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Progress-Aware Distillation for Mitigating Stagnation in Small Language Model Agents
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Proposes Progress-Aware Distillation (ProD), which penalizes stagnant student trajectories via an adaptive margin derived from the student–teacher stagnation gap, added to SFT distillation of small language model agents.
Problem
SFT-distilled small language model agents suffer progress stagnation, getting trapped in unproductive reasoning-action loops during long multi-turn tool-use trajectories.
Approach
Generate student trajectories, measure per-turn stagnation (lexical ROUGE-L, semantic embedding similarity, or LLM judge), and use the teacher–student stagnation gap plus answer correctness as an instance-dependent margin in a SimPO-style loss combined with the SFT loss; optionally iterate.
Key results
- ProD improves in-domain accuracy by 4.7% on average over SFT distillation across 8 SLMs (0.6B-8B) and out-of-domain by 4.9%.
- On HotpotQA, Qwen3-4B with ProD reaches 70.8% accuracy versus 66.6% for SFT and 71.0% for the GPT-4.1 teacher.
- ProD reduces average interaction turns by 11.6% and tokens by 20.7% relative to SFT.
Surprising findings
- Full-parameter fine-tuning does not alleviate stagnation and for Qwen models can make it more severe than LoRA.
- DPO on-policy underperforms SFT on Qwen3-4B average accuracy (74.4 vs 74.2 is slightly above, but DPO is below ProD); repetition penalty at higher strengths degrades accuracy.
Limitations
- Stagnation metrics are heuristic and the gap depends on teacher behavior; absolute scores vary across tasks.
- Some model families (Llama3.2-1B/3B, Gemma) retain a noticeable stagnation gap after one ProD iteration.
- Experiments are limited to MATH, HotpotQA, Omni-MATH and 2WikiMultiHopQA with a single teacher (GPT-4.1).
Experimental setup
Datasets: MATH HotpotQA
Benchmarks: MATH HotpotQA Omni-MATH 2WikiMultiHopQA
Metrics: accuracy turn-level lexical stagnation (ROUGE-L) semantic stagnation judgment stagnation average turns average tokens
Baselines: SFT distillation Repetition Penalty Concise SFT DPO SimPO GPT-4.1 teacher
Builds on: SimPO CodeAct agent distillation (Kang et al. 2025) LoRA ReAct
Closest papers by meaning
- Distilling LLM Agent into Small Models with Retrieval and Code Tools (NeurIPS 2025 · similarity 0.91)
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- Skill-SD: Skill-Conditioned Self-Distillation for Multi-turn LLM Agents (NeurIPS 2026 · similarity 0.87)
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