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Reducing the Probability of Undesirable Outputs in Language Models Using Probabilistic Inference
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Proposes RePULSe, which augments the standard RL loss (REINFORCE/RLOO) with a loss that samples low-reward outputs via learned proposals and importance sampling from a tracking target distribution, then reduces their probability to improve the reward vs. undesirable-output tradeoff.
Problem
Standard RL alignment of language models reduces the probability of low-reward (undesirable) outputs slowly because such outputs are rarely sampled once the model improves; methods that push harder on them usually hurt average reward.
Approach
Build a target distribution that concentrates on low-reward sequences under the current LM, learn an autoregressive proposal q_xi (initialized from p_theta) by mass-covering CTL/twist learning to sample from it via self-normalized importance sampling, and add a gradient-ascent (negative SFT) loss on those samples to the standard REINFORCE loss.
Key results
- On the SmolLM-135M setting, RePULSe achieves a better Pareto frontier of average return versus probability of bad outputs than REINFORCE baselines, while using half as many policy gradient updates.
- In the toy DistilGPT2 experiment, RePULSe monotonically reduces total probability of bad outputs to a much lower level than RLOO and PPO with nearly identical average reward.
- RePULSe reduces GCG attack success rate compared to baselines on 10 held-out prompts, suggesting improved adversarial robustness.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add the RePULSe low-reward sampling and probability-reduction loss | DistilGPT2 alignment · Toy experiment (single prompt) | probability of bad outputs | Helped |
| Add the RePULSe low-reward sampling and probability-reduction loss | DistilGPT2 alignment · Toy experiment (single prompt) | average reward | No clear effect |
| Add learned proposal sampling and low-reward probability reduction | SmolLM-135M-Instruct alignment · Held-out prompts; reward threshold -5 | reward-versus-bad-output probability frontier | Helped |
| Add learned proposal sampling and low-reward probability reduction | Llama-3.2-1B-Instruct alignment · Held-out prompts; reward threshold -7 | reward-versus-bad-output probability frontier | Helped |
| Add learned proposal sampling and low-reward probability reduction | Language model alignment · GCG adversarial attack; SmolLM-135M-Instruct and Llama-3.2-1B-Instruct | GCG attack success rate | Helped |
| Use the policy p_theta itself instead of the learned proposal q_xi (ablation) | RePULSe · More realistic experiments; reward-versus-bad-output probability frontier | reward-versus-bad-output probability frontier | Hurt |
| Use reward-thresholding target p_theta I[r < eta] instead of negative-temperature scaling (ablation) | RePULSe · More realistic experiments | performance | Hurt |
| Train the proposal with DPG instead of CTL (ablation) | RePULSe proposal learning · SmolLM setting | reward-versus-bad-output probability tradeoff | No clear effect |
| Train the proposal with DPG instead of CTL (ablation) | RePULSe proposal learning · Llama setting | reward-versus-bad-output probability tradeoff | Hurt |
| Use a REINFORCE loss on low-reward target samples instead of directly reducing their log probability (ablation) | RePULSe · Low-reward target sampling experiment | undesirable-output performance | Hurt |
| Train RePULSe for fewer policy updates under lower KL penalties (ablation) | RePULSe · Lower-KL-penalty settings | reward-versus-bad-output probability tradeoff | Mixed |
Surprising findings
- Using REINFORCE on samples from the low-reward target without a high baseline performs poorly, as it increases probability of bad-but-not-the-worst sequences.
- DPG as a proposal learner performed worse than CTL on the Llama setting due to a feedback loop when all proposal samples are identical.
Limitations
- Results depend on being close to convergence; with lower KL penalties or limited training, halving policy updates may hurt RePULSe.
- Small-scale models (135M, 1B) and short outputs limit evidence for frontier-scale models.
- Proposal q may need constant exploration; a better-trained base model gives little signal for learning q.
Experimental setup
Datasets: Adversarial prompts (cited source) OpenRLHF prompt collection (includes UltraFeedback)
Benchmarks: GCG adversarial attack success rate
Metrics: average return including KL penalty probability of bad outputs (reward below threshold) CVaR GCG attack success rate
Baselines: RLOO PPO reward-transformed REINFORCE p_theta-proposal ablation
Builds on: REINFORCE leave-one-out (RLOO) Contrastive Twist Learning Distributional Policy Gradient Greedy Coordinate Gradient
Closest papers by meaning
- Sequence to Sequence Reward Modeling: Improving RLHF by Language Feedback (AAAI 2025 · similarity 0.89)
- ReMax: A Simple, Effective, and Efficient Reinforcement Learning Method for Aligning Large Language Models (ICML 2024 · similarity 0.89)
- Towards Efficient Exact Optimization of Language Model Alignment (ICML 2024 · similarity 0.89)
- Theoretical Limits of Language Model Alignment (NeurIPS 2026 · similarity 0.89)
- RM-Bench: Benchmarking Reward Models of Language Models with Subtlety and Style (ICLR 2025 · similarity 0.89)
- Leftover Lunch: Advantage-based Offline Reinforcement Learning for Language Models (ICLR 2024 · similarity 0.89)
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