Minimax Theory of Likelihood-Based Deep Learning for Speckle Regression

arXiv:2607.14064 · math.ST, stat.ML · Submitted 2026-07-15 · Read on arXiv

Soham Jana

math.ST, stat.ML

Submitted: 2026-07-15

Comments: 34 pages, 2 figures

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• ReLU Network — 11× in this paper · explained in 2 episodes
• Sparsity — 9× in this paper · explained in 5 episodes
• Composition — 6× in this paper · explained in 2 episodes
• Accuracy — 5× in this paper · explained in 1 episode
• Coherence — 4× in this paper · explained in 2 episodes
• Theoretical Guarantees — 4× in this paper · explained in 2 episodes
• Hyperparameters — 3× in this paper · explained in 2 episodes
• Quantitative Phase Imaging — 3× in this paper
• Synthetic Aperture Radar — 3× in this paper
• Consistency — 2× in this paper · explained in 3 episodes
• Curse of Dimensionality — 2× in this paper · explained in 6 episodes
• Loss Function — 2× in this paper · explained in 2 episodes
• Model-Agnostic — 2× in this paper · explained in 2 episodes
• Model-Agnostic Framework — 2× in this paper · explained in 4 episodes
• Objective Function — 2× in this paper · explained in 2 episodes
• Regularization — 2× in this paper · explained in 3 episodes
• Adam — 1× in this paper · explained in 3 episodes
• Feature Selection — 1× in this paper · explained in 4 episodes
• Generalization — 1× in this paper · explained in 14 episodes
• Minimax Optimality — 1× in this paper · explained in 3 episodes
• Overfitting — 1× in this paper · explained in 2 episodes
• Papers — 1× in this paper · explained in 3 episodes
• Parameterization — 1× in this paper · explained in 2 episodes

Sources

• Multilook Coherent Imaging: Theoretical Guarantees and Algorithms
• Maximum Likelihood Reconstruction for Multi-Look Digital Holography with Markov-Modeled Speckle Correlation
• Factor Informed Double Deep Learning For Average Treatment Effect Estimation
• Minimax Analysis of Estimation Problems in Coherent Imaging

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