3 papers
math.DS2026
Surrogate modeling for convection-dominated parametric problems based on error learning
Lihong Feng, Ali Hassan, Shuwen Sun
Convection-dominated problems are known for their slow Kolmogorov -width decays and are challenging for model order reduction (MOR). In this work, we propose a hybrid surrogate…
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…
cs.LG2024
Data-Augmented Predictive Deep Neural Network: Enhancing the extrapolation capabilities of non-intrusive surrogate models
Shuwen Sun, Lihong Feng, Peter Benner
Numerically solving a large parametric nonlinear dynamical system is challenging due to its high complexity and the high computational costs. In recent years, machine-learning-aide…