Abstract: System 2 Applied Mathematics

According to psychologist D. Kahneman (2002 Nobel prize winner in economics for the work on decision making under uncertainty) there are two modes/systems of thinking. System 1 operates automatically and quickly, like deep learning empowered by automatic differentiation.  System 2 allocates attention to the effortful mental activities, like building explainable heuristics in quantitative sciences.

In this talk we illustrate how applied mathematics is harnessing system 1 achievements of modern AI to build system 2 for quantitative sciences. Specifically, we discuss design, training and validation of the system 2 for

1)     Lagrangian Large Eddy Simulations of Turbulent Flows
     Physics Informed Machine Learning of Power Systems

3)     Graphical and Agent Based Models of epidemiological bursts