Black-Box On-Policy Distillation of Large Language Models
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Abstract (arXiv)
Black-box distillation creates student large language models (LLMs) by learning from a proprietary teacher model's text outputs alone, without access to its internal logits or parameters. In this work, we introduce Generative Adversarial Distillation (GAD), which enables on-policy and black-box distillation. GAD frames the student LLM as a generator and trains a discriminator to distinguish its responses from the teacher LLM's, creating a minimax game. The discriminator acts as an on-policy reward model that co-evolves with the student, providing stable, adaptive feedback. Experimental results show that GAD consistently surpasses the commonly used sequence-level knowledge distillation. In particular, Qwen2.5-14B-Instruct (student) trained with GAD becomes comparable to its teacher, GPT-5-Chat, on the LMSYS-Chat automatic evaluation. The results establish GAD as a promising and effective paradigm for black-box LLM distillation.
Key facts. Cited by 53 papers in the map (data through 7 Oct 2026). Builds on 30 of its 40 references that are in the map. First posted on arXiv 13 Nov 2025.
Builds on
30 of 40 references.
References · 30
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- 2024The Llama 3 Herd of Modelscited by 14,192
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18 more
- 2016Generative Adversarial Imitation Learningcited by 1,576
- 2020MiniLM: Deep Self-Attention Distillation for Task-Agnostic Compression of Pre-Trained Transformerscited by 1,414
- 2025s1: Simple test-time scalingcited by 1,311
- 2019TinyBERT: Distilling BERT for Natural Language Understandingcited by 1,153
- 2023On-Policy Distillation of Language Models: Learning from Self-Generated Mistakescited by 840
- 2016Sequence-Level Knowledge Distillationcited by 761
- 2023Instruction Tuning with GPT-4cited by 676
- 2025SFT Memorizes, RL Generalizes: A Comparative Study of Foundation Model Post-trainingcited by 655
- 2019Patient Knowledge Distillation for BERT Model Compressioncited by 502
- 2025LIMO: Less is More for Reasoningcited by 488
- 2023LMSYS-Chat-1M: A Large-Scale Real-World LLM Conversation Datasetcited by 449
- 2016SeqGAN: Sequence Generative Adversarial Nets with Policy Gradientcited by 375
- 2025OpenThoughts: Data Recipes for Reasoning Modelscited by 287
- 2020MiniLMv2: Multi-Head Self-Attention Relation Distillation for Compressing Pretrained Transformerscited by 240
- 2025On the Generalization of SFT: A Reinforcement Learning Perspective with Reward Rectificationcited by 121
- 2020MixKD: Towards Efficient Distillation of Large-scale Language Modelscited by 65
- 2020LightPAFF: A Two-Stage Distillation Framework for Pre-training and Fine-tuningcited by 25
- 2025Learning Reasoning Rewards from Expert Demonstrations with Inverse Reinforcement Learningcited by 1
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Citing papers per year: 2026: 53.
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- 2026On-Policy Context Distillation for Language Modelscited by 161
- 2026Learning beyond Teacher: Generalized On-Policy Distillation with Reward Extrapolationcited by 157
- 2026Revisiting On-Policy Distillation: Empirical Failure Modes and Simple Fixescited by 122
- 2026Uni-OPD: Unifying On-Policy Distillation with a Dual-Perspective Recipecited by 43
- 2026RLCSD: Reinforcement Learning with Contrastive On-Policy Self-Distillationcited by 33
- 2026Lightning OPD: Efficient Post-Training for Large Reasoning Models with Offline On-Policy Distillationcited by 28
- 2026Demystifying OPD: Length Inflation and Stabilization Strategies for Large Language Modelscited by 24
- 2026SOD: Step-wise On-policy Distillation for Small Language Model Agentscited by 17
