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Automated Tuning for Diffusion Inverse Problem Solvers without Generative Prior Retraining

Created by
  • Haebom

Author

Ya\c{s}ar Utku Al\c{c}alar, Junno Yun, Mehmet Ak\c{c}akaya

Outline

This paper focuses on diffusion/score-based models, which have recently emerged as powerful generative dictionaries for solving inverse problems, particularly for accelerated MRI reconstruction. While the flexibility of these models allows for the separation of measurement models and learned dictionaries, their performance relies heavily on carefully tuned data fidelity weights, particularly under fast sampling schedules with few denoising steps. Existing approaches often rely on heuristics or fixed weights, failing to generalize to diverse measurement conditions and irregular time-step schedules. In this study, we propose Zero-shot Adaptive Diffusion Sampling (ZADS), a test-time optimization method that adaptively adjusts fidelity weights under arbitrary noise schedules without retraining the diffusion dictionary. ZADS treats the denoising process as a fixed, unrolled sampler and optimizes fidelity weights in a self-supervised manner using only undersampled measurements. Experiments on the fastMRI knee dataset demonstrate that ZADS consistently outperforms existing compressed sensing and recent diffusion-based methods, providing high-fidelity reconstruction across a variety of noise schedules and acquisition settings.

Takeaways, Limitations

Takeaways:
We overcome the limitations of existing diffusion-based MRI reconstruction methods by presenting a Zero-shot Adaptive Diffusion Sampling (ZADS) method that adaptively adjusts fidelity weights under arbitrary noise schedules.
Experiments on fastMRI datasets demonstrate high-fidelity MRI reconstruction results superior to existing methods.
Contributes to improving the performance and generalizability of diffusion model-based inverse problem solving.
Test time optimization allows for application to various measurement conditions without additional training.
Limitations:
The performance of ZADS may be limited to a specific dataset (fastMRI knee dataset).
Validation of generalization performance for other types of inverse problems or other medical imaging modalities is needed.
Further research is needed on the computational cost and efficiency of the optimization process.
Due to the limitations of self-supervised learning methods, performance may deteriorate when measurements are very insufficient.
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