MAD-OPD: Breaking the Ceiling in On-Policy Distillation via Multi-Agent Debate

Fuente: arXiv
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Autores principales: Wang, Jianze, Liu, Ying, Chen, Jinlong, Hu, Xuchun, Zhang, Qilong, Cao, Yu, Wang, Jun, Yang, Hua, Xie, Yong, Chen, Qianglong
Formato: Preprint
Publicado: 2026
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author Wang, Jianze
Liu, Ying
Chen, Jinlong
Hu, Xuchun
Zhang, Qilong
Cao, Yu
Wang, Jun
Yang, Hua
Xie, Yong
Chen, Qianglong
author_facet Wang, Jianze
Liu, Ying
Chen, Jinlong
Hu, Xuchun
Zhang, Qilong
Cao, Yu
Wang, Jun
Yang, Hua
Xie, Yong
Chen, Qianglong
contents On-policy distillation (OPD) trains a student on its own trajectories under token-level teacher supervision, but existing methods are capped by a single-teacher capability ceiling: when the teacher errs, the student inherits the error. OPD also remains largely unexplored in agentic tasks, where per-step errors compound across long trajectories and destabilize training. We propose MAD-OPD (Multi-Agent Debate-driven On-Policy Distillation), which breaks this ceiling by recasting the distillation teacher as a deliberative collective of teachers that debate over the student's on-policy state; the debate produces an emergent collective intelligence that supplies token-level supervision, with each teacher's contribution weighted by its post-debate confidence. To extend OPD to agentic tasks, we also introduce On-Policy Agentic Distillation (OPAD), which adds step-level sampling to stabilize training under multi-step error compounding. We additionally derive a task-adaptive divergence principle, selecting JSD (Jensen-Shannon divergence) for agentic stability and reverse KL (Kullback-Leibler) divergence for code generation, and verify it both theoretically and empirically. Across six teacher-student configurations (Qwen3 and Qwen3.5; 1.7B-14B students, 8B-32B teachers) and five agentic and code benchmarks, MAD-OPD ranks first across all six configurations; on the 14B+8B$\to$4B setting it lifts the agentic average by $+2.4\%$ and the code average by $+3.7\%$ over the stronger single-teacher OPD.
format Preprint
id arxiv_https___arxiv_org_abs_2605_01347
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle MAD-OPD: Breaking the Ceiling in On-Policy Distillation via Multi-Agent Debate
Wang, Jianze
Liu, Ying
Chen, Jinlong
Hu, Xuchun
Zhang, Qilong
Cao, Yu
Wang, Jun
Yang, Hua
Xie, Yong
Chen, Qianglong
Computation and Language
Artificial Intelligence
Machine Learning
On-policy distillation (OPD) trains a student on its own trajectories under token-level teacher supervision, but existing methods are capped by a single-teacher capability ceiling: when the teacher errs, the student inherits the error. OPD also remains largely unexplored in agentic tasks, where per-step errors compound across long trajectories and destabilize training. We propose MAD-OPD (Multi-Agent Debate-driven On-Policy Distillation), which breaks this ceiling by recasting the distillation teacher as a deliberative collective of teachers that debate over the student's on-policy state; the debate produces an emergent collective intelligence that supplies token-level supervision, with each teacher's contribution weighted by its post-debate confidence. To extend OPD to agentic tasks, we also introduce On-Policy Agentic Distillation (OPAD), which adds step-level sampling to stabilize training under multi-step error compounding. We additionally derive a task-adaptive divergence principle, selecting JSD (Jensen-Shannon divergence) for agentic stability and reverse KL (Kullback-Leibler) divergence for code generation, and verify it both theoretically and empirically. Across six teacher-student configurations (Qwen3 and Qwen3.5; 1.7B-14B students, 8B-32B teachers) and five agentic and code benchmarks, MAD-OPD ranks first across all six configurations; on the 14B+8B$\to$4B setting it lifts the agentic average by $+2.4\%$ and the code average by $+3.7\%$ over the stronger single-teacher OPD.
title MAD-OPD: Breaking the Ceiling in On-Policy Distillation via Multi-Agent Debate
topic Computation and Language
Artificial Intelligence
Machine Learning
url https://arxiv.org/abs/2605.01347