Speaker
Bert Kappen
Description
Fisher et al PNAS 2014 establish a theoretical framework for the
adaptive control of evolving populations. In particular, they connect the
idea of adaptive therapy to the paradigm of stochastic optimal control.
A stochastic treatment is necessary due to the nature of evolutionary
dynamics where fluctuations matter even in large populations. Their
heuristic solution they present is of the form of a bang-bang control. In
this presentation, I reformulate the problem as a path integral control
problem where a more exact treatment is possible. I will give an
introduction to stochastic differential equations and the path integral
control theory. Subsequently, I will outline how to compute the
adaptive optimal control by sampling.
Primary author
Bert Kappen
