Language statistics symmetry shapes LLM representational geometry (ICML 2026)

burny_tech · x · 2026-10-27

burnytech shares the arXiv paper "Symmetry in language statistics shapes the geometry of model representations" (ICML 2026). It proves translation symmetry in language co-occurrence statistics governs representational geometry — months as circles, years as smooth 1D manifolds, city coordinates linearly decodable — with analytic predictions matching real embedding models and LLMs, and shows the geometry is robust to statistical perturbations due to an underlying latent variable.

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