3 citations · 3 across the 5 of their papers we have counts for
3 papers · 1 filter
Locally Private Inference for Riemannian Stochastic Optimization
Xiaotian Chang, Yangdi Jiang, Qirui Hu
We develop inference for manifold-valued population minimizers when each observation belongs to a different participant and only locally private messages reach the analyst. The met…
Riemannian Simultaneous Inference for Tangent Vector Field Regression
Xiaotian Chang, Yangdi Jiang, Qirui Hu
We consider nonparametric tangent vector field regression on a Riemannian manifold without boundary. Because responses at different points lie in different tangent spaces, the prop…
Geometric Renyi Differential Privacy: Ricci Curvature Characterized by Heat Diffusion Mechanisms
Xiaotian Chang, Yangdi Jiang, Cyrus Mostajeran +1
In this paper, we develop a novel privacy mechanism for Riemannian manifold-valued data. Our key contribution lies in uncovering unexpected connections among geometric analysis, he…