Approximation properties of neural ODEs

Arturo De Marinis, Davide Murari, Elena Celledoni, Nicola Guglielmi, Brynjulf Owren, Francesco Tudisco

We study the approximation properties of neural ordinary differential equations (neural ODEs) in the space of continuous functions. Since a neural ODE requires input and output dimensions to be the same, while input and output dimensions of a continuous function are generally different, we need to embed an input into …

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