Large Language Models for Mathematicians
Large language models (LLMs) such as ChatGPT have received immense interest
for their general-purpose language understanding and, in particular, their
ability to generate high-quality text or computer code. For many professions,
LLMs represent an invaluable tool that can speed up and improve the quality of
work. In this note, we discuss to what extent they can aid professional
mathematicians. We first provide a mathematical description of the transformer
model used in all modern language models. Based on recent studies, we then
outline best practices and potential issues and report on the mathematical
abilities of language models. Finally, we shed light on the potential of LMMs
to change how mathematicians work.
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Simon Frieder
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2023-12-08T11:17:59.846Z
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Simon Frieder
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friederrr
65727acfa63ffd289bb7aad8
Julius Berner
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2023-12-08T11:18:23.824Z
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Julius Berner
user
jberner
65727acfa63ffd289bb7aad9
Philipp Petersen
65727acfa63ffd289bb7aada
Thomas Lukasiewicz
Large Language Models for Mathematicians
Large language models (LLMs) such as ChatGPT have received immense interest
for their general-purpose language understanding and, in particular, their
ability to generate high-quality text or computer code. For many professions,
LLMs represent an invaluable tool that can speed up and improve the quality of
work. In this note, we discuss to what extent they can aid professional
mathematicians. We first provide a mathematical description of the transformer
model used in all modern language models. Based on recent studies, we then
outline best practices and potential issues and report on the mathematical
abilities of language models. Finally, we shed light on the potential of LMMs
to change how mathematicians work.
Transformers enable large language models to perform mathematical tasks, offering both assistance and challenges for professional mathematicians.
transformer model large language models LLMs professional mathematicians mathematical abilities