Reply to reviewer hsxN
**W1. Notations: Lines 247 - 256 (Section 3.2, last frame guidance with DDS) was kind of confusing at first, with many similar looking notations without predefinitions, and mixed use of notations as functions and variables.**
**A.** In response to the reviewer’s request, we modified the mixed use of notations as functions and variables. We further revised confusing definitions. Please refer to the revised Section 3.
**W2, Q1. I am not fully convinced if the proposed bidirectional sampling itself is a powerful method compared to existing works, and suspect the superior performance could have come from the advanced manifold guidance methods, which, is hard to say to be a contribution. Could the authors provide experiments on this, to ablate and show the importance of bidirectional sampling?**
**A.** Thank you for your constructive suggestions that highlight our contributions. First, we would like to inform the reviewer that we have already demonstrated the superior performance of our bidirectional sampling method, referred to as “Ours (Vanilla),” compared to time reversal fusion (TRF) across all experiments and metrics. Unlike Generative Inbetweening, which requires fine-tuning of the diffusion model, our method operates entirely in a training-free manner.
Moreover, we have conducted additional ablation studies and included further visualizations to demonstrate the effect of each building block. Please refer to the additional project page (https://vibid.github.io/supple/) and the Appendix B.2.
As illustrated in the first section of our anonymous webpage, the vanilla TRF model exhibits unnatural motion in videos featuring a coffee machine and a child kicking a ball. In contrast, our vanilla model produces more natural motion and visually vivid frames compared to the TRF vanilla model. We also agree that when advanced guidance techniques, such as CFG++ and DDS, are applied to TRF and our method, video quality of both methods improves. Nonetheless, the videos generated by the TRF model with these guidance techniques remain inferior to our model. These qualitative observations are consistent with the quantitative analysis presented in the Table 5.
Specifically, as shown in the second section of our anonymous project page, the goldfish positioned on the far left in the vanilla TRF model disappears in the intermediate frames. In contrast, the fish exhibits natural movement in the videos generated by our vanilla model. Additionally, while the camel's shape appears blurred and its movement lacks smoothness in videos produced by the vanilla TRF model, our vanilla model demonstrates improved clarity in the camel's form. Furthermore, when advanced guidance techniques are applied, the videos display enhanced quality in the camel's leg shapes and movements.
| Vanilla | LPIPS ↓ | FID ↓ | FVD ↓ | | CFG++ & DDS | LPIPS ↓ | FID ↓ | FVD ↓ |
|------------------ |:------------------:|:-----------------:|:-----------------:|:-----------------:|:------------------|:-----------------:|:-----------------:|:-----------------:|
| TRF | 0.2222 | 80.618 | 880.97 | | TRF | 0.2010 | 52.738 | 778.69 |
| Generative Inbetweening | 0.1523 | 40.470 | 746.26 | | Generative Inbetweening | 0.1662 | 42.487 | 747.95 |
| **Ours** | 0.2074| 63.241 | 717.37 | |**Ours** | **0.1366** | **37.341** | **452.34** |
**Q2. There are three steps, (1) denoising (w/ c_start), (2) renoising, (3) denoising (w/ c_end). I am specifically curious of this process in that the (2) renoising step could possibly remove the information from (1) denoising, and the conditioning could have possibly be injected only at (3), making the steps (1) and (2) redundant. A further analysis / clarification on this part, that the proposed method surely takes both start / end frame conditioning.**
**A.** The renoising step is not redundant but rather a critical component of bidirectional sampling. During the renoising step, a small amount of additional stochasticity is introduced (Eq. 8), which plays a key role in preventing mode collapse problem by facilitating the effective integration of information from both the forward and backward paths.
For easy understanding, we additionally conducted a simple comparison using only the (3) denoising step (w/ $c_{end}$) as suggested by Reviewer. As shown in the Table, our method outperforms the approach using only the (3) denoising step (w/ $c_{end}$). This ablation study confirms that our slight renoising step retains the information from the (1) denoising step.
| Steps | PSNR ↑ | SSIM ↑ | LPIPS↓ | FVD ↓|
|------------------ |:------------------:|:-----------------:|:-----------------:|:-----------------:|
| Ours w/o (1),(2)| 18.5487 | 0.4799 | 0.2183 | 652.32 |
| **Ours** | **21.4235**| **0.5939** | **0.1366** | **452.34** |