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Computer Science > Machine Learning

arXiv:2312.10794 (cs)
[Submitted on 17 Dec 2023]

Title:A mathematical perspective on Transformers

Authors:Borjan Geshkovski, Cyril Letrouit, Yury Polyanskiy, Philippe
Rigollet
Download a PDF of the paper titled A mathematical perspective on
Transformers, by Borjan Geshkovski and 3 other authors
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    Abstract:Transformers play a central role in the inner workings
    of large language models. We develop a mathematical framework for
    analyzing Transformers based on their interpretation as
    interacting particle systems, which reveals that clusters emerge
    in long time. Our study explores the underlying theory and offers
    new perspectives for mathematicians as well as computer
    scientists.

Subjects: Machine Learning (cs.LG); Analysis of PDEs (math.AP);
          Dynamical Systems (math.DS)
Cite as:  arXiv:2312.10794 [cs.LG]
          (or arXiv:2312.10794v1 [cs.LG] for this version)
          https://doi.org/10.48550/arXiv.2312.10794
          Focus to learn more
          arXiv-issued DOI via DataCite

Submission history

From: Borjan Geshkovski [view email]
[v1] Sun, 17 Dec 2023 19:06:29 UTC (7,096 KB)
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