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Reducing the Probability of Undesirable Outputs in Language Models Using Probabilistic Inference

NeurIPS 2025 · Reinforcement learning › RL from feedback · approach: Theory of RLHF · 0 citations (OpenAlex)

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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

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add the RePULSe low-reward sampling and probability-reduction lossDistilGPT2 alignment · Toy experiment (single prompt)probability of bad outputsHelped
Add the RePULSe low-reward sampling and probability-reduction lossDistilGPT2 alignment · Toy experiment (single prompt)average rewardNo clear effect
Add learned proposal sampling and low-reward probability reductionSmolLM-135M-Instruct alignment · Held-out prompts; reward threshold -5reward-versus-bad-output probability frontierHelped
Add learned proposal sampling and low-reward probability reductionLlama-3.2-1B-Instruct alignment · Held-out prompts; reward threshold -7reward-versus-bad-output probability frontierHelped
Add learned proposal sampling and low-reward probability reductionLanguage model alignment · GCG adversarial attack; SmolLM-135M-Instruct and Llama-3.2-1B-InstructGCG attack success rateHelped
Use the policy p_theta itself instead of the learned proposal q_xi (ablation)RePULSe · More realistic experiments; reward-versus-bad-output probability frontierreward-versus-bad-output probability frontierHurt
Use reward-thresholding target p_theta I[r < eta] instead of negative-temperature scaling (ablation)RePULSe · More realistic experimentsperformanceHurt
Train the proposal with DPG instead of CTL (ablation)RePULSe proposal learning · SmolLM settingreward-versus-bad-output probability tradeoffNo clear effect
Train the proposal with DPG instead of CTL (ablation)RePULSe proposal learning · Llama settingreward-versus-bad-output probability tradeoffHurt
Use a REINFORCE loss on low-reward target samples instead of directly reducing their log probability (ablation)RePULSe · Low-reward target sampling experimentundesirable-output performanceHurt
Train RePULSe for fewer policy updates under lower KL penalties (ablation)RePULSe · Lower-KL-penalty settingsreward-versus-bad-output probability tradeoffMixed

Surprising findings

Limitations

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

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