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Intrinsic Associative Memory on Riemannian Manifolds: Curvature, Capacity, and Emergent Modes
Krishnakumar Balasubramanian, Zhaoyang Shi
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 Riem…
Graph Memory: Spectral Associative Memory via Dirichlet Energy
Zhaoyang Shi
Dense associative memories have traditionally focused on storing and retrieving vector-valued patterns. Many modern machine learning problems, however, are naturally graph-structur…
Population-Level Generative Modeling for Ranking Data
Zhaoyang Shi
Ranking data arise in scientific and machine learning applications, including recommendation systems, information retrieval, voting, marketing, and AI preference ranking from human…
Optimal Demixing of Nonparametric Densities
Jianqing Fan, Zheng Tracy Ke, Zhaoyang Shi
Motivated by applications in statistics and machine learning, we consider a problem of unmixing convex combinations of nonparametric densities. Suppose we observe groups of sam…