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A mathematical perspective on transformers

Borjan Geshkovski, Cyril Letrouit, Yury Polyanskiy, Philippe Rigollet

2025Bulletin of the American Mathematical Society13 citationsDOIOpen Access PDF

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, with a particular emphasis on long-time clustering behavior.Our study explores the underlying theory and offers new perspectives for mathematicians as well as computer scientists.

Topics & Concepts

Perspective (graphical)MathematicsGeometryInduction Heating and Inverter Technology
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