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Cross-Entropy Games and Frost Training

Researchers introduced Frost Training, a method that improves Monte Carlo-based policy optimization for Cross-Entropy Games by exploiting the gradient of the reward function in embedding space. The technique, validated using GRPO training for maximum-likelihood infilling, enables models to generate higher-scoring outputs at increased speed in best-of-k settings. This marks the first demonstration that the gradient signal used in the Greedy Coordinate Gradient jailbreaking technique can also boost model training.

read1 min publishedMay 28, 2026
[Submitted on 26 May 2026]


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Abstract:We present Frost Training, a method for improving Monte Carlo-based policy optimization for a large family of LLM-as-a-judge tasks called Cross-Entropy Games. The key idea is to exploit the gradient of the reward function in embedding space. This signal is used in the Greedy Coordinate Gradient (GCG) jailbreaking technique; we demonstrate for the first time that it can also be used to boost model training. We validate our method using GRPO training for maximum-likelihood infilling. Frost Training improves the model's ability to generate high-scoring outputs, reaching higher maximum scores in a best-of-k setting, and does so at an increased speed.

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