Krishnakumar Balasubramanian

Intrinsic Associative Memory on Riemannian Manifolds: Curvature, Capacity, and Emergent Modes

Geometry does more than constrain an associative memory: curvature determines what it remembers and which states it creates. We develop intrinsic dense associative memories on Riemannian manifolds by casting memory as Epanechnikov kernel-density mode seeking. We compare geodesic and volume-corrected energies and show t...