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The Echo State Network (ESN) is a class of Recurrent Neural Network with a large number of hidden-hidden weights (in the so-called reservoir). Canonical ESN and its variations have recently received significant attention due to their…

Neural and Evolutionary Computing · Computer Science 2022-09-30 Sebastian Basterrech , Gerardo Rubino

In the field of complex dynamics, multistable attractors have been gaining a significant attention due to its unpredictability in occurrence and extreme sensitivity to initial conditions. Co-existing attractors are abundant in diverse…

Adaptation and Self-Organizing Systems · Physics 2024-06-12 Mousumi Roy , Swarnendu Mandal , Chittaranjan Hens , Awadhesh Prasad , N. V. Kuznetsov , Manish Dev Shrimali

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…

Machine Learning · Computer Science 2026-04-08 Alexander Häußer

Echo State Networks (ESNs) are widely-used Recurrent Neural Networks. They are dynamical systems including, in state-space form, a nonlinear state equation and a linear output transformation. The common procedure to train ESNs is to…

Systems and Control · Electrical Eng. & Systems 2019-12-05 Luca Bugliari Armenio , Lorenzo Fagiano , Enrico Terzi , Marcello Farina , Riccardo Scattolini

Chaotic time series forecasting has been far less understood despite its tremendous potential in theory and real-world applications. Traditional statistical/ML methods are inefficient to capture chaos in nonlinear dynamical systems,…

Numerical Analysis · Mathematics 2023-10-24 Xiangyi Meng , Tong Yang

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…

Computation and Language · Computer Science 2020-02-28 Ankush Garg , Yuan Cao , Qi Ge

We propose automatic speech recognition (ASR) models inspired by echo state network (ESN), in which a subset of recurrent neural networks (RNN) layers in the models are randomly initialized and untrained. Our study focuses on RNN-T and…

Computation and Language · Computer Science 2021-02-19 Harsh Shrivastava , Ankush Garg , Yuan Cao , Yu Zhang , Tara Sainath

We explore the influence of precision of the data and the algorithm for the simulation of chaotic dynamics by neural networks techniques. For this purpose, we simulate the Lorenz system with different precisions using three different neural…

Neural and Evolutionary Computing · Computer Science 2020-11-09 S. Bompas , B. Georgeot , D. Guéry-Odelin

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…

Quantum Physics · Physics 2024-12-12 Erik Connerty , Ethan Evans , Gerasimos Angelatos , Vignesh Narayanan

Parameterized state space models in the form of recurrent networks are often used in machine learning to learn from data streams exhibiting temporal dependencies. To break the black box nature of such models it is important to understand…

Machine Learning · Computer Science 2020-02-18 Peter Tino

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…

Systems and Control · Electrical Eng. & Systems 2023-12-06 Ajit Mahata , Reetish Padhi , Amit Apte

We propose an approximation of Echo State Networks (ESN) that can be efficiently implemented on digital hardware based on the mathematics of hyperdimensional computing. The reservoir of the proposed integer Echo State Network (intESN) is a…

Neural and Evolutionary Computing · Computer Science 2022-09-02 Denis Kleyko , E. Paxon Frady , Mansour Kheffache , Evgeny Osipov

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…

Machine Learning · Computer Science 2021-11-15 Anton Pershin , Cedric Beaume , Kuan Li , Steven M. Tobias

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…

Data Analysis, Statistics and Probability · Physics 2021-03-19 Erik Bollt

This paper explores the problem of training a recurrent neural network from noisy data. While neural network based dynamic predictors perform well with noise-free training data, prediction with noisy inputs during training phase poses a…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Debdipta Goswami

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…

Machine Learning · Computer Science 2021-05-04 Chenxi Sun , Shenda Hong , Moxian Song , Yanxiu Zhou , Yongyue Sun , Derun Cai , Hongyan Li

Noise reduction is a relevant topic when considering the application of chaotic signals in practical problems, such as communication systems or modeling biomedical signals. In this paper an echo state network (ESN) is employed to denoise a…

Signal Processing · Electrical Eng. & Systems 2023-09-20 André L. O. Duarte , Marcio Eisencraft

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

Echo state networks (ESN), a type of reservoir computing (RC) architecture, are efficient and accurate artificial neural systems for time series processing and learning. An ESN consists of a core of recurrent neural networks, called a…

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

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…

Machine Learning · Computer Science 2024-01-22 Yansong Li , Kai Hu , Kohei Nakajima , Yongping Pan