Further clarification
Thanks for your response to our rebuttal! We will further clarify our method and the motivation of it in detail.
**[1] Motivation of augmentation enhancement**
To make clear our motivation, we first revisit the mechanism of error-minimization and then clarify the motivation and the statement in Line 209.
- **Mechanism of error-minimization** In Equations (2,4) of our paper, error-minimization refers to a min-min optimization of an objective (SL or CL) loss with respect to weights and perturbations. It aims to generate perturbed data that can be extremely easily optimized by the cross-entropy loss for SL or by InfoNCE loss for CL.
As a result, this characteristic of poisoned data, which makes the loss function converge easily, leads to a model that only learns the fraudulent synthetic patterns from perturbations and fails to learn the true ground-truth data distribution during training. For example, in Figure 7 of our paper, we closely examine the training process on poisoned data and find it converging rapidly.
- **Motivation of our method and the statement in Line 209**
To obtain unlearnability for CL, the existing path is contrastive error-minimization (CP, TUE, TP) based on the CL training process.
In this paper, we aim to provide a solution based on the SL training process which is more efficient.
Recall that Equation (2) differs from Equation (4) with the loss function choice, say, SL loss vs. CL loss. Our **key insight** is, that using contrastive augmentation in SL loss and optimizing it can implicitly reduce the CL loss to some extent, as shown in Figure 4. (More empirical observations and theoretical analysis about this have been discussed in Section 4.1 and Appendix E.)
Thus, for our proposed AUE attack, while it appears to be performing supervised error minimization, it is also carrying out contrastive error minimization.
That is, as stated in **Line 209**, the enhanced data augmentation allows supervised error-minimization to partially serve the role of contrastive error-minimization. We verify this claim in Figure 5(a) of our paper, in which the InfoNCE loss during training on AUE poisoned data is largely reduced, achieving a similar effect of contrastive error-minimization.
**[2] Implementation schemes of augmentation in our attacks**
- **Augmentations in SL and CL** CL typically uses more and stronger data augmentations compared to SL. Specifically, SL generally relies on simpler augmentations like cropping and flipping, whereas contrastive learning incorporates more advanced techniques such as color jittering, grayscale, and others.
SL-based attacks typically leverage the mild data augmentation used in supervised learning.
- **Default constant strength scheme**
To enhance the contrastive unlearnability of SL-based attacks, we replace the data augmentation with contrastive augmentation and adjust the intensity of augmentation through a strength parameter, as shown in Appendix C.2, Code Listing 1.
By default, we fix the augmentation strength as a constant value in the generation of AUE and AAP attacks, as discussed in Appendix D.4.
Comprehensive experiments show that our attacks are both effective and efficient against SL and CL simultaneously.
- **Annealing and tempering schemes**
In the previous rebuttal, besides the constant augmentation scheme, we also try annealing and tempering schemes. These two dynamic choices are inspired by [1], which proposes that annealing down augmentation strength is beneficial for adversarial contrastive learning. We want to see if dynamic schemes also benefit our problem.
As shown in Figure 1 of our rebuttal, on CIFAR-10, the improvement of a particularly selected alternative scheme is marginal compared to the default one. Therefore, we believe that the **decisive factor** in our method is the contrastive augmentation itself, rather than the choice between constant and dynamic schemes for the augmentation.
[1] Luo R, Wang Y, Wang Y. Rethinking the effect of data augmentation in adversarial contrastive learning. ICLR 2023.
We hope our reply makes things more clear. Feel free to let us know if you still have concerns.