
Hierarchical Concept Geometry in Language Models Emerges from Word Co-occurrence
Researchers have mapped how language models encode hierarchical semantic relationships through a mathematical lens, proving that word embeddings naturally organize concepts from broad to fine-grained categories based on co-occurrence patterns. This work bridges distributional semantics and geometric structure, showing that hypernymy emerges predictably from raw text statistics without explicit supervision. The finding matters for interpretability: it suggests that taxonomic reasoning in neural networks isn't learned through task-specific training but falls out of fundamental statistical properties of language, potentially explaining why LLMs generalize across domains and why probing classifiers can extract structured knowledge from frozen representations.62






















