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Not Only Where, But When: Temporal Scheduling for RLVR
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Proposes temporally scheduling RLVR credit-allocation criteria (starting with targeted tokens and gradually expanding to all tokens), instantiated with trajectory-percentile suffix scheduling, which improves Qwen3-4B/8B reasoning and preserves policy entropy.
Problem
Existing RLVR credit allocation methods (token-level advantage reweighting and sparse token optimization) use stagnant allocation criteria throughout training, limiting resilient policy evolution and performance ceiling.
Approach
Introduce a temporal dimension: schedule the credit allocation criterion over training so it starts by emphasizing targeted tokens and gradually attenuates toward general full-token optimization; trajectory percentile (suffix-first, expanding to earlier tokens) serves as a simple criterion that works well with this schedule.
Key results
- TP-Schedule on Qwen3-4B improves over vanilla GRPO by 2.2 points on math benchmarks (65.3 to 67.5 avg) and 2.7 points on general reasoning (64.4 to 67.1 avg).
- On Qwen3-8B, TP-Schedule improves GRPO average from 68.0 to 68.8 on math and 69.5 to 70.5 on out-of-distribution benchmarks.
- Temporal scheduling applied to Forking Tokens raises math average from 64.8 to 66.2 on Qwen3-4B; scheduling preserves higher policy entropy than entropy-based advantage reweighting.
Surprising findings
- Prefix-first (earlier-to-later) scheduling yields unstable optimization, while suffix-first scheduling works well.
- Randomly selecting tokens for scheduling significantly corrupts policy gradients.
Limitations
- Gains are modest (around 1-3 points) and evaluated on a limited set of models and benchmarks.
- Scheduling hyperparameters (temporal range, schedule shape) are tuned with sensitivity ablations on Qwen3-4B only.
Experimental setup
Datasets: OpenMathReasoning DeepMath-103K
Benchmarks: AIME24 AIME25 HMMT25 Minerva OlympiadBench WinoGrande GPQA-Diamond MuSR
Metrics: Avg@16 Avg@4 accuracy
Baselines: GRPO GSPO Entropy Adv. Forking Tok.
Builds on: GRPO GSPO Entropy-based advantage reweighting Forking tokens VERL
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