arXiv AI By Indranil Halder, Annesya Banerjee, Cengiz Pehlevan

Jailbreak Scaling Laws for Large Language Models: Polynomial-Exponential Crossover

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The paper investigates how adversarial prompt‑injection attacks can shift the scaling of attack success from a slow polynomial growth to an exponential growth as the number of inference‑time samples increases. By proposing a minimal statistical framework and a spin‑glass generative model, the authors explain that short injected prompts act as a weak magnetic field leading to power‑law scaling, while long prompts act as a strong field producing exponential scaling. The phenomenon is observed consistently across large language models ranging from 3B to 70B parameters and across various attack methods and benchmark datasets.

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arXiv Machine Learning
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arXiv AI
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By Harry Owiredu-Ashley