Research map / Large language models / Alignment and preferences
Bayesian Preference Learning for Test-Time Steerable Reward Models
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Proposes Variational In-Context Reward Modeling (ICRM), which trains a classifier reward model to output a Beta posterior over Bradley-Terry preference probability conditioned on in-context preference demonstrations, enabling test-time steerability.
Problem
Classifier reward models are static after training and cannot adapt to new or mixed preference distributions at test time, and they are prone to over-optimization in RL.
Approach
Cast reward modeling as amortized variational inference: a KL-regularized Beta posterior over the BT preference probability, with a utility and a confidence head, conditioned on in-context preference demonstrations; the closed-form ELBO yields a global interior optimum and tempered preference means.
Key results
- On RM-Bench, ICRM average accuracy rises from 60.5 at N=1 to 70.8 at N=64, comparable to BTRM (70.2) and LLM-as-a-Judge (70.3).
- On moral dilemma calibration, ICRM ECE decreases from 0.099 at N=8 to 0.076 at N=64, lower than the Qwen3-4B LLM-as-a-Judge baseline.
- In RLVR, Qwen3-1.7B-Base trained with ICRM (lambda=0.1) reaches 53.8% MATH-500 accuracy versus 50.4% for the verifier and 51.4% for the BT reward model.
Surprising findings
- Reversed-label safety evaluation shows ICRM can be steered to prefer harmful responses, reaching up to 89% accuracy under reversed demonstrations.
- Policy trained with the learned ICRM reward outperforms the gold verifier on MATH-500 by about 3.4 points.
Limitations
- Context length limit of 16,384 tokens restricts the number of demonstrations; experiments stop at 32-64.
- Multi-objective Pareto dominance over static RMs depends on the backbone; Llama-3.2-3B does not uniformly dominate.
- Steerable models can be pushed toward harmful preferences, requiring safeguards.
Experimental setup
Datasets: Skywork-Preferences-v0.2 INTELLECT-MATH SafeRLHF HHH-Alignment RM-Bench PRINCIPLES moral dilemma pairs
Benchmarks: RM-Bench SafeRLHF HHH-Alignment MATH-500 moral dilemma preferences (PRINCIPLES)
Metrics: accuracy ECE RMSE hypervolume Pearson r R^2
Baselines: Bradley-Terry RM ArmoRM GRM LLM-as-a-Judge GRAM-r^2 Skywork-Reward-Llama-3.1-8B-v0.2 exact-match verifier
Builds on: Bradley-Terry model variational autoencoder ELBO GRPO Skywork-Reward
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