3 papers
math.ST2026
Harmonic Map Regression: Rate-Optimal Nonparametric Estimation on Manifolds with Topological Recovery
Xiaoyu Chen
We study harmonic map regression, a nonparametric estimator for manifold-valued responses, that penalizes the empirical Fréchet risk by the Dirichlet energy. By connecting penalize…
stat.ME2026
Beyond Euclidean Summaries: Online Change Point Detection for Distribution-Valued Data
Yingyan Zeng, Yujing Huang, Xiaoyu Chen
Existing online change-point detection (CPD) methods rely on fixed-dimensional Euclidean summaries, implicitly assuming that distributional changes are well captured by moment-base…
stat.ME2024
Distribution-in-distribution-out Regression
Xiaoyu Chen, Mengfan Fu, Yujing Huang +1
Regression analysis with probability measures as input predictors and output response has recently drawn great attention. However, it is challenging to handle multiple input probab…