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Systematic construction of continuous-time neural networks for linear dynamical systems
March 26, 2024, 4:42 a.m. | Chinmay Datar, Adwait Datar, Felix Dietrich, Wil Schilders
cs.LG updates on arXiv.org arxiv.org
Abstract: Discovering a suitable neural network architecture for modeling complex dynamical systems poses a formidable challenge, often involving extensive trial and error and navigation through a high-dimensional hyper-parameter space. In this paper, we discuss a systematic approach to constructing neural architectures for modeling a subclass of dynamical systems, namely, Linear Time-Invariant (LTI) systems. We use a variant of continuous-time neural networks in which the output of each neuron evolves continuously as a solution of a first-order …
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