Research map / Large language models / Alignment and preferences
Distributionally Robust Listwise Preference Optimization
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Proposes a pointwise total-variation robust Plackett-Luce listwise preference objective whose worst-case ranking is found by ascending-score sorting, with offline convergence and online weak-convexity guarantees and experiments on UltraFeedback with Qwen3 models.
Problem
Preference optimization for LLM alignment with listwise rankings is sensitive to ranking-label noise (annotator inconsistency, near-ties, reward-model errors), which existing robust DPO methods, focused on pairwise data or prompt/pair distributions, do not address.
Approach
Robustify the ranking label conditional on a realized candidate list with a pointwise TV ambiguity set; the robust PL loss decomposes exactly into (1-rho) nominal PL plus rho times a worst-case PL loss, and the worst-case ranking is the ascending-score sort, giving O(K log K) evaluation.
Key results
- Offline, Qwen3-8B under top-rank corruption at epsilon=1.0: Robust PL (rho=0.05) reaches Kendall tau 0.146 vs 0.103 for Nominal PL and 0.039 for Nominal BT.
- Online Qwen3-8B: robust K=4 (rho=0.05) achieves +610.7 Delta Reward and 28.9% GPT-4 win vs chosen, versus +467.0 and 23.8% for non-robust K=4.
- Clean-label offline performance is slightly reduced: Qwen3-8B Robust PL (rho=0.05) 0.347 vs Nominal PL 0.362 Kendall tau.
Surprising findings
- Non-robust listwise K=4 does not consistently improve over binary K=2 in online alignment, suggesting larger lists add reward-model ranking noise.
- Robust PL with rho=0.02 on Qwen3-0.6B clean-label offline performance is slightly below nominal, and TV-DR-DPO/KLDPO underperform nominal BT under some noise conditions.
Limitations
- Robustness radius rho must be tuned; over-regularization at larger rho reduces performance.
- Theory assumes log-linear policy class and bounded features, which is a simplification for LLMs.
- Experiments are limited to UltraFeedback with K=4 and Qwen models up to 8B.
Experimental setup
Datasets: UltraFeedback
Benchmarks: UltraFeedback clean held-out rankings U10 held-out evaluation set
Metrics: Kendall's tau reward-model gain (Delta Reward) reward-model win rate vs SFT GPT-4 win rate vs chosen Top-1 Pairwise agreement
Baselines: Nominal BT (DPO) TV-DR-DPO KLDPO Nominal PL SAIL (binary, K=2)
Builds on: DPO Plackett-Luce model SAIL TV-DR-DPO KLDPO
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