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We propose Echo State Networks (ESNs) to predict the statistics of extreme events in a turbulent flow. We train the ESNs on small datasets that lack information about the extreme events. We asses whether the networks are able to extrapolate…

流体动力学 · 物理学 2022-04-13 Alberto Racca , Luca Magri

Echo state networks are powerful recurrent neural networks. However, they are often unstable and shaky, making the process of finding an good ESN for a specific dataset quite hard. Obtaining a superb accuracy by using the Echo State Network…

机器学习 · 统计学 2018-02-22 Qiuyi Wu , Ernest Fokoue , Dhireesha Kudithipudi

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

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

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

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…

机器学习 · 计算机科学 2020-11-05 Nguyen Anh Khoa Doan , Wolfgang Polifke , Luca Magri

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

Spatio-temporal data and processes are prevalent across a wide variety of scientific disciplines. These processes are often characterized by nonlinear time dynamics that include interactions across multiple scales of spatial and temporal…

机器学习 · 统计学 2017-08-18 Patrick L. McDermott , Christopher K. Wikle

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…

机器学习 · 计算机科学 2026-04-08 Alexander Häußer

Echo State Networks (ESNs) are recurrent neural networks that only train their output layer, thereby precluding the need to backpropagate gradients through time, which leads to significant computational gains. Nevertheless, a common issue…

神经与进化计算 · 计算机科学 2019-03-13 Jacob Reinier Maat , Nikos Gianniotis , Pavlos Protopapas

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

Neural networks have proven to be remarkably successful for a wide range of complicated tasks, from image recognition and object detection to speech recognition and machine translation. One of their successes is the skill in prediction of…

机器学习 · 计算机科学 2021-11-15 Anton Pershin , Cedric Beaume , Kuan Li , Steven M. Tobias

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

Spatio-temporal area-level datasets play a critical role in official statistics, providing valuable insights for policy-making and regional planning. Accurate modeling and forecasting of these datasets can be extremely useful for…

机器学习 · 计算机科学 2026-01-06 Zhenhua Wang , Scott H. Holan , Christopher K. Wikle

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

Extreme event are sudden large-amplitude changes in the state or observables of chaotic nonlinear systems, which characterize many scientific phenomena. Because of their violent nature, extreme events typically have adverse consequences,…

机器学习 · 计算机科学 2023-08-08 Alberto Racca , Luca Magri

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

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

An Echo State Network (ESN) is a type of single-layer recurrent neural network with randomly-chosen internal weights and a trainable output layer. We prove under mild conditions that a sufficiently large Echo State Network can approximate…

动力系统 · 数学 2021-06-28 Allen G. Hart , Kevin R. Olding , A. M. G. Cox , Olga Isupova , J. H. P. Dawes

This study explores the use of Recurrent Neural Networks (RNN) for real-time cryptocurrency price prediction and optimized trading strategies. Given the high volatility of the cryptocurrency market, traditional forecasting models often fall…

统计金融 · 定量金融 2024-11-12 Shamima Nasrin Tumpa , Kehelwala Dewage Gayan Maduranga
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