- 2026OGLS-SD: On-Policy Self-Distillation with Outcome-Guided Logit Steering for LLM Reasoningcited by 14
- 2026Prefix Teach, Suffix Fade: Local Teachability Collapse in Strong-to-Weak On-Policy Distillationcited by 13
- 2026Multi-Turn On-Policy Distillation with Prefix Replaycited by 12
- 2026Rubric-based On-policy Distillationcited by 11
38 more
- 2026SimCT: Recovering Lost Supervision for Cross-Tokenizer On-Policy Distillationcited by 11
- 2026Pass the Baton: Trajectory-Relayed On-Policy Distillationcited by 10
- 2026CORD: Bridging the Audio-Text Reasoning Gap via Weighted On-policy Cross-modal Distillationcited by 9
- 2026OVD: On-policy Verbal Distillationcited by 9
- 2026Beyond GRPO and On-Policy Distillation: An Empirical Sparse-to-Dense Reward Principle for Language-Model Post-Trainingcited by 9
- 2026Beyond SFT-to-RL: Pre-alignment via Black-Box On-Policy Distillation for Multimodal RLcited by 8
- 2026Multi-Rollout On-Policy Distillation via Peer Successes and Failurescited by 8
- 2026Stealing Reasoning Traces from Proprietary LLM APIscited by 8
- 2026Tailoring Teaching to Aptitude: Direction-Adaptive Self-Distillation for LLM Reasoningcited by 7
- 2026SPOT: Sparse Probing and Outcome Calibration for On-Policy Distillationcited by 7
- 2026SODA: Semi On-Policy Black-Box Distillation for Large Language Modelscited by 6
- 2026Large Language Model Post-Training: A Unified View of Off-Policy and On-Policy Learningcited by 5
- 2026OmniOPD: Logit-Free On-Policy Distillation via Speculative Verificationcited by 5
- 2026HeaPA: Difficulty-Aware Heap Sampling and On-Policy Query Augmentation for LLM Reinforcement Learningcited by 4
- 2026boldsymbolf-OPD: Stabilizing Long-Horizon On-Policy Distillation with Freshness-Aware Controlcited by 4
- 2026Lightning OPD 2.0: Mitigating Style Bias in Cross-Teacher On-Policy Distillation for Large Reasoning Modelscited by 3
- 2026Surgical Post-Training: Proximal On-Policy Distillation for Reasoning with Knowledge Retentioncited by 2
- 2026On-Policy Adversarial Flow Distillation for Autoregressive Video Generationcited by 2
- 2026When Does Online Imitation Learning Help in LLM Post-Training? The Role of (Non-)Realizability Beyond Horizoncited by 2
- 2026Right in the Right Way: LM Training with Verifiable Rewards and Human Demonstrationscited by 2
- 2026A Few Teacher Steps Go a Long Way: Cost-Efficient On-Policy Data Augmentation for Agent Post-Trainingcited by 2
- 2026Step-Level On-Policy Distillation: Interpolating Between On-Policy Distillation and Supervised Fine-Tuningcited by 2
- 2026FAIL: Flow Matching Adversarial Imitation Learning for Image Generationcited by 1
- 2026OPOD: On-Policy Omni Distillationcited by 1
- 2026Beyond Single-Sample: Reliable Multi-Sample Distillation for Video Understandingcited by 0
- 2026Teaching the Way, Not the Answer: Privileged Tutoring Distillation for Multimodal Policy Optimizationcited by 0
- 2026PADD: Path-Aligned Decompression Distillation for Non-Router Teacher to Guide MoE Student Learningcited by 0
- 2026The Quality-Utility Paradox: Why High-Reward Data Impairs Small Model Mathematical Reasoningcited by 0
- 2026OptiAgent: End-to-End Optimization Modeling via Multi-Agent Iterative Refinementcited by 0
- 2026AdaStop: Cost-Aware Early Stopping for DNN Test Selectioncited by 0
- 2026Proxy OPD: On-Policy Distillation with Transferable Relative Proxy Updatecited by 0
- 2026Aha-Flow Distillation: Flow Markers Matter in LLM Reasoningcited by 0
- 2026PSD: Pseudo Self-Distillation of Memory Representation Capabilities for LLM Agentscited by 0
- 2026Post-Training Leaves Behavioral Shadows on Unrelated Decisionscited by 0
- 2026Persistent Negatives for Adversarial Black-Box On-Policy Distillationcited by 0
