We deeply appreciate the time and effort you invested in reviewing our manuscript and your positive feedback on our work. Your comments are invaluable, and we have thoroughly addressed them to improve the quality of our paper. Below, we present our detailed responses to your concerns.
**Q1. Quantization.**
The quantization process described in Sec. 3 involves converting the output of an enhancer into unsigned integers within the range of 0-255. For the "Enhancement first" scheme, we pre-enhanced all outputs and saved the enhanced images before training. As a result, the value of inputs to enhancers is discretized into 256 distinct choices. In contrast, the "Augmentation First" scheme uses the intermediate output of enhancers, which remains continuous. To ensure this difference has minimal impact on the results, we conducted an experiment referred to as "Bread-round". In the rebuttal revision, we have provided a clearer explanation of this process.
**Q2. Rationale of energy modeling, and more details on background prediction and object prediction.**
Previous studies [1,2] have demonstrated that classifiers can be interpreted as Energy-Based Models (EBMs), exhibiting an intuitive property: correctly classified samples are associated with lower energy values, whereas misclassified ones are assigned higher energies. Leveraging this insight, we employ energy-based modeling to intimate the accuracy of object detection systems.
In an object detector, we observe that the correctly classified areas are sparse, only with a minimum difference among clear and damaged images, but the logits in those less confident areas are more sensitive to degradations. Modern object detectors, particularly one-stage models (and to some extent, two-stage detectors), typically feature output layers composed of dual classification heads: one for object classification and the other for background classification (there also exists a localization head; however, it addresses location regression rather than classification). Within the detection pipeline, the model determines whether a data point corresponds to a valid object using the background classification score, which ranges from [0, 1]. A higher score indicates greater confidence in treating the data point as part of the foreground. Subsequently, the class with the highest probability is selected as the final classification output.
To address regions characterized by lower confidence in the background score, we propose a reweighting strategy that amplifies the influence of the classification score in these areas. Specifically, we apply the formulation $(1 - x_{bg}) \cdot x_{cls}$, where $x_{bg}$ represents the background score and $x_{cls}$ denotes the classification score. As this adjustment reduces the overall score magnitude, we introduce a square-root transformation to balance the scaling, yielding a refined confidence measure expressed as $\sqrt{(1 - x_{bg}) \cdot x_{cls}}$. We have refined the manuscript for a clearer presentation of our method.
**Q3. Additional algorithm than IQA for a more convincing conclusion in Chapter 5.2.**
Thanks for your advice. We reorganize the experiments and bring more non-reference metrics for evaluation in Table 2. In the revised version, we involve 5 image quality assessment methods (BRISQUE, NIQE, LIQE, MUSIQ, and ClipIQA), an image aesthetic assessment method NIMA, a color assessment method DeT, and a lightness assessment method LOE to make a more convincing conclusion.
**Q4. Report experiments on more detectors/evaluation metrics in Chapter 5.3.**
Thanks for your precious advice. We reorganized the experiments in Table 3 and adopted another traditional detector YOLOv8, and an open-vocabulary detector YOLO-World for a direct evaluation.
**Q5. References to certain terms and methods.**
Thanks for your suggestion. In the rebuttal version, we have done thorough proofreading and added related references to terms/methods.