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Language models' concept geometry emerges from word co-occurrence

A new research paper proposes a distributional theory explaining how hierarchical concepts, like the "is-a" relationship, are represented geometrically within language models. The study suggests that the spectral organization of word co-occurrence statistics naturally leads to a hierarchical splitting geometry in embeddings. This phenomenon was observed in word2vec embeddings and also extended to Gemma 2B unembeddings, indicating that complex conceptual hierarchies can emerge from basic statistical patterns rather than requiring specialized mechanisms. AI

IMPACT Explains how conceptual hierarchies in LLMs can emerge from statistical word patterns, potentially simplifying future model design.

RANK_REASON Academic paper detailing a theoretical and empirical analysis of concept representation in language models.

Read on arXiv cs.CL →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

Language models' concept geometry emerges from word co-occurrence

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Academic paper detailing a theoretical and empirical analysis of concept representation in language models.
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COVERAGE [2]

  1. arXiv cs.CL TIER_1 English(EN) · Andres Nava, Matthieu Wyart ·

    Hierarchical Concept Geometry in Language Models Emerges from Word Co-occurrence

    arXiv:2605.23821v1 Announce Type: new Abstract: We propose a distributional theory of how hypernymy -- the ``is-a'' relation between general and specific concepts -- is encoded geometrically in language representations. Starting from the empirically verified assumption that words…

  2. arXiv cs.CL TIER_1 English(EN) · Matthieu Wyart ·

    Hierarchical Concept Geometry in Language Models Emerges from Word Co-occurrence

    We propose a distributional theory of how hypernymy -- the ``is-a'' relation between general and specific concepts -- is encoded geometrically in language representations. Starting from the empirically verified assumption that words closer on the WordNet hypernym graph co-occur m…