What exactly is a 'concept' in this paper?

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Beginner question 👶

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https://arxiv.org/abs/2412.08821 - paper in question

I've heard from someone online that Large Concept Models are very different from Large Language Models because they generate concepts.

But the paper is very confusing because I'm not sure exactly what the definition of a concept is.

In this paper they say that a concept corresponds to a sentence but they also say that it's not instantiated on any particular language or modality. But I'm not sure how it could be a sentence without being part of any language.

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