Vocabulary Dropout for Curriculum Diversity in LLM Co-Evolution
Not on the map. Why?
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
- 2021Training Verifiers to Solve Math Word Problemscited by 9,743
- 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
- 2025Qwen3 Technical Reportcited by 8,195
- 2023Efficient Memory Management for Large Language Model Serving with PagedAttentioncited by 5,767
- 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
- 2024HybridFlow: A Flexible and Efficient RLHF Frameworkcited by 1,980
- 2022Challenging BIG-Bench Tasks and Whether Chain-of-Thought Can Solve Themcited by 1,767
- 2022Solving Quantitative Reasoning Problems with Language Modelscited by 1,359
- 2020What Disease does this Patient Have? A Large-scale Open Domain Question Answering Dataset from Medical Examscited by 1,324
- 2024OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problemscited by 1,099
- 2019Dota 2 with Large Scale Deep Reinforcement Learningcited by 1,084
- 2025Does Reinforcement Learning Really Incentivize Reasoning Capacity in LLMs Beyond the Base Model?cited by 948
34 more
- 2025OpenAI GPT-5 System Cardcited by 910
- 2024Self-Play Fine-Tuning Converts Weak Language Models to Strong Language Modelscited by 552
- 2025Beyond the 80/20 Rule: High-Entropy Minority Tokens Drive Effective Reinforcement Learning for LLM Reasoningcited by 540
- 2025The Entropy Mechanism of Reinforcement Learning for Reasoning Language Modelscited by 463
- 2017Population Based Training of Neural Networkscited by 351
- 2025Absolute Zero: Reinforced Self-play Reasoning with Zero Datacited by 323
- 2022The Vendi Score: A Diversity Evaluation Metric for Machine Learningcited by 299
- 2025R-Zero: Self-Evolving Reasoning LLM from Zero Datacited by 210
- 2025Spurious Rewards: Rethinking Training Signals in RLVRcited by 199
- 2019Show Your Work: Improved Reporting of Experimental Resultscited by 164
- 2016Deep Reinforcement Learning from Self-Play in Imperfect-Information Gamescited by 153
- 2025Artificial Hivemind: The Open-Ended Homogeneity of Language Models (and Beyond)cited by 137
- 2025General-Reasoner: Advancing LLM Reasoning Across All Domainscited by 132
- 2024Adding Error Bars to Evals: A Statistical Approach to Language Model Evaluationscited by 130
- 2024RL on Incorrect Synthetic Data Scales the Efficiency of LLM Math Reasoning by Eight-Foldcited by 99
- 2025Jointly Reinforcing Diversity and Quality in Language Model Generationscited by 79
- 2025SPICE: Self-Play In Corpus Environments Improves Reasoningcited by 78
- 2019Learning Action Representations for Reinforcement Learningcited by 75
- 2025Multi-Agent Evolve: LLM Self-Improve through Co-evolutioncited by 58
- 2025Breaking the Exploration Bottleneck: Rubric-Scaffolded Reinforcement Learning for General LLM Reasoningcited by 56
- 2026From Entropy to Epiplexity: Rethinking Information for Computationally Bounded Intelligencecited by 39
- 2025Guided Self-Evolving LLMs with Minimal Human Supervisioncited by 33
- 2019Growing Action Spacescited by 29
- 2022Semantic Diversity in Dialogue with Natural Language Inferencecited by 28
- 2025QA-LIGN: Aligning LLMs through Constitutionally Decomposed QAcited by 28
- 2025Socratic-Zero : Bootstrapping Reasoning via Data-Free Agent Co-evolutioncited by 24
- 2025Differential Smoothing Mitigates Sharpening and Improves LLM Reasoningcited by 19
- 2026Self-Play Only Evolves When Self-Synthetic Pipeline Ensures Learnable Information Gaincited by 16
- 2025Propose, Solve, Verify: Self-Play Through Formal Verificationcited by 11
- 2025ThinkTuning: Instilling Cognitive Reflections without Distillationcited by 9
- 2025Towards Understanding Self-play for LLM Reasoningcited by 8
- 2025CC-LEARN: Cohort-based Consistency Learningcited by 5
- 2026Preventing Curriculum Collapse in Self-Evolving Reasoning Systemscited by 2
- 2026Reinforcement Learning with Promising Tokens for Large Language Modelscited by 1
Built on by
Citing papers per year: 2026: 1.
1 paper.
- 2026Scaling Self-Play with Self-Guidancecited by 9
- 2026Scaling Self-Play with Self-Guidance22 Apr 2026
Similar, not cited
Close in wording, no citation either way
- 2023Unleashing the Creative Mind: Language Model As Hierarchical Policy For Improved Exploration on Challenging Problem Solving
- 2025Self-Evolving Curriculum for LLM Reasoning
- 2025Language Self-Play For Data-Free Training
- 2026PopuLoRA: Co-Evolving LLM Populations for Reasoning Self-Play
- 2026STRETCH the Boundaries: A Unified Self-Taught Framework for Progressive LLM Evolution
- 2026MathDuels: A Self-Play Benchmark That Grows
- 2026R-Diverse: Mitigating Diversity Illusion in Self-Play LLM Training
- 2025Learning Like Humans: Advancing LLM Reasoning Capabilities via Adaptive Difficulty Curriculum Learning and Expert-Guided Self-Reformulation