Title: Harder Is Better: Boosting Mathematical Reasoning via Difficulty-Aware GRPO and Multi-Aspect Question Reformulation
Primary area: foundation or frontier models, including LLMs
Keywords: Mathematical Reasoning, Group Relative Policy Optimization, Question Reformulation

Abstract: Reinforcement Learning with Verifiable Rewards (RLVR) offers a robust mechanism for enhancing the mathematical reasoning capabilities of large models.
However, we identify that harder questions lack sufficient attention in existing methods from both algorithmic and data perspectives.
Algorithmically, widely used Group Relative Policy Optimization (GRPO) and its variants exhibit a critical limitation: their advantage estimation introduces an implicit bias where the magnitude of policy updates is lower for harder questions.
From a data-centric viewpoint, existing augmentation approaches primarily rephrase questions to enhance diversity, without systematically increasing their intrinsic difficulty.
To address these issues, we propose a two-dual MathForge framework to improve mathematical reasoning by targeting harder questions from both perspectives, which comprises a Difficulty-Aware Group Policy Optimization (DGPO) algorithm and a Multi-Aspect Question Reformulation (MQR) strategy.
Specifically, DGPO first rectifies the implicit bias in GRPO via difficulty-balanced group advantage estimation and further prioritizes more challenging questions by difficulty-aware question-level weighting.
Meanwhile, MQR reformulates questions across multiple aspects to increase their difficulty while maintaining the original gold answer.
Overall, MathForge creates a synergistic loop: MQR expands the data frontier, and DGPO efficiently masters the augmented data.
Extensive experiments demonstrate that MathForge markedly outperforms existing methods on various mathematical reasoning tasks.
The code and augmented data will all be available.

TL;DR: We propose a MathForge framework to improve mathematical reasoning by targeting harder questions from both algorithmic and data perspectives, including Difficulty-Aware Group Policy Optimization (DGPO) and Multi-Aspect Question Reformulation (MQR).