Research map / Large language models / Alignment and preferences
Bounded Rationality for LLMs: Satisficing Alignment at Inference-Time
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Proposes SITAlign, an inference-time constrained decoding method that maximizes a primary reward while enforcing threshold constraints on secondary rewards via Lagrangian duality and Transfer Q* estimates.
Problem
Multi-objective LLM alignment usually maximizes a weighted sum of rewards, which ignores that humans satisfice: they maximize a primary objective while keeping other attributes above acceptable thresholds. Existing inference-time methods also need weights or finetuning.
Approach
Cast inference-time decoding as a constrained problem: maximize the primary reward's Q-value under KL regularization, subject to expected secondary-reward Q-values exceeding thresholds. Solve it via Lagrangian duality with a closed-form, quadratic-approximated dual estimate and Transfer Q* as the Q-function estimate, yielding a token-level reweighting of the baseline policy.
Key results
- On PKU-SafeRLHF (helpfulness primary, harmlessness threshold), SITAlign improves helpfulness GPT-4 win-tie rate by 22.3% over MOD while meeting the 50% harmlessness threshold.
- On the Helpfulness-Humor setup, SITAlign improves the win-tie rate by about 10% over the state-of-the-art MOD baseline.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use SITAlign instead of MOD to maximize helpfulness while meeting the harmlessness threshold | Zephyr-7B-β · PKU-SafeRLHF | helpfulness GPT-4 win-tie rate: 22.3% | Helped |
| Use SITAlign instead of MOD while meeting the humor threshold | MPT-7B-Chat · Anthropic-HH | GPT-4 win-tie rate: approximately $10\%$ | Helped |
| Use SITAlign instead of MOD to maximize summary quality while meeting the faithfulness threshold | Minotaur-7B · Summarize-from-Feedback | summary-quality GPT-4 win-tie rate | Helped |
| Use MOD instead of SITAlign to prioritize the target reward | SITAlign · All three evaluation setups | target-reward GPT-4 win-tie rate | Hurt |
| Increase the threshold β (ablation) | SITAlign · Evaluation-1 and Evaluation-2 | GPT-4 win-tie rate | Mixed |
| Raise the target-reward threshold beyond the point where its win-rate stabilizes (ablation) | SITAlign · Evaluation-1 and Evaluation-2 | target-reward GPT-4 win-tie rate | No clear effect |
Surprising findings
- Responses with reward above about -12 were judged harmless by GPT-4 in roughly 90% of cases, supporting the idea that thresholds suffice instead of maximizing the target reward.
- MOD achieves higher target-reward win rates but performs worse on the baseline reward, suggesting maximizing all objectives is not always best.
Limitations
- The suboptimality bounds rely on assumptions such as known optimal dual variables, and the dual is approximated by a quadratic approximation.
- Evaluation relies on GPT-4 win-tie rates as a proxy for human judgment, with no human evaluation reported.
- Threshold selection requires tuning (e.g., -12 for harmlessness, -0.5 for humor) and is dataset-specific.
Experimental setup
Datasets: PKU-SafeRLHF-30K Anthropic-HH Summarize-from-Feedback
Benchmarks: PKU-SafeRLHF test prompts Anthropic-HH Summarize-from-Feedback
Metrics: GPT-4 win-tie rate on baseline reward GPT-4 win-tie rate on target reward
Baselines: MOD Best-of-K Zephyr-7B-beta baseline decoding helpful policy harmless policy
Builds on: Transfer Q* controlled decoding multi-objective decoding (MOD) KL-regularized RLHF
Closest papers by meaning
- On-the-fly Preference Alignment via Principle-Guided Decoding (ICLR 2025 · similarity 0.90)
- Test-Time Preference Optimization: On-the-Fly Alignment via Iterative Textual Feedback (ICML 2025 · similarity 0.90)
- Understanding the Learning Dynamics of Alignment with Human Feedback (ICML 2024 · similarity 0.89)
- Panacea: Pareto Alignment via Preference Adaptation for LLMs (NeurIPS 2024 · similarity 0.89)
- Linear Alignment: A Closed-form Solution for Aligning Human Preferences without Tuning and Feedback (ICML 2024 · similarity 0.89)
- Stackelberg Self-Annotation: A Robust Approach to Data-Efficient LLM Alignment (NeurIPS 2025 · similarity 0.89)
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