mlsanityData to 7 Oct 2026

Self-Harmony: Learning to Harmonize Self-Supervision and Self-Play in Test-Time Reinforcement Learning

arXiv 2511.01191 ↗First posted 3 Nov 2025cs.CL cs.AI cs.LGcited by 9

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Abstract (arXiv)

Test-time reinforcement learning (TTRL) offers a label-free paradigm for adapting models using only synthetic signals at inference, but its success hinges on constructing reliable learning signals. Standard approaches such as majority voting often collapse to spurious yet popular answers. We introduce Self-Harmony, a framework built on a simple intuition: the correct answer should remain stable across both an original question and its paraphrase. Self-Harmony operationalizes this by employing a single model in two complementary roles: a Solver to produce answers and a Reframer to rephrase the input. Based on this, we further propose a pseudo-label method: instead of majority voting, it aggregates answer frequencies across these original and reframed views using the harmonic mean. This is a process that naturally selects for solutions stable under reframing, thereby avoiding the common trap of favoring view-dependent, spurious answers. Crucially, this requires no human supervision or auxiliary models. Across diverse reasoning benchmarks, Self-Harmony achieves state-of-the-art results at the label-free test-time setting, ranking first in 28 of 30 settings across multiple methods. Beyond accuracy, it demonstrates unprecedented robustness, with zero training failures in all experiments, underscoring its stability and reliability.

Key facts. Cited by 9 papers in the map (data through 7 Oct 2026). Builds on 31 of its 44 references that are in the map. First posted on arXiv 3 Nov 2025.

Builds on

31 of 44 references.

References · 31

  1. 2021Training Verifiers to Solve Math Word Problemscited by 9,743
  2. 2022Self-Consistency Improves Chain of Thought Reasoning in Language Modelscited by 5,601
  3. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
  4. 2023Let's Verify Step by Stepcited by 3,598
  5. 2023GPQA: A Graduate-Level Google-Proof Q&A Benchmarkcited by 2,748
  6. 2020FixMatch: Simplifying Semi-Supervised Learning with Consistency and Confidencecited by 2,080
  7. 2019Invariant Risk Minimizationcited by 1,832
  8. 2018Learning deep representations by mutual information estimation and maximizationcited by 1,265
  9. 2019Unsupervised Data Augmentation for Consistency Trainingcited by 1,057
  10. 2022Red Teaming Language Models with Language Modelscited by 983
  11. 2020What Makes for Good Views for Contrastive Learning?cited by 843
  12. 2022Large Language Models Can Self-Improvecited by 656
19 more
  1. 2024RewardBench: Evaluating Reward Models for Language Modelingcited by 480
  2. 2025TTRL: Test-Time Reinforcement Learningcited by 253
  3. 2025Learning to Reason without External Rewardscited by 199
  4. 2020Learning Robust Representations via Multi-View Information Bottleneckcited by 189
  5. 2023MART: Improving LLM Safety with Multi-round Automatic Red-Teamingcited by 161
  6. 2024From Decoding to Meta-Generation: Inference-time Algorithms for Large Language Modelscited by 136
  7. 2025Process Reward Models That Thinkcited by 118
  8. 2025Maximizing Confidence Alone Improves Reasoningcited by 97
  9. 2025GenPRM: Scaling Test-Time Compute of Process Reward Models via Generative Reasoningcited by 94
  10. 2025Beyond Pass@1: Self-Play with Variational Problem Synthesis Sustains RLVRcited by 53
  11. 2024Self-Consistency Preference Optimizationcited by 50
  12. 2023Self-Polish: Enhance Reasoning in Large Language Models via Problem Refinementcited by 43
  13. 2025Language Self-Play For Data-Free Trainingcited by 42
  14. 2025ETTRL: Balancing Exploration and Exploitation in LLM Test-Time Reinforcement Learning Via Entropy Mechanismcited by 35
  15. 2025Heimdall: test-time scaling on the generative verificationcited by 26
  16. 2024Mirror-Consistency: Harnessing Inconsistency in Majority Votingcited by 16
  17. 2024Paraphrase and Solve: Exploring and Exploiting the Impact of Surface Form on Mathematical Reasoning in Large Language Modelscited by 14
  18. 2024Monotonic Paraphrasing Improves Generalization of Language Model Promptingcited by 10
  19. 2025Rethinking the Role of Prompting Strategies in LLM Test-Time Scaling: A Perspective of Probability Theorycited by 10

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2026: 9.

9 papers.