mlsanityData to 14 Oct 2026

ErrorRadar: Benchmarking Complex Mathematical Reasoning of Multimodal Large Language Models Via Error Detection

arXiv 2410.04509 ↗First posted 6 Oct 2024cs.CLcited by 37

On the map: LLM reasoning → Mathematical reasoning

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Abstract (arXiv)

As the field of Multimodal Large Language Models (MLLMs) continues to evolve, their potential to revolutionize artificial intelligence is particularly promising, especially in addressing mathematical reasoning tasks. Current mathematical benchmarks predominantly focus on evaluating MLLMs' problem-solving ability, yet there is a crucial gap in addressing more complex scenarios such as error detection, for enhancing reasoning capability in complicated settings. To fill this gap, we formally formulate the new task: multimodal error detection, and introduce ErrorRadar, the first benchmark designed to assess MLLMs' capabilities in such a task. ErrorRadar evaluates two sub-tasks: error step identification and error categorization, providing a comprehensive framework for evaluating MLLMs' complex mathematical reasoning ability. It consists of 2,500 high-quality multimodal K-12 mathematical problems, collected from real-world student interactions in an educational organization, with rigorous annotation and rich metadata such as problem type and error category. Through extensive experiments, we evaluated both open-source and closed-source representative MLLMs, benchmarking their performance against educational expert evaluators. Results indicate significant challenges still remain, as GPT-4o with best performance is still around 10% behind human evaluation.

Key facts. Cited by 37 papers in the map (data through 14 Oct 2026). Placed in Mathematical reasoning, one of 17 directions in LLM reasoning. Builds on 76 of its 141 references that are in the map. First posted on arXiv 6 Oct 2024.

Builds on

76 of 141 references.

Closest ancestors · 14

Same direction, newest first

  1. 2024Is Your Model Really A Good Math Reasoner? Evaluating Mathematical Reasoning with Checklist11 Jul
  2. 2024Skywork-Math: Data Scaling Laws for Mathematical Reasoning in Large Language Models -- The Story Goes On11 Jul
  3. 2024Mathador-LM: A Dynamic Benchmark for Mathematical Reasoning on Large Language Models18 Jun
  4. 2024Evaluating Mathematical Reasoning of Large Language Models: A Focus on Error Identification and Correction2 Jun
  5. 2024MathChat: Benchmarking Mathematical Reasoning and Instruction Following in Multi-Turn Interactions29 May
  6. 2024LLMs for Mathematical Modeling: Towards Bridging the Gap between Natural and Mathematical Languages21 May
  7. 2024MuMath-Code: Combining Tool-Use Large Language Models with Multi-perspective Data Augmentation for Mathematical Reasoning13 May
  8. 2024GSM-Plus: A Comprehensive Benchmark for Evaluating the Robustness of LLMs as Mathematical Problem Solvers29 Feb
  9. 2024Large Language Models for Mathematical Reasoning: Progresses and Challenges31 Jan
  10. 2024SuperCLUE-Math6: Graded Multi-Step Math Reasoning Benchmark for LLMs in Chinese22 Jan
  11. 2024CHAMP: A Competition-level Dataset for Fine-Grained Analyses of LLMs' Mathematical Reasoning Capabilities13 Jan
  12. 2023SciBench: Evaluating College-Level Scientific Problem-Solving Abilities of Large Language Models20 Jul
2 more
  1. 2022A Survey of Deep Learning for Mathematical Reasoning20 Dec
  2. 2022Lila: A Unified Benchmark for Mathematical Reasoning31 Oct

