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Echo State Networks (ESNs) are a particular type of untrained Recurrent Neural Networks (RNNs) within the Reservoir Computing (RC) framework, popular for their fast and efficient learning. However, traditional ESNs often struggle with…

Machine Learning · Computer Science 2026-01-30 Matteo Pinna , Andrea Ceni , Claudio Gallicchio

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

As one of the most important paradigms of recurrent neural networks, the echo state network (ESN) has been applied to a wide range of fields, from robotics to medicine, finance, and language processing. A key feature of the ESN paradigm is…

Machine Learning · Computer Science 2020-02-26 Pau Vilimelis Aceituno , Yan Gang , Yang-Yu Liu

Neuro-inspired recurrent neural network algorithms, such as echo state networks, are computationally lightweight and thereby map well onto untethered devices. The baseline echo state network algorithms are shown to be efficient in solving…

Machine Learning · Computer Science 2019-03-27 Zachariah Carmichael , Humza Syed , Stuart Burtner , Dhireesha Kudithipudi

Forecasting stock and cryptocurrency prices is challenging due to high volatility and non-stationarity, influenced by factors like economic changes and market sentiment. Previous research shows that Echo State Networks (ESNs) can…

Machine Learning · Computer Science 2025-08-08 Mansi Sharma , Enrico Sartor , Marc Cavazza , Helmut Prendinger

This paper aims to discuss and analyze the potentialities of Recurrent Neural Networks (RNN) in control design applications. The main families of RNN are considered, namely Neural Nonlinear AutoRegressive eXogenous, (NNARX), Echo State…

Systems and Control · Electrical Eng. & Systems 2022-05-11 Fabio Bonassi , Marcello Farina , Jing Xie , Riccardo Scattolini

Echo State Networks (ESNs) are a class of single-layer recurrent neural networks with randomly generated internal weights, and a single layer of tuneable outer weights, which are usually trained by regularised linear least squares…

Machine Learning · Computer Science 2021-04-07 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 a class of recurrent neural networks in which only the readout layer is trainable, while the recurrent and input layers are fixed. This architectural constraint enables computationally efficient processing of…

Machine Learning · Computer Science 2025-07-31 Taiki Yamada , Yuichi Katori , Kantaro Fujiwara

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

This paper considers the problem of data-driven prediction of partially observed systems using a recurrent neural network. While neural network based dynamic predictors perform well with full-state training data, prediction with partial…

Systems and Control · Electrical Eng. & Systems 2023-04-07 Debdipta Goswami

What is a neural model with minimum architectural complexity that exhibits reasonable language learning capability? To explore such a simple but sufficient neural language model, we revisit a basic reservoir computing (RC) model, Echo State…

Computation and Language · Computer Science 2025-03-04 Ryo Ueda , Tatsuki Kuribayashi , Shunsuke Kando , Kentaro Inui

Echo State Networks (ESN) are a class of Recurrent Neural Networks (RNN) that has gained substantial popularity due to their effectiveness, ease of use and potential for compact hardware implementation. An ESN contains the three network…

Machine Learning · Computer Science 2018-07-26 Luca Carcano , Emanuele Plebani , Danilo Pietro Pau , Marco Piastra

Echo State Network (ESN) presents a distinguished kind of recurrent neural networks. It is built upon a sparse, random and large hidden infrastructure called reservoir. ESNs have succeeded in dealing with several non-linear problems such as…

Neural and Evolutionary Computing · Computer Science 2018-06-12 Naima Chouikhi , Boudour Ammar , Adel M. Alimi

The study of deep recurrent neural networks (RNNs) and, in particular, of deep Reservoir Computing (RC) is gaining an increasing research attention in the neural networks community. The recently introduced Deep Echo State Network (DeepESN)…

Machine Learning · Computer Science 2020-09-28 Claudio Gallicchio , Alessio Micheli

This paper explores the problem of training a recurrent neural network from noisy data. While neural network based dynamic predictors perform well with noise-free training data, prediction with noisy inputs during training phase poses a…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Debdipta Goswami

This paper proposes a control strategy consisting of a robust controller and an Echo State Network (ESN) based control law for stabilizing a class of uncertain nonlinear discrete-time systems subject to persistent disturbances. Firstly, the…

Systems and Control · Electrical Eng. & Systems 2024-10-31 A. Banderchuk , D. Coutinho , E. Camponogara

In reservoir computing, an input sequence is processed by a recurrent neural network, the reservoir, which transforms it into a spatial pattern that a shallow readout network can then exploit for tasks such as memorization and time-series…

Neural and Evolutionary Computing · Computer Science 2025-12-30 Denis Kleyko , Christopher J. Kymn , E. Paxon Frady , Amy Loutfi , Friedrich T. Sommer

Reservoir computing, using nonlinear dynamical systems, offers a cost-effective alternative to neural networks for complex tasks involving processing of sequential data, time series modeling, and system identification. Echo state networks…

Machine Learning · Computer Science 2025-01-14 Peter J. Ehlers , Hendra I. Nurdin , Daniel Soh

The unprecedented dissemination of edge devices is accompanied by a growing demand for neuromorphic chips that can process time-series data natively without cloud support. Echo state network (ESN) is a class of recurrent neural networks…

Machine Learning · Computer Science 2025-03-04 Abdullah M. Zyarah , Alaa M. Abdul-Hadi , Dhireesha Kudithipudi