Establish the generality of the accuracy--consistency--coverage trade-off and PTGS beyond text-only LLMs

Establish whether the accuracy-consistency-coverage trilemma observed for text-based large language model agents persists in post-training beyond pure large language models, including multimodal large language models and vision-language-action models, and determine whether the benefits of posterior-tempered group sampling transfer to those settings.

Background

The paper studies text-based LLM agents and proposes posterior-tempered group sampling (PTGS), which adapts rollout temperature to estimated prompt difficulty during reinforcement-learning training. In the reported experiments, PTGS improves single-shot accuracy and repeated-sampling coverage while reducing the Sharpening Tax, thereby mitigating the tension among accuracy, consistency, and solution coverage.

The scope of the experiments does not include multimodal LLMs or vision-language-action models. The authors therefore explicitly identify as unresolved whether the same trilemma applies in these broader post-training settings and whether PTGS retains its benefits when agents process modalities beyond text or interact through embodied actions.

References

Whether the same accuracy-consistency-coverage trilemma holds and whether the benefits of PTGS carry over to post-training beyond pure LLMs, including multimodal LLMs and vision-language-action models, remains an open question~\citep{sun2024aligning,kwok2025robomonkey,shen2026rlvr,jeddi2026does,li2026simplevla}.

— Sharpening Tax in Post-Training  (2610.01509 - Oh et al., 1 Oct 2026) in Section Limitations and Future Work