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What Converges in the Platonic Representation Hypothesis? Structure over Geometry

The Platonic Representation Hypothesis suggests that increasingly capable models converge toward shared representations. Recent work narrows this claim to shared local neighborhood relationships, finding that capacity-dependent trends in several global similarity measures largely disappear after calibration. We challenge this interpretation by showing that prior local-global comparisons confound structural scale (local versus global) with what is compared: relational structure, defined by which samples are related, versus metric geometry, characterized by quantitative relations such as distances, similarities, or correlations. To disentangle these factors, we construct a controlled $2\tim...

AuthorsJunwon You, Mihyun Jang, Sangwoo Mo et al.
Primary categorycs.LG
Published23 September 2026
Last updated at source23 September 2026
cs.LGcs.CVmath.AT
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