90 citations · 967 across the 118 of their papers we have counts for
Showing 2019 · cs.NEShow all
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cs.NE2019★ 6 cited
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…
cs.NE2019★ 3 cited
Matrix Lie Maps and Neural Networks for Solving Differential Equations
Andrei Ivanov, Sergei Andrianov
The coincidence between polynomial neural networks and matrix Lie maps is discussed in the article. The matrix form of Lie transform is an approximation of the general solution of…