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Echo State Networks (ESNs) are a special type of the temporally deep network model, the Recurrent Neural Network (RNN), where the recurrent matrix is carefully designed and both the recurrent and input matrices are fixed. An ESN uses the…

Machine Learning · Computer Science 2013-11-14 Hamid Palangi , Li Deng , Rabab K Ward

Background/introduction: Cross-Validation (CV) is still uncommon in time series modeling. Echo State Networks (ESNs), as a prime example of Reservoir Computing (RC) models, are known for their fast and precise one-shot learning, that often…

Machine Learning · Computer Science 2021-03-05 Mantas Lukoševičius , Arnas Uselis

Stock return prediction is a problem that has received much attention in the finance literature. In recent years, sophisticated machine learning methods have been shown to perform significantly better than ''classical'' prediction…

Computational Finance · Quantitative Finance 2025-04-29 Giovanni Ballarin , Jacopo Capra , Petros Dellaportas

Echo State Networks (ESNs) are simplified recurrent neural network models composed of a reservoir and a linear, trainable readout layer. The reservoir is tunable by some hyper-parameters that control the network behaviour. ESNs are known to…

Neural and Evolutionary Computing · Computer Science 2018-11-06 Pietro Verzelli , Lorenzo Livi , Cesare Alippi

The echo state network (ESN) is a special type of recurrent neural networks for processing the time-series dataset. However, limited by the strong correlation among sequential samples of the agent, ESN-based policy control algorithms are…

Machine Learning · Computer Science 2022-01-14 Chunyuan Zhang , Chao Liu , Qi Song , Jie Zhao

Machine learning (ML) is widely used to model chaotic systems. Among ML approaches, echo state networks (ESNs) have received considerable attention due to their simple construction and fast training. However, ESN performance is highly…

Chaotic Dynamics · Physics 2025-07-09 Francesco Martinuzzi

We propose an innovative design for an optical Echo State Network (ESN), an advanced type of reservoir computer known for its universal computational capabilities. Our design enables an optical implementation of arbitrary ESNs, featuring…

Optics · Physics 2025-11-17 Ishwar S Kaushik , Peter J Ehlers , Daniel Soh

Temporal data modelling techniques with neural networks are useful in many domain applications, including time-series forecasting and control engineering. This paper aims at developing a recurrent version of stochastic configuration…

Machine Learning · Computer Science 2025-04-03 Dianhui Wang , Gang Dang

We propose a physics-informed Echo State Network (ESN) to predict the evolution of chaotic systems. Compared to conventional ESNs, the physics-informed ESNs are trained to solve supervised learning tasks while ensuring that their…

Physics and Society · Physics 2019-06-28 Nguyen Anh Khoa Doan , Wolfgang Polifke , Luca Magri

Echo State Networks represent a type of recurrent neural network with a large randomly generated reservoir and a small number of readout connections trained via linear regression. The most common topology of the reservoir is a fully…

Neural and Evolutionary Computing · Computer Science 2022-07-19 Filip Matzner

Echo State Networks (ESNs) are a class of single layer recurrent neural networks that have enjoyed recent attention. In this paper we prove that a suitable ESN, trained on a series of measurements of an invertible dynamical system, induces…

Chaotic Dynamics · Physics 2020-05-19 Allen G Hart , James L Hook , Jonathan H P Dawes

We propose a physics-informed Echo State Network (ESN) to predict the evolution of chaotic systems. Compared to conventional ESNs, the physics-informed ESNs are trained to solve supervised learning tasks while ensuring that their…

Machine Learning · Computer Science 2020-11-05 Nguyen Anh Khoa Doan , Wolfgang Polifke , Luca Magri

Echo State Networks (ESNs) are known for their fast and precise one-shot learning of time series. But they often need good hyper-parameter tuning for best performance. For this good validation is key, but usually, a single validation split…

Machine Learning · Computer Science 2020-07-13 Mantas Lukoševičius , Arnas Uselis

Echo State Networks are efficient time-series predictors, which highly depend on the value of the spectral radius of the reservoir connectivity matrix. Based on recent results on the mean field theory of driven random recurrent neural…

Chaotic Dynamics · Physics 2015-05-26 Mathieu Galtier , Gilles Wainrib

We propose Echo State Networks (ESNs) to predict the statistics of extreme events in a turbulent flow. We train the ESNs on small datasets that lack information about the extreme events. We asses whether the networks are able to extrapolate…

Fluid Dynamics · Physics 2022-04-13 Alberto Racca , Luca Magri

In this paper, the problem of proactive caching is studied for cloud radio access networks (CRANs). In the studied model, the baseband units (BBUs) can predict the content request distribution and mobility pattern of each user, determine…

Information Theory · Computer Science 2017-04-04 Mingzhe Chen , Walid Saad , Changchuan Yin , Mérouane Debbah

A particular case of Recurrent Neural Network (RNN) was introduced at the beginning of the 2000s under the name of Echo State Networks (ESNs). The ESN model overcomes the limitations during the training of the RNNs while introducing no…

Machine Learning · Computer Science 2015-01-06 Sebastián Basterrech

Early Exit Neural Networks (EENNs) endow astandard Deep Neural Network (DNN) with Early Exit Classifiers (EECs), to provide predictions at intermediate points of the processing when enough confidence in classification is achieved. This…

Machine Learning · Computer Science 2025-08-07 Matteo Gambella , Jary Pomponi , Simone Scardapane , Manuel Roveri

Dense stereo matching with deep neural networks is of great interest to the research community. Existing stereo matching networks typically use slow and computationally expensive 3D convolutions to improve the performance, which is not…

Computer Vision and Pattern Recognition · Computer Science 2021-03-09 Zhengyu Huang , Theodore B. Norris , Panqu Wang

Model combination is a powerful approach for achieving superior performance compared to selecting a single model. We study both theoretically and empirically the effectiveness of ensembles of Multi-Frequency Echo State Networks (MFESNs),…

Econometrics · Economics 2026-01-21 Giovanni Ballarin , Lyudmila Grigoryeva , Yui Ching Li