Common response to all reviewers
We thank the reviewers for their helpful and insightful comments.
We uploaded a revised version of the paper addressing the reviewers' comments. Specifically, we made the following modifications:
- We added a new Appendix G with more qualitative results on larger 8B RMs, and its associated descriptions in lines 336-338 and 467-469.
- We improved the clarity of Figures 4 and 5 by labelling each perturbation as CF or SF in the figures and adding relevant captions.
- We added three more references in Appendix A linking our way of finding the list of attributes to the literature of thematic analysis of texts.
- We additionally identified a minor typo in notations in lines 147-149 and made corresponding corrections in Section 2.2.
Two common concerns were raised by all reviewers. We therefore provide a detailed response to them below. For other questions, please see our individual responses to each reviewer.
### **1. We added a new Appendix G with more qualitative results on larger 8B RMs.**
Following the reviewers' comments, we additionally conducted one investigation with two state-of-the-art 8-billion-parameter RMs, and identified a new failure case using our explanation method. One new RM is a customised Llama-3-8B model on the OffsetBias dataset from [Part et al., 2024], and the other one is Skyworks-8B RM from [Liu et al., 2024]. Both are among the top-performing models on the RewardBench benchmark.
Starting from the undesirable behaviours of the v2 RM discussed in Section 4.2.1, we tested two 8B RMs on the same local example and discovered that they do not improve on all the failure cases of v2. Further, based on the observation that v2 prefers the response "What the hell do you mean by that?" than "What exactly do you mean by that?" to a harmful question, we collected similar cases from our experiments on the Harmless dataset and obtained 110 test comparisons, where each question contains harmful or sensitive contents, one response (from the Harmless dataset) is something like "what do you mean?" and the other response (from our perturbations) adds the disrespectful phrase "the hell" into that response. We discovered that for 30\% and 15\% of the time (respectively for the two models), the two 8B RMs prefer the disrespectful response. Therefore, through our method, we found that such undesirable behaviours not only exist in the smaller RMs but also exist in the state-of-the-art ones. Details of this new analysis are written in Appendix G.
This new experiment is a good example of how our proposed explanation method enables fine-grained explorations of RM behaviour, that complement those originally included in the paper. It illustrates many potential analyses that could be performed after generating contrastive explanations, thus highlighting the potential impact and flexibility of our method.
### **2. About the list of attributes in our method.**
We kept our formalisations of contrastive explanations agnostic to the list of attributes specified. In the paper, we instantiated our list of attributes suitable for the datasets we used, and we adopted the same list for all experiments because we would like to perform global analysis along the attributes. Through our method, we could interpret and calibrate RM behaviours against the list of attributes we’re interested in, which existing methods couldn’t offer. Alternatively, the list of attributes could be easily customised, e.g., asking an LLM to identify possible relevant attributes for each comparison, thus using a different list of attributes for every comparison to explain.
We believe our work complements the existing literature on identifying various types of biases in RMs, e.g. [Zeng et al., 2024], [Park et al., 2024], [Wang et al., 2024a], allowing us to interpret RM preferences along any attributes.