[Response for Reviewer Um8m] Part 2
**User study setup.**
**Study 1.** We follow the setup by An et al. [MIRROR] for human study. Specifically, in this study, • Users are shown 5 real images of a person (identity) as reference. • Then users are required to compare the 5 real images with two inverted images: one from our method, the other from BREPMI. We use $D_{priv}$ = CelebA, $D_{pub}$ = CelebA and $T$ = FaceNet64. Following An et al., we randomly selected 50 identities with 10 unique users evaluating each task accounting to 1000 comparison pairs. More details in the rebuttal PDF submission. We used Amazon Mechanical Turk (MTurk) for these experiments.
**Study 2.** Here we follow the exact setup as User Study 1 above, but including the **option of rejecting both results** in cases where both reconstructed images fail to capture the target identity (This variant was suggested by Reviewer 5AoF).
**User Study results.**
**Study 1.** These results are included in rebuttal PDF submission. Our first human study reveals that users distinctly favor our approach, with **64.30% user preference for images reconstructed using our proposed approach**, in contrast to BREPMI’s lower 35.70% user preference.
**Study 2.** Our second human study reveals that **only 2.44% of attack evaluations are rejected by the users (Choose “Reject Both” option)**, with remaining users distinctly favoring our approach. In particular, **60.98% users prefer images reconstructed using our proposed approach**, in contrast to BREPMI’s lower 36.59% user preference. The results are included below.
| Method | User Preference ($\uparrow$) |
|-|-|
| BREPMI | 36.59% |
| Ours ($S_{en}$) | **60.98%** |
| Reject Both | 2.44% |
These subjective evaluations further show the efficacy of our proposed method in the challenging label-only MI setup.
[MIRROR] An, Shengwei et al. MIRROR: Model Inversion for Deep Learning Network with High Fidelity. Proceedings of the 29th Network and Distributed System Security Symposium.
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> It would be interesting to also include structural similarity scores for the evaluations.
Thank you for your suggestion. As per reviewer's request, we include the average structural similarity (SSIM) scores for reconstructed images (measured with respect to private training data) for BREPMI and Ours. We also include SSIM scores for LOMMA, the SOTA White-box MI attack method for reference.
We use $T$ = FaceNet64, $D_{pub}$ = CelebA, $D_{priv}$ = CelebA setup to report SSIM results. The results are included below. **These additional SSIM values clearly indicate that our proposed method reconstructs samples with higher structural similarity compared to BREPMI**. We will include all these additional results in the revised version.
| Attack | SSIM ($\uparrow$) |
|-|-|
| LOMMA (SOTA White-box MI Attack for reference) | 0.443 ± 0.113 |
| BREPMI (Label only MI) | 0.372 ± 0.115 |
| Ours ($S_{en}$) (Label only MI) | **0.416 ± 0.105** |
[LOMMA] Nguyen, N. B., Chandrasegaran, K., Abdollahzadeh, M., & Cheung, N. M. (2023). Re-thinking Model Inversion Attacks Against Deep Neural Networks. In CVPR 2023.
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> It would be interesting to compare the knn distances of the attacks with the average distance between the images of the same class. The idea here is to see if the attack only gives an average image from the class or can it give more details. Same for the other metrics.
Following the reviewer’s suggestion, we compute **Average dist** which is the average distance between the reconstructed images of a specific identity and the private images of the same identity. Specifically, the average distance is computed using the L2 distance in the feature space which is extracted from the evaluation model’s penultimate layer.
Additionally, we compute **Feature dist** [RLBMI]. Feature dist measures the distance between the features of a reconstructed image and the **centroid** features of the private images of the same target class. Particularly, the features of an image are the output of the penultimate layer of the evaluation model.
The result shows that our reconstructed images are closer to a specific private sample than BREPMI (KNN distance is smaller). Our reconstructed images are also closer to the **average image** of the private samples (Our average dist and feat dist are smaller than BREPMI).
Table. The comparison of KNN distance, Average distance, and Features distance. We use $T$ = FaceNet64, $D_{priv}$ = CelebA, $D_{pub}$ = CelebA.
| Attack | KNN dist ($\downarrow$) | Average dist ($\downarrow$) | Feat Dist ($\downarrow$) |
|-|-|-|-|
| BREPMI | 1284.41 | 1719.86 | 1181.66 |
| Ours | **1181.72** | **1600.68** | **1062.48** |
[RLBMI] Han, G., Choi, J., Lee, H., & Kim, J. (2023). Reinforcement Learning-Based Black-Box Model Inversion Attacks. CVPR 2023.
We hope Reviewer could consider to increase the ratings from initial decision if the additional set of experiments can resolve Reviewer’s concern. Thank you very much again for the new set of comments.