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In this paper, we explore the inclusion of latent random variables into the dynamic hidden state of a recurrent neural network (RNN) by combining elements of the variational autoencoder. We argue that through the use of high-level latent…

Machine Learning · Computer Science 2016-04-08 Junyoung Chung , Kyle Kastner , Laurent Dinh , Kratarth Goel , Aaron Courville , Yoshua Bengio

The notion of memory capacity, originally introduced for echo state and linear networks with independent inputs, is generalized to nonlinear recurrent networks with stationary but dependent inputs. The presence of dependence in the inputs…

Optimization and Control · Mathematics 2020-10-28 Lukas Gonon , Lyudmila Grigoryeva , Juan-Pablo Ortega

The effectiveness of recurrent neural networks can be largely influenced by their ability to store into their dynamical memory information extracted from input sequences at different frequencies and timescales. Such a feature can be…

Machine Learning · Computer Science 2020-07-01 Antonio Carta , Alessandro Sperduti , Davide Bacciu

Echo State Networks (ESNs) are known for their fast and precise one-shot learning of time series. But they often need good hyper-parameter tuning for best performance. For this good validation is key, but usually, a single validation split…

Machine Learning · Computer Science 2020-07-13 Mantas Lukoševičius , Arnas Uselis

This paper examines Echo State Network, a reservoir computer, performance using four different benchmark problems, then proposes heuristics or rules of thumb for configuring the architecture, as well as the selection of parameters and their…

Neural and Evolutionary Computing · Computer Science 2025-08-15 Brooke R. Weborg , Gursel Serpen

Recurrent neural networks (RNNs) are non-linear dynamic systems. Previous work believes that RNN may suffer from the phenomenon of chaos, where the system is sensitive to initial states and unpredictable in the long run. In this paper,…

Computation and Language · Computer Science 2020-04-30 Pourya Vakilipourtakalou , Lili Mou

Emotion analysis is a crucial problem to endow artifact machines with real intelligence in many large potential applications. As external appearances of human emotions, electroencephalogram (EEG) signals and video face signals are widely…

Computer Vision and Pattern Recognition · Computer Science 2018-05-10 Tong Zhang , Wenming Zheng , Zhen Cui , Yuan Zong , Yang Li

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

Scaling machine learning models significantly improves their performance. However, such gains come at the cost of inference being slow and resource-intensive. Early-exit neural networks (EENNs) offer a promising solution: they accelerate…

Recurrent neural networks (RNNs) are a vital modeling technique that rely on internal states learned indirectly by optimization of a supervised, unsupervised, or reinforcement training loss. RNNs are used to model dynamic processes that are…

Recurrent neural networks with a gating mechanism such as an LSTM or GRU are powerful tools to model sequential data. In the mechanism, a forget gate, which was introduced to control information flow in a hidden state in the RNN, has…

Machine Learning · Statistics 2021-11-08 Kentaro Ohno , Atsutoshi Kumagai

In this article, a study of the mean-square error (MSE) performance of linear echo-state neural networks is performed, both for training and testing tasks. Considering the realistic setting of noise present at the network nodes, we derive…

Machine Learning · Computer Science 2016-03-28 Romain Couillet , Gilles Wainrib , Harry Sevi , Hafiz Tiomoko Ali

Spiking Neural Networks (SNNs) are well known as a promising energy-efficient alternative to conventional artificial neural networks. Subject to the preconceived impression that SNNs are sparse firing, the analysis and optimization of…

Neural and Evolutionary Computing · Computer Science 2023-08-17 Man Yao , Jiakui Hu , Guangshe Zhao , Yaoyuan Wang , Ziyang Zhang , Bo Xu , Guoqi Li

Speech cognition bears potential application as a brain computer interface that can improve the quality of life for the otherwise communication impaired people. While speech and resting state EEG are popularly studied, here we attempt to…

Machine Learning · Computer Science 2020-10-13 Rini A Sharon , Hema A Murthy

Spiking neural networks (SNNs) support energy-efficient machine intelligence because event-driven computation and sparse activity map naturally to low-power digital hardware. In practical implementations, however, membrane states, synaptic…

Neural and Evolutionary Computing · Computer Science 2026-04-02 Lei Zhang

Recurrent Neural Networks (RNNs) frequently exhibit complicated dynamics, and their sensitivity to the initialization process often renders them notoriously hard to train. Recent works have shed light on such phenomena analyzing when…

Machine Learning · Computer Science 2022-10-12 Vaggos Chatziafratis , Ioannis Panageas , Clayton Sanford , Stelios Andrew Stavroulakis

We demonstrate the existence of stochastic resonance (SR) in confined systems arising from entropy variations associated to the presence of irregular boundaries. When the motion of a Brownian particle is constrained to a region with uneven…

Statistical Mechanics · Physics 2009-06-05 P. S. Burada , G. Schmid , D. Reguera , J. M. Rubi , P. Hänggi

Spiking neural networks (SNNs) exploit event-driven and addition-only computation to substantially improve efficiency for intelligent computation. A key temporal property of SNNs, elastic inference, allows outputs to emerge progressively,…

Hardware Architecture · Computer Science 2026-05-21 Kang You , Chen Nie , Lee Jun Yan , Ziling Wei , Cheng Zou , Zekai Xu , Yu Feng , Honglan Jiang , Zhezhi He

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…

Fluid Dynamics · Physics 2022-04-13 Alberto Racca , Luca Magri

Early-exiting neural networks enable adaptive inference by allowing inputs to exit at intermediate classifiers, reducing computation for easy samples while maintaining high accuracy. In practice, exits can be trained sequentially by…

Machine Learning · Computer Science 2026-05-08 Alaa Zniber , Ouassim Karrakchou , Mounir Ghogho