💡 The paper proposes a novel framework to improve large language model performance through textual frequency analysis. The authors argue that textual frequency, which is the frequency of certain words or phrases in a language, is relevant to human cognition and can also be applied to large language models. However, this topic has been understudied in the context of large language models.

The proposed framework consists of three main components. First, the authors introduce the Textual Frequency Law, which states that frequent textual data should be preferred for large language models, both for prompting and fine-tuning. To estimate the sentence-level frequency, the authors use online resources, as many large language models are closed-source in their training data. They also utilize an input paraphraser to paraphrase the input into a more frequent textual expression.

The second component is Textual Frequency Distillation, which involves querying large language models to conduct story completion by extending sentences in the datasets. The resulting corpora are used to adjust the initial estimation of textual frequency.

The third component is Curriculum Textual Frequency Training, which fine-tunes large language models in an increasing order of sentence-level frequency. This means that the models are first trained on the most frequent sentences and then gradually moved to less frequent ones.

The authors conducted experiments on a curated dataset called Textual Frequency Paired Dataset, which covers tasks such as math reasoning, machine translation, commonsense reasoning, and agentic tool calling. The results show that the proposed framework is effective in improving large language model performance.

Overall, the paper contributes to the understanding of textual frequency in large language models and provides a novel framework for improving their performance. The proposed framework has the potential to be applied to various natural language processing tasks and can lead to more efficient and effective large language models.