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Echo-State Networks and Reservoir Computing have been studied for more than a decade. They provide a simpler yet powerful alternative to Recurrent Neural Networks, every internal weight is fixed and only the last linear layer is trained.…

Emerging Technologies · Computer Science 2018-09-25 Jonathan Dong , Sylvain Gigan , Florent Krzakala , Gilles Wainrib

A novel deep neural network framework -- that we refer to as Deep Dynamic Factor Model (D$^2$FM) --, is able to encode the information available, from hundreds of macroeconomic and financial time-series into a handful of unobserved latent…

Econometrics · Economics 2023-05-23 Paolo Andreini , Cosimo Izzo , Giovanni Ricco

Neural networks offer a versatile, flexible and accurate approach to loss reserving. However, such applications have focused primarily on the (important) problem of fitting accurate central estimates of the outstanding claims. In practice,…

Methodology · Statistics 2022-08-09 Muhammed Taher Al-Mudafer , Benjamin Avanzi , Greg Taylor , Bernard Wong

Forecasting nonlinear time series with multi-scale temporal structures remains a central challenge in complex systems modeling. We present a novel reservoir computing framework that combines delay embedding with random Fourier feature (RFF)…

Neural and Evolutionary Computing · Computer Science 2025-11-20 S. K. Laha

Continuous Time Echo State Networks (CTESNs) are a promising yet under-explored surrogate modeling technique for dynamical systems, particularly those governed by stiff Ordinary Differential Equations (ODEs). A key determinant of the…

Computational Engineering, Finance, and Science · Computer Science 2024-01-25 Saakaar Bhatnagar

Reservoir computing (RC) is a special recurrent neural network which consists of a fixed high dimensional feature mapping and trained readout weights. In this paper, we introduce a new RC structure for multiple-input, multiple-output…

Signal Processing · Electrical Eng. & Systems 2020-11-30 Zhou Zhou , Lingjia Liu , Hao-Hsuan Chang

Short-term load forecasting (STLF) is challenging due to complex time series (TS) which express three seasonal patterns and a nonlinear trend. This paper proposes a novel hybrid hierarchical deep learning model that deals with multiple…

Machine Learning · Computer Science 2021-12-07 Slawek Smyl , Grzegorz Dudek , Paweł Pełka

Reservoir computing is a recently introduced machine learning paradigm that has been shown to be well-suited for the processing of spatiotemporal data. Rather than training the network node connections and weights via backpropagation in…

Neural and Evolutionary Computing · Computer Science 2016-07-20 Ashley Prater

Understanding microstructure-property relationships (MPRs) is essential for optimising the performance of multiphase composites. Image-based poro/micro-mechanical modelling provides a non-invasive approach to exploring MPRs, but the…

Applied Physics · Physics 2025-01-22 Jinlong Fu , Wei Tan

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 (ESNs) distil a key neurobiological insight: richly recurrent but fixed circuitry combined with adaptive linear read-outs can transform temporal streams with remarkable efficiency. Yet fundamental questions about…

Neural and Evolutionary Computing · Computer Science 2025-07-25 Pradeep Singh , Lavanya Sankaranarayanan , Balasubramanian Raman

Reservoir computing (RC) represents a class of state-space models (SSMs) characterized by a fixed state transition mechanism (the reservoir) and a flexible readout layer that maps from the state space. It is a paradigm of computational…

Machine Learning · Computer Science 2025-04-17 Pradeep Singh , Ashutosh Kumar , Sutirtha Ghosh , Hrishit B P , Balasubramanian Raman

Despite the recent popularity of deep generative state space models, few comparisons have been made between network architectures and the inference steps of the Bayesian filtering framework -- with most models simultaneously approximating…

Machine Learning · Statistics 2020-09-29 Bryan Lim , Stefan Zohren , Stephen Roberts

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

Neural networks have found extensive application in data-driven control of nonlinear dynamical systems, yet fast online identification and control of unknown dynamics remain central challenges. To meet these challenges, this paper…

Systems and Control · Electrical Eng. & Systems 2026-02-09 Daisuke Inoue , Tadayoshi Matsumori , Gouhei Tanaka , Yuji Ito

The paradigm of reservoir computing exploits the nonlinear dynamics of a physical reservoir to perform complex time-series processing tasks such as speech recognition and forecasting. Unlike other machine-learning approaches, reservoir…

Quantum Physics · Physics 2021-11-08 Saeed Ahmed Khan , Fangjun Hu , Gerasimos Angelatos , Hakan E. Türeci

Deep Feedback Models (DFMs) are a new class of stateful neural networks that combine bottom up input with high level representations over time. This feedback mechanism introduces dynamics into otherwise static architectures, enabling DFMs…

Computer Vision and Pattern Recognition · Computer Science 2025-09-22 David Calhas , Arlindo L. Oliveira

Modeling large dependent datasets in modern time series analysis is a crucial research area. One effective approach to handle such datasets is to transform the observations into density functions and apply statistical methods for further…

Methodology · Statistics 2025-07-23 Yinzhi Wang , Yingqiu Zhu , Ben-Chang Shia , Lei Qin

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

Inspired by recent theoretical arguments, physics-informed echo state network (ESN) is discussed on the attempt to train a reservoir model absolutely in physics-informed manner. As the plainest work on such a purpose, an ODE (ordinary…

Machine Learning · Computer Science 2020-11-16 Dong Keun Oh
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