A Theoretical Analysis of Generalization Dynamics in Neural Networks under Gradient Descent with Weight Decay

arXiv:2609.07755 · cs.LG, math.OC · Submitted 2026-09-07 · Read on arXiv

cs.LG, math.OC

Submitted: 2026-09-07

Updated: 2026-09-07

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

Terminology

• Generalization — 6× in this paper · explained in 13 episodes
• Homogeneity — 1× in this paper · explained in 2 episodes

Related papers

• Polynomial-Augmented Neural Networks (PANNs) with Weak Orthogonality Constraints for Enhanced Function and PDE Approximation
• AIRL-S: Unifying Reinforcement Learning and Search-Based Test-Time Scaling via Adversarial Inverse Reinforcement Learning
• Transformers as Bayesian In-Context Experimenters: Smoothness-Adaptive Efficient ATE Estimation
• Convergence issues in Relational Concept Analysis based on AOC-posets
• Beliefs Beyond Posteriors: Local-Consistency Optimisation for Bayesian Neural Networks
• Understanding Diffusion Models via Ratio-Based Function Approximation with SignReLU Networks