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

Latent-Outbreak Learning-Rate Controller

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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Paper: A Minimal Dynamical Model for Incubation-Outbreak Transitions in Social Norm Diffusion arXiv:2607.25586