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Preconditioned Score and Flow Matching

arXiv – CS AI|Shadab Ahamed, Eshed Gal, Simon Ghyselincks, Md Shahriar Rahim Siddiqui, Moshe Eliasof, Eldad Haber||1 views
πŸ€–AI Summary

Researchers propose a new preconditioning method for flow matching and score-based diffusion models that improves training optimization by reshaping the geometry of intermediate distributions. The technique addresses optimization bias caused by ill-conditioned covariance matrices, preventing training from stagnating at suboptimal weights and enabling better model performance.

Key Takeaways
  • β†’Flow matching and score-based diffusion models suffer from optimization bias when intermediate distributions have ill-conditioned covariance matrices.
  • β†’The proposed preconditioning method reshapes distribution geometry without altering the underlying generative model.
  • β†’Preconditioning primarily prevents optimization stagnation rather than accelerating early convergence.
  • β†’Empirical results on MNIST and high-resolution datasets show consistent improvements in model training quality.
  • β†’The technique enables continued progress along previously suppressed optimization directions.
Read Original β†’via arXiv – CS AI
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