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We provide a general self-attention formulation to impose group equivarianceto arbitrary symmetry groups. This is achieved by defining positional encodingsthat are invariant to the action of the group considered. Since the group actson the positional encoding directly, group equivariant self-attention networks(GSA-Nets) are steerable by nature. Our experiments on vision benchmarksdemonstrate consistent improvements of GSA-Nets over non-equivariantself-attention networks.

Group Equivariant Stand-Alone Self-Attention For Vision