Implicit Hierarchical GRPO: Decoupling Tool Invocation from Execution for Tool-Integrated Mathematical Reasoning

In three linesNew IH-GRPO algorithm decouples tool invocation from execution to enhance LLM mathematical reasoning. Achieves 1.87–2.53% improvements on mathematical benchmarks with Qwen3 (1.7B–8B). Code released.

Summary generated by Claude — human-verified