132 citations · 269 across the 11 of their papers we have counts for
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math.DS2020★ 47 cited
Chaos on compact manifolds: Differentiable synchronizations beyond the Takens theorem
Lyudmila Grigoryeva, Allen Hart, Juan-Pablo Ortega
This paper shows that a large class of fading memory state-space systems driven by discrete-time observations of dynamical systems defined on compact manifolds always yields contin…
cs.LG2020★ 55 cited
Echo State Networks trained by Tikhonov least squares are L2(μ) approximators of ergodic dynamical systems
Allen G Hart, James L Hook, Jonathan H P Dawes
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 weights, which are u…