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Diffusion Factor Models: Generating High-Dimensional Returns with Factor Structure

  • Researchers propose a diffusion factor model that integrates latent factor structure into generative diffusion processes for financial scenario simulation.
  • By exploiting the low-dimensional factor structure inherent in asset returns, the model decomposes the score function using time-varying orthogonal projections.
  • The proposed model provides nonasymptotic error bounds for both score estimation and generated distribution, surpassing the dimension-dependent limits in classical nonparametric statistics literature.
  • Numerical studies confirm superior performance in latent subspace recovery and empirical analysis demonstrates the economic significance of the framework.

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