- 2026USA: Update-aware SAM for Cross-domain On-Policy Disitllation of Language Agentscited by 0
- 2026Look Before You Select: Rethinking Vocabulary Sparsification in On-Policy Distillationcited by 0
- 2026The Teacher Is a Direction, Not a Destination: Extrapolating RL-Induced Representation Residuals in On-Policy Distillationcited by 0
50 most cited of 53 All 53 (JSON)
- 2026Composing What Each Teacher Learned: Multi-Teacher On-Policy Distillation through Teacher-Relative Shifts7 Oct 2026
- 2026Revisiting On-policy Adversarial Black-Box Distillation: Calibrating Groupwise Reward Geometry for Effective Advantage Construction30 Sep 2026
- 2026Smaller Models, Better Rejects: Preference Distillation Scaling30 Sep 2026
- 2026The Teacher Is a Direction, Not a Destination: Extrapolating RL-Induced Representation Residuals in On-Policy Distillation29 Sep 2026
- 2026Look Before You Select: Rethinking Vocabulary Sparsification in On-Policy Distillation28 Sep 2026
- 2026USA: Update-aware SAM for Cross-domain On-Policy Disitllation of Language Agents28 Sep 2026
- 2026Persistent Negatives for Adversarial Black-Box On-Policy Distillation25 Sep 2026
- 2026Post-Training Leaves Behavioral Shadows on Unrelated Decisions24 Sep 2026
- 2026PSD: Pseudo Self-Distillation of Memory Representation Capabilities for LLM Agents20 Sep 2026
- 2026Aha-Flow Distillation: Flow Markers Matter in LLM Reasoning7 Sep 2026
- 2026Step-Level On-Policy Distillation: Interpolating Between On-Policy Distillation and Supervised Fine-Tuning17 Aug 2026
- 2026Stealing Reasoning Traces from Proprietary LLM APIs10 Aug 2026
38 more
- 2026SPOT: Sparse Probing and Outcome Calibration for On-Policy Distillation5 Aug 2026
- 2026Lightning OPD 2.0: Mitigating Style Bias in Cross-Teacher On-Policy Distillation for Large Reasoning Models30 Jul 2026
- 2026Pass the Baton: Trajectory-Relayed On-Policy Distillation28 Jul 2026
- 2026OPOD: On-Policy Omni Distillation23 Jul 2026
- 2026Proxy OPD: On-Policy Distillation with Transferable Relative Proxy Update13 Jul 2026
- 2026AdaStop: Cost-Aware Early Stopping for DNN Test Selection6 Jul 2026
- 2026OptiAgent: End-to-End Optimization Modeling via Multi-Agent Iterative Refinement6 Jul 2026
- 2026Multi-Turn On-Policy Distillation with Prefix Replay6 Jul 2026
- 2026A Few Teacher Steps Go a Long Way: Cost-Efficient On-Policy Data Augmentation for Agent Post-Training6 Jul 2026
- 2026Right in the Right Way: LM Training with Verifiable Rewards and Human Demonstrations1 Jul 2026
- 2026When Does Online Imitation Learning Help in LLM Post-Training? The Role of (Non-)Realizability Beyond Horizon29 Jun 2026
- 2026The Quality-Utility Paradox: Why High-Reward Data Impairs Small Model Mathematical Reasoning15 Jun 2026
- 2026RLCSD: Reinforcement Learning with Contrastive On-Policy Self-Distillation10 Jun 2026
- 2026PADD: Path-Aligned Decompression Distillation for Non-Router Teacher to Guide MoE Student Learning9 Jun 2026
- 2026Teaching the Way, Not the Answer: Privileged Tutoring Distillation for Multimodal Policy Optimization5 Jun 2026
- 2026OmniOPD: Logit-Free On-Policy Distillation via Speculative Verification31 May 2026
- 2026On-Policy Adversarial Flow Distillation for Autoregressive Video Generation25 May 2026
- 2026Tailoring Teaching to Aptitude: Direction-Adaptive Self-Distillation for LLM Reasoning21 May 2026
- 2026boldsymbolf-OPD: Stabilizing Long-Horizon On-Policy Distillation with Freshness-Aware Control18 May 2026
- 2026Prefix Teach, Suffix Fade: Local Teachability Collapse in Strong-to-Weak On-Policy Distillation13 May 2026
- 2026Multi-Rollout On-Policy Distillation via Peer Successes and Failures12 May 2026
- 2026Beyond GRPO and On-Policy Distillation: An Empirical Sparse-to-Dense Reward Principle for Language-Model Post-Training12 May 2026
