arXiv Machine Learning

Displacement Geometry Captures Platonic Shared Reality Across Models and Modalities

arXiv Machine Learning
6d ago

What Converges in the Platonic Representation Hypothesis? Structure over Geometry

The paper investigates the Platonic Representation Hypothesis, which posits that more capable models converge toward shared representations. By distinguishing relational structure (which samples are related) from metric geometry (quantitative relations like distances), the authors develop a controlled $2 imes2$ framework to evaluate both aspects at local and global scales. Their findings show that relational structure consistently converges across vision‑language and video‑text models, while metric geometry converges much more weakly, a pattern that persists even when using a Riemannian metric approximation.

By Junwon You, Mihyun Jang, Sangwoo Mo, Jae-Hun Jung