mlsanityData to 7 Oct 2026

Distillation Defenses Easily Break After Reinforcement Learning

arXiv 2609.35699 ↗First posted 28 Sep 2026cs.LG cs.AI cs.CRcited by 0

On the map: LLM reasoning → Reinforcement learning for reasoning

Abstract (arXiv)

Distillation attacks copy the reasoning capabilities of closed-source large language models, allowing bad actors to replicate state-of-the-art performance at low cost. Attackers systematically collect a large volume of frontier model reasoning traces and then train (i.e., "distill") their own models on these traces. Existing defenses against distillation attacks are typically evaluated immediately after distillation, implicitly assuming attackers do not train their models any further. In this paper, we argue that a more realistic threat model includes further training with reinforcement learning after distillation. A misspecified threat model can give a false sense of security -- some defenses that seem effective after distillation can be broken after subsequent reinforcement learning. Practically, reinforcement learning lowers the bar for a distillation attack to be effective. We show that simple attacks can steal reasoning capabilities from existing closed-source language models using data easily obtainable from current APIs, yielding reasoning improvements equivalent to more sophisticated attacks that extract the full hidden traces. Results indicate that any distillation defense that leaks sufficient information to reconstruct approximate reasoning traces is likely ineffective. We conclude by discussing broader implications and batch-level distillation defenses which could be more effective.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Placed in Reinforcement learning for reasoning, one of 17 directions in LLM reasoning. Builds on 34 of its 55 references that are in the map. First posted on arXiv 28 Sep 2026.

Builds on

34 of 55 references.

Closest ancestors · 10

Same direction, newest first

  1. 2025AceReason-Nemotron 1.1: Advancing Math and Code Reasoning through SFT and RL Synergy16 Jun
  2. 2025Spurious Rewards: Rethinking Training Signals in RLVR12 Jun
  3. 2025Why Distillation can Outperform Zero-RL: The Role of Flexible Reasoning27 May
  4. 2025Does Reinforcement Learning Really Incentivize Reasoning Capacity in LLMs Beyond the Base Model?18 Apr
  5. 2025Understanding R1-Zero-Like Training: A Critical Perspective26 Mar
  6. 2025SimpleRL-Zoo: Investigating and Taming Zero Reinforcement Learning for Open Base Models in the Wild24 Mar
  7. 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scale18 Mar
  8. 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning22 Jan
  9. 2023Let's Verify Step by Step31 May
  10. 2017Proximal Policy Optimization Algorithms20 Jul

Other references · 24

  1. 2024The Llama 3 Herd of Modelscited by 14,192
  2. 2015Distilling the Knowledge in a Neural Networkcited by 10,076
  3. 2021Training Verifiers to Solve Math Word Problemscited by 9,743
  4. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
  5. 2021Evaluating Large Language Models Trained on Codecited by 8,053
  6. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
  7. 2025s1: Simple test-time scalingcited by 1,311
  8. 2016Sequence-Level Knowledge Distillationcited by 761
  9. 2025SFT Memorizes, RL Generalizes: A Comparative Study of Foundation Model Post-trainingcited by 655
  10. 2018Reinforcement Learning and Control as Probabilistic Inference: Tutorial and Reviewcited by 466
  11. 2021Bridging Offline Reinforcement Learning and Imitation Learning: A Tale of Pessimismcited by 275
  12. 2025Llama-Nemotron: Efficient Reasoning Modelscited by 151
12 more
  1. 2019Imitation Learning as f-Divergence Minimizationcited by 121
  2. 2025Does Math Reasoning Improve General LLM Capabilities? Understanding Transferability of LLM Reasoningcited by 101
  3. 2024Is Behavior Cloning All You Need? Understanding Horizon in Imitation Learningcited by 74
  4. 2025Distillation Scaling Lawscited by 59
  5. 2023Towards the Law of Capacity Gap in Distilling Language Modelscited by 41
  6. 2025Antidistillation Samplingcited by 24
  7. 2025DOGe: Defensive Output Generation for LLM Protection Against Knowledge Distillationcited by 14
  8. 2026How to Steal Reasoning Without Reasoning Tracescited by 8
  9. 2026Stealing Reasoning Traces from Proprietary LLM APIscited by 8
  10. 2026Boundary Point Jailbreaking of Black-Box LLMscited by 7
  11. 2026Antidistillation Fingerprintingcited by 6
  12. 2026What Does It Mean to Break a Distillation Defense?cited by 1

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  4. 2025Reinforcement Learning vs. Distillation: Understanding Accuracy and Capability in LLM Reasoning
  5. 2026On-Policy Delta Distillation
  6. 2026Unmasking On-Policy Distillation: Where It Helps, Where It Hurts, and Why
  7. 2026The Weakest Link: Distilling LLM Reasoning with Worst-Case Constrained Reinforcement Learning
  8. 2025Beyond Scaling Law: A Data-Efficient Distillation Framework for Reasoning