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This article introduces a robust hybrid method for solving supervised learning tasks, which uses the Echo State Network (ESN) model and the Particle Swarm Optimization (PSO) algorithm. An ESN is a Recurrent Neural Network with the…

Neural and Evolutionary Computing · Computer Science 2015-01-05 Sebastián Basterrech , Enrique Alba , Václav Snášel

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

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

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

We present neural machine translation (NMT) models inspired by echo state network (ESN), named Echo State NMT (ESNMT), in which the encoder and decoder layer weights are randomly generated then fixed throughout training. We show that even…

Computation and Language · Computer Science 2020-02-28 Ankush Garg , Yuan Cao , Qi Ge

Echo state network (ESN) is viewed as a temporal non-orthogonal expansion with pseudo-random parameters. Such expansions naturally give rise to regressors of various relevance to a teacher output. We illustrate that often only a certain…

Machine Learning · Statistics 2012-07-03 Ján Dolinský , Kei Hirose , Sadanori Konishi

Echo-State Networks (ESNs) distil a key neurobiological insight: richly recurrent but fixed circuitry combined with adaptive linear read-outs can transform temporal streams with remarkable efficiency. Yet fundamental questions about…

Neural and Evolutionary Computing · Computer Science 2025-07-25 Pradeep Singh , Lavanya Sankaranarayanan , Balasubramanian Raman

We introduce a diagonalization-based optimization for Linear Echo State Networks (ESNs) that reduces the per-step computational complexity of reservoir state updates from O(N^2) to O(N). By reformulating reservoir dynamics in the eigenbasis…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-24 Romain de Coudenhove , Yannis Bendi-Ouis , Anthony Strock , Xavier Hinaut

In this paper we introduce a new framework to train an Echo State Network to predict real valued time-series. The method consists in projecting the output of the internal layer of the network on a space with lower dimensionality, before…

Neural and Evolutionary Computing · Computer Science 2017-01-10 Sigurd Løkse , Filippo Maria Bianchi , Robert Jenssen

This paper investigates the performance of Echo State Networks (ESNs) for univariate time series forecasting using a subset of the M4 Forecasting Competition dataset. Focusing on monthly and quarterly time series, we evaluate whether a…

Machine Learning · Computer Science 2026-04-08 Alexander Häußer

We study the convergence rates of the EM algorithm for learning two-component mixed linear regression under all regimes of signal-to-noise ratio (SNR). We resolve a long-standing question that many recent results have attempted to tackle:…

Machine Learning · Statistics 2021-02-08 Jeongyeol Kwon , Nhat Ho , Constantine Caramanis

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

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

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

The inference performance of the pseudolikelihood method is discussed in the framework of the inverse Ising problem when the $\ell_2$-regularized (ridge) linear regression is adopted. This setup is introduced for theoretically investigating…

Disordered Systems and Neural Networks · Physics 2021-10-19 Xiangming Meng , Tomoyuki Obuchi , Yoshiyuki Kabashima

Echo State Networks (ESNs) are recurrent neural networks usually employed for modeling nonlinear dynamic systems with relatively ease of training. By incorporating physical laws into the training of ESNs, Physics-Informed ESNs (PI-ESNs)…

Machine Learning · Computer Science 2025-02-05 Eric Mochiutti , Eric Aislan Antonelo , Eduardo Camponogara

Echo state networks are a recently developed type of recurrent neural network where the internal layer is fixed with random weights, and only the output layer is trained on specific data. Echo state networks are increasingly being used to…

Neural and Evolutionary Computing · Computer Science 2018-02-06 Ashley Prater

Ensemble methods that average over a collection of independent predictors that are each limited to a subsampling of both the examples and features of the training data command a significant presence in machine learning, such as the…

Machine Learning · Statistics 2020-03-26 Daniel LeJeune , Hamid Javadi , Richard G. Baraniuk

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

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