Projects

Things I've built.

Flapping flyers in formation

MMSC case study in mathematical modelling

A model of flapping flyers that interact only through the wakes they leave behind, used to study when a formation holds together and how much energy it saves.

Image Colourisation

MMSC case study in scientific computing

Reconstructing greyscale images using kernel ridge regression in a Reproducing Kernel Hilbert Space from points of full colour information.

Optimising IVF drug dosing

MMSC special topic in mathematical physiology

A differential equation model of the hormones behind ovarian stimulation in in vitro fertilisation (IVF), used to find a low cost FSH dosing schedule that still produces mature follicles.

The Silver Stepsize Schedule

MMSC special topic in optimisation for data science

A numerical investigation of a recent gradient descent method that mixes short and long steps in a fractal pattern to converge faster than any constant step, with an extension to arbitrary step budgets.