Co-Evolving Policy Distillation
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Abstract (arXiv)
RLVR and OPD have become standard paradigms for post-training. We provide a unified analysis of these two paradigms in consolidating multiple expert capabilities into a single model, identifying capability loss in different ways: mixed RLVR suffers from inter-capability divergence cost, while the pipeline of first training experts and then performing OPD, though avoiding divergence, fails to fully absorb teacher capabilities due to large behavioral pattern gaps between teacher and student. We propose Co-Evolving Policy Distillation (CoPD), which encourages parallel training of experts and introduces OPD during each expert's ongoing RLVR training rather than after complete expert training, with experts serving as mutual teachers (making OPD bidirectional) to co-evolve. This enables more consistent behavioral patterns among experts while maintaining sufficient complementary knowledge throughout. Experiments validate that CoPD achieves all-in-one integration of text, image, and video reasoning capabilities, significantly outperforming strong baselines such as mixed RLVR and MOPD, and even surpassing domain-specific experts. The model parallel training pattern offered by CoPD may inspire a novel training scaling paradigm.
Key facts. Cited by 5 papers in the map (data through 14 Oct 2026). Builds on 31 of its 38 references that are in the map. First posted on arXiv 29 Apr 2026.
Builds on
31 of 38 references.
References · 31
- 2017Proximal Policy Optimization Algorithmscited by 15,215
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- 2022Solving Quantitative Reasoning Problems with Language Modelscited by 1,392
- 2025Understanding R1-Zero-Like Training: A Critical Perspectivecited by 1,345
- 2023MVBench: A Comprehensive Multi-modal Video Understanding Benchmarkcited by 1,109
- 2026DeepSeek-V4: Towards Highly Efficient Million-Token Context Intelligencecited by 1,040
- 2023On-Policy Distillation of Language Models: Learning from Self-Generated Mistakescited by 939
- 2025Vision-R1: Incentivizing Reasoning Capability in Multimodal Large Language Modelscited by 665
- 2024MathVerse: Does Your Multi-modal LLM Truly See the Diagrams in Visual Math Problems?cited by 586
- 2024Measuring Multimodal Mathematical Reasoning with MATH-Vision Datasetcited by 526
19 more
- 2024MMMU-Pro: A More Robust Multi-discipline Multimodal Understanding Benchmarkcited by 512
- 2025Video-R1: Reinforcing Video Reasoning in MLLMscited by 484
- 2026Self-Distilled Reasoner: On-Policy Self-Distillation for Large Language Modelscited by 455
- 2015Policy Distillationcited by 440
- 2026Rethinking On-Policy Distillation of Large Language Models: Phenomenology, Mechanism, and Recipecited by 299
- 2025MathArena: Evaluating LLMs on Uncontaminated Math Competitionscited by 297
- 2024We-Math: Does Your Large Multimodal Model Achieve Human-like Mathematical Reasoning?cited by 286
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- 2025Time-R1: Post-Training Large Vision Language Model for Temporal Video Groundingcited by 146
- 2025Video-Holmes: Can MLLM Think Like Holmes for Complex Video Reasoning?cited by 118
- 2025S-GRPO: Early Exit via Reinforcement Learning in Reasoning Modelscited by 87
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- 2025OneThinker: All-in-one Reasoning Model for Image and Videocited by 56
- 2025R1-ShareVL: Incentivizing Reasoning Capability of Multimodal Large Language Models via Share-GRPOcited by 52
- 2025Scaling Laws for Optimal Data Mixturescited by 52
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Built on by
Citing papers per year: 2026: 5.
5 papers.
- 2026Uni-OPD: Unifying On-Policy Distillation with a Dual-Perspective Recipecited by 49
- 2026D-OPSD: On-Policy Self-Distillation for Continuously Tuning Step-Distilled Diffusion Modelscited by 22
- 2026Consolidating RLVR Capabilities Across Domains: A Deep Dive into Fusion Paradigmscited by 4
- 2026The Physics of Multi-Turn Long-Horizon Planning: From Pre-training to Post-training via Single- and Multi-Teacher On-Policy Agentic Distillationcited by 3
- 2026Towards Unbiased On-Policy Distillation for Block Diffusion Language Modelscited by 0
- 2026Towards Unbiased On-Policy Distillation for Block Diffusion Language Models4 Oct 2026
- 2026Consolidating RLVR Capabilities Across Domains: A Deep Dive into Fusion Paradigms27 Aug 2026
- 2026The Physics of Multi-Turn Long-Horizon Planning: From Pre-training to Post-training via Single- and Multi-Teacher On-Policy Agentic Distillation27 Jul 2026
- 2026D-OPSD: On-Policy Self-Distillation for Continuously Tuning Step-Distilled Diffusion Models6 May 2026
- 2026Uni-OPD: Unifying On-Policy Distillation with a Dual-Perspective Recipe5 May 2026
Similar, not cited
Close in wording, no citation either way
- 2026Rethinking Self-Distillation for Multi-Teacher Capability Merging
- 2026Understanding the Synergy between SFT, RLVR, and OPD in LLM Post-Training
- 2026Open-MOPD: Diagnosing and Fixing Capability Imbalance in Multi-Teacher On-Policy Distillation
- 2026Slow-Fast Multi-Teacher On-Policy Distillation for Capability Preservation
- 2026CapField-OPD: Learning Continuous Capability Fields via Joint-Anchored Multi-Teacher On-Policy Distillation for Flow Models
- 2026Dense Supervision, Sparse Updates: On the Sparsity and Geometry of On-Policy Distillation
- 2026MOPD-Router: Rethinking Teacher Routing in Multi-Teacher On-Policy Distillation
- 2026Teach Me After You Learn It: Lookahead Self-Distillation for RLVR