4 papers · 1 filter
Mathematical description of continuous time and space replicator-mutator equations for quadratic fitness landscapes
Sahani Pathiraja, Philipp Wacker
The replicator-mutator equation is a model for populations of individuals carrying different traits, with a fitness function mediating their ability to replicate, and a stochastic…
Connections between sequential Bayesian inference and evolutionary dynamics
Sahani Pathiraja, Philipp Wacker
It has long been posited that there is a connection between the dynamical equations describing evolutionary processes in biology and sequential Bayesian learning methods. This manu…
How to survive the Squid Games using probability theory
Elena Moltchanova, Miguel Moyers-González, Geertrui Van de Voorde +2
In this paper, we consider how probability theory can be used to determine the survival strategy in two of the ``Squid Game" and ``Squid Game: The Challenge" challenges: the Hopsco…
Perspectives on locally weighted ensemble Kalman methods
Philipp Wacker
This manuscript derives locally weighted ensemble Kalman methods from the point of view of ensemble-based function approximation. This is done by using pointwise evaluations to bui…