Other references · 62

  1. 2023GPT-4 Technical Reportcited by 18,396
  2. 2021Training Verifiers to Solve Math Word Problemscited by 10,109
  3. 2020Scaling Laws for Neural Language Modelscited by 6,586
  4. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,371
  5. 2024Gemini 1.5: Unlocking multimodal understanding across millions of tokens of contextcited by 3,224
  6. 2023A Survey of Large Language Modelscited by 2,576
  7. 2023InternVL: Scaling up Vision Foundation Models and Aligning for Generic Visual-Linguistic Taskscited by 2,565
  8. 2023Qwen-VL: A Versatile Vision-Language Model for Understanding, Localization, Text Reading, and Beyondcited by 2,224
  9. 2024Phi-3 Technical Report: A Highly Capable Language Model Locally on Your Phonecited by 1,917
  10. 2023MathVista: Evaluating Mathematical Reasoning of Foundation Models in Visual Contextscited by 1,614
  11. 2024ChatGLM: A Family of Large Language Models from GLM-130B to GLM-4 All Toolscited by 1,121
  12. 2024MiniCPM-V: A GPT-4V Level MLLM on Your Phonecited by 1,079
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  2. 2024DeepSeek-VL: Towards Real-World Vision-Language Understandingcited by 733
  3. 2024Yi: Open Foundation Models by 01.AIcited by 719
  4. 2023CogVLM: Visual Expert for Pretrained Language Modelscited by 708
  5. 2019MathQA: Towards Interpretable Math Word Problem Solving with Operation-Based Formalismscited by 662
  6. 2024MathVerse: Does Your Multi-modal LLM Truly See the Diagrams in Visual Math Problems?cited by 586
  7. 2024Measuring Multimodal Mathematical Reasoning with MATH-Vision Datasetcited by 526
  8. 2024Large Language Models: A Surveycited by 525
  9. 2024MMMU-Pro: A More Robust Multi-discipline Multimodal Understanding Benchmarkcited by 512
  10. 2023Understanding the Effects of RLHF on LLM Generalisation and Diversitycited by 396
  11. 2023Detecting Pretraining Data from Large Language Modelscited by 387
  12. 2023Large Language Models for Information Retrieval: A Surveycited by 331
  13. 2024Visual Sketchpad: Sketching as a Visual Chain of Thought for Multimodal Language Modelscited by 268
  14. 2023Think-on-Graph: Deep and Responsible Reasoning of Large Language Model on Knowledge Graphcited by 238
  15. 2024Continual Learning of Large Language Models: A Comprehensive Surveycited by 234
  16. 2021GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoningcited by 228
  17. 2023G-LLaVA: Solving Geometric Problem with Multi-Modal Large Language Modelcited by 210
  18. 2024Large Language Models for Education: A Survey and Outlookcited by 188
  19. 2024Secrets of RLHF in Large Language Models Part II: Reward Modelingcited by 171
  20. 2024PutnamBench: Evaluating Neural Theorem-Provers on the Putnam Mathematical Competitioncited by 165
  21. 2021Raise a Child in Large Language Model: Towards Effective and Generalizable Fine-tuningcited by 146
  22. 2024Math-LLaVA: Bootstrapping Mathematical Reasoning for Multimodal Large Language Modelscited by 133
  23. 2023Large Language Model Is Not a Good Few-shot Information Extractor, but a Good Reranker for Hard Samples!cited by 119
  24. 2023GeomVerse: A Systematic Evaluation of Large Models for Geometric Reasoningcited by 108
  25. 2024MathBench: Evaluating the Theory and Application Proficiency of LLMs with a Hierarchical Mathematics Benchmarkcited by 105
  26. 2024MultiMath: Bridging Visual and Mathematical Reasoning for Large Language Modelscited by 70
  27. 2023Turning large language models into cognitive modelscited by 67
  28. 2024Are LLMs Capable of Data-based Statistical and Causal Reasoning? Benchmarking Advanced Quantitative Reasoning with Datacited by 63
  29. 2024Math-PUMA: Progressive Upward Multimodal Alignment to Enhance Mathematical Reasoningcited by 52
  30. 2024GeoEval: Benchmark for Evaluating LLMs and Multi-Modal Models on Geometry Problem-Solvingcited by 45
  31. 2024A Comprehensive Survey of Large Language Models and Multimodal Large Language Models in Medicinecited by 45
  32. 2024IsoBench: Benchmarking Multimodal Foundation Models on Isomorphic Representationscited by 38
  33. 2024InfiMM-WebMath-40B: Advancing Multimodal Pre-Training for Enhanced Mathematical Reasoningcited by 36
  34. 2024CMMU: A Benchmark for Chinese Multi-modal Multi-type Question Understanding and Reasoningcited by 31
  35. 2024MR-Ben: A Meta-Reasoning Benchmark for Evaluating System-2 Thinking in LLMscited by 30
  36. 2024Reefknot: A Comprehensive Benchmark for Relation Hallucination Evaluation, Analysis and Mitigation in Multimodal Large Language Modelscited by 30
  37. 2024Gemini Goes to Med School: Exploring the Capabilities of Multimodal Large Language Models on Medical Challenge Problems & Hallucinationscited by 27
  38. 2024MMNeuron: Discovering Neuron-Level Domain-Specific Interpretation in Multimodal Large Language Modelcited by 26

50 most cited of 62 All 62 (JSON)

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2024: 3; 2025: 28; 2026: 6.

