Robustness of LSTM neural networks for multi-step forecasting of chaotic time series

M Sangiorgio, F Dercole - Chaos, Solitons & Fractals, 2020 - Elsevier
Recurrent neurons (and in particular LSTM cells) demonstrated to be efficient when used as
basic blocks to build sequence to sequence architectures, which represent the state-of-the …

High-efficiency chaotic time series prediction based on time convolution neural network

W Cheng, Y Wang, Z Peng, X Ren, Y Shuai… - Chaos, Solitons & …, 2021 - Elsevier
The prediction of chaotic time series is important for both science and technology. In recent
years, this type of prediction has improved significantly with the development of deep …

[HTML][HTML] Forecasting of noisy chaotic systems with deep neural networks

M Sangiorgio, F Dercole, G Guariso - Chaos, Solitons & Fractals, 2021 - Elsevier
Recurrent neural networks have recently proved the state-of-the-art approach in forecasting
complex oscillatory time series on a multi-step horizon. Researchers in the field investigated …

Non-uniform attractor embedding for time series forecasting by fuzzy inference systems

M Ragulskis, K Lukoseviciute - Neurocomputing, 2009 - Elsevier
A new method for identification of an optimal set of time lags based on non-uniform attractor
embedding from the observed non-linear time series is proposed in this paper. Simple …

Long-term prediction of chaotic time series with multi-step prediction horizons by a neural network with Levenberg–Marquardt learning algorithm

H Mirzaee - Chaos, Solitons & Fractals, 2009 - Elsevier
The Levenberg–Marquardt learning algorithm is applied for training a multilayer perception
with three hidden layer each with ten neurons in order to carefully map the structure of …

A nonintrusive hybrid neural-physics modeling of incomplete dynamical systems: Lorenz equations

S Pawar, O San, A Rasheed, IM Navon - GEM-International Journal on …, 2021 - Springer
This work presents a hybrid modeling approach to data-driven learning and representation
of unknown physical processes and closure parameterizations. These hybrid models are …

Dynamic adaptive graph convolutional transformer with broad learning system for multi-dimensional chaotic time series prediction

L Xiong, L Su, X Wang, C Pan - Applied Soft Computing, 2024 - Elsevier
Chaotic time series data is extensively applied in financial stocks, climate monitoring, and
sea clutter, in which data fusion from various sources and multi-sensor information make …

Linear combination rule in genetic algorithm for optimization of finite impulse response neural network to predict natural chaotic time series

H Mirzaee - Chaos, Solitons & Fractals, 2009 - Elsevier
A finite impulse response neural network, with tap delay lines after each neuron in hidden
layer, is used. Genetic algorithm with arithmetic decimal crossover and Roulette selection …

Introduction to Chaotic Dynamics' Forecasting

M Sangiorgio, F Dercole, G Guariso - … Learning in Multi-step Prediction of …, 2022 - Springer
Chaotic dynamics are the paradigm of complex and unpredictable evolution due to their built-
in feature of amplifying arbitrarily small perturbations. The forecasting of these dynamics has …

Annealed cooperative–competitive learning of Mahalanobis-NRBF neural modules for nonlinear and chaotic differential function approximation

JM Wu, CC Wu, CW Huang - Neurocomputing, 2014 - Elsevier
This work explores annealed cooperative–competitive learning of multiple modules of
Mahalanobis normalized radial basis functions (NRBF) with applications to nonlinear …