CARD: Classification and Regression Diffusion Models. (arXiv:2206.07275v2 [stat.ML] UPDATED)

Learning the distribution of a continuous or categorical response variable
$\boldsymbol y$ given its covariates $\boldsymbol x$ is a fundamental problem
in statistics and machine learning. Deep neural network-based supervised
learning algorithms have made great progress in predicting the mean of
$\boldsymbol y$ given $\boldsymbol x$, but they are often criticized for their
ability to accurately capture the uncertainty of their predictions. In this
paper, we introduce classification and regression diffusion (CARD) models,
which combine a denoising diffusion-based conditional generative …

arxiv card classification diffusion diffusion models ml regression