Logo MATH-Vision

Measuring Multimodal Mathematical Reasoning

NeurIPS DB Track, 2024

geometric reasoning

[2024-05-20] (a) Zero-shot accuracies of four prominent Large Multimodal Models (LMMs), random chance, and human performance are evaluated on our proposed MATH-V across 16 subjects. Teal means newly introduced subjects. (b) Examples of easy problems in MATH-V failed by top-performing LMMs on MathVista. The three questions come from tests designed for elementary school students.

geometric reasoning

[2024-02-21] The accuracies of four prominent Large Multimodal Models (LMMs), random chance, and human performance are evaluated on our proposed MATH-Vision (MATH-V) across 16 subjects and 5 levels of difficulty, with Level 1 being the easiest and Level 5 the most challenging. Human performance is assessed using the testmini subset.

Introduction

Recent advancements in Large Multimodal Models (LMMs) have shown promising results in mathematical reasoning within visual contexts, with models approaching human-level performance on existing benchmarks such as MathVista. However, we observe significant limitations in the diversity of questions and breadth of subjects covered by these benchmarks.

To address this issue, we present the Logo MATH-Vision dataset, a meticulously curated collection of 3,040 high-quality mathematical problems with visual contexts sourced from real math competitions. Spanning 16 distinct mathematical disciplines and graded across 5 levels of difficulty, our dataset provides a comprehensive and diverse set of challenges for evaluating the mathematical reasoning abilities of LMMs.

Through extensive experimentation, we unveil a notable performance gap between current LMMs and human performance on MATH-V, underscoring the imperative for further advancements in LMMs. Moreover, our detailed categorization allows for a thorough error analysis of LMMs, offering valuable insights to guide future research and development.

Official Leaderboard

Accuracy scores on the test set (3,040 examples) of Logo MATH-Vision.

🚨 To submit your results to the leaderboard, please send to this email with your results in this format.
(The format template is on GitHub. If the download fails, please check your network.)

