Boris Baros
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
TA (2024/25):
- Information Theory
- Advanced Monte Carlo Methods
- Mathematical Models for Financial Derivatives
Funded by the Industrial CASE Scholarship, in assocation with the National Air Traffic Service.
Primarily funded by the National Air Traffic Service (NATS), my DPhil surrounds investigating techniques for optimising air-traffic control in the NATS transatlantic operations, specifically flight-path planning. Such a spatiotemporal stochastic control problem is inherently high-dimensional and entails intractably large state spaces, not to mention the difficulties involved in modelling such environments. Noting then the practical considerations of needing interpretable flight-path instructions and the lack of training time-series data available, traditional methods and results don't seem to apply.
The beginnings of my research aim to address how we might approach such problems in generality, starting with mean-field analysis of neural network parametrised feedback controls for entropy-regularised empirical loss minimisation. Doing so will provide much-needed theoretical guarantees - arguably important in air traffic control, where the price of error can be unaffordably high.