From Embedding Geometry to Spectral Search: Energy Dispersion Networks For Vector Retrieval (opens in new tab)

Vector spaces, such as embedding spaces that encode dense semantic information, need not be analyzed solely through pointwise geometry. They can also be interpreted as energy networks through the spectral graph induced by the topology of their column vectors, i.e., their feature-space structure. Building on this perspective, we introduce Graph Wiring, a general framework for exploiting feature-space spectral structure, together with Spectral Ind...