One Swallow Does Not Make a Summer: Understanding Semantic Structures in Embedding Spaces
This work addresses the challenge of understanding and structuring semantic relationships in embedding spaces for AI researchers and practitioners, offering a scalable and interpretable framework.
The paper tackled the problem of opaque internal structures in embedding spaces by introducing Semantic Field Subspaces (SFS) and the SAFARI algorithm, achieving a 15-30x speedup with errors below 0.01 and outperforming standard classifiers in tasks like political bias detection.
Embedding spaces are fundamental to modern AI, translating raw data into high-dimensional vectors that encode rich semantic relationships. Yet, their internal structures remain opaque, with existing approaches often sacrificing semantic coherence for structural regularity or incurring high computational overhead to improve interpretability. To address these challenges, we introduce the Semantic Field Subspace (SFS), a geometry-preserving, context-aware representation that captures local semantic neighborhoods within the embedding space. We also propose SAFARI (SemAntic Field subspAce deteRmInation), an unsupervised, modality-agnostic algorithm that uncovers hierarchical semantic structures using a novel metric called Semantic Shift, which quantifies how semantics evolve as SFSes evolve. To ensure scalability, we develop an efficient approximation of Semantic Shift that replaces costly SVD computations, achieving a 15~30x speedup with average errors below 0.01. Extensive evaluations across six real-world text and image datasets show that SFSes outperform standard classifiers not only in classification but also in nuanced tasks such as political bias detection, while SAFARI consistently reveals interpretable and generalizable semantic hierarchies. This work presents a unified framework for structuring, analyzing, and scaling semantic understanding in embedding spaces.