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Machine learning (ML) is widely used to model chaotic systems. Among ML approaches, echo state networks (ESNs) have received considerable attention due to their simple construction and fast training. However, ESN performance is highly…

Chaotic Dynamics · Physics 2025-07-09 Francesco Martinuzzi

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…

Machine Learning · Computer Science 2022-05-11 Peter Steiner , Azarakhsh Jalalvand , Peter Birkholz

Quantum reservoir computing is a class of quantum machine learning algorithms involving a reservoir of an echo state network based on a register of qubits, but the dependence of its memory capacity on the hyperparameters is still rather…

Quantum Physics · Physics 2023-02-24 Riccardo Molteni , Claudio Destri , Enrico Prati

Echo state networks (ESNs) have been recently proved to be universal approximants for input/output systems with respect to various $L ^p$-type criteria. When $1\leq p< \infty$, only $p$-integrability hypotheses need to be imposed, while in…

Neural and Evolutionary Computing · Computer Science 2020-10-26 Lukas Gonon , Juan-Pablo Ortega

Over the last decade, deep-learning methods have been gradually incorporated into conventional automatic speech recognition (ASR) frameworks to create acoustic, pronunciation, and language models. Although it led to significant improvements…

Sound · Computer Science 2022-05-26 Zohreh Ansari , Farzin Pourhoseini , Fatemeh Hadaeghi

The need to develop a general framework for architecture analysis is becoming increasingly important, given the expanding design space of sequence models. To this end, we draw insights from classical signal processing and control theory, to…

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

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

In this study, we use a reservoir computing based echo state network (ESN) to predict the collective burst synchronization of neurons. Specifically, we investigate the ability of ESN in predicting the burst synchronization of an ensemble of…

Neurons and Cognition · Quantitative Biology 2022-06-22 Mousumi Roy , Abhishek Senapati , Swarup Poria , Arindam Mishra , Chittaranjan Hens

Convolutional neural networks (CNNs), such as the time-delay neural network (TDNN), have shown their remarkable capability in learning speaker embedding. However, they meanwhile bring a huge computational cost in storage size, processing,…

Audio and Speech Processing · Electrical Eng. & Systems 2022-06-22 Rui Wang , Zhihua Wei , Haoran Duan , Shouling Ji , Yang Long , Zhen Hong

We propose a deep architecture for the classification of multivariate time series. By means of a recurrent and untrained reservoir we generate a vectorial representation that embeds temporal relationships in the data. To improve the…

Neural and Evolutionary Computing · Computer Science 2018-02-15 Filippo Maria Bianchi , Simone Scardapane , Sigurd Løkse , Robert Jenssen

Humans excel at lifelong learning, as the brain has evolved to be robust to distribution shifts and noise in our ever-changing environment. Deep neural networks (DNNs), however, exhibit catastrophic forgetting and the learned…

Machine Learning · Computer Science 2023-02-23 Fahad Sarfraz , Elahe Arani , Bahram Zonooz

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…

Machine Learning · Computer Science 2021-03-16 Alberto Racca , Luca Magri

Echo States Networks (ESN) and Long-Short Term Memory networks (LSTM) are two popular architectures of Recurrent Neural Networks (RNN) to solve machine learning task involving sequential data. However, little have been done to compare their…

Neural and Evolutionary Computing · Computer Science 2020-12-15 Alexandre Variengien , Xavier Hinaut

Differentiable neural computers extend artificial neural networks with an explicit memory without interference, thus enabling the model to perform classic computation tasks such as graph traversal. However, such models are difficult to…

Machine Learning · Computer Science 2022-06-06 Benjamin Paaßen , Alexander Schulz , Terrence C. Stewart , Barbara Hammer

In real-world applications such as emotion recognition from recorded brain activity, data are captured from electrodes over time. These signals constitute a multidimensional time series. In this paper, Echo State Network (ESN), a recurrent…

Computer Vision and Pattern Recognition · Computer Science 2018-11-26 Rahma Fourati , Boudour Ammar , Javier Sanchez-Medina , Adel M. Alimi

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-24 Romain de Coudenhove , Yannis Bendi-Ouis , Anthony Strock , Xavier Hinaut

Deep learning has seen a rapid adoption in a variety of wireless communications applications, including at the physical layer. While it has delivered impressive performance in tasks such as channel equalization and receive processing/symbol…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Shashank Jere , Karim Said , Lizhong Zheng , Lingjia Liu

The effectiveness of deep neural networks (DNN) in vision, speech, and language processing has prompted a tremendous demand for energy-efficient high-performance DNN inference systems. Due to the increasing memory intensity of most DNN…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-15 Skanda Koppula , Lois Orosa , Abdullah Giray Yağlıkçı , Roknoddin Azizi , Taha Shahroodi , Konstantinos Kanellopoulos , Onur Mutlu

Recurrent Neural Networks (RNNs) have been a prominent concept within artificial intelligence. They are inspired by Biological Neural Networks (BNNs) and provide an intuitive and abstract representation of how BNNs work. Derived from the…

Neural and Evolutionary Computing · Computer Science 2017-03-09 Stefano Nichele , Andreas Molund