Response to Reviewer d8tJ
We thank the reviewer for raising valuable points to improve our work. We address all points below.
**Open source**: In response to the reviewer's recommendation, we have open-sourced our project, including the source code and all datasets, accessible at https://anonymous.4open.science/r/cocktail_effect-54F8/README.md. While it is not feasible to upload all 200 saved models due to size limitations, the provided code enables full reproduction of our experiments or any chosen subset. Also, we'd be happy so share our trained models with researchers by uploading a subset of the trained models, upon request.
**Weakness I**: Regarding the first weakness described, we appreciate the reviewer's focus on ensuring a fair comparison between the trained models, as this is indeed a key consideration. We assert that our comparison is fair for several reasons:
- First, we clarify that we are not comparing a single model to a 'best-of-200' model. We recognize that our original language may have been unclear, so we have adjusted the wording in the paper to improve clarity. Specifically, for each base LLM, we conducted 55 training experiments, and comparisons are made only within this subset. These 55 experiments per base LLM arise from the nine datasets, following the process outlined in Section 2.2. As shown, the number of training runs is calculated as $\binom{n}{1} + \binom{n}{2} + \binom{n-1}{1} + \binom{n}{n} = 55$, where $n=9$. We have added a concise explanation of this calculation to Section 4.1 in the manuscript.
- Second, regarding hyperparameter selection, we tested several configurations to find one that achieved good convergence across the various training runs. Given this hyperparameter search, additional tuning would likely not significantly impact the results, as this process has already been conducted. However, due to the large scale of experiments in this paper, a truly exhaustive search was not feasible, and we have added this as a limitation.
- Lastly, our primary goal was to identify the optimal dataset mix, making it essential to train models on all possible combinations.
**Weakness II**: Regarding the second weakness the reviewer has raised, we would like to thank the reviewer for pointing out these relevant papers, which we have now added acknowledgments to in our paper. We would also like to add that besides the insight the reviewer has mentioned, namely that using general instruction datasets and/or mathematical reasoning datasets is greatly helpful, we generally do not get to pick which tasks to include. The tasks are a given target set, based on the specific domain. Once this set has been established, the task of finding the optimal subset to train on (per task) is similar to any other hyperparameter search, where empirical experiments are necessary. Tables 5,6,7 in the appendix demonstrate the often non-intuitive nature of optimal combinations.
**Question I**: The reviewer raises an important consideration regarding format adherence. To address this concern, we conducted a detailed empirical evaluation of the instruction-following capabilities of GPT-4-o within our benchmarks. Specifically, we identified all instances where our rule-based evaluation failed to extract an answer, which directly corresponds to cases where GPT-4-o did not correctly follow the required format. The results, presented in Table 1 below, show that the number of formatting issues is negligible, thus reducing the need to use LLM-as-a-judge in this case. Furthermore, this demonstrates that the gains of the smaller fine-tuned models are due to improved performance relative to GPT-4-o, rather than being limited to better format adherence.
**Table 1: Number of GPT-4-o formatting errors per task, presented as a fraction (errors/total test set samples).**
| **Dataset** | **# GPT-4-o Formatting Mistakes** |
|--------------------|-----------------------------------|
| Twitter SA | 3/2,388 |
| TwitterTopics | 2/4,117 |
| FinNerCLS | 1/3,502 |
| FPB | 0/970 |
| ConvFinQA | 0/1,486 |
| FinQA | 0/1,125 |
| Headline | 0/20,547 |