---
title: "Summary: 2026-04-23_17-57-46Z_MathDuels_EvaluatingLLMsasProblemPosersandSolvers"
date: 2026-04-23
tags: ['paper', 'research', 'ai']
---
# Summary: 2026-04-23_17-57-46Z_MathDuels_EvaluatingLLMsasProblemPosersandSolvers


**Source**: [Original Paper](http://arxiv.org/abs/2604.21916v1)
Saved: 2026-05-08 03:29
Source: 2026-04-23_17-57-46Z_MathDuels_EvaluatingLLMsasProblemPosersandSolvers.md
Model: None

---

## Summary
MathDuels evaluates language models in dual roles: posing math problems and solving problems authored by others. Using adversarial generation, validation, and a Rasch model, it separates authoring ability from solving ability and shows that these skills are only partially aligned.

## Semantic links
- [[concepts/papers/2026-06-18_17-59-46Z_HowTransparentisDiffusionGemma_summary.md|Summary: 2026-06-18_17-59-46Z_HowTransparentisDiffusionGemma.md]] — 3 title terms overlap; shared tags: ai, paper, research; 7 summary/topic terms overlap
- [[concepts/papers/2026-06-11_17-59-52Z_LearningtoReasonbyAnalogyviaRetrieval_Augme_summary.md|Summary: 2026-06-11_17-59-52Z_LearningtoReasonbyAnalogyviaRetrieval_AugmentedRei.md]] — 2 title terms overlap; shared tags: ai, paper, research; 11 summary/topic terms overlap
- [[concepts/papers/2026-06-18_17-47-32Z_HowDoInstructionsShapeSpeech_Cross_Attentio_summary.md|Summary: 2026-06-18_17-47-32Z_HowDoInstructionsShapeSpeech_Cross_AttentionAttrib.md]] — 2 title terms overlap; shared tags: ai, paper, research; 1 backlink

## Key Takeaways
- Moves beyond static math benchmarks by using self-play.
- Estimates both solver ability and authored-problem difficulty.
- Reveals capability differences that single-role benchmarks miss.


## Context
The benchmark is designed to avoid saturation on fixed math problem sets.

## Implications
Evaluations that include problem posing can reveal new distinctions between models.

## Original Reference
- Title: MathDuels: Evaluating LLMs as Problem Posers and Solvers
- Authors: Zhiqiu Xu, Shibo Jin, Shreya Arya, Mayur Naik
- URL: http://arxiv.org/abs/2604.21916v1
- Published: 2026-04-23T17:57:46Z
- Source file: /home/rich/wiki/ai-research/raw/papers/2026-04-23_17-57-46Z_MathDuels_EvaluatingLLMsasProblemPosersandSolvers.md


## Related Concepts

- [[concepts/llm-models/llm-models-hub.md|LLM Models Hub]]
- [[concepts/evaluation-benchmarks/evaluation-benchmarks-hub.md|Evaluation Benchmarks Hub]]
- [[concepts/generative-models/generative-models-hub.md|Generative Models Hub]]
- [[concepts/search-retrieval/search-retrieval-hub.md|Search Retrieval Hub]]