mlsanityData to 7 Oct 2026

Vocabulary Dropout for Curriculum Diversity in LLM Co-Evolution

arXiv 2604.03472 ↗First posted 3 Apr 2026cs.CL cs.AIcited by 1

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Abstract (arXiv)

Co-evolutionary self-play, where one language model generates problems and another solves them, promises curriculum learning without human supervision. The promise breaks down early in practice. The proposer converges to a narrow distribution of problems that satisfy the reward function, and the collapsed curriculum teaches the solver little, stalling the loop. We introduce vocabulary dropout, a lightweight intervention that randomly masks the proposer's output logits during both policy training and curriculum generation. The mask is hard and non-stationary, so the proposer cannot lock into fixed token sequences. Training Qwen3-4B and Qwen3-8B on mathematical reasoning via R-Zero, vocabulary dropout sustains proposer diversity throughout training across lexical, semantic, and functional measures, and improves the solver by an average of +4.4 points at 8B with the largest gains on competition-level benchmarks. Explicit action-space constraints, filling the structural role that game rules fill in classical self-play, can keep co-evolution in language productive. Vocabulary dropout is one simple way to impose them.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Builds on 46 of its 65 references that are in the map. First posted on arXiv 3 Apr 2026.

Builds on

46 of 65 references.

References · 46

  1. 2021Training Verifiers to Solve Math Word Problemscited by 9,743
  2. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
  3. 2025Qwen3 Technical Reportcited by 8,195
  4. 2023Efficient Memory Management for Large Language Model Serving with PagedAttentioncited by 5,767
  5. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
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  11. 2019Dota 2 with Large Scale Deep Reinforcement Learningcited by 1,084
  12. 2025Does Reinforcement Learning Really Incentivize Reasoning Capacity in LLMs Beyond the Base Model?cited by 948
34 more
  1. 2025OpenAI GPT-5 System Cardcited by 910
  2. 2024Self-Play Fine-Tuning Converts Weak Language Models to Strong Language Modelscited by 552
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  9. 2025Spurious Rewards: Rethinking Training Signals in RLVRcited by 199
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  12. 2025Artificial Hivemind: The Open-Ended Homogeneity of Language Models (and Beyond)cited by 137
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  15. 2024RL on Incorrect Synthetic Data Scales the Efficiency of LLM Math Reasoning by Eight-Foldcited by 99
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  18. 2019Learning Action Representations for Reinforcement Learningcited by 75
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  27. 2025Differential Smoothing Mitigates Sharpening and Improves LLM Reasoningcited by 19
  28. 2026Self-Play Only Evolves When Self-Synthetic Pipeline Ensures Learnable Information Gaincited by 16
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  34. 2026Reinforcement Learning with Promising Tokens for Large Language Modelscited by 1

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  1. 2023Unleashing the Creative Mind: Language Model As Hierarchical Policy For Improved Exploration on Challenging Problem Solving
  2. 2025Self-Evolving Curriculum for LLM Reasoning
  3. 2025Language Self-Play For Data-Free Training
  4. 2026PopuLoRA: Co-Evolving LLM Populations for Reasoning Self-Play
  5. 2026STRETCH the Boundaries: A Unified Self-Taught Framework for Progressive LLM Evolution
  6. 2026MathDuels: A Self-Play Benchmark That Grows
  7. 2026R-Diverse: Mitigating Diversity Illusion in Self-Play LLM Training
  8. 2025Learning Like Humans: Advancing LLM Reasoning Capabilities via Adaptive Difficulty Curriculum Learning and Expert-Guided Self-Reformulation