New research explores transformers as universal approximators of operators

Researchers have demonstrated that transformer architectures can universally approximate integral operators between Hölder spaces. Additionally, a generalized neural integral operator, utilizing the Gavurin integral, has been shown to be a universal approximator for arbitrary operators between Banach spaces. The study also introduces a modified transformer using Leray-Schauder mappings, capable of approximating operators between any Banach spaces. AI

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IMPACT Advances theoretical understanding of transformer capabilities in approximating complex mathematical operators.

RANK_REASON This is a research paper published on arXiv detailing theoretical advancements in neural network approximation capabilities.

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• arXiv
• Emanuele Zappala
• Hugging Face

• paper
• other