Learning Asymptotics with Convergence-Rate Guarantees using Linear Least Squares

arXiv:2607.23287 · stat.ML, cs.LG, cs.NA, math.CO, math.NA · Submitted 2026-08-20 · Read on arXiv

Christos N. Efrem

stat.ML, cs.LG, cs.NA, math.CO, math.NA

Submitted: 2026-08-20

Updated: 2026-08-21

Comments: 62 pages, 7 tables, 5 figures

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

Terminology

• Regularization — 22× in this paper · explained in 3 episodes
• Ratio Method — 14× in this paper
• Asymptotics Learning Theory — 8× in this paper
• Objective Function — 6× in this paper · explained in 2 episodes
• Loss Function — 5× in this paper · explained in 2 episodes
• Lasso — 4× in this paper · explained in 2 episodes
• Papers — 4× in this paper · explained in 3 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Composition — 3× in this paper · explained in 2 episodes
• Phase Transition — 3× in this paper · explained in 3 episodes
• Phase Transitions — 3× in this paper · explained in 2 episodes
• Society for Industrial and Applied Mathematics — 2× in this paper
• Convergence Guarantees — 1× in this paper · explained in 3 episodes
• Generalization — 1× in this paper · explained in 14 episodes
• Inverse Problem — 1× in this paper · explained in 2 episodes
• Least Absolute Shrinkage and Selection Operator — 1× in this paper
• Trace — 1× in this paper · explained in 2 episodes

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