# Model Source Date ALL Alg AnaG Ari CombG Comb Cnt DescG GrphT Log Angle Area Len SolG Stat Topo TransG
0 Human Link 2024-04-05 68.82 55.1 78.6 99.6 98.4 43.5 98.5 91.3 62.2 61.3 33.5 47.2 73.5 87.3 93.1 99.8 69.0
1 Gemini 2.5 Pro 🥇 Link 2025-03-23 73.3 - - - - - - - - - - - - - - - -
2 Seed1.5-VL 🥈 Link 2025-05-12 68.7 - - - - - - - - - - - - - - - -
3 OpenAI o1 🥉 Link 2025-04-10 60.30 - - - - - - - - - - - - - - - -
4 Step R1-V-Mini Link 2025-04-05 56.6 58.0 64.3 62.9 43.2 53.6 28.4 33.7 34.4 56.3 66.5 65.8 69.3 53.3 58.6 30.4 46.4
5 SenseNova V6 Reasoner Link 2025-04-10 55.39 - - - - - - - - - - - - - - - -
6 Kimi k1.6 Preview Link 2025-03-08 53.29 63.19 54.76 66.43 37.34 51.79 35.82 22.12 34.44 59.66 57.23 57.80 67.04 47.95 55.17 17.39 41.67
7 Skywork-R1V2-38B Link 2025-04-28 49.7 52.6 47.4 73.7 42.1 52.6 36.8 15.8 57.9 73.7 63.2 73.7 57.9 47.4 47.4 21.1 31.6
8 Doubao-1.5-pro Link 2025-02-28 48.62 55.07 52.38 63.57 34.74 36.90 43.28 25.00 27.78 37.82 62.43 55.40 59.69 43.85 55.17 26.09 37.50
9 GPT-4.5 Link 2025-04-10 47.30 - - - - - - - - - - - - - - - -
10 VL-Rethinker-72B Link 2025-03-25 44.93 49.0 48.8 59.3 35.4 33.9 22.4 24.0 32.2 42.9 56.1 50.0 52.8 41.0 65.5 30.4 34.5
11 INFRL-Qwen2.5-VL-72B-Preview Link 2025-03-25 42.73 49.3 42.9 59.3 31.8 32.7 32.8 22.1 27.8 41.2 54.3 47.6 48.1 38.9 56.9 26.1 33.3
12 Gemini-2 Flash Link 2025-02-05 41.3 - - - - - - - - - - - - - - - -
13 Kimi k1.5 Link 2025-01-22 38.6 - - - - - - - - - - - - - - - -
14 Qwen2.5-VL-72B Link 2025-01-26 38.1 - - - - - - - - - - - - - - - -
15 Claude3.5-Sonnet Link 2024-06-21 37.99 - - - - - - - - - - - - - - - -
16 Kimi-VL-A3B-Thinking Link 2025-04-11 36.8 - - - - - - - - - - - - - - - -
17 QvQ-72B-Preview Link 2024-12-25 35.9 - - - - - - - - - - - - - - - -
18 GPT-4o Link 2024-05-19 30.39 42.0 39.3 49.3 28.9 25.6 22.4 24.0 23.3 29.4 17.3 29.8 30.1 29.1 44.8 34.8 17.9
19 GPT-4 Turbo Link 2024-05-19 30.26 37.7 33.3 46.4 25.0 28.6 25.3 15.4 27.8 31.9 30.6 29.0 31.9 28.7 37.9 17.4 23.2
20 Claude3-Opus Link 2024-05-04 27.13 - - - - - - - - - - - - - - - -
21 MathCoder-VL-8B Link 2025-02-16 26.1 18.6 32.1 26.4 25.0 10.7 13.4 20.2 14.4 21.0 48.6 32.2 32.1 23.0 29.3 8.7 23.2
22 Qwen2-VL-72B Link 2024-08-29 25.9 - - - - - - - - - - - - - - - -
23 Qwen2.5-VL-7B Link 2025-01-26 25.1 - - - - - - - - - - - - - - - -
24 TBAC-VLR1-3B-preview Link 2025-04-21 25.0 22.0 29.8 32.1 19.5 18.5 16.4 22.1 11.1 25.2 39.3 27.6 28.5 22.9 34.5 17.4 22.0
25 CoT GPT4V Link 2024-02-21 23.98 26.7 26.2 38.6 22.1 24.4 19.4 27.9 23.3 25.2 17.3 21.4 23.4 23.8 25.9 4.4 25.6
26 GPT4V Link 2024-02-21 22.76 27.3 32.1 35.7 21.1 16.7 13.4 22.1 14.4 16.8 22.0 22.2 20.9 23.8 24.1 21.7 25.6
27 MathCoder-VL-2B Link 2025-02-16 21.7 15.7 17.9 17.1 19.2 11.3 14.9 26.9 14.4 16.8 38.2 25.4 26.9 15.6 36.2 8.7 25.0
28 Qwen2.5-VL-3B Link 2025-01-26 21.2 - - - - - - - - - - - - - - - -
29 Gemini-1.5 Pro Link 2024-05-17 19.24 20.3 35.7 34.3 19.8 15.5 20.9 26.0 26.7 22.7 14.5 14.4 16.5 18.9 10.3 26.1 17.3
