Kinetic Monte Carlo (kMC) simulations are a popular tool
to investigate
the dynamic behavior of stochastic systems. However, one major limitation
is their relatively high computational costs. In the last three decades,
significant effort has been put into developing methodologies to make
kMC more efficient, resulting in an enhanced runtime efficiency. Nevertheless,
kMC models remain computationally expensive. This is in particular
an issue in complex systems with several unknown input parameters
where often most of the simulation time is required for finding a
suitable parametrization. A potential route for automating the parametrization
of kinetic Monte Carlo models arises from coupling kMC with a data-driven
approach. In this work, we equip kinetic Monte Carlo simulations with
a feedback loop consisting of Gaussian Processes (GPs) and Bayesian
optimization (BO) to enable a systematic and data-efficient input
parametrization. We utilize the results from fast-converging kMC simulations
to construct a database for training a cheap-to-evaluate surrogate
model based on Gaussian processes. Combining the surrogate model with
a system-specific acquisition function enables us to apply Bayesian
optimization for the guided prediction of suitable input parameters.
Thus, the amount of trial simulation runs can be considerably reduced
facilitating an efficient utilization of arbitrary kMC models. We
showcase the effectiveness of our methodology for a physical process
of growing industrial relevance: the space-charge layer formation
in solid-state electrolytes as it occurs in all-solid-state batteries.
Our data-driven approach requires only 1–2 iterations to reconstruct
the input parameters from different baseline simulations within the
training data set. Moreover, we show that the methodology is even
capable of accurately extrapolating into regions outside the training
data set which are computationally expensive for direct kMC simulation.
Concluding, we demonstrate the high accuracy of the underlying surrogate
model via a full parameter space investigation eventually making the
original kMC simulation obsolete.