Further response to the comments
Thanks very much for the additional insightful comments and suggestions.
>1. The authors have provided some results on down-sampled ImageNet datasets to illustrate the performance on small datasets, which conducts the ablation of dataset sizes via changing resolutions. I am curious about the studies with respect to changing the number of images and the number of classes. For example, how about the performance on small-scale datasets like CIFAR? The authors have mentioned in the supplement that the method is for large-scale datasets and the results on small datasets are not competitive. I definitely understand this. Nevertheless, I think it is important to report these results or some other forms of ablation studies on the number of images to help readers understand what sizes of datasets can benefit from this method.
Adjusting the number of images can have a notable impact. Generally, having more images for each class in the original dataset tends to result in better-trained models. These improved models can often reproduce higher-quality images. As for altering the number of classes, we have presented the ImageNet results corresponding to varying class numbers, specifically, 1K, 100, and 10 classes, in the last three rows of the table in rebuttal of **W2 (3)**.
Here, we incorporate additional ablation experiments on the CIFAR-10/100 datasets and the results are shown in the table below. The adapted ResNet-18 is utilized as a backbone model throughout our SRe2L's three phases. Our prior ablation findings showed that the proposed approach excels particularly with ImageNet scale, especially with resolutions exceeding 64 $\times$ 64 and classes numbering more than 100. On the relatively large CIFAR-100 dataset with more classes, our results parallel those of leading-edge methods, such as DM, CAFE, and MTT, among others. However, on the small CIFAR-10, the gap is clearly observed. Overall, the new CIFAR experiments suggest that our approach might not offer significant benefits for lower-resolution 32 $\times$ 32 datasets, such as CIFAR-10/100. We will include these results with discussions in our revised paper.
| IPC | CIFAR-100 | CIFAR-10 |
| --- |:---------:|:--------:|
| 50 | 49.37 | -- |
| 100 | 54.08 | 60.97 |
| 200 | 57.86 | 71.33 |
>2. I notice that the authors use a trick of "Multi-crop Optimization", which is related to some recent works on synthetic data parameterization [a, b, c], and the performance is indeed sensitive to this operation. The authors are encouraged to have a discussion with these related works.
[a] Dataset Condensation via Efficient Synthetic-Data Parameterization (Jang-Hyun Kim et al., ICML 2022)
[b] Dataset Distillation via Factorization (Songhua Liu et al., NeurIPS 2022)
[c] Remember the Past: Distilling Datasets into Addressable Memories for Neural Networks (Zhiwei Deng et al., NeurIPS 2022)
Thanks for introducing these related papers. IDC [a] integrates multi-formation, updating various cropped regions in every iteration. When examined in our framework, the results indicated only a slight increase in accuracy, but this was offset by a considerably longer recovery time. Conversely, our approach utilizes a single-formation, updating just one cropped area at a time. This strategy is consistent with the RandomResizedCrop operation used during the post-training phase.
[b] proposes a hallucinator-basis factorization method for the dataset distillation task. It leverages hallucinators to encode inner relations between different samples in original datasets, also introduces a pair of adversarial contrastive constraints to diversify the knowledge captured by different hallucinators. [b] argued that the data augmentations, e.g., multi-crop, cannot encode any information about the target datasets, and further proposes their approach to enhance the informativeness gained in distilled data.
[c] proposes to learn a set of bases/memories which are shared between classes and combined through learned flexible addressing functions to generate a diverse set of training examples.
We will definitely add the discussions with these related works in our revision.