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**Detector Knowledge.**
For the detector knowledge, please see Tables 5 and 6 in the PDF file attached to the "Author Rebuttal by Authors”. We have also put the results in the tables below for your convenience.
**User-friendly Text.**
While there exists a trade-off between user friendliness and performance, user-friendly prompts still improve when using CLIP image features. Due to space limitations, we only showed the AbsRel metric for DPT in Table 4 in the main paper. Below, we provide experiments for all depth models tested, where User-friendly-1 denotes input with "An image with $\mathbf{c^{(1)}}$, $\mathbf{c^{(2)}}$, ..." and User-friendly-2 denotes "An image with $\mathbf{K^{(1)}}$ $\mathbf{c^{(1)}}$, $\mathbf{K^{(2)}}$ $\mathbf{c^{(2)}}$, ...", and RSA (Ours) denotes "An image with $\mathbf{c^{(1)}}$ occupied $\mathbf{p^{(1)}}$ of image, ...". For one given image, $\mathbf{c^{(i)}}$ is the class of a detected instance, $\mathbf{K^{(i)}}$ is the number of all instances belonging to $\mathbf{c^{(i)}}$, $\mathbf{p^{(i)}}$ is the bounding box area of the instance with respect to the image.
Naturally, with a more descriptive text caption (e.g., including the percentage of occupied space in the image), one can improve performance, but at the expense of ease of use. While we reported the overall best as our method [RSA (Ours)], we note that user-friendly prompts are comparable when considering all metrics. All improve over CLIP image features thanks to the text being invariant to nuisances (e.g., illumination, occlusion, viewpoint) present in images.
**Table 5: Additional experiments on NYU-Depth-v2.**
| **Models**| **Scaling**| **Dataset**| $\delta<1.25 \uparrow$|$\delta<1.25^{2} \uparrow$|$\delta<1.25^{3} \uparrow$|Abs Rel $\downarrow$|$\log _{10} \downarrow$|RMSE $\downarrow$ |
|---|---|---|---|---|---|---|---|---|
| **DPT**| |||||| ||
|| CLIP image feature| NYUv2, KITTI|0.911|0.989|0.998|**0.098**| 0.043| 0.355 |
|| Detector feature| NYUv2, KITTI|0.903|0.989|0.998|0.101| 0.045| 0.366|
|| User-friendly-1| NYUv2, KITTI |0.912|0.988|0.998|0.099|0.043|0.353|
|| User-friendly-2| NYUv2, KITTI |**0.915**|**0.990**|**0.999**|**0.098**|0.043|0.354|
|| **RSA (Ours)**| NYUv2, KITTI|0.913| 0.988| 0.998|0.099| **0.042**| **0.352**|
| **MiDas**||||||| ||
|| CLIP image feature| NYUv2, KITTI|0.724| 0.952| 0.992|0.173| 0.074| 0.579 |
|| Detector feature| NYUv2, KITTI|0.714|0.963| 0.995| 0.181| 0.073| 0.554|
|| User-friendly-1| NYUv2, KITTI |0.727|0.954|0.994|0.170|0.072|0.557|
|| User-friendly-2| NYUv2, KITTI |0.731|**0.964**|**0.996**|0.171|0.073|**0.552**|
|| **RSA (Ours)**| NYUv2, KITTI|**0.737**|0.959| 0.993| **0.168**| **0.071**| 0.561|
| **DepthAnything**||||||| ||
|| CLIP image feature| NYUv2, KITTI|0.710|0.947|0.992|0.181|0.075|0.574 |
|| Detector feature| NYUv2, KITTI|0.705|0.961| 0.995| 0.161| 0.074| 0.533|
|| User-friendly-1| NYUv2, KITTI |0.753|0.963|0.995|0.152|0.069|0.512|
|| User-friendly-2| NYUv2, KITTI |0.765|0.970|**0.996**|0.150|0.067|0.503|
|| **RSA (Ours)**|NYUv2, KITTI|**0.776**| **0.974**|**0.996**|**0.148**| **0.065**| **0.498** |
**Table 6: Additional experiments on KITTI Eigen Split.**
| **Models**| **Scaling**| **Dataset**| $\delta<1.25 \uparrow$|$\delta<1.25^{2} \uparrow$|$\delta<1.25^{3} \uparrow$|Abs Rel $\downarrow$|$\text{RMSE}_{\log} \downarrow$|RMSE $\downarrow$ |
|---|---|---|---|---|---|---|---|---|
| **DPT**| ||||||||
|| CLIP image feature| NYUv2, KITTI|0.956|0.989|0.993|0.066|0.098|2.477 |
|| Detector feature| NYUv2, KITTI|0.918|0.989| 0.998| 0.108| 0.135| 2.997|
|| User-friendly-1| NYUv2, KITTI |0.958|0.992|0.998|0.065|0.092|2.387|
|| User-friendly-2| NYUv2, KITTI |0.960|0.992|**0.999**|0.066|0.090|2.356|
|| **RSA (Ours)**| NYUv2, KITTI |**0.962**|**0.994**|0.998| **0.060**| **0.089**| **2.342** |
| **MiDas**|||||||||
|| CLIP image feature| NYUv2, KITTI|0.718|0.943|0.979|0.171|0.211|4.456|
|| Detector feature| NYUv2, KITTI|0.735|0.934| 0.985| 0.168| 0.202| 4.468|
|| User-friendly-1| NYUv2, KITTI |0.763|0.944|0.986|0.163|0.199|4.313|
|| User-friendly-2| NYUv2, KITTI |0.775|0.945|**0.988**|0.162|0.198|4.268|
|| **RSA (Ours)**| NYUv2, KITTI |**0.782**| **0.946**|0.980| **0.160**| **0.194**| **4.232**|
| **DepthAnything**|||||||||
|| CLIP image feature| NYUv2, KITTI|0.697|0.933|0.977|0.181|0.218|4.824 |
|| Detector feature| NYUv2, KITTI|0.708|0.934| 0.989| 0.173| 0.210| 4.660|
|| User-friendly-1| NYUv2, KITTI |0.721|0.951|0.986|0.167|0.201|4.512|
|| User-friendly-2| NYUv2, KITTI |0.743|0.953|**0.990**|0.161|0.198|**4.347**|
|| **RSA (Ours)**|NYUv2, KITTI |**0.756**|**0.956**| 0.987|**0.158**|**0.191**| 4.457 |