4 papers
Causal Structure Learning for Dynamical Systems with Theoretical Score Analysis
Nicholas Tagliapietra, Katharina Ensinger, Christoph Zimmer +1
Real world systems evolve in continuous-time according to their underlying causal relationships, yet their dynamics are often unknown. Existing approaches to learning such dynamics…
Gautschi-type and implicit-explicit integrators for constrained wave equations
R. Altmann, B. Dörich, C. Zimmer
This paper deals with the construction and analysis of two integrators for (semi-linear) second-order partial differential-algebraic equations of semi-explicit type. More precisely…
Safe Active Learning for Gaussian Differential Equations
Leon Glass, Katharina Ensinger, Christoph Zimmer
Gaussian Process differential equations (GPODE) have recently gained momentum due to their ability to capture dynamics behavior of systems and also represent uncertainty in predict…
Batch Active Learning in Gaussian Process Regression using Derivatives
Hon Sum Alec Yu, Christoph Zimmer, Duy Nguyen-Tuong
We investigate the use of derivative information for Batch Active Learning in Gaussian Process regression models. The proposed approach employs the predictive covariance matrix for…