2 papers
cs.NE2020
Physics-based polynomial neural networks for one-shot learning of dynamical systems from one or a few samples
Andrei Ivanov, Uwe Iben, Anna Golovkina
This paper discusses an approach for incorporating prior physical knowledge into the neural network to improve data efficiency and the generalization of predictive models. If the d…
cs.NE2019
Polynomial Neural Networks and Taylor maps for Dynamical Systems Simulation and Learning
Andrei Ivanov, Anna Golovkina, Uwe Iben
The connection of Taylor maps and polynomial neural networks (PNN) to solve ordinary differential equations (ODEs) numerically is considered. Having the system of ODEs, it is possi…