Principled MAP estimation for inverse problems: bridging the gap between convergence and performance

arXiv:2609.37529 · cs.CV, cs.LG · Submitted 2026-09-29 · Read on arXiv

cs.CV, cs.LG

Submitted: 2026-09-29

Updated: 2026-09-29

Terminology

• Inverse Problem — 27× in this paper · explained in 2 episodes
• Regularization — 12× in this paper · explained in 3 episodes
• Fidelity — 9× in this paper · explained in 2 episodes
• Flow Matching — 6× in this paper · explained in 8 episodes
• In International Conference on Learning Representations — 6× in this paper
• Objective Function — 6× in this paper · explained in 2 episodes
• Convergence Guarantees — 4× in this paper · explained in 3 episodes
• Diffusion Model — 4× in this paper · explained in 8 episodes
• Diffusion Models — 4× in this paper · explained in 6 episodes
• Generative Model — 3× in this paper · explained in 2 episodes
• Generative Models — 3× in this paper · explained in 2 episodes
• Conference on Computer Vision and Pattern Recognition — 2× in this paper
• Flow Matching Model — 2× in this paper · explained in 2 episodes
• In International Conference on Machine Learning — 2× in this paper
• Ablation — 1× in this paper · explained in 1 episode
• Adaptation — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• Generative AI — 1× in this paper · explained in 2 episodes
• Generative Modeling — 1× in this paper · explained in 3 episodes
• Minimum Mean Square Error — 1× in this paper
• Normalizing Flow — 1× in this paper · explained in 3 episodes
• Normalizing Flows — 1× in this paper · explained in 4 episodes
• Rectified Flow — 1× in this paper · explained in 3 episodes
• Selection Bias — 1× in this paper · explained in 4 episodes
• Sparsity — 1× in this paper · explained in 4 episodes
• Theoretical Guarantees — 1× in this paper · explained in 2 episodes

Sources

• Score-Based Generative Modeling through Stochastic Differential Equations
• Beyond MMSE: Enhancing PnP Restoration with ProxiMAP

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