no code implementations • 30 Jan 2024 • Robert K. Niven, Laurent Cordier, Ali Mohammad-Djafari, Markus Abel, Markus Quade
For multivariate Gaussian likelihood and prior distributions, the Bayesian formulation gives Gaussian posterior and evidence distributions, in which the numerator terms can be expressed in terms of the Mahalanobis distance or ``Gaussian norm'' $||\vy-\hat{\vy}||^2_{M^{-1}} = (\vy-\hat{\vy})^\top {M^{-1}} (\vy-\hat{\vy})$, where $\vy$ is a vector variable, $\hat{\vy}$ is its estimator and $M$ is the covariance matrix.
2 code implementations • 17 Apr 2020 • Brian M. de Silva, Kathleen Champion, Markus Quade, Jean-Christophe Loiseau, J. Nathan Kutz, Steven L. Brunton
PySINDy is a Python package for the discovery of governing dynamical systems models from data.
Dynamical Systems Computational Physics
no code implementations • 23 Jan 2020 • Markus Quade, Thomas Isele, Markus Abel
Recently, the term explainable AI became known as an approach to produce models from artificial intelligence which allow interpretation.
1 code implementation • 13 Mar 2018 • Markus Quade, Julien Gout, Markus Abel
For experimentalists, glyph-remote provides a separation of tasks: a ZeroMQ interface splits the genetic programming optimization task from the evaluation of an experimental (or numerical) run.
no code implementations • 15 Dec 2016 • Julien Gout, Markus Quade, Kamran Shafi, Robert K. Niven, Markus Abel
In this paper, we formulate the synchronization control in dynamical systems as an optimization problem and present a multi-objective genetic programming-based approach to infer optimal control functions that drive the system from a synchronized to a non-synchronized state and vice-versa.