A Minimal Dynamical Model for Incubation-Outbreak Transitions in Social Norm Diffusion
arXiv:2607.25586
2026
Dynamics
1 ideas extracted · analyzed Aug 31, 2026
What the math gives to ML
The paper provides a constructive latent–outbreak mechanism: an irreversible supporter variable grows slowly under exposure to vocal advocates, while the advocate population can decay below a threshold and grow explosively once the supporter pool is sufficiently large. This is transferable to neural-network training as a two-timescale controller that distinguishes latent progress from currently active, high-gain updates. The controller should keep training conservative during the incubation regime and automatically increase update intensity after the empirically estimated activation threshold is crossed. The key falsifiable signature is a transition near the ratio of advocacy growth to exhaustion, with exponential growth of active updates after the threshold.
Ideas from this paper
Unverified
2026
Introduce two bounded state variables into training: x measures latent, reliable learning progress, while y measures the currently active population of high-gain parameter updates or difficult examples. Let x increase irreversibly when active updates are productive, while y grows through interaction with the latent pool and decays through exhaustion. Use y to gate the learning rate or curriculum intensity, producing a low-noise incubation phase followed by an endogenous acceleration phase once…
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