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Grégoire Sergeant-Perthuis

2 accepted papers

2022

On Non-Linear operators for Geometric Deep Learning

NeurIPS 2022accept

This work studies operators mapping vector and scalar fields defined over a manifold $\mathcal{M}$, and which commute with its group of diffeomorphisms $\text{Diff}(\mathcal{M})$. We prove that in the case of scalar fields $L^p_\omega(\mathcal{M,\mathbb{R}})$, those operators correspond to point-wis…

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