Response
Thank you for the valuable time you have spent reviewing our paper.
**Evaluation - Metrics**
Thank you for the suggestion to evaluate the world models for sequential decision-making using MPC. We agree that the experiment you proposed makes sense and would be very insightful. However, given the short time frame of the rebuttal period we have had to defer this to future work.
We have added information about the accuracy of the action predictors on each dataset to appendix B3:
Coinrun:
“The action classifier achieves an accuracy of 0.267 on real videos from a held-out test-set. The accuracy score is low because not all of the 15 actions result in different outcomes in all states in Coinrun. Therefore it is not possible to predict actions at near 100\% accuracy as the action taken is often ambiguous.”
RT1:
“The action error predictor achieves an MSE of 0.110 on a held-out test set of normalized actions.”
**Evaluation - Baselines**
We agree that tuning the baseline hyperparameters based on the normalized evaluation metrics is a good idea. We originally used FVD as the tuning metric as it is a highly common video metric. Unfortunately, due to a change in institution the authors have been unable to obtain access to the raw results and so cannot reprocess the results using a different tuning criterion.
We include all of the 8 baselines we suggested in Table 2 for the RT1 results. For the Table 1 Coinrun results, we do not include “Language-Conditioned Finetuning” as language conditioning is not relevant for that domain. Therefore, there are 7 baselines included in the Table 1 results.
The “Full” row indicates models that do not fit within our Small/Medium/Large model groupings because we have not scaled down the trainable parameter counts to reduce model capacity. This includes:
- The pretrained model
- Full-finetuning methods
- ControlNet for RT1 since this is much larger than the small/medium/large models.
- Classifier guidance - for the simpler task of classifying actions, the classifier has a large number of trainable parameters and we therefore do not expect it to be limited by model capacity.
**Evaluation - Ablation Study**
Mask ablation: We cannot say for sure why the mask helps on one domain but not the other. However, a hypothesis is that the movements in Coinrun are discrete and the images are low resolution. Therefore, it is easy for the adapter model to correct incorrect motions output by the base model with or without the mask. In RT1, the images are higher resolution and the movements are more subtle and continuous. Therefore, the mask may make it easier for the model to learn the more challenging task of correcting the motion from the pretrained model in this domain.
Conditioning ablation: We have added the following discussion to the ablations section. “Output conditioning enables AVID to observe errors in the pretrained output and then immediately make corrections. In contrast, NC has slower feedback to correct the pretrained model output as discussed in Zavadski et al. (2023).”
Zavadski, Denis, Johann-Friedrich Feiden, and Carsten Rother. "Controlnet-xs: Designing an efficient and effective architecture for controlling text-to-image diffusion models." *arXiv preprint arXiv:2312.06573* (2023).
Combining NM and NC ablations: Thank you for this suggestion. Unfortunately, due to a change in institution the authors no longer have access to compute so we are unable to run this experiment.
**Limitations of Yang et al.**
Since our submission, we were made aware of another paper which discusses this issue (Du et al. 2023). Du et al. 2023 also point out that the composition is incorrect. However, as t→0 the product model can be approximated by the sum of scores with error→0. Thus, Langevin dynamics with infinite steps and an annealed step size yields the correct distribution. However, the distribution is incorrect for the practical finite-step generation used in diffusion models.
We have added this reference to the discussion in Section 3.2.
Du, Yilun, et al. "Reduce, reuse, recycle: Compositional generation with energy-based diffusion models and MCMC." *International conference on machine learning*. PMLR, 2023.