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Logic and the 2-Simplicial Transformer (2019)

Researchers introduced the 2-simplicial Transformer, an extension of the Transformer architecture that incorporates higher-dimensional attention generalizing dot-product attention and updates entity representations with tensor products of value vectors. The paper, submitted to arXiv on September 2, 2019, demonstrates that this architecture serves as a useful inductive bias for logical reasoning in deep reinforcement learning.

read1 min views2 publishedSep 1, 2026
Logic and the 2-Simplicial Transformer (2019)
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[Submitted on 2 Sep 2019]


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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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