Inferring the dynamics of oscillatory systems using recurrent neural networks

04/04/2019
by   Rok Cestnik, et al.
0

We investigate the predictive power of recurrent neural networks for oscillatory systems not only on the attractor, but in its vicinity as well. For this we consider systems perturbed by an external force. This allows us to not merely predict the time evolution of the system, but also study its dynamical properties, such as bifurcations, dynamical response curves, characteristic exponents etc. It is shown that they can be effectively estimated even in some regions of the state space where no input data were given. We consider several different oscillatory examples, including self-sustained, excitatory, time-delay and chaotic systems. Furthermore, with a statistical analysis we assess the amount of training data required for effective inference for two common recurrent neural network cells, the long short-term memory and the gated recurrent unit.

READ FULL TEXT
research
04/05/2019

Short note on the behavior of recurrent neural network for noisy dynamical system

The behavior of recurrent neural network for the data-driven simulation ...
research
05/04/2022

DeepBayes – an estimator for parameter estimation in stochastic nonlinear dynamical models

Stochastic nonlinear dynamical systems are ubiquitous in modern, real-wo...
research
03/01/2022

Path sampling of recurrent neural networks by incorporating known physics

Recurrent neural networks have seen widespread use in modeling dynamical...
research
04/21/2021

Aedes-AI: Neural Network Models of Mosquito Abundance

We present artificial neural networks as a feasible replacement for a me...
research
01/05/2021

Recurrent Neural Networks for Stochastic Control Problems with Delay

Stochastic control problems with delay are challenging due to the path-d...
research
02/19/2023

Estimation and Early Prediction of Grip Force Based on sEMG Signals and Deep Recurrent Neural Networks

Hands are used for communicating with the surrounding environment and ha...
research
02/20/2018

On the Statistical Challenges of Echo State Networks and Some Potential Remedies

Echo state networks are powerful recurrent neural networks. However, the...

Please sign up or login with your details

Forgot password? Click here to reset