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math.ST2026
Intrinsic Riemannian Cross-covariance for Manifold-valued Random Objects
Carlos Soto, Cheng Wang, Yujing Huang +1
Covariance estimation yields a fundamental second-order statistic underlying representation learning, dimension reduction, and dependence modeling. While covariance has been well u…
math.ST2021★ 2 cited
Differential Privacy Over Riemannian Manifolds
Matthew Reimherr, Karthik Bharath, Carlos Soto
In this work we consider the problem of releasing a differentially private statistical summary that resides on a Riemannian manifold. We present an extension of the Laplace or K-no…