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math.ST2025
A Likelihood Based Approach to Distribution Regression Using Conditional Deep Generative Models
Shivam Kumar, Yun Yang, Lizhen Lin
In this work, we explore the theoretical properties of conditional deep generative models under the statistical framework of distribution regression where the response variable lie…
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…