Preference Curriculum: LLMs Should Always Be Pretrained on Their Preferred Data

Large language models (LLMs) generally utilize a consistent data distribution throughout the pretraining process.However, as the model's capability improves, it is intuitive that its data preferences dynamically change, indicating the need for pretraining with different data at various training stages.To achieve it, we propose the Perplexity Difference (PD) based Preference Curriculum learning (PDPC) framework, which always perceives and uses the data preferred by LLMs to train and boost them.First, we introduce the PD metric to quantify the difference in how challenging a sample is for weak versus strong models.Samples with high PD are more challenging for weak models to learn and are more suitable to be arranged in the later stage of pretraining.Second, we propose the preference function to approximate and predict the data preference of the LLM at any training step, so as to complete the arrangement of the dataset offline and ensure continuous training without interruption.Experimental results on 1.3B and 3B models demonstrate that PDPC significantly surpasses baselines.Notably, the 3B model trained on 1T tokens achieves an increased average accuracy of over 8.1% across MMLU and CMMLU.How to dynamically perceive preferences without interrupting pretraining.Ideally, training would be paused at any training step to calculate PD using the model's current state, allowing for data sampling from the preference distribution like MATES (Yu et al., 2024).However, to ensure con-