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A recurrent neural network (RNN) possesses the echo state property (ESP) if, for a given input sequence, it ``forgets'' any internal states of the driven (nonautonomous) system and asymptotically follows a unique, possibly complex…

动力系统 · 数学 2020-06-26 Andrea Ceni , Peter Ashwin , Lorenzo Livi , Claire Postlethwaite

Echo state networks are simple recurrent neural networks that are easy to implement and train. Despite their simplicity, they show a form of memory and can predict or regenerate sequences of data. We make use of this property to realize a…

密码学与安全 · 计算机科学 2017-04-05 Rajkumar Ramamurthy , Christian Bauckhage , Krisztian Buza , Stefan Wrobel

Recurrent neural networks (RNNs) can be interpreted as discrete-time state-space models, where the state evolution corresponds to an infinite-impulse-response (IIR) filtering operation governed by both feedforward weights and recurrent…

机器学习 · 计算机科学 2026-02-26 Alexander Morgan , Ummay Sumaya Khan , Lingjia Liu , Lizhong Zheng

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…

机器学习 · 计算机科学 2026-04-10 Christian Kroos , Fabian Küch

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…

混沌动力学 · 物理学 2025-07-09 Francesco Martinuzzi

Recent advancements in artificial neural networks have enabled impressive tasks on classical computers, but they demand significant computational resources. While quantum computing offers potential beyond classical systems, the advantages…

量子物理 · 物理学 2024-12-12 Erik Connerty , Ethan Evans , Gerasimos Angelatos , Vignesh Narayanan

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…

系统与控制 · 电气工程与系统科学 2022-05-11 Fabio Bonassi , Marcello Farina , Jing Xie , Riccardo Scattolini

This paper contributes to a development of randomized methods for neural networks. The proposed learner model is generated incrementally by stochastic configuration (SC) algorithms, termed as Stochastic Configuration Networks (SCNs). In…

神经与进化计算 · 计算机科学 2018-02-14 Dianhui Wang , Ming Li

Study of dynamical systems using partial state observation is an important problem due to its applicability to many real-world systems. We address the problem by studying an echo state network (ESN) framework with partial state input with…

系统与控制 · 电气工程与系统科学 2023-12-06 Ajit Mahata , Reetish Padhi , Amit Apte

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…

神经元与认知 · 定量生物学 2018-06-19 Anthony Strock , Nicolas Rougier , Xavier Hinaut

In the last decade, a new computational paradigm was introduced in the field of Machine Learning, under the name of Reservoir Computing (RC). RC models are neural networks which a recurrent part (the reservoir) that does not participate in…

神经与进化计算 · 计算机科学 2013-04-08 Sebastián Basterrech , Gerardo Rubino

This work studies approximation based on single-hidden-layer feedforward and recurrent neural networks with randomly generated internal weights. These methods, in which only the last layer of weights and a few hyperparameters are optimized,…

概率论 · 数学 2021-02-17 Lukas Gonon , Lyudmila Grigoryeva , Juan-Pablo Ortega

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…

机器学习 · 统计学 2012-07-03 Ján Dolinský , Kei Hirose , Sadanori Konishi

Recurrent neural networks (RNNs) are more suitable for learning non-linear dependencies in dynamical systems from observed time series data. In practice all the external variables driving such systems are not known a priori, especially in…

Many natural and physical processes can be understood by analyzing multiple system variables evolving, forming a multivariate time series. Predicting such time series is challenging due to the inherent noise and interdependencies among…

混沌动力学 · 物理学 2025-12-11 S. Hariharan , R. Suresh , V. K. Chandrasekar

In this study, we use a reservoir computing based echo state network (ESN) to predict the collective burst synchronization of neurons. Specifically, we investigate the ability of ESN in predicting the burst synchronization of an ensemble of…

神经元与认知 · 定量生物学 2022-06-22 Mousumi Roy , Abhishek Senapati , Swarup Poria , Arindam Mishra , Chittaranjan Hens

Recurrent neural networks are a widely used class of neural architectures. They have, however, two shortcomings. First, it is difficult to understand what exactly they learn. Second, they tend to work poorly on sequences requiring long-term…

机器学习 · 计算机科学 2019-05-08 Cheng Wang , Mathias Niepert

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…

混沌动力学 · 物理学 2015-05-26 Mathieu Galtier , Gilles Wainrib

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…

系统与控制 · 电气工程与系统科学 2023-04-07 Debdipta Goswami

Recurrent neural networks (RNNs) have shown promising performance for language modeling. However, traditional training of RNNs using back-propagation through time often suffers from overfitting. One reason for this is that stochastic…

计算与语言 · 计算机科学 2017-04-25 Zhe Gan , Chunyuan Li , Changyou Chen , Yunchen Pu , Qinliang Su , Lawrence Carin