- 2026OGLS-SD: On-Policy Self-Distillation with Outcome-Guided Logit Steering for LLM Reasoning12 May 2026
- 2026SOD: Step-wise On-policy Distillation for Small Language Model Agents8 May 2026
- 2026SimCT: Recovering Lost Supervision for Cross-Tokenizer On-Policy Distillation8 May 2026
- 2026Rubric-based On-policy Distillation8 May 2026
- 2026Uni-OPD: Unifying On-Policy Distillation with a Dual-Perspective Recipe5 May 2026
- 2026Beyond SFT-to-RL: Pre-alignment via Black-Box On-Policy Distillation for Multimodal RL30 Apr 2026
- 2026Lightning OPD: Efficient Post-Training for Large Reasoning Models with Offline On-Policy Distillation14 Apr 2026
- 2026Demystifying OPD: Length Inflation and Stabilization Strategies for Large Language Models9 Apr 2026
- 2026Large Language Model Post-Training: A Unified View of Off-Policy and On-Policy Learning9 Apr 2026
- 2026SODA: Semi On-Policy Black-Box Distillation for Large Language Models4 Apr 2026
- 2026Revisiting On-Policy Distillation: Empirical Failure Modes and Simple Fixes26 Mar 2026
- 2026Beyond Single-Sample: Reliable Multi-Sample Distillation for Video Understanding12 Mar 2026
- 2026Surgical Post-Training: Proximal On-Policy Distillation for Reasoning with Knowledge Retention2 Mar 2026
- 2026On-Policy Context Distillation for Language Models12 Feb 2026
- 2026FAIL: Flow Matching Adversarial Imitation Learning for Image Generation12 Feb 2026
- 2026Learning beyond Teacher: Generalized On-Policy Distillation with Reward Extrapolation12 Feb 2026
50 newest of 53 All 53 (JSON)
- 2026RLCSD: Reinforcement Learning with Contrastive On-Policy Self-Distillationcited by 33
- 2026Lightning OPD: Efficient Post-Training for Large Reasoning Models with Offline On-Policy Distillationcited by 28
- 2026OGLS-SD: On-Policy Self-Distillation with Outcome-Guided Logit Steering for LLM Reasoningcited by 14
- 2026CORD: Bridging the Audio-Text Reasoning Gap via Weighted On-policy Cross-modal Distillationcited by 9
- 2026OVD: On-policy Verbal Distillationcited by 9
- 2026Beyond GRPO and On-Policy Distillation: An Empirical Sparse-to-Dense Reward Principle for Language-Model Post-Trainingcited by 9
- 2026Stealing Reasoning Traces from Proprietary LLM APIscited by 8
- 2026Tailoring Teaching to Aptitude: Direction-Adaptive Self-Distillation for LLM Reasoningcited by 7
- 2026HeaPA: Difficulty-Aware Heap Sampling and On-Policy Query Augmentation for LLM Reinforcement Learningcited by 4
- 2026Lightning OPD 2.0: Mitigating Style Bias in Cross-Teacher On-Policy Distillation for Large Reasoning Modelscited by 3
- 2026Surgical Post-Training: Proximal On-Policy Distillation for Reasoning with Knowledge Retentioncited by 2
- 2026Right in the Right Way: LM Training with Verifiable Rewards and Human Demonstrationscited by 2
12 most cited of 15 All 15 (JSON)
- 2026Aha-Flow Distillation: Flow Markers Matter in LLM Reasoning7 Sep 2026
- 2026Stealing Reasoning Traces from Proprietary LLM APIs10 Aug 2026
- 2026Lightning OPD 2.0: Mitigating Style Bias in Cross-Teacher On-Policy Distillation for Large Reasoning Models30 Jul 2026
- 2026Right in the Right Way: LM Training with Verifiable Rewards and Human Demonstrations1 Jul 2026
- 2026The Quality-Utility Paradox: Why High-Reward Data Impairs Small Model Mathematical Reasoning15 Jun 2026
- 2026RLCSD: Reinforcement Learning with Contrastive On-Policy Self-Distillation10 Jun 2026
- 2026Teaching the Way, Not the Answer: Privileged Tutoring Distillation for Multimodal Policy Optimization5 Jun 2026
- 2026Tailoring Teaching to Aptitude: Direction-Adaptive Self-Distillation for LLM Reasoning21 May 2026
- 2026Beyond GRPO and On-Policy Distillation: An Empirical Sparse-to-Dense Reward Principle for Language-Model Post-Training12 May 2026
