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An approach to the time-accurate prediction of chaotic solutions is by learning temporal patterns from data. Echo State Networks (ESNs), which are a class of Reservoir Computing, can accurately predict the chaotic dynamics well beyond the…

机器学习 · 计算机科学 2021-03-16 Alberto Racca , Luca Magri

The goal of this paper is to investigate the theoretical properties, the training algorithm, and the predictive control applications of Echo State Networks (ESNs), a particular kind of Recurrent Neural Networks. First, a condition…

系统与控制 · 计算机科学 2019-02-06 Luca Bugliari Armenio , Enrico Terzi , Marcello Farina , Riccardo Scattolini

Echo State Networks (ESNs) are a special type of recurrent neural networks (RNNs), in which the input and recurrent connections are traditionally generated randomly, and only the output weights are trained. Despite the recent success of…

机器学习 · 计算机科学 2022-05-11 Peter Steiner , Azarakhsh Jalalvand , Peter Birkholz

We report about probabilistic likelihood estimates that are performed on time series using an echo state network with orthogonal recurrent connectivity. The results from tests using synthetic stochastic input time series with temporal…

神经与进化计算 · 计算机科学 2017-06-14 Norbert Michael Mayer , Ying-Hao Yu

We propose a novel algorithm for performing federated learning with Echo State Networks (ESNs) in a client-server scenario. In particular, our proposal focuses on the adaptation of reservoirs by combining Intrinsic Plasticity with Federated…

神经与进化计算 · 计算机科学 2022-06-23 Valerio De Caro , Claudio Gallicchio , Davide Bacciu

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

Among the various architectures of Recurrent Neural Networks, Echo State Networks (ESNs) emerged due to their simplified and inexpensive training procedure. These networks are known to be sensitive to the setting of hyper-parameters, which…

神经与进化计算 · 计算机科学 2019-09-23 Pietro Verzelli , Cesare Alippi , Lorenzo Livi

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…

物理与社会 · 物理学 2019-06-28 Nguyen Anh Khoa Doan , Wolfgang Polifke , Luca Magri

We propose an innovative design for an optical Echo State Network (ESN), an advanced type of reservoir computer known for its universal computational capabilities. Our design enables an optical implementation of arbitrary ESNs, featuring…

光学 · 物理学 2025-11-17 Ishwar S Kaushik , Peter J Ehlers , Daniel Soh

Echo state network (ESN), a kind of recurrent neural networks, consists of a fixed reservoir in which neurons are connected randomly and recursively and obtains the desired output only by training output connection weights. First-order…

机器学习 · 计算机科学 2024-01-22 Yansong Li , Kai Hu , Kohei Nakajima , Yongping Pan

Reservoir Computing (RC) is a popular methodology for the efficient design of Recurrent Neural Networks (RNNs). Recently, the advantages of the RC approach have been extended to the context of multi-layered RNNs, with the introduction of…

机器学习 · 计算机科学 2019-09-25 Claudio Gallicchio , Alessio Micheli

Recurrent neural networks (RNNs) have drawn interest from machine learning researchers because of their effectiveness at preserving past inputs for time-varying data processing tasks. To understand the success and limitations of RNNs, it is…

信息论 · 计算机科学 2017-01-30 Adam Charles , Dong Yin , Christopher Rozell

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

Machine learning has become a widely popular and successful paradigm, including in data-driven science and engineering. A major application problem is data-driven forecasting of future states from a complex dynamical. Artificial neural…

数据分析、统计与概率 · 物理学 2021-03-19 Erik Bollt

The Echo State Network (ESN) is a specific recurrent network, which has gained popularity during the last years. The model has a recurrent network named reservoir, that is fixed during the learning process. The reservoir is used for…

神经与进化计算 · 计算机科学 2017-03-21 Sebastián Basterrech

Reservoir Computing (RC) has established itself as an efficient paradigm for temporal processing. However, its scalability remains severely constrained by (i) the necessity of processing temporal data sequentially and (ii) the prohibitive…

机器学习 · 计算机科学 2026-02-02 Matteo Pinna , Giacomo Lagomarsini , Andrea Ceni , Claudio Gallicchio

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…

分布式、并行与集群计算 · 计算机科学 2026-02-24 Romain de Coudenhove , Yannis Bendi-Ouis , Anthony Strock , Xavier Hinaut

Recurrent neural networks are a powerful means to cope with time series. We show how autoregressive linear, i.e., linearly activated recurrent neural networks (LRNNs) can approximate any time-dependent function f(t). The approximation can…

机器学习 · 计算机科学 2025-10-01 Frieder Stolzenburg , Sandra Litz , Olivia Michael , Oliver Obst

We first study the generalization error of models that use a fixed feature representation (frozen intermediate layers) followed by a trainable readout layer. This setting encompasses a range of architectures, from deep random-feature models…

统计理论 · 数学 2025-11-10 Yessin Moakher , Malik Tiomoko , Cosme Louart , Zhenyu Liao

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…

计算与语言 · 计算机科学 2020-02-28 Ankush Garg , Yuan Cao , Qi Ge