Machine learning with data assimilation and uncertainty quantification for dynamical systems: a review

S Cheng, C Quilodrán-Casas, S Ouala… - IEEE/CAA Journal of …, 2023 - ieeexplore.ieee.org
Data assimilation (DA) and uncertainty quantification (UQ) are extensively used in analysing
and reducing error propagation in high-dimensional spatial-temporal dynamics. Typical …

An improved Wavenet network for multi-step-ahead wind energy forecasting

Y Wang, T Chen, S Zhou, F Zhang, R Zou… - Energy Conversion and …, 2023 - Elsevier
Accurate multi-step-ahead wind speed (WS) and wind power (WP) forecasting are critical to
the scheduling, planning, and maintenance of wind farms. Previous forecasting methods …

Further results on fixed/preassigned-time projective lag synchronization control of hybrid inertial neural networks with time delays

G Zhang, J Cao, A Kashkynbayev - Journal of the Franklin Institute, 2023 - Elsevier
This article aims to study fixed-time projective lag synchronization (FXPLS) and preassigned-
time projective lag synchronization (PTPLS) of hybrid inertial neural networks (HINNs) with …

What is the best RNN-cell structure to forecast each time series behavior?

R Khaldi, A El Afia, R Chiheb, S Tabik - Expert Systems with Applications, 2023 - Elsevier
It is unquestionable that time series forecasting is of paramount importance in many fields.
The most used machine learning models to address time series forecasting tasks are …

Chaotic time series prediction of nonlinear systems based on various neural network models

Y Sun, L Zhang, M Yao - Chaos, Solitons & Fractals, 2023 - Elsevier
This paper discusses the chaos prediction of nonlinear systems using various neural
networks based on the modified substructure data-driven modeling architecture. In the …

Benchmarking sparse system identification with low-dimensional chaos

AA Kaptanoglu, L Zhang, ZG Nicolaou, U Fasel… - Nonlinear …, 2023 - Springer
Sparse system identification is the data-driven process of obtaining parsimonious differential
equations that describe the evolution of a dynamical system, balancing model complexity …

Direct approach on fixed-time stabilization and projective synchronization of inertial neural networks with mixed delays

J Han, G Chen, L Wang, G Zhang, J Hu - Neurocomputing, 2023 - Elsevier
This article mainly addresses the problems of fixed-time stabilization (FTS) and fixed-time
projective synchronization (FTPS) for the chaotic inertial neural networks (INNs) with mixed …

Emergence of a resonance in machine learning

ZM Zhai, LW Kong, YC Lai - Physical Review Research, 2023 - APS
The benefits of noise to applications of nonlinear dynamical systems through mechanisms
such as stochastic and coherence resonances have been well documented. Recent years …

Significant wave height prediction based on the local-EMD-WaveNet model

T Lv, A Tao, Z Zhang, S Qin, G Wang - Ocean Engineering, 2023 - Elsevier
This research constructed the innovative Local-EMD-WaveNet, a multi-channel neural
network model, specifically designed for the prediction of significant wave height (SWH) at a …

Exploring diverse trajectory patterns in nonlinear dynamic systems

A Lampartová, M Lampart - Chaos, Solitons & Fractals, 2024 - Elsevier
Describing the dynamical properties of explored systems, one finds the need to distinguish
between various types of trajectories. The nature of trajectories is often split into regular and …