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content/publication/chaos-compact-manifolds-2021.md

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tags: ["Chaos Theory", "Dynamical Systems", "Synchronization"]
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author: "L. Grigoryeva, A. Hart, J.P. Ortega"
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description: "Analysis of chaos on compact manifolds and differentiable synchronizations beyond the Takens theorem."
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summary: "Analysis of chaos on compact manifolds and differentiable synchronizations beyond the Takens theorem. Cited by 54."
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summary: "Analysis of chaos on compact manifolds and differentiable synchronizations beyond the Takens theorem."
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L. Grigoryeva, A. Hart, and J.P. Ortega. "Chaos on compact manifolds: Differentiable synchronizations beyond the Takens theorem." *Physical Review E* 103 (6), 062204, 2021.
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**Cited by: 54**
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## Links
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- [Publisher](https://doi.org/10.1103/PhysRevE.103.062204)

content/publication/echo-state-tikhonov-2021.md

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tags: ["Echo State Networks", "Reservoir Computing", "Approximation Theory"]
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author: "Allen G. Hart, James L. Hook, Jonathan H.P. Dawes"
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description: "Theoretical analysis showing echo state networks trained by Tikhonov least squares are L2(μ) approximators of ergodic dynamical systems."
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summary: "Theoretical analysis showing echo state networks trained by Tikhonov least squares are L2(μ) approximators of ergodic dynamical systems. Cited by 66."
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summary: "Theoretical analysis showing echo state networks trained by Tikhonov least squares are L2(μ) approximators of ergodic dynamical systems."
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Allen G. Hart, James L. Hook, and Jonathan H.P. Dawes. "Echo state networks trained by Tikhonov least squares are L2(μ) approximators of ergodic dynamical systems." *Physica D: Nonlinear Phenomena* 421, 132882, 2021.
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**Cited by: 66**
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## Links
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- [Publisher](https://doi.org/10.1016/j.physd.2021.132882)

content/publication/echo-state-value-functions-2021.md

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tags: ["Echo State Networks", "Reinforcement Learning", "Control Theory"]
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author: "Allen G. Hart, K.R. Olding, A.M.G. Cox, O. Isupova, Jonathan H.P. Dawes"
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description: "Application of echo state networks to approximate value functions in control problems."
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summary: "Application of echo state networks to approximate value functions in control problems. Cited by 5."
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summary: "Application of echo state networks to approximate value functions in control problems."
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Allen G. Hart, K.R. Olding, A.M.G. Cox, O. Isupova, and Jonathan H.P. Dawes. "Using echo state networks to approximate value functions for control." arXiv preprint arXiv:2102.06258, 2021.
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**Cited by: 5**
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## Links
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- [arXiv](https://arxiv.org/abs/2102.06258)

content/publication/embedding-approximation-esn-2020.md

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tags: ["Echo State Networks", "Approximation Theory", "Recurrent Neural Networks"]
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author: "A. Hart, J. Hook, J. Dawes"
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description: "Theoretical foundations of embedding and approximation properties for echo state networks."
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summary: "Theoretical foundations of embedding and approximation properties for echo state networks. Cited by 149."
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summary: "Theoretical foundations of embedding and approximation properties for echo state networks."
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featured: true
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A. Hart, J. Hook, and J. Dawes. "Embedding and approximation theorems for echo state networks." *Neural Networks* 128, 234-247, 2020.
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**Cited by: 149**
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## Links
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- [Publisher](https://doi.org/10.1016/j.neunet.2020.05.013)
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## Abstract
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Available at publisher website.
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## Note
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This is one of the most highly cited papers in the field of echo state networks and reservoir computing.

content/publication/generalised-synchronisations-2024.md

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tags: ["Reservoir Computing", "Dynamical Systems", "Synchronisation"]
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author: "Allen G. Hart"
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description: "Analysis of generalised synchronisations, embeddings, and approximations for continuous time reservoir computers."
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summary: "Analysis of generalised synchronisations, embeddings, and approximations for continuous time reservoir computers. Cited by 9."
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summary: "Analysis of generalised synchronisations, embeddings, and approximations for continuous time reservoir computers."
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Allen G. Hart. "Generalised synchronisations, embeddings, and approximations for continuous time reservoir computers." *Physica D: Nonlinear Phenomena* 458, 133956, 2024.
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**Cited by: 9**
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## Links
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- [Publisher](https://doi.org/10.1016/j.physd.2023.133956)

content/publication/hidden-markov-carbon-2019.md

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tags: ["Crystallography", "Hidden Markov Models", "Materials Science"]
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author: "Allen G. Hart, T.C. Hansen, W.F. Kuhs"
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description: "Application of hidden Markov models to describe turbostratic disorder in carbon blacks and graphene."
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summary: "Application of hidden Markov models to describe turbostratic disorder in carbon blacks and graphene. Cited by 2."
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summary: "Application of hidden Markov models to describe turbostratic disorder in carbon blacks and graphene."
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Allen G. Hart, T.C. Hansen, and W.F. Kuhs. "A hidden Markov model for describing turbostratic disorder applied to carbon blacks and graphene." *Foundations of Crystallography* 75 (3), 501-516, 2019.
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**Cited by: 2**
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## Links
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- [Publisher](https://doi.org/10.1107/S2053273319003789)

content/publication/learning-strange-attractors-2023.md

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tags: ["Reservoir Computing", "Dynamical Systems", "Strange Attractors"]
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author: "L. Grigoryeva, A. Hart, J.P. Ortega"
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description: "Investigation of learning strange attractors using reservoir computing systems."
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summary: "Investigation of learning strange attractors using reservoir computing systems. Cited by 40."
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summary: "Investigation of learning strange attractors using reservoir computing systems."
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L. Grigoryeva, A. Hart, and J.P. Ortega. "Learning strange attractors with reservoir systems." *Nonlinearity* 36 (9), 4674, 2023.
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**Cited by: 40**
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## Links
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- [Publisher](https://doi.org/10.1088/1361-6544/ace492)

content/publication/llms-mathematics-papers-2025.md

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content/publication/markov-stacking-disorder-2018.md

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tags: ["Crystallography", "Markov Theory", "Materials Science"]
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author: "Allen G. Hart, T.C. Hansen, W.F. Kuhs"
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description: "Markov theoretic framework for describing stacking-disordered aperiodic crystals, with applications to ice and opaline silica."
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summary: "Markov theoretic framework for describing stacking-disordered aperiodic crystals, with applications to ice and opaline silica. Cited by 6."
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summary: "Markov theoretic framework for describing stacking-disordered aperiodic crystals, with applications to ice and opaline silica."
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Allen G. Hart, T.C. Hansen, and W.F. Kuhs. "A Markov theoretic description of stacking-disordered aperiodic crystals including ice and opaline silica." *Foundations of Crystallography* 74 (4), 357-372, 2018.
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**Cited by: 6**
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## Links
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- [Publisher](https://doi.org/10.1107/S2053273318003765)

content/publication/reservoir-computing-dynamical-systems-2022.md

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tags: ["Reservoir Computing", "PhD Thesis", "Dynamical Systems"]
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author: "Allen G. Hart"
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description: "PhD thesis on reservoir computing with dynamical systems from the University of Bath."
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summary: "PhD thesis on reservoir computing with dynamical systems from the University of Bath. Cited by 3."
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summary: "PhD thesis on reservoir computing with dynamical systems from the University of Bath."
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Allen G. Hart. "Reservoir Computing with Dynamical Systems." PhD Thesis, University of Bath, 2022.
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**Cited by: 3**
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## Links
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- [University Repository](https://researchportal.bath.ac.uk/)

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