no code implementations • 18 Mar 2024 • Marie-Charlotte Brandenburg, Georg Loho, Guido Montúfar
The parameter space of ReLU neural networks is contained as a semialgebraic set inside the parameter space of tropical rational functions.
no code implementations • 24 Feb 2023 • Christian Haase, Christoph Hertrich, Georg Loho
We prove that the set of functions representable by ReLU neural networks with integer weights strictly increases with the network depth while allowing arbitrary width.
