🤖 AI Summary
Vision-language models (VLMs) struggle to simultaneously achieve deep reasoning, strong generalization, and computational efficiency in visual mathematical reasoning.
Method: This paper proposes RLVR—a novel end-to-end framework for verifiable synthetic data generation and reinforcement learning–based training. RLVR introduces a three-stage guarantee mechanism: distribution-aware seed selection, answer-preserving challenging augmentation, and formal-verification–guided dual evaluation of correctness and difficulty. Integrated with semantic-constraint enhancement and verifiable reward modeling, RLVR automatically generates over 3.3K high-quality, challenging problems on MMK12.
Results: Fine-tuning VLMs with RLVR-generated data yields significant improvements over state-of-the-art methods across five cross-domain visual mathematical reasoning benchmarks—especially on the most difficult samples—demonstrating a strong coupling between synthetic data quality and enhanced complex reasoning capability.
📝 Abstract
Vision-language models (VLMs) trained via reinforcement learning with verifiable reward (RLVR) have shown notable progress in scaling test-time compute effectively. In this work, we investigate how synthesized RL data can further improve RLVR. To this end, we propose extbf{SynthRL}-a scalable and guaranteed pipeline for automatic data scaling in reasoning-oriented RL training. SynthRL comprises three key stages: (1) selecting seed questions with appropriate distribution, (2) augmenting them into more challenging variants while preserving the original answers, and (3) a guaranteed verification stage that ensures near-perfect correctness and difficulty enhancement. Our empirical experiments demonstrate SynthRL's scalability and effectiveness. When applied to the MMK12 dataset, SynthRL synthesizes over 3.3K additional verifiable, challenging questions from approximately 8K seed samples. Models trained with our synthesized data achieve consistent gains across five out-of-domain visual math reasoning benchmarks, with a significant improvement over baseline models trained on seed data alone. Notably, detailed analysis reveals that the gains are more pronounced on the most challenging evaluation samples, highlighting SynthRL's effectiveness in eliciting deeper and more complex reasoning patterns.