2 citations · 5 across the 8 of their papers we have counts for
4 papers · 1 filter
Discrete empirical interpolation in the tensor t-product framework
Sridhar Chellappa, Lihong Feng, Peter Benner
The discrete empirical interpolation method (DEIM) is a well-established approach, widely used for state reconstruction using sparse sensor/measurement data, nonlinear model reduct…
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…
Estimates of the Kolmogorov n-width for nonlinear transformations with application to distributed-parameter control systems
Alexander Zuyev, Lihong Feng, Peter Benner
This paper aims at characterizing the approximability of bounded sets in the range of nonlinear operators in Banach spaces by finite-dimensional linear varieties. In particular, th…
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…