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Echo State Networks (ESNs) are a class of single-layer recurrent neural networks with randomly generated internal weights, and a single layer of tuneable outer weights, which are usually trained by regularised linear least squares…

Machine Learning · Computer Science 2021-04-07 Allen G Hart , James L Hook , Jonathan H P Dawes

Reservoir Computing has found many potential applications in the field of complex dynamics. In this article, we exploit the exceptional capability of the echo-state network (ESN) model to make it learn a unidirectional coupling scheme from…

Machine Learning · Computer Science 2023-06-21 Swarnendu Mandal , Manish Dev Shrimali

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…

Machine Learning · Computer Science 2026-02-02 Matteo Pinna , Giacomo Lagomarsini , Andrea Ceni , Claudio Gallicchio

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

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…

Machine Learning · Computer Science 2026-01-06 Zhenhua Wang , Scott H. Holan , Christopher K. Wikle

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

Brain-inspired computing proposes a set of algorithmic principles that hold promise for advancing artificial intelligence. They endow systems with self learning capabilities, efficient energy usage, and high storage capacity. A core concept…

Neural and Evolutionary Computing · Computer Science 2022-12-01 Younes Bouhadjar , Sebastian Siegel , Tom Tetzlaff , Markus Diesmann , Rainer Waser , Dirk J. Wouters

Deep learning has driven significant technological advancements, but its high energy consumption limits its use on battery-operated edge devices. Spiking Neural Networks (SNNs) offer promising reductions in inference-time energy…

Hardware Architecture · Computer Science 2026-04-21 Zhanglu Yan , Zhenyu Bai , Tulika Mitra , Weng-Fai Wong

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

Background/introduction: Cross-Validation (CV) is still uncommon in time series modeling. Echo State Networks (ESNs), as a prime example of Reservoir Computing (RC) models, are known for their fast and precise one-shot learning, that often…

Machine Learning · Computer Science 2021-03-05 Mantas Lukoševičius , Arnas Uselis

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…

Neurons and Cognition · Quantitative Biology 2018-06-19 Anthony Strock , Nicolas Rougier , Xavier Hinaut

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,…

Machine Learning · Statistics 2018-09-05 Patrick L. McDermott , Christopher K. Wikle

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…

Physics and Society · Physics 2019-06-28 Nguyen Anh Khoa Doan , Wolfgang Polifke , Luca Magri

Echo state networks are computationally lightweight reservoir models inspired by the random projections observed in cortical circuitry. As interest in reservoir computing has grown, networks have become deeper and more intricate. While…

Signal Processing · Electrical Eng. & Systems 2019-08-23 Zachariah Carmichael , Humza Syed , Dhireesha Kudithipudi

Spiking Neural Networks (SNNs), particularly Spiking Transformers, offer energy-efficient processing of event-based sensor data for healthcare applications. Yet current architectures are rigid: they are trained and deployed as static…

Neural and Evolutionary Computing · Computer Science 2026-05-15 Alberto Ancilotto , Gianluca Amprimo , Stefano Di Carlo , Elisabetta Farella

Eye tracking for wearable systems demands low latency and milliwatt-level power, but conventional frame-based pipelines struggle with motion blur, high compute cost, and limited temporal resolution. Such capabilities are vital for enabling…

Computer Vision and Pattern Recognition · Computer Science 2025-12-12 Paul Hueber , Luca Peres , Florian Pitters , Alejandro Gloriani , Oliver Rhodes

Despite the superiority of convolutional neural networks demonstrated in time series modeling and forecasting, it has not been fully explored on the design of the neural network architecture and the tuning of the hyper-parameters. Inspired…

Machine Learning · Computer Science 2022-02-14 Xinze Zhang , Kun He , Yukun Bao

Therapeutic intervention in neurological disorders still relies heavily on pharmacological solutions, while the treatment of patients with drug resistance remains an open challenge. This is particularly true for patients with epilepsy, 30%…

Human-Computer Interaction · Computer Science 2022-10-20 Margherita Ronchini , Yasser Rezaeiyan , Milad Zamani , Gabriella Panuccio , Farshad Moradi

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

Reservoir computing is a highly efficient machine learning framework for processing temporal data by extracting features from the input signal and mapping them into higher dimensional spaces. Physical reservoir layers have been realized…

Machine Learning · Computer Science 2023-11-17 Md Razuan Hossain , Ahmed Salah Mohamed , Nicholas Xavier Armendarez , Joseph S. Najem , Md Sakib Hasan
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