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  • title: Brauer's Group Equivariant Neural Networks
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            Brauer's Group Equivariant Neural Networks
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            Brauer's Group Equivariant Neural Networks

            Jul 25, 2023

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            EP

            Edward Pearce-Crump

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            We provide a full characterisation of all of the possible group equivariant neural networks whose layers are some tensor power of $\mathbb{R}^{n}$ for three symmetry groups that are missing from the machine learning literature: $O(n)$, the orthogonal group; $SO(n)$, the special orthogonal group; and $Sp(n)$, the symplectic group. In particular, we find a spanning set of matrices for the learnable, linear, equivariant layer functions between such tensor power spaces in the standard basis of $\mat…

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            ICML 2023

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