Non-Asymptotic Stability and Consistency Guarantees for Physics-Informed Neural Networks via Coercive Operator Analysis

arXiv:2506.13554 · cs.LG, cs.NA, math.FA, math.NA · Submitted 2025-06-16 · Read on arXiv

cs.LG, cs.NA, math.FA, math.NA

Submitted: 2025-06-16

Updated: 2026-10-29

Terminology

• Consistency — 4× in this paper · explained in 3 episodes
• Generalization — 2× in this paper · explained in 14 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Admissibility — 1× in this paper · explained in 2 episodes
• Physics-Informed Neural Networks (PINNs) — 1× in this paper · explained in 8 episodes
• Sample Complexity — 1× in this paper · explained in 20 episodes

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