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League of LLMs: A Benchmark-Free Paradigm for Mutual Evaluation of Large Language Models

arXiv 2507.22359 ↗First posted 30 Jul 2025cs.AI cs.CLcited by 0

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Abstract (arXiv)

Although large language models (LLMs) have shown exceptional capabilities across a wide range of tasks, reliable evaluation remains a critical challenge due to data contamination, opaque operation, and subjective preferences. To address these issues, we propose League of LLMs (LOL), a novel benchmark-free evaluation paradigm that organizes multiple LLMs into a self-governed league for multi-round mutual evaluation. LOL integrates four core criteria (dynamic, transparent, objective, and professional) to mitigate key limitations of existing paradigms. Experiments on eight mainstream LLMs in mathematics and programming demonstrate that LOL can effectively distinguish LLM capabilities while maintaining high internal ranking stability (Top-k consistency = 70.7%). Beyond ranking, LOL reveals empirical findings that are difficult for traditional paradigms to capture. For instance, ``memorization-based answering'' behaviors are observed in some models, and higher in-family scores are found in the OpenAI model family (Delta = 9, p < 0.05). Finally, we make our framework and code publicly available as a valuable complement to the current LLM evaluation ecosystem.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 22 of its 44 references that are in the map. First posted on arXiv 30 Jul 2025.

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References · 22

  1. 2017Attention Is All You Needcited by 59,932
  2. 2023Judging LLM-as-a-Judge with MT-Bench and Chatbot Arenacited by 8,393
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  4. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
  5. 2023GPQA: A Graduate-Level Google-Proof Q&A Benchmarkcited by 2,748
  6. 2024LiveCodeBench: Holistic and Contamination Free Evaluation of Large Language Models for Codecited by 1,906
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  8. 2020MiniLM: Deep Self-Attention Distillation for Task-Agnostic Compression of Pre-Trained Transformerscited by 1,414
  9. 2024Chatbot Arena: An Open Platform for Evaluating LLMs by Human Preferencecited by 1,151
  10. 2023WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instructcited by 618
  11. 2023Llemma: An Open Language Model For Mathematicscited by 385
  12. 2022A Systematic Evaluation of Large Language Models of Codecited by 360
10 more
  1. 2023NLP Evaluation in trouble: On the Need to Measure LLM Data Contamination for each Benchmarkcited by 339
  2. 2023OpenAGI: When LLM Meets Domain Expertscited by 196
  3. 2023Rethinking Benchmark and Contamination for Language Models with Rephrased Samplescited by 192
  4. 2024GSM-Plus: A Comprehensive Benchmark for Evaluating the Robustness of LLMs as Mathematical Problem Solverscited by 155
  5. 2022A Survey of Deep Learning for Mathematical Reasoningcited by 124
  6. 2023LLMs as Narcissistic Evaluators: When Ego Inflates Evaluation Scorescited by 88
  7. 2024From Lists to Emojis: How Format Bias Affects Model Alignmentcited by 48
  8. 2024Human-Centered Design Recommendations for LLM-as-a-Judgecited by 35
  9. 2023An Interdisciplinary Outlook on Large Language Models for Scientific Researchcited by 15
  10. 2024Do Large Language Models Truly Grasp Mathematics? An Empirical Exploration From Cognitive Psychologycited by 1

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