3 papers
math.NA2025
Subspace-Distance-Enabled Active Learning for Efficient Data-Driven Model Reduction of Parametric Dynamical Systems
Harshit Kapadia, Peter Benner, Lihong Feng
In situations where the solution of a high-fidelity dynamical system needs to be evaluated repeatedly, over a vast pool of parametric configurations and in absence of access to the…
math.OC2025
Iterative approximations of periodic trajectories for nonlinear systems with discontinuous inputs
Alexander Zuyev, Peter Benner
Nonlinear control-affine systems described by ordinary differential equations with bounded measurable input functions are considered. The solvability of general boundary value prob…
cs.LG2025
Spatially-Enhanced Temporal Fusion Transformer: Interpretable Multi-Output Prediction for Parametric Dynamical Systems with Time-Varying Inputs
Shuwen Sun, Lihong Feng, Peter Benner
We explore the promising performance of a transformer model in predicting outputs of parametric dynamical systems with external time-varying input signals. The outputs of such syst…