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Reactive motion generation in dynamic and unstructured scenarios is typically subject to essentially static perception and system dynamics. Reliably modeling dynamic obstacles and optimizing collision-free trajectories under perceptive and…

Robotics · Computer Science 2026-02-19 Xiyuan Zhao , Huijun Li , Lifeng Zhu , Zhikai Wei , Xianyi Zhu , Aiguo Song

Reservoir computing is a best-in-class machine learning algorithm for processing information generated by dynamical systems using observed time-series data. Importantly, it requires very small training data sets, uses linear optimization,…

Machine Learning · Computer Science 2021-09-22 Daniel J. Gauthier , Erik Bollt , Aaron Griffith , Wendson A. S. Barbosa

Complex dynamical systems-such as climate, ecosystems, and economics-can undergo catastrophic and potentially irreversible regime changes, often triggered by environmental parameter drift and stochastic disturbances. These critical…

Machine Learning · Computer Science 2026-03-17 Xin Li , Qunxi Zhu , Chengli Zhao , Bolin Zhao , Xue Zhang , Xiaojun Duan , Wei Lin

We show that several machine learning estimators, including square-root LASSO (Least Absolute Shrinkage and Selection) and regularized logistic regression can be represented as solutions to distributionally robust optimization (DRO)…

Statistics Theory · Mathematics 2020-10-22 Jose Blanchet , Yang Kang , Karthyek Murthy

Deriving precise system dynamic models through traditional numerical methods is often a challenging endeavor. The performance of Model Predictive Control is heavily contingent on the accuracy of the system dynamic model. Consequently, this…

Systems and Control · Electrical Eng. & Systems 2023-11-14 Shuai Niu , Qing Sun , Minrui Fei , Xuqian Ju

We present a simple and scalable implementation of next-generation reservoir computing (NGRC) for modeling dynamical systems from time-series data. The method uses a pseudorandom nonlinear projection of time-delay embedded inputs, allowing…

Machine Learning · Statistics 2026-01-12 Rok Cestnik , Erik A. Martens

Recent research has demonstrated Reservoir Computing's capability to model various chaotic dynamical systems, yet its application to Hamiltonian systems remains relatively unexplored. This paper investigates the effectiveness of Reservoir…

Computational Engineering, Finance, and Science · Computer Science 2025-07-18 Abrari Noor Hasmi , Hadi Susanto

In this paper, we introduce Path Integral Networks (PI-Net), a recurrent network representation of the Path Integral optimal control algorithm. The network includes both system dynamics and cost models, used for optimal control based…

Artificial Intelligence · Computer Science 2017-06-30 Masashi Okada , Luca Rigazio , Takenobu Aoshima

Decentralized collision avoidance is a core challenge for scalable multi-robot systems. One of the promising approaches to tackle this problem is Model Predictive Path Integral (MPPI) -- a framework that naturally handles arbitrary motion…

Robotics · Computer Science 2026-03-04 Stepan Dergachev , Artem Pshenitsyn , Aleksandr Panov , Alexey Skrynnik , Konstantin Yakovlev

Reservoir computing is a recently introduced machine learning paradigm that has been shown to be well-suited for the processing of spatiotemporal data. Rather than training the network node connections and weights via backpropagation in…

Neural and Evolutionary Computing · Computer Science 2016-07-20 Ashley Prater

The Echo State Network (ESN) is a class of Recurrent Neural Network with a large number of hidden-hidden weights (in the so-called reservoir). Canonical ESN and its variations have recently received significant attention due to their…

Neural and Evolutionary Computing · Computer Science 2022-09-30 Sebastian Basterrech , Gerardo Rubino

Artificial intelligence (AI)-driven fault diagnosis in motor drives often requires significant computational efforts and time for re-training, in addition to the limited knowledge behind the model and suitability of training and learning…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Subham Sahoo , Huai Wang , Frede Blaabjerg

We propose the Automatic-differentiated Physics-Informed Echo State Network (API-ESN). The network is constrained by the physical equations through the reservoir's exact time-derivative, which is computed by automatic differentiation. As…

Machine Learning · Computer Science 2021-03-25 Alberto Racca , Luca Magri

Accurate prediction of complex and nonlinear time series remains a challenging problem across engineering and scientific disciplines. Reservoir computing (RC) offers a computationally efficient alternative to traditional deep learning by…

Machine Learning · Computer Science 2025-08-20 Charlotte Geier , Rasha Shanaz , Merten Stender

The goal of this paper is to investigate the theoretical properties, the training algorithm, and the predictive control applications of Echo State Networks (ESNs), a particular kind of Recurrent Neural Networks. First, a condition…

Systems and Control · Computer Science 2019-02-06 Luca Bugliari Armenio , Enrico Terzi , Marcello Farina , Riccardo Scattolini

Coupled networks of mass-spring resonators have attracted growing attention across multiple fundamental and applied research directions, including reservoir computing for artificial intelligence. This has led to the exploration of platforms…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Andrea Grimaldi , Davi R. Rodrigues , Andrea Meo , Francesca Garescì , Giovanni Finocchio

We study the optimal control of multiple-input and multiple-output dynamical systems via the design of neural network-based controllers with stability and output tracking guarantees. While neural network-based nonlinear controllers have…

Systems and Control · Electrical Eng. & Systems 2023-05-30 Wenqi Cui , Yan Jiang , Baosen Zhang , Yuanyuan Shi

Robust model predictive control (MPC) is a well-known control technique for model-based control with constraints and uncertainties. In classic robust tube-based MPC approaches, an open-loop control sequence is computed via periodically…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Xinglong Zhang , Jiahang Liu , Xin Xu , Shuyou Yu , Hong Chen

Reduced-order dynamical models play a central role in developing our understanding of predictability of climate irrespective of whether we are dealing with the actual climate system or surrogate climate-models. In this context, the…

Geophysics · Physics 2021-03-11 B. T. Nadiga

For many years, Evolutionary Algorithms (EAs) have been applied to improve Neural Networks (NNs) architectures. They have been used for solving different problems, such as training the networks (adjusting the weights), designing network…

Neural and Evolutionary Computing · Computer Science 2022-11-14 Sebastián Basterrech , Tarun Kumar Sharma