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Predicting chaotic systems is crucial for understanding complex behaviors, yet challenging due to their sensitivity to initial conditions and inherent unpredictability. Probabilistic Reservoir Computing (RC) is well-suited for long-term…

Materials Science · Physics 2024-07-03 Cen Wang , Xinyao Lei , Kaiming Cai , Xiaofei Yang , Yue Zhang

Reservoir Computing (RC) provides an efficient way for designing dynamical recurrent neural models. While training is restricted to a simple output component, the recurrent connections are left untrained after initialization, subject to…

Neural and Evolutionary Computing · Computer Science 2019-09-25 Claudio Gallicchio

Reservoir computers, based on large recurrent neural networks with fixed random connections, are known to perform a wide range of information processing tasks. However, the nature of data transformations within the reservoir, the interplay…

Neural and Evolutionary Computing · Computer Science 2025-11-24 Claus Metzner , Achim Schilling , Thomas Kinfe , Andreas Maier , Patrick Krauss

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

We introduce chaos-controlled Reservoir Computing (cc-RC) for living neural cultures: dynamically rich substrates of unique potential for adaptive computation. To account for intrinsic biological variability, cc-RC combines: (i)…

Neural and Evolutionary Computing · Computer Science 2026-04-06 Seung Hyun Kim , Zhi Dou , Gaurav Upadhyay , Anay Pattanaik , Leo Maslov , Lav Varshney , John Beggs , Howard Gritton , Mattia Gazzola

Reservoir computing is a recently introduced, highly efficient bio-inspired approach for processing time dependent data. The basic scheme of reservoir computing consists of a non linear recurrent dynamical system coupled to a single input…

Emerging Technologies · Computer Science 2012-07-06 Yvan Paquot , François Duport , Anteo Smerieri , Joni Dambre , Benjamin Schrauwen , Marc Haelterman , Serge Massar

The prediction of complex nonlinear dynamical systems with the help of machine learning techniques has become increasingly popular. In particular, reservoir computing turned out to be a very promising approach especially for the…

Data Analysis, Statistics and Probability · Physics 2020-01-08 Alexander Haluszczynski , Christoph Räth

In nonlinear dynamical systems, tipping refers to a critical transition from one steady state to another, typically catastrophic, steady state, often resulting from a saddle-node bifurcation. Recently, the machine-learning framework of…

Chaotic Dynamics · Physics 2026-04-09 Smita Deb , Zheng-Meng Zhai , Mulugeta Haile , Ying-Cheng Lai

Reservoir computing is a novel machine learning algorithm that uses a nonlinear dynamical system to efficiently learn complex temporal patterns from data. The objective of this thesis is to investigate the principles of reservoir computing…

Quantum Physics · Physics 2023-10-12 Laia Domingo

Information processing abilities of active matter are studied in the reservoir computing (RC) paradigm to infer the future state of a chaotic signal. We uncover an exceptional regime of agent dynamics that has been overlooked previously. It…

Adaptation and Self-Organizing Systems · Physics 2026-01-26 Mario U. Gaimann , Miriam Klopotek

The human brain's synapses have remarkable activity-dependent plasticity, where the connectivity patterns of neurons change dramatically, relying on neuronal activities. As a biologically inspired neural network, reservoir computing (RC)…

Neural and Evolutionary Computing · Computer Science 2023-01-26 Zhihao Zuo , Zhongxue Gan , Yuchuan Fan , Vjaceslavs Bobrovs , Xiaodan Pang , Oskars Ozolins

As an alternative approach for predicting complex dynamical systems where physics-based models are no longer reliable, reservoir computing (RC) has gained popularity. The hybrid approach is considered an interesting option for improving the…

Machine Learning · Computer Science 2025-01-21 Tamon Nakano , Sebastian Baur , Christoph Räth

Reservoir computing (RC) is among the most promising approaches for AI-based prediction models of complex systems. It combines superior prediction performance with very low CPU-needs for training. Recent results demonstrated that quantum…

Quantum Physics · Physics 2025-02-25 Joel Steinegger , Christoph Räth

We study how the degree of nonlinearity in the input data affects the optimal design of reservoir computers, focusing on how closely the model's nonlinearity should align with that of the data. By reducing minimal RCs to a single tunable…

Machine Learning · Computer Science 2025-04-25 Davide Prosperino , Haochun Ma , Christoph Räth

A machine-learning approach called "reservoir computing" has been used successfully for short-term prediction and attractor reconstruction of chaotic dynamical systems from time series data. We present a theoretical framework that describes…

Chaotic Dynamics · Physics 2018-08-01 Zhixin Lu , Brian R. Hunt , Edward Ott

The reservoir computing networks (RCNs) have been successfully employed as a tool in learning and complex decision-making tasks. Despite their efficiency and low training cost, practical applications of RCNs rely heavily on empirical…

Machine Learning · Computer Science 2021-12-14 Wei Miao , Vignesh Narayanan , Jr-Shin Li

A reservoir computer is a complex nonlinear dynamical system that has been shown to be useful for solving certain problems, such as prediction of chaotic signals, speech recognition or control of robotic systems. Typically a reservoir…

Emerging Technologies · Computer Science 2019-08-30 Thomas L. Carroll , Louis M. Pecora

Neural systems are well known for their ability to learn and store information as memories. Even more impressive is their ability to abstract these memories to create complex internal representations, enabling advanced functions such as the…

Neural and Evolutionary Computing · Computer Science 2024-09-20 Lindsay M. Smith , Jason Z. Kim , Zhixin Lu , Dani S. Bassett

Reservoir computing is a powerful tool for forecasting turbulence because its simple architecture has the computational efficiency to handle large systems. Its implementation, however, often requires full state-vector measurements and…

Fluid Dynamics · Physics 2022-12-02 Vikrant Gupta , Larry K. B. Li , Shiyi Chen , Minping Wan

Recent studies on reservoir computing essentially involve a high dimensional dynamical system as the reservoir, which transforms and stores the input as a higher dimensional state, for temporal and nontemporal data processing. We…

Disordered Systems and Neural Networks · Physics 2024-08-05 R. Arun , M. Sathish Aravindh , A. Venkatesan , M. Lakshmanan