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cs.LG2022
Connecting Permutation Equivariant Neural Networks and Partition Diagrams
Edward Pearce-Crump
Permutation equivariant neural networks are often constructed using tensor powers of as their layer spaces. We show that all of the weight matrices that appear in…
cs.LG2022
Brauer's Group Equivariant Neural Networks
Edward Pearce-Crump
We provide a full characterisation of all of the possible group equivariant neural networks whose layers are some tensor power of for three symmetry groups that ar…
quant-ph2022★ 1 cited
A Multigraph Approach for Performing the Quantum Schur Transform
Edward Pearce-Crump
We take inspiration from the Okounkov-Vershik approach to the representation theory of the symmetric groups to develop a new way of understanding how the Schur-Weyl duality can be…