"Chaos theory -the qualitative study of unstable aperiodic behavior in deterministic nonlinear dynamical systems" - Stephen Kellert
That definition of chaos theory is all-inclusive, yet in a world before ML, it would be hard to model using simple linear regression techniques. ML is helpful because it can address the characteristics of chaotic systems. It also helps define the type of ML necessary to employ when faced with a chaotic system. Foremost, ML learning can address nonlinear relationships. All neural network ML can address nonlinear relationships. ML can also work with dynamic systems that have strong cross-asset relationships. ML can also address aperiodic behavior by examining time-series relationships using techniques such as long short-term memory (LSTM) recurrent neural networks (RNNs). What takes more work is dealing with unstable systems that change over time. This requires ML models that are compact and can be retrained regularly.



