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Objective Shaping with Hard Negatives: Windowed Partial AUC Optimization for RL-based LLM Recommenders
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Shows that GRPO with binary rewards optimizes AUC, beam-search negatives shift it toward one-way partial AUC, and proposes windowed partial AUC (WPAUC) with a soft threshold-adjusted reweighting (TAWin) for RL-trained LLM recommenders.
Problem
RL training of LLM-based recommenders benefits from beam-search negatives over random negatives, but the mechanism behind this and how it aligns with Top-K recommendation metrics is not well understood.
Approach
Views GRPO with binary reward as pairwise AUC maximization, shows hard beam-search negatives induce OPAUC, and generalizes to a windowed partial AUC over an FPR interval [alpha, alpha+d]; TAWin implements the window via a soft threshold-adjusted Top-K reweighting of negative advantages.
Key results
- TAWin achieves the best R@1, R@3, and N@3 on all four datasets, e.g., Toys R@1 0.0471 vs. 0.0411 for ReRe and 0.0371 for D3.
- Reports average relative improvements of 84.9%, 52.0%, and 5.5% over traditional, generative, and LLM-based recommenders respectively.
- TAWin improves over ReRe across Qwen2.5-3B/7B and Llama-3.2-1B backbones and under GSPO and DAPO optimizers.
Surprising findings
- Random-sampling GRPO is shown to be equivalent to AUC maximization, which the authors argue is misaligned with Top-K metrics.
Limitations
- Theoretical equivalences rely on idealized assumptions (population normalization of advantages, infinite beam width limit for beam search equivalence).
- Experiments are limited to a 0.5B base model in the main setting and to small Amazon and Yelp datasets.
Experimental setup
Datasets: Amazon Toys and Games Amazon Industrial and Scientific Amazon Office Products Yelp
Benchmarks: Amazon Toys Amazon Industrial Amazon Office Yelp
Metrics: Recall@K NDCG@K
Baselines: GRU4Rec Caser SASRec TIGER LC-Rec MiniOneRec BigRec D3 S-DPO ReRe
Builds on: GRPO one-way partial AUC soft top-k operator
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