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The ability to process time-series at low energy cost is critical for many applications. Recurrent neural network, which can perform such tasks, are computationally expensive when implementing in software on conventional computers. Here we…

Disordered Systems and Neural Networks · Physics 2025-03-05 Erwan Plouet , Dédalo Sanz-Hernández , Aymeric Vecchiola , Julie Grollier , Frank Mizrahi

This work studies approximation based on single-hidden-layer feedforward and recurrent neural networks with randomly generated internal weights. These methods, in which only the last layer of weights and a few hyperparameters are optimized,…

Probability · Mathematics 2021-02-17 Lukas Gonon , Lyudmila Grigoryeva , Juan-Pablo Ortega

Unsupervised learning of compact and relevant state representations has been proved very useful at solving complex reinforcement learning tasks. In this paper, we propose a recurrent capsule network that learns such representations by…

Machine Learning · Computer Science 2019-02-25 Louis Annabi , Michael Garcia Ortiz

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

A particular case of Recurrent Neural Network (RNN) was introduced at the beginning of the 2000s under the name of Echo State Networks (ESNs). The ESN model overcomes the limitations during the training of the RNNs while introducing no…

Machine Learning · Computer Science 2015-01-06 Sebastián Basterrech

Photonic implementations of reservoir computing (RC) promise to reach ultra-high bandwidth of operation with moderate training efforts. Several optoelectronic demonstrations reported state of the art performances for hard tasks as speech…

Applied Physics · Physics 2021-08-19 Massimo Borghi , Stefano Biasi , Lorenzo Pavesi

Photonic reservoir computing has been successfully utilized in time-series prediction as the need for hardware implementations has increased. Prediction of chaotic time series remains a significant challenge, an area where the conventional…

Emerging Technologies · Computer Science 2024-05-03 Felix Köster , Kazutaka Kanno , Jun Ohkubo , Atsushi Uchida

Reservoir computing (RC), a particular form of recurrent neural network, is under explosive development due to its exceptional efficacy and high performance in reconstruction or/and prediction of complex physical systems. However, the…

Machine Learning · Computer Science 2023-05-10 Xing-Yue Duan , Xiong Ying , Si-Yang Leng , Jürgen Kurths , Wei Lin , Huan-Fei Ma

Using the machine learning approach known as reservoir computing, it is possible to train one dynamical system to emulate another. We show that such trained reservoir computers reproduce the properties of the attractor of the chaotic system…

Neural and Evolutionary Computing · Computer Science 2018-08-01 Piotr Antonik , Marvyn Gulina , Jaël Pauwels , Serge Massar

Coupled networks of mass-spring resonators have attracted growing attention across multiple fundamental and applied research directions, including reservoir computing for artificial intelligence. This has led to the exploration of platforms…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Andrea Grimaldi , Davi R. Rodrigues , Andrea Meo , Francesca Garescì , Giovanni Finocchio

Many developments in science and engineering depend on tackling complex optimizations on large scales. The challenge motivates intense search for specific computing hardware that takes advantage from quantum features, nonlinear dynamics, or…

How can we efficiently propagate uncertainty in a latent state representation with recurrent neural networks? This paper introduces stochastic recurrent neural networks which glue a deterministic recurrent neural network and a state space…

Machine Learning · Statistics 2016-11-15 Marco Fraccaro , Søren Kaae Sønderby , Ulrich Paquet , Ole Winther

State-space models have gained popularity in sequence modelling due to their simple and efficient network structures. However, the absence of nonlinear activation along the temporal direction limits the model's capacity. In this paper, we…

Machine Learning · Computer Science 2023-11-02 Shida Wang , Beichen Xue

We propose reinforcement learning on simple networks consisting of random connections of spiking neurons (both recurrent and feed-forward) that can learn complex tasks with very little trainable parameters. Such sparse and randomly…

Machine Learning · Computer Science 2019-06-06 Wachirawit Ponghiran , Gopalakrishnan Srinivasan , Kaushik Roy

Echo State Networks (ESNs) are time-series processing models working under the Echo State Property (ESP) principle. The ESP is a notion of stability that imposes an asymptotic fading of the memory of the input. On the other hand, the…

Machine Learning · Computer Science 2023-09-06 Andrea Ceni , Claudio Gallicchio

Feedback-driven quantum reservoir computing has so far been studied primarily in gate-based architectures, motivating alternative scalable, hardware-friendly physical platforms. Here we investigate a linear-optical quantum reservoir…

Quantum Physics · Physics 2026-02-20 Çağın Ekici

A reservoir computer is a special type of neural network, where most of the weights are randomly fixed and only a subset are trained. In this thesis we prove results about reservoir computers trained on deterministic dynamical systems, and…

Dynamical Systems · Mathematics 2021-12-28 Allen G Hart

Reservoir computing (RC) offers a neuromorphic framework that is particularly effective for processing spatiotemporal signals. Known for its temporal processing prowess, RC significantly lowers training costs compared to conventional…

Neural and Evolutionary Computing · Computer Science 2025-03-24 Ankur Singh , Sanghyeon Choi , Gunuk Wang , Maryaradhiya Daimari , Byung-Geun Lee

We introduce a new approach to reservoir computing based on up-sampling and modulation, utilizing semiconductor optical amplifier and photodetector as nonlinear elements without conventionally used delay loop. We demonstrated the 400-step…

Applied Physics · Physics 2024-07-03 E. Manuylovich , A. E. Bednyakova , D. A. Ivoilov , I. S. Terekhov , S. K. Turitsyn

Several authors have reported that the echo state network reproduces bifurcation diagrams of some nonlinear differential equations using the data for a few control parameters. We demonstrate that a simpler feedforward neural network can…

Chaotic Dynamics · Physics 2024-09-13 Hidetsugu Sakaguchi