Response
Thank you for the detailed response and additional experiments. I agree with the following point, and would not reflect the following point for deducting the rating of the paper.
__Purification on training-time attacks__
I still consider that the novelty of this work is incremental, as directly applying diffusion/EBM (for adversarial purification) to mitigate poisoning attack. This would be the primary reason of my rating of this paper, unless having ample experiments.
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On the other hand, I address further questions below.
__Defense-aware Poisoning__
The authors mentioned that "_cannot hypothesize new poison techniques to bypass PureGen._" However, there is a simple and efficient poisoning method that can bypass the purification method.
For example, we know from the literature that the ODE and SDE that runs through the diffusion model (and also the EBM) have the same density function, according to the _Fokker-Planck equation_.
Then, for example, there can be a full pipeline that starts from the _purified image_ to the classifier:
1. begin with the noisy image, and run the purifier to obtain the clean(-ized) image.
2. Then, run the "poisoned" network for prediction.
According to the authors' response, the authors presumed that the poisoning method for the purifier is beyond the scope. However, we can raise some issues:
- The ODE solver is effectively a series of deterministic forward neural network run. This means that, if we run 10 steps of ODE solver, the purifier-classifier pipeline can consist of __"10 steps of deterministic run"-"classifier"-"prediction"__, which is just a larger neural network. In this case, train-time poisoning is obviously available without complex methods bypassing the obfuscated gradients proposed in [Athalye et al., 2018] or so.
Can the authors manage this issues that the attacker threatens not only the classifier but the generative models?
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[Athalye et al, 2018] Obfuscated Gradients Give a False Sense of Security, ICML 2018
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__Posterior Mismatch Issues__
Firstly, we agree with the authors that this is not the primary issue of this paper, and __we do not deduct rating__ with respect to this following part. Nevertheless, there is still not enough relevance between [_Truncation of DDPM posterior_] and [_Better performance of train-time derense_] without any generic analysis. Hence, I do not agree with the authors to move this part into the main part of the paper.