Dear Reviewer Nru9,
We appreciate your concern about the language-agnostic property of overlapped neurons among language-specific neurons across different languages. To address this, we have conducted the following experiments.
We initially implement a radical deactivation approach, wherein we specifically deactivate overlapping elements between each language and English. These elements precisely correspond to the intersecting neurons in the first column of Figure 5. Presented below are the comprehensive findings pertaining to Mistral. Our evaluation is centered around the reasoning task, recognized as the most indicative and challenging assessment for the model. We compare under the optimal "deactivating" method, which involves deactivating all language-specific neurons except those in S-ATTN.
| | Eng | n-Eng | $\Delta_{Eng}$ | $\Delta_{n-Eng}$ | $\Delta\uparrow$ |
| -------------------------------------- | ---- | ----- | -------------- | ---------------- | ---------------- |
| All LSN | 46.2 | 18.3 | +0.2 | -8.0 | +8.2 |
| LSN without overlapped between English | 45.8 | 20.2 | -0.2 | -6.1 | +5.9 |
As evident, the performance of English remains stable, contrasting sharply with the significant decline in the performance of multilingual. Removing overlapped neurons, as opposed to deactivating all language-specific neurons, leads to a less pronounced drop, yet the impact remains noteworthy. This demonstrates that overlapped neurons are not language-agnostic; they are not utilized for general comprehension and logical reasoning. Otherwise, the fundamental reasoning capacity and performance in multilingual contexts would remain unaffected.
In addition, we retained the language-specific neurons that overlapped in all languages, meaning that we removed them from the language-specific neurons to be deactivated. Detailed results follow.
| | Eng | n-Eng | $\Delta_{Eng}$ | $\Delta_{n-Eng}$ | $\Delta\uparrow$ |
| ------------------------------------ | ---- | ----- | -------------- | ---------------- | ---------------- |
| All LSN | 46.2 | 18.3 | +0.2 | -8.0 | +8.2 |
| LSN without all languages overlapped | 45.6 | 18.7 | -0.4 | -7.6 | +7.2 |
As we explained in our previous rebuttal, the neurons that overlap across all languages only account for 0.02% of the total number of neurons. From the results, we can see that the performance is almost the same as deactivating all language-specific neurons. This further proves that these neurons are not language-agnostic neurons, but only a subset of language-specific neurons.
Furthermore, if we extend the overlapping neurons to languages including real low-source languages such as Vietnamese, Thai, Arabic, and Swahili (as shown in Table 6), the overlapping neurons account for less than 1 in 100,000. We agree that the importance of neurons in a language model is not evenly distributed, as neurons in a specific language account for only 0.1% of all neurons. However, it is hard to believe that 1 in 100,000 neurons can bear such important responsibilities such as basic reasoning and understanding, and this proportion will further decrease as the number of languages increases.