Author

Xiao-Tian Chang

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#machine learning Preprint Sep 2026

Locally Private Inference for Riemannian Stochastic Optimization

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 method releases randomized tangent gradients and combines them through Riemannian stochastic approximation and Polyak-Ruppert averaging. Direct...

Xiao-Tian Chang, Yang-Di Jiang, Qi-Rui Hu · 0 citations

#machine learning Preprint Sep 2026

Riemannian Simultaneous Inference for Tangent Vector Field Regression

We consider nonparametric tangent vector field regression on a Riemannian manifold without boundary. Because responses at different points lie in different tangent spaces, the proposed kernel estimator first parallel transports nearby responses to the target tangent space and then forms a volume-corrected local average...

Xiao-Tian Chang, Yang-Di Jiang, Qi-Rui Hu · 0 citations