6 citations · 6 across the 2 of their papers we have counts for
3 papers
math-ph2019
Rational solutions of (1+1)-dimensional Burgers equation and their asymptotic
V. I. Avrutskiy, V. P. Krainov
A special initial condition for (1+1)-dimensional Burgers equation is considered. It allows to obtain new analytical solutions for an arbitrary low viscosity as well as for the inv…
cs.NE2018
Avoiding overfitting of multilayer perceptrons by training derivatives
V. I. Avrutskiy
Resistance to overfitting is observed for neural networks trained with extended backpropagation algorithm. In addition to target values, its cost function uses derivatives of those…
cs.NE2017★ 6 cited
Backpropagation generalized for output derivatives
V. I. Avrutskiy
Backpropagation algorithm is the cornerstone for neural network analysis. Paper extends it for training any derivatives of neural network's output with respect to its input. By the…