Generalization as a robust performance property of learning-enabled dynamical systems

arXiv:2608.30431 · eess.SY, cs.LG, cs.SY, math.OC · Submitted 2026-08-31 · Read on arXiv

eess.SY, cs.LG, cs.SY, math.OC

Submitted: 2026-08-31

Updated: 2026-08-31

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

Terminology

• Generalization — 39× in this paper · explained in 13 episodes
• Algorithmic Stability — 22× in this paper · explained in 1 episode
• Loss Function — 10× in this paper · explained in 2 episodes
• Robustness — 6× in this paper · explained in 5 episodes
• Generalization Bounds — 3× in this paper · explained in 2 episodes
• Accuracy — 2× in this paper · explained in 1 episode
• Closed-Loop System — 2× in this paper · explained in 4 episodes
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Convergence Guarantees — 1× in this paper · explained in 3 episodes
• Core — 1× in this paper · explained in 2 episodes
• Embeddings — 1× in this paper · explained in 2 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Reproducing Kernel Hilbert Space (RKHS) — 1× in this paper · explained in 3 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Stability and Convergence Trade-off of Iterative Optimization Algorithms
• A Unified Lyapunov-IQC Framework for Uniform Stability of Smooth Quadratic First-Order Accelerated Optimizers

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