From chaos to clarity: reliable data-driven analysis of dynamical systems. Unpredictable systems such as weather and climate often exhibit patterns, like El Niño, which can have devastating impacts. T

Description

From chaos to clarity: reliable data-driven analysis of dynamical systems. Unpredictable systems such as weather and climate often exhibit patterns, like El Niño, which can have devastating impacts. The project aims to revolutionise our ability to reliably use past observations to forecast and uncover hidden patterns in systems. It will use innovative mathematics to investigate new data-driven algorithms that have quickly become very popular but are poorly understood. This will reveal the mathematical structure behind the success or failure of these algorithms. Expected outcomes include rigorous tests and guidelines for the valid use of pattern-finding algorithms, with application to critical problems, including predicting heatwaves under climate change, and optimising the effect of turbulence in aircraft design.. Scheme: Discovery Early Career Researcher Award. Field: 4904 - Pure Mathematics. Lead: Dr Caroline Wormell