Iterative Atom Refinement: A Monotonicity Principle for Dictionary Learning

arXiv:2609.23812 · cs.LG, math.PR, stat.ML · Submitted 2026-09-20 · Read on arXiv

cs.LG, math.PR, stat.ML

Submitted: 2026-09-20

Updated: 2026-09-20

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

Terminology

• Clustering — 8× in this paper · explained in 2 episodes
• Iterative Atom Refinement — 8× in this paper
• Alignment — 6× in this paper · explained in 1 episode
• Sparsity — 6× in this paper · explained in 4 episodes
• Benchmark — 4× in this paper · explained in 2 episodes
• Alternating Minimization — 3× in this paper · explained in 1 episode
• Convergence Guarantees — 3× in this paper · explained in 3 episodes
• Inverse Problem — 2× in this paper · explained in 2 episodes
• Method of Optimal Directions — 2× in this paper
• Aggregation — 1× in this paper · explained in 1 episode
• Empirical Coverage — 1× in this paper · explained in 2 episodes
• Robustness — 1× in this paper · explained in 5 episodes

Sources

• Imaging with super-resolution in changing random media

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