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Local MAP Sampling for Diffusion Models

Created by
  • Haebom

Author

Shaorong Zhang, Rob Brekelmans, Greg Ver Steeg

Outline

This paper introduces Local MAP Sampling (LMAPS), a novel inference framework for solving inverse problems. LMAPS provides a probabilistic interpretation of optimization-based diffusion solvers and iteratively solves local MAP subproblems to follow diffusion trajectories. LMAPS incorporates a probabilistically interpretable covariance approximation, a reconstructed objective function for stability and interpretability, and a gradient approximation for non-differentiable operators. It demonstrates improved performance over existing methods in image restoration and scientific tasks.

Takeaways, Limitations

Takeaways:
We provide a probabilistic interpretation of optimization-based diffusion solvers.
The LMAPS framework achieves state-of-the-art performance.
The new algorithm improves probabilistic interpretability, stability, and interpretability.
It can be applied to various image restoration and scientific problems.
Limitations:
The specific Limitations of the paper was not stated in the abstract.
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