131 citations · 213 across the 4 of their papers we have counts for
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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…
cs.NE2018★ 1 cited
Lie Transform--based Neural Networks for Dynamics Simulation and Learning
Andrei Ivanov, Alena Sholokhova, Sergei Andrianov +1
In the article, we discuss the architecture of the polynomial neural network that corresponds to the matrix representation of Lie transform. The matrix form of Lie transform is an…