Search Results - "Hart, Allen G."
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A hidden Markov model for describing turbostratic disorder applied to carbon blacks and graphene
Published in Acta crystallographica. Section A, Foundations and advances (01-05-2019)“…A mathematical framework is presented to represent turbostratic disorder in materials like carbon blacks, smectites and twisted n‐layer graphene. In…”
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Generalised synchronisations, embeddings, and approximations for continuous time reservoir computers
Published in Physica. D (01-02-2024)Get full text
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Echo State Networks trained by Tikhonov least squares are L 2 ( μ ) approximators of ergodic dynamical systems
Published in Physica. D (01-07-2021)Get full text
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Echo State Networks trained by Tikhonov least squares are L2(μ) approximators of ergodic dynamical systems
Published in Physica. D (01-07-2021)“…Echo State Networks (ESNs) are a class of single-layer recurrent neural networks with randomly generated internal weights, and a single layer of tuneable outer…”
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Generalised Synchronisations, Embeddings, and Approximations for Continuous Time Reservoir Computers
Published 17-11-2022“…We establish conditions under which a continuous time reservoir computer, such as a leaky integrator echo state network, admits a generalised synchronisation…”
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(Thesis) Reservoir Computing With Dynamical Systems
Published 28-11-2021“…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…”
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Echo State Networks trained by Tikhonov least squares are L2({\mu}) approximators of ergodic dynamical systems
Published 18-02-2021“…Echo State Networks (ESNs) are a class of single-layer recurrent neural networks with randomly generated internal weights, and a single layer of tuneable outer…”
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A Markov theoretic description of stacking disordered aperiodic crystals including ice and opaline silica
Published 16-02-2021“…July 2018 Acta Crystallographica Section A: Foundations and Advances 74(4):357-372 We review the Markov theoretic description of 1D aperiodic crystals,…”
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Embedding and Approximation Theorems for Echo State Networks
Published 18-05-2020“…Echo State Networks (ESNs) are a class of single layer recurrent neural networks that have enjoyed recent attention. In this paper we prove that a suitable…”
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Using Echo State Networks to Approximate Value Functions for Control
Published 11-02-2021“…An Echo State Network (ESN) is a type of single-layer recurrent neural network with randomly-chosen internal weights and a trainable output layer. We prove…”
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