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A method is provided for designing and training noise-driven recurrent neural networks as models of stochastic processes. The method unifies and generalizes two known separate modeling approaches, Echo State Networks (ESN) and Linear…

适应与自组织系统 · 物理学 2014-04-14 Mathieu N. Galtier , Camille Marini , Gilles Wainrib , Herbert Jaeger

This paper examines Echo State Network, a reservoir computer, performance using four different benchmark problems, then proposes heuristics or rules of thumb for configuring the architecture, as well as the selection of parameters and their…

神经与进化计算 · 计算机科学 2025-08-15 Brooke R. Weborg , Gursel Serpen

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

Long-lead forecasting for spatio-temporal systems can often entail complex nonlinear dynamics that are difficult to specify it a priori. Current statistical methodologies for modeling these processes are often highly parameterized and thus,…

机器学习 · 统计学 2018-09-05 Patrick L. McDermott , Christopher K. Wikle

Echo States Networks (ESN) and Long-Short Term Memory networks (LSTM) are two popular architectures of Recurrent Neural Networks (RNN) to solve machine learning task involving sequential data. However, little have been done to compare their…

神经与进化计算 · 计算机科学 2020-12-15 Alexandre Variengien , 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…

神经与进化计算 · 计算机科学 2017-01-10 Sigurd Løkse , Filippo Maria Bianchi , Robert Jenssen

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…

The identification of states and parameters from noisy measurements of a dynamical system is of great practical significance and has received a lot of attention. Classically, this problem is expressed as optimization over a class of models.…

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

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…

机器学习 · 计算机科学 2019-03-27 Zachariah Carmichael , Humza Syed , Stuart Burtner , Dhireesha Kudithipudi

Prediction based on Irregularly Sampled Time Series (ISTS) is of wide concern in the real-world applications. For more accurate prediction, the methods had better grasp more data characteristics. Different from ordinary time series, ISTS is…

机器学习 · 计算机科学 2021-05-04 Chenxi Sun , Shenda Hong , Moxian Song , Yanxiu Zhou , Yongyue Sun , Derun Cai , Hongyan Li

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…

神经与进化计算 · 计算机科学 2022-07-19 Filip Matzner

Recurrent neural networks (RNNs) are a vital modeling technique that rely on internal states learned indirectly by optimization of a supervised, unsupervised, or reinforcement training loss. RNNs are used to model dynamic processes that are…

A reservoir computer is a special type of neural network, where most of the weights are randomly fixed and only a subset are trained. In this thesis we prove results about reservoir computers trained on deterministic dynamical systems, and…

动力系统 · 数学 2021-12-28 Allen G Hart

Reinforcement learning (RL) policies trained in simulation often suffer from severe performance degradation when deployed in real-world environments due to non-stationary dynamics. While Domain Randomization (DR) and meta-RL have been…

机器学习 · 计算机科学 2026-02-09 Aoi Yoshimura , Gouhei Tanaka

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)…

机器学习 · 计算机科学 2020-09-28 Claudio Gallicchio , Alessio Micheli

The computational properties of neural systems are often thought to be implemented in terms of their network dynamics. Hence, recovering the system dynamics from experimentally observed neuronal time series, like multiple single-unit (MSU)…

神经元与认知 · 定量生物学 2017-07-05 Daniel Durstewitz

As an efficient recurrent neural network (RNN) model, reservoir computing (RC) models, such as Echo State Networks, have attracted widespread attention in the last decade. However, while they have had great success with time series data…

机器学习 · 计算机科学 2017-11-16 Qianli Ma , Lifeng Shen , Garrison W. Cottrell

The identification of black-box nonlinear state-space models requires a flexible representation of the state and output equation. Artificial neural networks have proven to provide such a representation. However, as in many identification…

机器学习 · 计算机科学 2021-03-29 Maarten Schoukens

Echo State Networks (ESN) are versatile recurrent neural network models in which the hidden layer remains unaltered during training. Interactions among nodes of this static backbone produce diverse representations of the given stimuli that…

机器学习 · 计算机科学 2022-05-25 Kayson Fakhar , Fatemeh Hadaeghi , Claus C. Hilgetag