Plug-and-Play (PnP) Reconstruction

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Common Mistake: Common Mistake in Section 3

Mistake:

Overlooking a critical implementation detail.

Correction:

Always verify results against known benchmarks and theoretical predictions.

Key Term 3

Core concept from section 3 of chapter 43.

Definition:

Self-Supervised Reconstruction

Learn reconstruction without ground truth:

  • Noise2Noise: train on pairs of noisy measurements
  • Equivariant Imaging: exploit measurement symmetries
  • Deep Image Prior: single-image overfitting with early stopping

Theorem: Unrolled Algorithm Convergence

Unrolled algorithms with KK iterations achieve:

MSEKCK2\text{MSE}_K \le C \cdot K^{-2}

with learned parameters, matching or exceeding FISTA with far fewer iterations (typically K=5K = 5-2020).