The optimal information complexity of VC learning

arXiv:2610.10600 · stat.ML, cs.IT, cs.LG, math.IT, math.ST, stat.TH · Submitted 2026-10-06 · Read on arXiv

stat.ML, cs.IT, cs.LG, math.IT, math.ST, stat.TH

Submitted: 2026-10-06

Updated: 2026-10-06

Terminology

• Generalization — 33× in this paper · explained in 13 episodes
• Conditional Mutual Information — 12× in this paper
• Evaluated Conditional Mutual Information — 4× in this paper
• Generalization Bounds — 2× in this paper · explained in 2 episodes
• Sample Complexity — 2× in this paper · explained in 15 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Information-Theoretic Framework — 1× in this paper · explained in 2 episodes
• Langevin Dynamics — 1× in this paper · explained in 2 episodes
• List Learning — 1× in this paper · explained in 2 episodes
• Loss Function — 1× in this paper · explained in 2 episodes

Related papers

• Behavior of prediction performance metrics with rare events
• Optimal Estimation of Generic Dynamics by Path-Dependent Neural Jump ODEs
• A Posterior-Dynamics Framework for Imaging Inverse Problems with Pretrained Diffusion Priors
• One Permutation Is All You Need: Fast, Deterministic Feature Importance and Model Stress-Testing
• Online Conformal Prediction for Non-Exchangeable Panel Data
• Deep Time-Series Forecasting in 10 Years: A Survey