VHD-Play paper: generate solved, verifiable agentic environments and train LLM agents
arXiv:2609.27321v1 presents VHD-Play, a pipeline that samples and solves mathematical mechanisms first and then renders them as corpus-grounded, stateful environments with inherited executable dynamics and trajectory scoring; the authors say it produced 3,300 diverse agentic environments at a cost of a few cents each. Training Qwen3.6-35B-A3B on three families reportedly raised its mean agentic score from 0.204 to 0.815 on a five-family diagnostic, generalized to held-out and eight unseen mechanism families, and improved external benchmarks (on E-Commerce Bench the checkpoint completed every run without bankruptcy and exceeded Qwen3.7-Max).