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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

In many real-world applications, fully-differentiable RNNs such as LSTMs and GRUs have been widely deployed to solve time series learning tasks. These networks train via Backpropagation Through Time, which can work well in practice but…

Neural and Evolutionary Computing · Computer Science 2020-10-29 Matthew Evanusa , Snehesh Shrestha , Michelle Girvan , Cornelia Fermüller , Yiannis Aloimonos

Supralinear and sublinear pre-synaptic and dendritic integration is considered to be responsible for nonlinear computation power of biological neurons, emphasizing the role of nonlinear integration as opposed to nonlinear output…

Neural and Evolutionary Computing · Computer Science 2015-04-28 Alireza Goudarzi , Alireza Shabani , Darko Stefanovic

This paper presents a method for reproducing a simple central pattern generator (CPG) using a modified Echo State Network (ESN). Conventionally, the dynamical reservoir needs to be damped to stabilize and preserve memory. However, we find…

Neural and Evolutionary Computing · Computer Science 2023-06-21 Tham Yik Foong , Danilo Vasconcellos Vargas

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

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

For many years, Evolutionary Algorithms (EAs) have been applied to improve Neural Networks (NNs) architectures. They have been used for solving different problems, such as training the networks (adjusting the weights), designing network…

Neural and Evolutionary Computing · Computer Science 2022-11-14 Sebastián Basterrech , Tarun Kumar Sharma

The paper introduces concentric Echo State Network, an approach to design reservoir topologies that tries to bridge the gap between deterministically constructed simple cycle models and deep reservoir computing approaches. We show how to…

Neural and Evolutionary Computing · Computer Science 2018-05-24 Davide Bacciu , Andrea Bongiorno

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

Deep learning has seen a rapid adoption in a variety of wireless communications applications, including at the physical layer. While it has delivered impressive performance in tasks such as channel equalization and receive processing/symbol…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Shashank Jere , Karim Said , Lizhong Zheng , Lingjia Liu

In recent years, more and more works have appeared devoted to the analog (hardware) implementation of artificial neural networks, in which neurons and the connection between them are based not on computer calculations, but on physical…

Neural and Evolutionary Computing · Computer Science 2024-05-14 Nadezhda Semenova

The prefrontal cortex is known to be involved in many high-level cognitive functions, in particular, working memory. Here, we study to what extent a group of randomly connected units (namely an Echo State Network, ESN) can store and…

Neurons and Cognition · Quantitative Biology 2018-06-19 Anthony Strock , Nicolas Rougier , Xavier Hinaut

While Large Language Models and their underlying Transformer architecture are remarkably efficient, they do not reflect how our brain processes and learns a diversity of cognitive tasks such as language, nor how it leverages working memory.…

Machine Learning · Computer Science 2026-02-09 Yannis Bendi-Ouis , Xavier Hinaut

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

The echo state property (ESP) represents a fundamental concept in the reservoir computing (RC) framework that ensures output-only training of reservoir networks by being agnostic to the initial states and far past inputs. However, the…

Quantum Physics · Physics 2024-09-04 Shumpei Kobayashi , Quoc Hoan Tran , Kohei Nakajima

Artificial neural networks (ANNs) are known to be powerful methods for many hard problems (e.g. image classification, speech recognition or time series prediction). However, these models tend to produce black-box results and are often…

Machine Learning · Computer Science 2022-11-17 Marco Landt-Hayen , Peer Kröger , Martin Claus , Willi Rath

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

Inspired by the numerical solution of ordinary differential equations, in this paper we propose a novel Reservoir Computing (RC) model, called the Euler State Network (EuSN). The presented approach makes use of forward Euler discretization…

Machine Learning · Computer Science 2023-03-27 Claudio Gallicchio

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

For applications on the extreme edge, minimal networks of only a few dozen artificial neurons for event detection and classification in discrete time signals would be highly desirable. Feed-forward networks, RNNs, and CNNs evolved through…

Machine Learning · Computer Science 2026-04-10 Christian Kroos , Fabian Küch