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An emerging computing paradigm, so-called next-generation reservoir computing (NG-RC) is investigated. True to its namesake, NG-RC requires no actual reservoirs for input data mixing but rather computing the polynomial terms directly from…

Machine Learning · Computer Science 2025-12-16 Ken-ichi Kitayama

Next Generation Reservoir Computing (NG-RC) is a modern class of model-free machine learning that enables an accurate forecasting of time series data generated by dynamical systems. We demonstrate that NG-RC can accurately predict full…

Quantum Physics · Physics 2025-01-24 Apimuk Sornsaeng , Ninnat Dangniam , Thiparat Chotibut

Artificial neural networks with internal dynamics exhibit remarkable capability in processing information. Reservoir computing (RC) is a canonical example that features rich computing expressivity and compatibility with physical…

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

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

Reservoir computers (RCs) are powerful machine learning architectures for time series prediction. Recently, next generation reservoir computers (NGRCs) have been introduced, offering distinct advantages over RCs, such as reduced…

Machine Learning · Computer Science 2024-06-07 Ravi Chepuri , Dael Amzalag , Thomas Antonsen , Michelle Girvan

Reservoir computing (RC) is a machine learning paradigm that excels at dynamical systems analysis. Photonic RCs, which perform implicit computation through optical interactions, have attracted increasing attention due to their potential for…

Optics · Physics 2024-04-11 Nicholas Cox , Joseph Murray , Joseph Hart , Brandon Redding

Forecasting high-dimensional spatiotemporal systems remains computationally challenging for recurrent neural networks (RNNs) and long short-term memory (LSTM) models due to gradient-based training and memory bottlenecks. Reservoir Computing…

Machine Learning · Computer Science 2026-01-05 Ata Akbari Asanjan , Filip Wudarski , Daniel O'Connor , Shaun Geaney , Elena Strbac , P. Aaron Lott , Davide Venturelli

Reservoir Computing (RC) is a simple and efficient model-free framework for forecasting the behavior of nonlinear dynamical systems from data. Here, we show that there exist commonly-studied systems for which leading RC frameworks struggle…

Machine Learning · Computer Science 2023-09-27 Yuanzhao Zhang , Sean P. Cornelius

We extend an advanced variation of a machine learning algorithm, next-generation reservoir Computing (NGRC), to forecast the dynamics of the Ikeda map of a chaotic laser. The machine learning model is created by observing time-series data…

Chaotic Dynamics · Physics 2025-04-01 Daniel J. Gauthier , Andrew Pomerance , Erik Bollt

Kernel ridge regression (KRR) is widely used for nonparametric regression over reproducing kernel Hilbert spaces. It offers powerful modeling capabilities at the cost of significant computational costs, which typically require $O(n^3)$…

Methodology · Statistics 2024-03-18 Xiaowu Dai , Huiying Zhong

In this work, we introduce and experimentally demonstrate a photonic frequency-multiplexed next generation reservoir computer (FM-NGRC) capable of performing real-time inference at GHz speed. NGRCs apply a feed-forward architecture to…

Optics · Physics 2024-11-15 Nicholas Cox , Joseph Murray , Joseph Hart , Brandon Redding

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

Reservoir computing (RC) is an effective method for predicting chaotic systems by using a high-dimensional dynamic reservoir with fixed internal weights, while keeping the learning phase linear, which simplifies training and reduces…

A physical neural network (PNN) has both the strong potential to solve machine learning tasks and intrinsic physical properties, such as high-speed computation and energy efficiency. Reservoir computing (RC) is an excellent framework for…

Chaotic Dynamics · Physics 2024-12-18 Tomoyuki Kubota , Yusuke Imai , Sumito Tsunegi , Kohei Nakajima

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, machine learning techniques, particularly deep learning, have demonstrated superior performance over traditional time series forecasting methods across various applications, including both single-variable and multi-variable…

Machine Learning · Computer Science 2025-10-02 Huaiyuan Rao , Yichen Zhao , Qiang Lai

Reservoir Computing (RC) refers to a Recurrent Neural Networks (RNNs) framework, frequently used for sequence learning and time series prediction. The RC system consists of a random fixed-weight RNN (the input-hidden reservoir layer) and a…

Machine Learning · Computer Science 2017-06-27 M. Andrecut

Reservoir computing (RC), a particular form of recurrent neural network, is under explosive development due to its exceptional efficacy and high performance in reconstruction or/and prediction of complex physical systems. However, the…

Machine Learning · Computer Science 2023-05-10 Xing-Yue Duan , Xiong Ying , Si-Yang Leng , Jürgen Kurths , Wei Lin , Huan-Fei Ma

Reservoir computers (RC) are a form of recurrent neural network (RNN) used for forecasting timeseries data. As with all RNNs, selecting the hyperparameters presents a challenge when training onnew inputs. We present a method based on…

Computational Physics · Physics 2022-01-05 Jason A. Platt , Adrian S. Wong , Randall Clark , Stephen G. Penny , Henry D. I. Abarbanel
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