arXiv Machine Learning By Masahisa Watanabe, Shiva Dixit, Nirmal Punetha, Swati Chauhan, Manish Dev Shirimali

Prediction of Nonlinear Oscillations in a Jumping Quarter-Car Model Using Reservoir Computing

Read the original on arXiv Machine Learning →

The paper investigates using reservoir computing, specifically an echo state network, to predict nonlinear dynamics in a jumping quarter‑car model. By training on limited time‑series data, the network can reconstruct bifurcation diagrams, phase‑space attractors, and time trajectories across both periodic and chaotic regimes, reproducing the period‑doubling route to chaos. These findings show that reservoir computing can serve as a data‑driven predictor for nonlinear, non‑smooth vehicle dynamics.

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arXiv Machine Learning
Jul 28

Frequency-Based Reservoir computing

arXiv:2607. 24420v1 Announce Type: cross Abstract: Reservoir computing has emerged as an efficient machine learning framework for predicting time series generated by dynamical systems.

By Arthur S Powanwe
arXiv AI
Sep 10

Adaptive Nonlinear Vector Autoregression: Robust Forecasting for Noisy Chaotic Time Series

The paper introduces a data‑adaptive nonlinear vector autoregression (NVAR) model that replaces fixed polynomial or random feature maps with a shallow, trainable multilayer perceptron (MLP). By jointly training the MLP and a linear readout via gradient‑based optimization, the model learns data‑driven nonlinearities while maintaining a simple readout structure, improving scalability in high‑dimensional settings. Experiments on several chaotic systems, both noise‑free and synthetically noisy, show that this adaptive NVAR outperforms standard NVAR, a leaky echo state network (ESN), and a hybrid ESN in predictive accuracy, demonstrating robust forecasting under noisy conditions.

By Sherkhon Azimov, Susana Lopez-Moreno, Eric Dolores-Cuenca, Sieun Lee, Jae-Il Kwon, Sangil Kim