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cs.LG2025
Efficient Diffusion Models for Symmetric Manifolds
Oren Mangoubi, Neil He, Nisheeth K. Vishnoi
We introduce a framework for designing efficient diffusion models for -dimensional symmetric-space Riemannian manifolds, including the torus, sphere, special orthogonal group an…
cs.DS2025
Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations
Oren Mangoubi, Nisheeth K. Vishnoi
We consider the problem of approximating a covariance matrix with a rank- matrix under -differential privacy. We present and analyze a complex…