GRPO updates reduce to a damped oscillator whose mass, damping, and stiffness are fixed by optimizer hyperparameters plus one measured curvature scale, subsuming single-exponential saturation while adding inertial slow-start and group-size predictions.
New skills or sharper primitives? a probabilistic perspective on the emergence of reasoning in rlvr.arXiv preprint arXiv:2602.08281,
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Predictable GRPO: A Closed-Form Model of Training Dynamics
GRPO updates reduce to a damped oscillator whose mass, damping, and stiffness are fixed by optimizer hyperparameters plus one measured curvature scale, subsuming single-exponential saturation while adding inertial slow-start and group-size predictions.