4 papers
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…
Differentially Private Geodesic Regression
Aditya Kulkarni, Carlos Soto
In statistical applications it has become increasingly common to encounter data structures that live on non-linear spaces such as manifolds. Classical linear regression, one of the…
Rao Differential Privacy
Carlos Soto
Differential privacy (DP) has recently emerged as a definition of privacy to release private estimates. DP calibrates noise to be on the order of an individuals contribution. Due t…
Gaussian Differentially Private Human Faces Under a Face Radial Curve Representation
Carlos Soto, Matthew Reimherr, Aleksandra Slavkovic +1
In this paper we consider the problem of releasing a Gaussian Differentially Private (GDP) 3D human face. The human face is a complex structure with many features and inherently ti…