Physical principles of brain–computer interfaces and their applications for rehabilitation, robotics and control of human brain states

AE Hramov, VA Maksimenko, AN Pisarchik - Physics Reports, 2021 - Elsevier
Brain–computer interfaces (BCIs) development is closely related to physics. In this paper, we
review the physical principles of BCIs, and underlying novel approaches for registration …

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 …

[HTML][HTML] Reservoir computing as digital twins for nonlinear dynamical systems

LW Kong, Y Weng, B Glaz, M Haile… - Chaos: An Interdisciplinary …, 2023 - pubs.aip.org
We articulate the design imperatives for machine learning based digital twins for nonlinear
dynamical systems, which can be used to monitor the “health” of the system and anticipate …

Long-term prediction of chaotic systems with machine learning

H Fan, J Jiang, C Zhang, X Wang, YC Lai - Physical Review Research, 2020 - APS
Reservoir computing systems, a class of recurrent neural networks, have recently been
exploited for model-free, data-based prediction of the state evolution of a variety of chaotic …

Machine learning prediction of critical transition and system collapse

LW Kong, HW Fan, C Grebogi, YC Lai - Physical Review Research, 2021 - APS
To predict a critical transition due to parameter drift without relying on a model is an
outstanding problem in nonlinear dynamics and applied fields. A closely related problem is …

Model-free prediction of spatiotemporal dynamical systems with recurrent neural networks: Role of network spectral radius

J Jiang, YC Lai - Physical review research, 2019 - APS
A common difficulty in applications of machine learning is the lack of any general principle
for guiding the choices of key parameters of the underlying neural network. Focusing on a …

Anticipating synchronization with machine learning

H Fan, LW Kong, YC Lai, X Wang - Physical Review Research, 2021 - APS
In realistic systems of coupled oscillators, it is desired to predict the onset of synchronization
where the system equations are unknown, raising the need to develop a prediction …

Machine learning approach reveals strong link between obliquity amplitude increase and the Mid-Brunhes transition

T Mitsui, N Boers - Quaternary Science Reviews, 2022 - Elsevier
Abstract The Mid-Brunhes Transition (MBT) refers to the change in the amplitude of glacial-
interglacial cycles around 430 ka BP, with more pronounced, warmer interglacials after ca …

Predicting amplitude death with machine learning

R Xiao, LW Kong, ZK Sun, YC Lai - Physical Review E, 2021 - APS
In nonlinear dynamics, a parameter drift can lead to a sudden and complete cessation of the
oscillations of the state variables—the phenomenon of amplitude death. The underlying …

Reservoir computing on epidemic spreading: A case study on COVID-19 cases

S Ghosh, A Senapati, A Mishra, J Chattopadhyay… - Physical Review E, 2021 - APS
A reservoir computing based echo state network (ESN) is used here for the purpose of
predicting the spread of a disease. The current infection trends of a disease in some …