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Block-R1: Rethinking the Role of Block Size in Multi-domain Reinforcement Learning for Diffusion Large Language Models
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Proposes Block-R1, a benchmark and sample-level block-size-conditioned RL post-training method that assigns each training sample its best-improved block size to mitigate domain block size conflict in multi-domain RL for diffusion LLMs.
Problem
Multi-domain RL post-training of diffusion LLMs with a single fixed block size causes domain block size conflict, so joint training underperforms single-domain RL and can fall below the base model.
Approach
Treat block size as a sample-level training hyperparameter: pick each sample's best-improved block size via teacher-student reward gaps, store it in a 41K dataset, and condition rollouts on it during GRPO-style RL; quantify conflict with a Wasserstein-based Block Size Conflict Score.
Key results
- On LLaDA-8B-Instruct, Block-R1 raises multi-domain RL Countdown accuracy from 30.08 (Vanilla) to 62.11 and KK from 30.14 to 50.14.
- Block-R1 improves GSM8K from 57.24 to 80.74 under multi-domain RL with the same backbone.
- Across six backbones (including LLaDA2.0-16B), Block-R1 gives gains on all reported benchmarks, e.g. LLaDA2.0-16B GSM8K 70.81 to 85.52.
Surprising findings
- Vanilla multi-domain RL with a fixed block size can perform worse than the base model without RL on several benchmarks.
- Applying Block-R1 to single-domain RL also yields gains, e.g. StableDRL on KK improves by +10.00 at 256 length.
Limitations
- Block-size selection relies on teacher-student reward gaps from a specific 16B teacher and 8B base student, which may not transfer to other choices.
- Sample-level block sizes are fixed per sample and do not adapt during decoding; test-time gap to oracle remains.
Experimental setup
Datasets: GSM8K MATH500 Countdown KodCode Sudoku KK HellaSwag MMLU ARC-E MMLU-Pro ARC-C HumanEval
Benchmarks: Countdown GSM8K MATH500 HumanEval MBPP KodCode Sudoku KK HellaSwag MMLU ARC-E MMLU-Pro
Metrics: zero-shot pass@1 accuracy BCS (Wasserstein distance)
Baselines: Diffu-GRPO d1 wd1 GDPO MDPO ESPO StableDRL b1 AdaBlock-dLLM SPG
Builds on: GRPO d1 StableDRL b1
Closest papers by meaning
- Break the Block: Dynamic-size Reasoning Blocks for Diffusion Large Language Models via Monotonic Entropy Descent with Reinforcement Learning (ICML 2026 · similarity 0.91)
- d1: Scaling Reasoning in Diffusion Large Language Models via Reinforcement Learning (NeurIPS 2025 · similarity 0.91)
- Revisiting Reinforcement Learning for LLM Reasoning from A Cross-Domain Perspective (NeurIPS 2025 · similarity 0.90)
- On Predictability of Reinforcement Learning Dynamics for Large Language Models (ICLR 2026 · similarity 0.88)
- Reshaping Reasoning in LLMs: A Theoretical Analysis of RL Training Dynamics through Pattern Selection (ICLR 2026 · similarity 0.88)
- ProRL: Prolonged Reinforcement Learning Expands Reasoning Boundaries in Large Language Models (NeurIPS 2025 · similarity 0.88)
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