We greatly appreciate your insightful comments. We will thoroughly review the paper, correct any typos, and refine the subsection titles to make them more concise and precise. First, we would like to clarify two points regarding novelty and effectiveness.
1. We agree that the idea is straightforward. However, we show that the method is also highly effective. Added to this, we explored in depth topics such as data efficiency and the curse of dimensionality. We agree that runtime convergence is an important and interesting direction for analysis, and our methods exhibit better runtime efficiency compared to the baseline. Table 6 highlights the impact of varying n on converge runtime. Here we will report the effect of different n values under the same update step. For the En-De task, we tested XXS student distilled from XS teacher and XXXS student distilled from XXS teacher, using 10k instances and 10k training steps. The results indicate that our method surpasses the baseline MBR, further demonstrating its runtime efficiency. This analysis and discussion will be included in the paper.
|Model | MBR | MBR-10 | MBR-40 |
| --------| -------- | ------- | ------- |
| XS - XXS | 0.7781| 0.7807 |0.7797|
|XXS-XXXS | 0.6407 | 0.6711 |0.6760|
2. According to the effectiveness. Our experimental results demonstrate the effectiveness of our method. In the distillation of the small model XXXS from XXS, we achieve a BLEURT improvement of 0.02 compared to beam search, this improvement is substantial, particularly when applied to state-of-the-art (SOTA) models. , Additionally, notable gains are also observed when using BLEU, chrF, and Coment22 metrics (see Table 5). While we acknowledge that the impact of distillation on the large model is less pronounced than on the smaller one, this is partly due to the "capacity curse" and partly because the distilled small model is already close to the observed performance limit, making further improvements challenging. This is an open question on how to do well. Employing curriculum learning to address the capacity curse is an interesting direction. Although it is not the main focus of this paper, we include the experimental results as a side exploration. We intend to further investigate Stage training as a potential solution to the capacity curse in future work.
**Here are the responses to your questions below:**
Q1: Thank you for the suggestion; it is indeed an interesting direction that we plan to explore in future work. Averaging the loss across tokens could potentially enhance training efficiency. Additionally, MBR with a reference-free metric (QE) has the potential to radically improve the runtime. It does however require very strong QE performance, which limits application to high resource settings. But this is the direction the field is headed, with auto raters etc.
Q2: One reason for this is that our focus is on distillation from teacher models. The only requirement for the teacher models is that they must exhibit strong translation performance; we do not emphasize the specifics of their training process. We believe this does not impact the effectiveness of our method. Since training is resource-intensive, we prefer to reuse high-quality models and only fine-tune them if their performances are poor.
That said, we agree that training the teacher model using the same method can help verify whether our approach is influenced by this factor. To test this, we fine-tuned the XS teacher model using the same method as the XXS teacher, using the WMT22 en-de data. The results show that our method still leads to significant improvement. The performance of the newly trained XS teacher is 0.7724, which is lower than the reported PaLM-XS performance of 0.8008 in the paper. The second row of below table corresponds to Table 2 in the paper, representing the En-De task with an XS teacher and an XXXS student.
|Model | MBR | MBR-5 | MBR-10 | MBR-20 | MBR-40 |
| --------| -------- | ------- | ------- | ------- | ------- |
| XS - WMT | 0.6737| 0.6847 |0.6893| 0.6886 | 0.6864 |
| XS |0.6778 |0.6837 |0.6862|0.6865|0.6889|
Q3: As mentioned in the paper, this is an interesting open question. We have some hypotheses: it may be that adding more candidates improves learning of decoding distribution, as these candidates are of high quality. In contrast, with a single target, the output may be influenced more by the original LLM knowledge, leading to a more scattered distribution.
Q4: We have discussed those in Table 4, Figure 5, and the "Runtime & Data Efficiency" section. We use training steps to assess runtime efficiency and evaluate data efficiency by testing with varying amounts of data. In the Table we show above(the first Table in point 1), our method showed the runtime efficiency is also better than vanilla MBR. If you have any additional questions, we would be happy to answer them, or if you have other metrics suggestions, we would gladly consider them.