Explicit construction of recurrent neural networks effectively approximating discrete dynamical systems

Chikara Nakayama; Tsuyoshi Yoneda

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arXiv · 2409.19278

Explicit construction of recurrent neural networks effectively approximating discrete dynamical systems

Chikara Nakayama·Tsuyoshi Yoneda

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Abstract

We consider arbitrary bounded discrete time series originating from dynamical system with recursivity. More precisely, we provide an explicit construction of recurrent neural networks which effectively approximate the corresponding discrete dynamical systems.

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Chikara Nakayama, Tsuyoshi Yoneda. 2024-09-28. Explicit construction of recurrent neural networks effectively approximating discrete dynamical systems. https://arxiv.org/abs/2409.19278

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