Higher Structures in Deep Learning

Abstract:We provide an expository introduction on the importance of higher-arity tensor operations to deep learning. Then, we conduct a novel empirical investigation of higher-arity phenomenon in trained neural networks, introduce a hypergraphical generalization of the multilayer perceptron, and explore connections to evolutionary algorithms. We conclude with a discussion of promising directions for future research.

Machine Learning (cs.LG); Artificial Intelligence (cs.AI)

arXiv:2609.00472 [cs.LG]

(or arXiv:2609.00472v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2609.00472 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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