Generating and Imputing Tabular Data via Diffusion and Flow-based Gradient-Boosted Trees

Tabular data is hard to acquire and is subject to missing values. This paper proposes a novel approach to generate and impute mixed-type (continuous and categorical) tabular data using score-based diffusion and conditional flow matching. Contrary to previous work that relies on neural networks to learn the score function or the vector field, we instead rely on XGBoost, a popular Gradient-Boosted Tree (GBT) method. We empirically show on 27 different datasets that our approach i) generates highly realistic synthetic data when the training dataset is either clean or tainted by missing data and ii) generates diverse plausible data imputations. Furthermore, our method outperforms deep-learning generation methods on data generation and is competitive on data imputation. Finally, it can be trained in parallel using CPUs without the need for a GPU. To make it easily accessible, we release our code through a Python library and an R package.