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Little is known theoretically about the associative memory capabilities of neural networks in which information is encoded not only in the mean firing rate but also in the timing of firings. Particularly, in the case that the fraction of…

Disordered Systems and Neural Networks · Physics 2009-10-31 Toshio Aoyagi , Masaki Nomura

We propose automatic speech recognition (ASR) models inspired by echo state network (ESN), in which a subset of recurrent neural networks (RNN) layers in the models are randomly initialized and untrained. Our study focuses on RNN-T and…

Computation and Language · Computer Science 2021-02-19 Harsh Shrivastava , Ankush Garg , Yuan Cao , Yu Zhang , Tara Sainath

In this paper, the echo state network (ESN) memory capacity, which represents the amount of input data an ESN can store, is analyzed for a new type of deep ESNs. In particular, two deep ESN architectures are studied. First, a parallel deep…

Machine Learning · Computer Science 2019-08-21 Xuanlin Liu , Mingzhe Chen , Changchuan Yin , Walid Saad

Spiking neural networks (SNNs) represent a promising approach to developing artificial neural networks that are both energy-efficient and biologically plausible. However, applying SNNs to sequential tasks, such as text classification and…

Neural and Evolutionary Computing · Computer Science 2024-10-14 Changze Lv , Dongqi Han , Yansen Wang , Xiaoqing Zheng , Xuanjing Huang , Dongsheng Li

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

We identify a noise model that ensures the functioning of an echo state network employing a gate-based quantum computer for reservoir computing applications. Energy dissipation induced by amplitude damping drastically improves the…

Quantum Physics · Physics 2025-06-24 Francesco Monzani , Emanuele Ricci , Luca Nigro , Enrico Prati

We have investigated cooperative dynamics of an artificial stochastic resonant system, which is a recurrent ring connection of neuron-like signal transducers (NST) based on stochastic resonance (SR), using electronic circuit experiments.…

Disordered Systems and Neural Networks · Physics 2015-05-13 Yasushi Hotta , Teruo Kanki , Naoki Asakawa , Hitoshi Tabata , Tomoji Kawai

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

Constructing electronic models of neurons has several applications including reproducing dynamics of biological neurons and their networks and neuroprosthetics. In the brain, most neurons themselves are in a non-oscillatory mode, and brain…

Adaptation and Self-Organizing Systems · Physics 2023-05-09 Nikita M. Egorov , Marina V. Sysoeva , Vladimir I. Ponomarenko , Ilya V. Sysoev

Circuits of biological neurons, such as in the functional parts of the brain can be modeled as networks of coupled oscillators. Inspired by the ability of these systems to express a rich set of outputs while keeping (gradients of) state…

Machine Learning · Computer Science 2021-03-16 T. Konstantin Rusch , Siddhartha Mishra

We present a novel framework for central pattern generator design that leverages the intrinsic rebound excitability of neurons in combination with winner-takes-all computation. Our approach unifies decision-making and rhythmic pattern…

Systems and Control · Electrical Eng. & Systems 2025-04-16 Yongkang Huo , Fuvio Forni , Rodolphe Sepulchre

For a robot to be both autonomous and collaborative requires the ability to adapt its movement to a variety of external stimuli, whether these come from humans or other robots. Typically, legged robots have oscillation periods explicitly…

Robotics · Computer Science 2023-07-03 Alex Szorkovszky , Frank Veenstra , Kyrre Glette

In the field of complex dynamics, multistable attractors have been gaining a significant attention due to its unpredictability in occurrence and extreme sensitivity to initial conditions. Co-existing attractors are abundant in diverse…

Adaptation and Self-Organizing Systems · Physics 2024-06-12 Mousumi Roy , Swarnendu Mandal , Chittaranjan Hens , Awadhesh Prasad , N. V. Kuznetsov , Manish Dev Shrimali

The echo state property (ESP) represents a fundamental concept in the reservoir computing (RC) framework that ensures output-only training of reservoir networks by being agnostic to the initial states and far past inputs. However, the…

Quantum Physics · Physics 2024-09-04 Shumpei Kobayashi , Quoc Hoan Tran , Kohei Nakajima

We propose a novel approach to the generation of electromagnetic oscillations by means of a low-frequency pumping of two coupled linear oscillators. A theory of such generation mechanism is proposed, and its feasibility is demonstrated by…

General Physics · Physics 2013-10-04 Vyacheslav Buts , Dmitriy Vavriv , Oleg Nechayev , Dmitriy Tarasov

We present a model of the central pattern generator (CPG) network that can control gait transitions in hexapod robots in a simple manner based on phase reduction. The CPG network consists of six weakly coupled limit-cycle oscillators, whose…

Adaptation and Self-Organizing Systems · Physics 2025-06-18 Norihisa Namura , Hiroya Nakao

This article introduces a robust hybrid method for solving supervised learning tasks, which uses the Echo State Network (ESN) model and the Particle Swarm Optimization (PSO) algorithm. An ESN is a Recurrent Neural Network with the…

Neural and Evolutionary Computing · Computer Science 2015-01-05 Sebastián Basterrech , Enrique Alba , Václav Snášel

A recurrent neural network (RNN) possesses the echo state property (ESP) if, for a given input sequence, it ``forgets'' any internal states of the driven (nonautonomous) system and asymptotically follows a unique, possibly complex…

Dynamical Systems · Mathematics 2020-06-26 Andrea Ceni , Peter Ashwin , Lorenzo Livi , Claire Postlethwaite

Reservoir computing is a bio-inspired computing paradigm for processing time-dependent signals. Its hardware implementations have received much attention because of their simplicity and remarkable performance on a series of benchmark tasks.…

Neural and Evolutionary Computing · Computer Science 2018-02-07 Piotr Antonik , Marc Haelterman , Serge Massar

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