Thank you for your follow-up comments!
Sincerely thanks for your follow-up comments! Please find our responses below.
> Q1. First I completely agree with other reviewers that this draft is not very well written because the main points are not clearly answered.
A1. Sincerely apologize for your confusion. Here, we would like to summarize the motivation of our paper further, hoping that it can help you and other reviewers better understand our proposal.
1. **Condition 1: auxiliary ID and OOD data should be disjoint in the data space.** To make the unreliable generator benefit our predictor in a reliable way, we find that auxiliary ID and OOD data should be disjoint in the data space. In this case, if auxiliary ID data can play the role of real ones w.r.t. the predictor (cf., Condition 2), auxiliary OOD data can also be reliable w.r.t. the predictor (cf., Definition 1). Since these auxiliary OOD data satisfy the standard definition of OOD data following [1], i.e., they have the disjoint support over real ID data. In realization, Eqs. 6-8 are adopted to ensure the disjoint supports between auxiliary ID and OOD data.
2. **Condition 2: auxiliary ID data can differ from real ID data in the data space.** As demonstrated in Appendix E.8, generated auxiliary ID data differ from real ID data in semantics/styles. In this situation, our method can still work if the predictor makes no difference between auxiliary and real ID data in their representations (i.e., Condition 2). More extremely, even with the randomly initialized generator, the completely noisy data can still benefit our ATOL (cf., Table 3). In realization, Eq. 9 ensures that the auxiliary ID data are aligned with the real ID data in the representation space of the predictor.
In summary, **although auxiliary ID and OOD data are not reliable due to the unreliable generator, they can still benefit OOD detection if we can make the predictor "believe" they are reliable**, i.e., Conditions 1-2 and Proposition 1. We will refine our presentation to enhance the readability of our paper in the revision.
> Q2. I would like to summarize my idea here and confirm with the authors. The main point is that, if the auxiliary generative models could achieve C1 which needs the disjoint support set for gen-in vs gen-OOD, and C2 which needs the gen-in is close to real-in. Then this framework will work.
A2. Sincerely thank you for the high-level summary of our paper, and your interpretation is completely right. When C1-2 are achieved, we can prove that the Proposition 1 holds. Therefore, even with unreliable OOD sources given by generative models, they can still benefit our models to improve OOD detection.
> Q3. Moreover, based on what the author replies, then how to make sure the sets of gen-in and gen-OOD disjoint while gen-OOD more difficult could make the results better.
A3. Yes. Your suggestions are quite insightful, pointing out an important direction that can help us further improve ATOL. It will motivate our following studies, and we sincerely thank you for your constructive comments.
We will update the related discussion in our revision. We always welcome your new suggestions or comments!