Logic and the 2-Simplicial Transformer
James Wallbridge · James Clift · Daniel Murfet · Dmitry Doryn
Abstract
We introduce the 2-simplicial Transformer, an extension of the Transformer which includes a form of higher-dimensional attention generalising the dot-product attention, and uses this attention to update entity representations with tensor products of value vectors. We show that this architecture is a useful inductive bias for logical reasoning in the context of deep reinforcement learning.
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