Semantic Level of Detail: Multi-Scale Knowledge Representation via Heat Kernel Diffusion on Hyperbolic Manifolds

Researchers introduce Semantic Level of Detail (SLoD), a framework for AI memory systems that uses heat kernel diffusion on hyperbolic manifolds to enable continuous resolution control in knowledge graphs. The method automatically detects meaningful abstraction levels without manual parameters, achieving perfect recovery on synthetic hierarchies and strong alignment with real-world taxonomies like WordNet.