Rebuttal to all reviewers
## Common Concerns 1: More experiments.
**1. Calculate FID and Total Variance For ControlNet, MIControlNet(1-stage) and MIControlNet(2-stage).**
Below is the table presenting the FID and Total Variance (TV, in units of $1\times 10^4$) for Canny and OpenPose conditions under three scenarios: no prompts, brief prompts, and detailed prompts. The following summary tables provide an overview of the results.
| **(FID, TV)** | **ControlNet** | **MIControlNet(1-stage)** | **MIControlNet(2-stage)** |
| ----------------------------- | ---------------- | ------------------------- | ------------------------- |
| **Canny No Prompts** | 109.6, 2.62 | 114.4, 3.54 | **123.9, 3.79** |
| **Canny Brief Prompts** | 89.34, 2.48 | 89.77, 3.24 | 90.18, 3.15 |
| **Canny Detailed Prompts** | 88.55, 2.47 | 90.21, 3.28 | 89.37, 3.36 |
| **OpenPose No Prompts** | 132.5, 3.34 | 131.9, 3.39 | **133.0, 3.67** |
| **OpenPose Brief Prompts** | 97.08, 2.52 | 98.32, 2.71 | 98.14, 2.74 |
| **OpenPose Detailed Prompts** | 99.09, 2.70 | 95.34, 2.92 | 94.16, 2.91 |
We have the following findings:
* MIControlNet, with or without the conservativity loss, **demonstrates similar FID performance**. However, **with conservativity loss, MIControlNet exhibits improved pattern generation ability** under silent control signals, **as highlighted in the table above.**
* MIControlNet achieves **comparable FID performance** to the baseline but **demonstrates significantly stronger performance in terms of total variance.**
* When comparing **no prompts**, **brief prompts**, and **detailed prompts**, **providing more detailed prompts generally leads to better FID performance and smaller total variance.**
* Interestingly, **for detailed prompts, the total variance tends to slightly increase**. We hypothesize that this is due to the **more detailed prompts offering finer control under silent control signals**, thereby generating more diverse patterns.
**2. The $Asym$ for Regular ControlNet**
We calculate the $Asym$ for Regular ControlNet and compare it with our MIControlNet(1-stage) and MIControlNet(2-stage), the results are shown in the following table:
| Condition | Canny | Hed | OpenPose |
| ---------------------- | ------ | ------ | -------- |
| ControlNet | 56.75 | 22.41 | 6.454 |
| MIControlNet (1-stage) | 29.87 | 38.28 | 3.980 |
| MIControlNet (2-stage) | 0.1174 | 0.1894 | 0.0274 |
We have the following findings:
* MIControlNet (1-stage) performs slightly better than ControlNet in terms of $Asym$.
* MIControlNet (2-stage) significantly outperforms both ControlNet and MIControlNet (1-stage) on $Asym$.
* For each condition, MIControlNet(2-stage) demonstrates consistent improvements on a logarithmic scale.
## Common Concerns 2: A more clear ablation.
The FID for a throughly ablation:
| Method | Openpose-Canny | Canny-Hed | Hed-Depth |
| ------------------------------------- | --------------------- | --------------------- | --------------------- |
| Vanilla ControlNet | 80.37 / 111.30 | 123.59 / 86.43 | 91.98 / 86.25 |
| + Data Augmentation | 92.98 / 84.02 | 77.02 / 75.46 | 74.28 / 81.16 |
| + Our Feature Injection & Combination | 76.13 / 77.22 | 74.19 / 70.26 | 71.16 / 71.93 |
| + Conservativity Loss | **75.77** / **72.25** | **71.34** / **69.35** | **69.68** / **71.18** |
We observe the following:
* Our silent control signal-targeted data augmentation, feature injection & combination, and conservativity loss all lead to improvements in FID scores.
* The conservativity loss, particularly for Canny combined with other conditions, achieves a consistent improvement of approximately 3 points in FID.
* The improvements achieved through the conservativity loss are consistent, and we have further strengthened its theoretical foundation, particularly in the context of modular neural networks designed to **optimize GPU memory usage and computational efficiency**.