2 papers
math.OC2022
Realization Theory Of Recurrent Neural ODEs Using Polynomial System Embeddings
Martin Gonzalez, Thibault Defourneau, Hatem Hajri +1
In this paper we show that neural ODE analogs of recurrent (ODE-RNN) and Long Short-Term Memory (ODE-LSTM) networks can be algorithmically embeddeded into the class of polynomial s…
math.OC2019
Realization theory of recurrent neural networks and rational systems
Thibault Defourneau, Mihaly Petreczky
In this paper, we show that, under mild assumptions, input-output behavior of a continous-time recurrent neural network (RNN) can be represented by a rational or polynomial nonline…