The response to follow-up questions_1
**1. Please share the revised set of contributions**
The key contributions of this work can be summarized as follows:
We present DoRM, an innovative generator architecture for few-shot generative domain adaptation, drawing inspiration from the learning mechanisms observed in human brains. DoRM stands out by not only producing high-quality, diverse, and consistently cross-domain images, but also integrating memory and domain association capabilities that remain relatively unexplored in the field. Notably, our approach is one of the very few that encompasses all five desired properties of GDA. Moreover, our method showcases superior performance across multiple dimensions compared to the existing similar work, highlighting its advanced contributions.
**2. Evaluation of hybrids**
We meticulously scrutinized the quantitative experiments conducted within the Domain Expansion framework, leading us to adopt a cosine similarity evaluation metric termed "domain similarity" ($Sim$) based on CLIP image encoder ($E_I$). This metric is employed to provide a quantitative assessment of the fidelity exhibited by hybrid domains. In detail, for given generative images in the hybrid domain "sketch-baby" ($I_{SB}$), we extract image features from the provided images ($E_I(I_{SB})$) as well as its corresponding target images ($E_I(I_{S})$ and $E_I(I_{B})$). Therefore, the "domain similarity" to "sktech" and "baby" domain are defined as $Sim1=cos(\overline{E_I(I_{SB})}, \overline{E_I(I_S)})$ and $Sim2=cos(\overline{E_I(I_{SB})}, \overline{E_I(I_B)})$, respectively.
Subsequently, we compute the cosine similarity for each case. The quantification of results from both the one-shot and 10-shot experiments is meticulously presented in Table 1 and Table 2, respectively. These outcomes distinctly illustrate the remarkable performance of our proposed DoRM in both single-domain and hybrid-domain generation. It is imperative to highlight a notable observation amidst these findings: a certain outlier exists. Specifically, the images generated by DynaGAN and HyperdomainNet within the "elsa-sunglasses" domain exhibit a remarkably high domain similarity with the "sunglasses" domain, while conversely displaying significantly lower domain similarity with the "elsa" domain. This phenomenon can be rationalized by the generated images closely resembling the "FFHQ" domain, as depicted in Figure 6 of the attached PDF in the rebuttal. Consequently, the domain similarity to the "FFHQ-sunglasses" domain also emerges as notably high. Drawing upon this observation, we emphasize the necessity for a comprehensive evaluation of hybrid-domain generation that seamlessly integrates both qualitative and quantitative results.
**Table 1. Domain similarity on one-shot GDA. (high is better)**
| Method | elsa | baby |sunglasses|elsa-baby|elsa-sunglasses|
| :-----:| :----: | :----: | :----: | :----: | :----: |
| DynaGAN |0.9165|0.7866|0.8882|0.6196/0.7832|0.6245/0.8467|
| DynaGAN-interpolation |-|-|-|0.6201/0.7836|0.6330/0.8546|
| HyperDomainNet |0.8740|0.7739|0.8589|0.7007/0.7041|0.6554/0.7882|
| Domain expansion |0.9075|0.9614|0.9339|0.7022/0.7762|0.7671/0.6177|
| Ours |0.9309|0.9814|0.9370|0.7173/0.7842|0.7734/0.6377|
**Table 2. Domain similarity on 10-shot GDA. (high is better)**
| Method | sketches | babies |sunglasses|sketches-babies|sketches-sunglasses|
| :-----:| :----: | :----: | :----: | :----: | :----: |
| Domain expansion |0.8958|0.9546|0.9094|0.7480/0.7112|0.7720/0.6735|
| Ours |0.9492|0.9780|0.9136|0.8809/0.7271|0.8057/0.6973|
**3. Why HyperDomainNet using a third-party StyleGAN implementation is a reason to not compare with it?**
The existence of distinct latent spaces within different pre-trained source models hinders a straightforward correspondence of identical source-generated images across these models. While one approach involves obtaining the corresponding hidden space vector through GAN inversion, the absence of inversion code and the inability to generate aligned images with our locally trained model impedes direct application to HyperDomainNet's released code. Moreover, we acknowledge the resemblance shared between DynaGAN and HyperDomainNet, both incorporating a non-linear combinability scale modulation parameter. Opting for either of these methods as a comparative benchmark can effectively underscore the inherent challenges ingrained within their respective frameworks. Fortunately, after a substantial time investment, we have successfully completed the code and generated both quantitative results (as exhibited in Table 1) and qualitative outcomes for HyperDomainNet. Regrettably, in accordance with the NIPS 2023 rebuttal policy, we are constrained from sharing result visualizations via links. We assure you that we will furnish the visual results of HyperDomainNet in the camera-ready version.