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The applicability of machine learning for predicting chaotic dynamics relies heavily upon the data used in the training stage. Chaotic time series obtained by numerically solving ordinary differential equations embed a complicated noise of…

Data Analysis, Statistics and Probability · Physics 2021-10-13 Igor A Khovanov

We propose a novel molecular computing approach based on reservoir computing. In reservoir computing, a dynamical core, called a reservoir, is perturbed with an external input signal while a readout layer maps the reservoir dynamics to a…

Neural and Evolutionary Computing · Computer Science 2019-11-12 Alireza Goudarzi , Matthew R. Lakin , Darko Stefanovic

Quantum reservoir computing (QRC) exploits the information-processing capabilities of quantum systems to tackle time-series forecasting tasks, which is expected to be superior to their classical counterparts. By far, many QRC schemes have…

Quantum Physics · Physics 2025-02-25 Longhan Wang , Peijie Sun , Ling-Jun Kong , Yifan Sun , Xiangdong Zhang

Recently, reinforcement learning models have achieved great success, completing complex tasks such as mastering Go and other games with higher scores than human players. Many of these models collect considerable data on the tasks and…

Machine Learning · Computer Science 2019-07-19 Hanten Chang , Katsuya Futagami

Reconstructing the KAM dynamics diagram of Hamiltonian system from the time series of a limited number of parameters is an outstanding question in nonlinear science, especially when the Hamiltonian governing the system dynamics are unknown.…

Signal Processing · Electrical Eng. & Systems 2021-08-11 Han Zhang , Huawei Fan , Liang Wang , Xingang Wang

Recent developments in quantum computing and machine learning have propelled the interdisciplinary study of quantum machine learning. Sequential modeling is an important task with high scientific and commercial value. Existing VQC or…

Neural and Evolutionary Computing · Computer Science 2022-11-07 Samuel Yen-Chi Chen , Daniel Fry , Amol Deshmukh , Vladimir Rastunkov , Charlee Stefanski

Reservoir computing has proven effective for tasks such as time-series prediction, particularly in the context of chaotic systems. However, conventional reservoir computing frameworks often face challenges in achieving high prediction…

Chaotic Dynamics · Physics 2025-05-28 Felix Köster , Kazutaka Kanno , Atsushi Uchida

Forecasting chaotic time series requires models that can capture the intrinsic geometry of the underlying attractor while remaining computationally efficient. We introduce a novel reservoir computing (RC) framework that integrates…

Neural and Evolutionary Computing · Computer Science 2025-11-06 S. K. Laha

Quantum reservoir computing has emerged as a promising paradigm for harnessing quantum systems to process temporal data efficiently by bypassing the costly training of gradient-based learning methods. Here, we demonstrate the capability of…

Quantum Physics · Physics 2026-03-20 Qingyu Li , Chiranjib Mukhopadhyay , Ludovico Minati , Abolfazl Bayat

Reservoir computing (RC) represents a class of state-space models (SSMs) characterized by a fixed state transition mechanism (the reservoir) and a flexible readout layer that maps from the state space. It is a paradigm of computational…

Machine Learning · Computer Science 2025-04-17 Pradeep Singh , Ashutosh Kumar , Sutirtha Ghosh , Hrishit B P , Balasubramanian Raman

Silicon microring resonators (MRRs) have shown strong potential in acting as the nonlinear nodes of photonic reservoir computing (RC) schemes. By using nonlinearities within a silicon MRR, such as the ones caused by free-carrier dispersion…

Neural and Evolutionary Computing · Computer Science 2024-06-05 Bernard J. Giron Castro , Christophe Peucheret , Francesco Da Ros

In the framework of physical reservoir computing (RC), machine learning algorithms designed for digital computers are executed using analog computer-like nonlinear physical systems that can provide energy-efficient computational power for…

Fluid Dynamics · Physics 2022-04-27 Ivan S. Maksymov , Andrey Pototsky , Sergey A. Suslov

Reservoir computing is a machine learning paradigm that uses a high-dimensional dynamical system, or \emph{reservoir}, to approximate and predict time series data. The scale, speed and power usage of reservoir computers could be enhanced by…

Neural and Evolutionary Computing · Computer Science 2022-11-16 Forrest C. Sheldon , Artemy Kolchinsky , Francesco Caravelli

Next Generation Reservoir Computing (NGRC) is a low-cost machine learning method for forecasting chaotic time series from data. Computational efficiency is crucial for scalable reservoir computing, requiring better strategies to reduce…

Machine Learning · Statistics 2025-11-18 Edmilson Roque dos Santos , Erik Bollt

Whereas the power of reservoir computing (RC) in inferring chaotic systems has been well established in the literature, the studies are mostly restricted to mono-functional machines where the training and testing data are acquired from the…

Chaotic Dynamics · Physics 2024-09-26 Yao Du , Haibo Luo , Jianmin Guo , Jinghua Xiao , Yizhen Yu , Xingang Wang

Reservoir computing is a computational framework suited for temporal/sequential data processing. It is derived from several recurrent neural network models, including echo state networks and liquid state machines. A reservoir computing…

The treatment of Hall-effect thrusters as nonlinear, dynamical systems has emerged as a new perspective to understand and analyze data acquired from the thrusters. The acquisition of high-speed data that can resolve the characteristic…

Chaotic Dynamics · Physics 2024-08-14 Adrian S Wong , Christine M Greve , Daniel Q Eckhardt

Controlling nonlinear dynamical systems using machine learning allows to not only drive systems into simple behavior like periodicity but also to more complex arbitrary dynamics. For this, it is crucial that a machine learning system can be…

Machine Learning · Computer Science 2023-07-17 Alexander Haluszczynski , Daniel Köglmayr , Christoph Räth

Reservoir computing (RC), a neural network designed for temporal data, enables efficient computation with low-cost training and direct physical implementation. Recently, quantum RC has opened new possibilities for conventional RC and…

Mesoscale and Nanoscale Physics · Physics 2025-11-05 Yecheng Jing , Pengfei Wang , Shuai Zhang , Zhoujie Zeng , Shi-Jun Liang , Wei Chen

Reservoir computing is a brain-inspired machine learning framework for processing temporal data by mapping inputs into high-dimensional spaces. Physical reservoir computers (PRCs) leverage native fading memory and nonlinearity in physical…

Emerging Technologies · Computer Science 2024-05-16 Ahmed S. Mohamed , Anurag Dhungel , Md Sakib Hasan , Joseph S. Najem
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