Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent

arXiv:2607.22474 · cs.LG, math.ST, stat.ML · Submitted 2026-07-24 · Read on arXiv

Peng Zhao

cs.LG, math.ST, stat.ML

Submitted: 2026-07-24

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

Terminology

• Regularization — 33× in this paper · explained in 3 episodes
• Trace — 16× in this paper · explained in 2 episodes
• Gradient Flow — 12× in this paper · explained in 2 episodes
• Robustness — 6× in this paper · explained in 6 episodes
• Overfitting — 5× in this paper · explained in 2 episodes
• Effective Rank — 4× in this paper · explained in 2 episodes
• Admissibility — 3× in this paper · explained in 2 episodes
• Generator — 3× in this paper · explained in 2 episodes
• Degeneracy — 2× in this paper · explained in 4 episodes
• Generalization — 2× in this paper · explained in 14 episodes
• Inverse Problem — 2× in this paper · explained in 2 episodes
• Localization — 2× in this paper · explained in 2 episodes
• Absorb — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• Calibration — 1× in this paper · explained in 9 episodes
• Editor — 1× in this paper · explained in 2 episodes
• Homogenization — 1× in this paper · explained in 2 episodes
• Kernel Ridge Regression — 1× in this paper · explained in 2 episodes
• Loss Function — 1× in this paper · explained in 2 episodes
• Variance Reduction — 1× in this paper · explained in 2 episodes

Sources

• On Regularization via Early Stopping for Least Squares Regression
• Risk Comparisons in Linear Regression: Implicit Regularization Dominates Explicit Regularization

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