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Paper · arXiv

Understanding the Synergy between SFT, RLVR, and OPD in LLM Post-Training

Modern LLM post-training composes supervised fine-tuning (SFT), reinforcement learning with verifiable rewards (RLVR), and on-policy distillation (OPD) into multi-stage pipelines, yet these stages are typically designed and evaluated in isolation. We show that this composition is consequential: a stage that improves the current model can make the next stage less effective. Through controlled experiments with Qwen3 models on math and science reasoning, we first characterize OPD across nine student-teacher pairs spanning 2x to 53x parameter ratios and show that OPD effectiveness depends on student-teacher compatibility rather than teacher scale alone. The surrounding stages of OPD reshape t...

AuthorsEmre Can Acikgoz, Yang Li, Zeyu Leo Liu et al.
Primary categorycs.LG
Published25 September 2026
Last updated at source25 September 2026
cs.LGcs.AI
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