligence, STOR-i Centre for Doctoral Training
STOR-i Centre for Doctoral Training
- DSI - Foundations
- Statistical Artificial Intelligence
- STOR-i Centre for Doctoral Training