- 2026OGLS-SD: On-Policy Self-Distillation with Outcome-Guided Logit Steering for LLM Reasoning12 May 2026
- 2026Lightning OPD: Efficient Post-Training for Large Reasoning Models with Offline On-Policy Distillation14 Apr 2026
- 2026Surgical Post-Training: Proximal On-Policy Distillation for Reasoning with Knowledge Retention2 Mar 2026
12 newest of 15 All 15 (JSON)
- 2026SOD: Step-wise On-policy Distillation for Small Language Model Agentscited by 17
- 2026Multi-Turn On-Policy Distillation with Prefix Replaycited by 12
- 2026A Few Teacher Steps Go a Long Way: Cost-Efficient On-Policy Data Augmentation for Agent Post-Trainingcited by 2
- 2026PSD: Pseudo Self-Distillation of Memory Representation Capabilities for LLM Agentscited by 0
- 2026USA: Update-aware SAM for Cross-domain On-Policy Disitllation of Language Agentscited by 0
- 2026USA: Update-aware SAM for Cross-domain On-Policy Disitllation of Language Agents28 Sep 2026
- 2026PSD: Pseudo Self-Distillation of Memory Representation Capabilities for LLM Agents20 Sep 2026
- 2026Multi-Turn On-Policy Distillation with Prefix Replay6 Jul 2026
- 2026A Few Teacher Steps Go a Long Way: Cost-Efficient On-Policy Data Augmentation for Agent Post-Training6 Jul 2026
- 2026SOD: Step-wise On-policy Distillation for Small Language Model Agents8 May 2026
- 2026Rubric-based On-policy Distillationcited by 11
- 2026Rubric-based On-policy Distillation8 May 2026
- 2026On-Policy Context Distillation for Language Modelscited by 161
- 2026Learning beyond Teacher: Generalized On-Policy Distillation with Reward Extrapolationcited by 157
- 2026Revisiting On-Policy Distillation: Empirical Failure Modes and Simple Fixescited by 122
- 2026Uni-OPD: Unifying On-Policy Distillation with a Dual-Perspective Recipecited by 43
- 2026Demystifying OPD: Length Inflation and Stabilization Strategies for Large Language Modelscited by 24
- 2026Prefix Teach, Suffix Fade: Local Teachability Collapse in Strong-to-Weak On-Policy Distillationcited by 13
- 2026SimCT: Recovering Lost Supervision for Cross-Tokenizer On-Policy Distillationcited by 11
- 2026Pass the Baton: Trajectory-Relayed On-Policy Distillationcited by 10
- 2026Multi-Rollout On-Policy Distillation via Peer Successes and Failurescited by 8
- 2026SPOT: Sparse Probing and Outcome Calibration for On-Policy Distillationcited by 7
- 2026SODA: Semi On-Policy Black-Box Distillation for Large Language Modelscited by 6
- 2026Large Language Model Post-Training: A Unified View of Off-Policy and On-Policy Learningcited by 5
12 most cited of 27 All 27 (JSON)
- 2026Composing What Each Teacher Learned: Multi-Teacher On-Policy Distillation through Teacher-Relative Shifts7 Oct 2026
- 2026Revisiting On-policy Adversarial Black-Box Distillation: Calibrating Groupwise Reward Geometry for Effective Advantage Construction30 Sep 2026
- 2026Smaller Models, Better Rejects: Preference Distillation Scaling30 Sep 2026
- 2026The Teacher Is a Direction, Not a Destination: Extrapolating RL-Induced Representation Residuals in On-Policy Distillation29 Sep 2026
- 2026Look Before You Select: Rethinking Vocabulary Sparsification in On-Policy Distillation28 Sep 2026
- 2026Persistent Negatives for Adversarial Black-Box On-Policy Distillation25 Sep 2026
- 2026Post-Training Leaves Behavioral Shadows on Unrelated Decisions24 Sep 2026
- 2026Step-Level On-Policy Distillation: Interpolating Between On-Policy Distillation and Supervised Fine-Tuning17 Aug 2026
- 2026SPOT: Sparse Probing and Outcome Calibration for On-Policy Distillation5 Aug 2026
- 2026Pass the Baton: Trajectory-Relayed On-Policy Distillation28 Jul 2026
- 2026OPOD: On-Policy Omni Distillation23 Jul 2026
- 2026Proxy OPD: On-Policy Distillation with Transferable Relative Proxy Update13 Jul 2026
12 newest of 27 All 27 (JSON)
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