park-2025-no-hyperbolic-geometry-found

IN premise — summaries/2026/08/24/park-2024-categorical-hierarchical-concepts-s2-using-this-result-we-show-that-semantic-hierarchy-between-co-chunk-2.md

Created 2026-08-25T02:58:25+00:00

The paper reports a negative result: no hyperbolic geometric structure was detected in LLM representation spaces, despite prior work mapping semantic hierarchy to hyperbolic embeddings.

Summary

A study looked for the tree-like, hierarchical geometric shape that earlier researchers assumed lives inside large language models' internal representations, and found it isn't there. This matters because it undercuts a common mental model of how these systems organize meaning, meaning that tools and interpretations built on that hierarchical picture may be describing the wrong shape entirely.