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  1. 2025Towards Reasoning Era: A Survey of Long Chain-of-Thought for Reasoning Large Language Modelscited by 384
  2. 2025From System 1 to System 2: A Survey of Reasoning Large Language Modelscited by 320
  3. 2025A Comprehensive Survey in LLM(-Agent) Full Stack Safety: Data, Training and Deploymentcited by 116
  4. 2025PRMBench: A Fine-grained and Challenging Benchmark for Process-Level Reward Modelscited by 99
  5. 2025MM-RLHF: The Next Step Forward in Multimodal LLM Alignmentcited by 83
  6. 2025Unlocking Multimodal Mathematical Reasoning via Process Reward Modelcited by 65
  7. 2025LLM Agents for Education: Advances and Applicationscited by 59
  8. 2024A Survey of Mathematical Reasoning in the Era of Multimodal Large Language Model: Benchmark, Method & Challengescited by 55
  9. 2024Explainable and Interpretable Multimodal Large Language Models: A Comprehensive Surveycited by 52
  10. 2025SafeEraser: Enhancing Safety in Multimodal Large Language Models through Multimodal Machine Unlearningcited by 32
  11. 2025MMUnlearner: Reformulating Multimodal Machine Unlearning in the Era of Multimodal Large Language Modelscited by 30
  12. 2025MathAgent: Leveraging a Mixture-of-Math-Agent Framework for Real-World Multimodal Mathematical Error Detectioncited by 24
25 more
  1. 2025MME-Unify: A Comprehensive Benchmark for Unified Multimodal Understanding and Generation Modelscited by 24
  2. 2025DocPruner: A Storage-Efficient Framework for Multi-Vector Visual Document Retrieval via Adaptive Patch-Level Embedding Pruningcited by 20
  3. 2025GM-PRM: A Generative Multimodal Process Reward Model for Multimodal Mathematical Reasoningcited by 14
  4. 2025Benchmarking Multimodal Mathematical Reasoning with Explicit Visual Dependencycited by 11
  5. 2025Can Vision-Language Models Evaluate Handwritten Math?cited by 10
  6. 2026MMErroR: A Benchmark for Erroneous Reasoning in Vision-Language Modelscited by 10
  7. 2025PhysicsArena: The First Multimodal Physics Reasoning Benchmark Exploring Variable, Process, and Solution Dimensionscited by 9
  8. 2025EssayJudge: A Multi-Granular Benchmark for Assessing Automated Essay Scoring Capabilities of Multimodal Large Language Modelscited by 7
  9. 2025MathDebugger: Detecting and Diagnosing Errors in Synthetic Mathematical Datacited by 6
  10. 2026Credit Where It is Due: Cross-Modality Connectivity Drives Precise Reinforcement Learning for MLLM Reasoningcited by 6
  11. 2024Ask-Before-Detection: Identifying and Mitigating Conformity Bias in LLM-Powered Error Detector for Math Word Problem Solutionscited by 4
  12. 2025From Correctness to Comprehension: AI Agents for Personalized Error Diagnosis in Educationcited by 4
  13. 2025Can Large Multimodal Models Actively Recognize Faulty Inputs? A Systematic Evaluation Framework of Their Input Scrutiny Abilitycited by 3
  14. 2025Hop, Skip, and Overthink: Diagnosing Why Reasoning Models Fumble during Multi-Hop Analysiscited by 3
  15. 2025Enhancing Scientific Visual Question Answering via Vision-Caption aware Supervised Fine-Tuningcited by 3
  16. 2025Unveiling Instruction-Specific Neurons & Experts: An Analytical Framework for LLM's Instruction-Following Capabilitiescited by 2
  17. 2025Mis-prompt: Benchmarking Large Language Models for Proactive Error Handlingcited by 2
  18. 2026GeoSolver: Scaling Test-Time Reasoning in Remote Sensing with Fine-Grained Process Supervisioncited by 2
  19. 2025UniEDU: A Unified Language and Vision Assistant for Education Applicationscited by 1
  20. 2025MMRefine: Unveiling the Obstacles to Robust Refinement in Multimodal Large Language Modelscited by 1
  21. 2025From Perception to Reasoning: Deep Thinking Empowers Multimodal Large Language Modelscited by 1
  22. 2025FractalBench: Diagnosing Visual-Mathematical Reasoning Through Recursive Program Synthesiscited by 0
  23. 2026A Survey of Multimodal Mathematical Reasoning: From Perception, Alignment to Reasoningcited by 0
  24. 2026Can MLLMs Read Students' Minds? Unpacking Multimodal Error Analysis in Handwritten Mathcited by 0
  25. 2026MMPCBench: Benchmarking Multimodal Large Language Models on Proactive Critique of Flawed Inputscited by 0

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  2. 2026Improving Mathematical Reasoning Capabilities in Large Language Models via Reasoning Process Error Classification
  3. 2026Mathematical Reasoning in Large Language Models: Benchmarks, Architectures, Evaluation, and Open Challenges
  4. 2025Large Language Models and Mathematical Reasoning Failures
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  8. 2025UGMathBench: A Diverse and Dynamic Benchmark for Undergraduate-Level Mathematical Reasoning with Large Language Models