142 citations · 456 across the 24 of their papers we have counts for
24 papers
Dynamical System Identification, Model Selection and Model Uncertainty Quantification by Bayesian Inference
Robert K. Niven, Laurent Cordier, Ali Mohammad-Djafari +2
This study presents a Bayesian maximum \textit{a~posteriori} (MAP) framework for dynamical system identification from time-series data. This is shown to be equivalent to a generali…
Dimensionless Groups by Entropic Similarity
Robert K. Niven
We propose an additional category of dimensionless groups based on the principle of {\it entropic similarity}, defined by ratios of (i) entropy production terms; (ii) entropy flow…
New Classes of Conservation Laws Based on Generalized Fluid Densities and Reynolds Transport Theorems
Robert K. Niven
The Reynolds transport theorem occupies a central place in fluid dynamics, providing a generalized integral conservation equation for the transport of any conserved quantity within…
Rethinking the Reynolds Transport Theorem, Liouville Equation, and Perron-Frobenius and Koopman Operators
Robert K. Niven, Laurent Cordier, Eurika Kaiser +2
The Reynolds transport theorem provides a generalized conservation law for the transport of a conserved quantity by fluid flow through a continuous connected control volume. It is…
Learning Optimal Control of Synchronization in Networks of Coupled Oscillators using Genetic Programming-based Symbolic Regression
Julien Gout, Markus Quade, Kamran Shafi +2
Networks of coupled dynamical systems provide a powerful way to model systems with enormously complex dynamics, such as the human brain. Control of synchronization in such networke…
Prediction of Dynamical Systems by Symbolic Regression
Markus Quade, Markus Abel, Kamran Shafi +2
We study the modeling and prediction of dynamical systems based on conventional models derived from measurements. Such algorithms are highly desirable in situations where the under…