Generative Distribution Prediction: A Unified Approach to Multimodal Learning

Xinyu Tian, Xiaotong Shen
2/10/2025
stat.MLcs.AIcs.LG

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Abstract

Accurate prediction with multimodal data-encompassing tabular, textual, and visual inputs or outputs-is fundamental to advancing analytics in diverse application domains. Traditional approaches often struggle to integrate heterogeneous data types while maintaining high predictive accuracy. We introduce Generative Distribution Prediction (GDP), a novel framework that leverages multimodal synthetic data generation-such as conditional diffusion models-to enhance predictive performance across structured and unstructured modalities. GDP is model-agnostic, compatible with any high-fidelity generative model, and supports transfer learning for domain adaptation. We establish a rigorous theoretical foundation for GDP, providing statistical guarantees on its predictive accuracy when using diffusion models as the generative backbone. By estimating the data-generating distribution and adapting to various loss functions for risk minimization, GDP enables accurate point predictions across multimodal settings. We empirically validate GDP on four supervised learning tasks-tabular data prediction, question answering, image captioning, and adaptive quantile regression-demonstrating its versatility and effectiveness across diverse domains.

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@article{tian2025generative,
  title  = {Generative Distribution Prediction: A Unified Approach to Multimodal Learning},
  author = {Xinyu Tian and Xiaotong Shen},
  year   = {2025},
  eprint = {2502.07090},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2502.07090v2}
}

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