### 1. **Motivation and Definition of Explicit Scene Representation**
We apologize for any miscommunication and will revise the paper to better define terms like "explicit scene representation," "symbolic reasoning model," and "generative model." We thank the reviewer for their constructive feedback and will incorporate these clarifications in the revised manuscript.
- **Motivation for Explicit Scene Representation**. As cited in related works like NS-VQA [1], NS-DR [2], and P-NSVQA[3], VR-DP[4], PO3D-VQA[5], the compositional reasoning model with explicit scene representations has a long history and is proved effective for tasks requiring reasoning about object’s properties and interactions. These previous works demonstrate that the compositional reasoning models are beneficial from the explicit 2D / 3D scene representation in terms of accuracy, interpretability, and robustness for out-of-domain reasoning[3]. This motivation for explicit scene representations is consistent with our aim for 3D dynamical scenes.
Especially, for our video questions answering tasks, capturing explicit 3D and temporal (4D) dynamics allows us to understand and reason about object interactions in a structured and interpretable way, which is crucial for answering 4D dynamics questions.
- **What is Explicit Scene Representation**: As written in Section 4.1 (line 308) in the paper, the explicit scene representation is a 3D representation of objects and their properties (e.g., position, velocity, acceleration) over time. This structured representation serves as the foundation for symbolic reasoning.
- **The concept between "scene parsing module" and "3D generative model"**. As written in Section 4.2 (line 318 to line 323), the scene parsing module uses the 3D generative model as its core component to infer the dynamic properties of the scene. The generative model provides the underlying framework for estimating 3D world states from video frames, while the scene parsing module applies this model to sequential data, integrating temporal and physical reasoning.
- **How do the "3D generative representation" and "symbolic reasoning module" work together.** The implementation follows the prevailing neural symbolic reasoning pipeline (NS-VQA [1], NS-DR [2], and P-NSVQA[3]). The **3D generative representation** provides a structured, interpretable representation of the scene, including object positions, poses, and physical properties over time. The **symbolic reasoning** module operates on this representation to answer high-level questions step by step. For each step, the operation is implemented by a function, to query the related properties and get the intermediate result, to pass to the next operation [1].
### **2. Significance of the Proposed Dataset**
We appreciate the feedback and agree that the dataset does not cover all real-world scenarios. However, similar to previous benchmarks like CLEVR, CLEVRER and SuperCLEVR, our dataset is intended as a starting point for studying 4D dynamics in a controlled setting. While the scenarios are simplified, they provide a strong foundation for understanding and benchmarking dynamic reasoning tasks.
Compared to previous datasets (CLEVR, CLEVRER, SuperCLEVR), our dataset offers significantly more realistic 3D assets (agreed by **Reviewer jmWM** ), dynamic properties, and annotated ground truth. Moreover, our framework is designed to be extensible, and future iterations will incorporate more complex and realistic scenarios. We will emphasize these points in the revised manuscript and discuss the extendability of our approach.
**Reference**
[1] Yi, Kexin, Jiajun Wu, Chuang Gan, Antonio Torralba, Pushmeet Kohli, and Josh Tenenbaum. "Neural-symbolic vqa: Disentangling reasoning from vision and language understanding." Advances in neural information processing systems 31 (2018).
[2] Yi, Kexin, Chuang Gan, Yunzhu Li, Pushmeet Kohli, Jiajun Wu, Antonio Torralba, and Joshua B. Tenenbaum. "Clevrer: Collision events for video representation and reasoning." arXiv preprint arXiv:1910.01442 (2019).
[3] Zhuowan Li, Xingrui Wang, Elias Stengel-Eskin, Adam Kortylewski, Wufei Ma, Benjamin Van Durme, and Alan L Yuille. Super-clevr: A virtual benchmark to diagnose domain robustness in visual reasoning. In Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pp. 14963–14973, 2023.
[4] Ding, Mingyu, Zhenfang Chen, Tao Du, Ping Luo, Josh Tenenbaum, and Chuang Gan. "Dynamic visual reasoning by learning differentiable physics models from video and language." Advances In Neural Information Processing Systems 34 (2021): 887-899.