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math.ST2025
Minimax Optimal Rates for Regression on Manifolds and Distributions
Rong Tang, Yun Yang
Distribution regression seeks to estimate the conditional distribution of a multivariate response given a continuous covariate. This approach offers a more complete characterizatio…
math.ST2024
Conditional Diffusion Models are Minimax-Optimal and Manifold-Adaptive for Conditional Distribution Estimation
Rong Tang, Lizhen Lin, Yun Yang
We consider a class of conditional forward-backward diffusion models for conditional generative modeling, that is, generating new data given a covariate (or control variable). To f…
math.ST2022★ 3 cited
Minimax Rate of Distribution Estimation on Unknown Submanifold under Adversarial Losses
Rong Tang, Yun Yang
Statistical inference from high-dimensional data with low-dimensional structures has recently attracted lots of attention. In machine learning, deep generative modeling approaches…