30 Ovis1.6-Gemma2-9B Link 2024-09-19 18.78 13.3 15.5 22.1 17.9 11.3 22.4 23.1 20.0 20.2 20.8 18.0 24.7 15.6 20.7 17.4 20.8
31 Gemini Pro Link 2024-02-21 17.66 15.1 10.7 20.7 20.1 11.9 7.5 20.2 21.1 16.8 19.1 19.0 20.0 14.3 13.8 17.4 20.8
32 InternVL-Chat-V1-2-Plus Link 2024-02-22 16.97 11.3 25.0 15.7 16.9 10.1 11.9 16.4 15.6 19.3 22.5 16.4 22.5 14.3 17.2 4.4 20.8
33 Qwen2-VL-7B Link 2024-08-29 16.3 - - - - - - - - - - - - - - - -
34 Math-LLaVA-13B Link 2024-06-26 15.69 9.0 20.2 15.7 18.2 10.1 10.5 16.4 14.4 16.0 20.2 18.4 17.6 9.4 24.1 21.7 17.9
35 Qwen-VL-Max Link 2024-02-21 15.59 10.7 19.1 20.0 16.9 12.5 17.9 16.4 12.2 21.0 13.3 14.2 19.8 11.5 20.7 13.0 17.3
36 InternLM-XComposer2-VL Link 2024-02-21 14.54 9.3 15.5 12.1 15.3 11.3 10.5 14.4 22.2 19.3 19.7 15.6 15.0 11.9 15.5 26.1 15.5
37 GPT 4-CoT (caption) Link 2024-02-21 13.10 16.5 20.2 34.3 10.4 17.9 19.4 7.7 11.1 10.1 9.8 9.6 9.1 13.5 13.8 8.7 12.5
38 Qwen2-VL-2B Link 2024-08-29 12.4 - - - - - - - - - - - - - - - -
39 ShareGPT4V-13B Link 2024-02-21 11.88 7.5 15.5 16.4 10.7 8.9 9.0 11.5 8.9 7.6 11.6 13.0 17.4 10.3 8.6 8.7 12.5
40 LLaVA-v1.5-13B Link 2024-02-21 11.12 7.0 14.3 14.3 9.1 6.6 6.0 13.5 5.6 13.5 10.4 12.6 14.7 11.5 13.8 13.0 10.7
41 Qwen-VL-Plus Link 2024-02-21 10.72 11.3 17.9 14.3 12.7 4.8 10.5 15.4 8.9 14.3 11.6 6.4 10.0 14.3 6.9 8.7 11.31
42 ShareGPT4V-7B Link 2024-02-21 10.53 5.5 3.6 12.9 10.1 4.8 7.5 11.5 14.4 10.9 16.2 11.8 12.3 9.8 15.5 17.4 11.3
43 SPHINX (V2) Link 2024-02-21 9.70 6.7 7.1 12.9 7.5 7.7 6.0 9.6 16.7 10.1 11.0 11.8 12.5 8.2 8.6 8.7 6.0
44 LLaVA-v1.5-7B Link 2024-02-21 8.52 7.0 7.1 10.7 7.1 4.8 10.5 7.7 10.0 9.2 15.6 10.2 9.8 5.3 8.6 4.4 4.8
45 Random Chance Link 2024-02-21 7.17 1.5 11.9 7.1 9.7 4.8 6.0 22.1 1.1 7.6 0.6 9.4 6.7 8.2 8.6 13.0 7.1
Human*: Average human performance from annotators who have high school diplomas or above.
Subjects: Alg: algebra, AnaG: analytic geometry, Ari: arithmetic, CombG: combinatorial geometry,
Comb: combinatorics, Cnt: counting, DescG: descriptive geometry, GrphT: graph theory, Log: logic,
Angle: metric geometry - angle, Area: metric geometry - area, Len: metric geometry-length,
SolG: solid geometry, Stat: statistics, Topo: topology, TransG: transformation geometry.

Open Source Leaderboard

Accuracy scores on the test set (3,040 examples) of Logo MATH-Vision.

🚨 To submit your results to the leaderboard, please send to this email with your results in this format.
(The format template is on GitHub. If the download fails, please check your network.)

# Model Source Date ALL Alg AnaG Ari CombG Comb Cnt DescG GrphT Log Angle Area Len SolG Stat Topo TransG
0 Human Link 2024-04-05 68.82 55.1 78.6 99.6 98.4 43.5 98.5 91.3 62.2 61.3 33.5 47.2 73.5 87.3 93.1 99.8 69.0
1 Skywork-R1V2-38B Link 2025-04-28 49.7 52.6 47.4 73.7 42.1 52.6 36.8 15.8 57.9 73.7 63.2 73.7 57.9 47.4 47.4 21.1 31.6
2 VL-Rethinker-72B Link 2025-03-25 44.93 49.0 48.8 59.3 35.4 33.9 22.4 24.0 32.2 42.9 56.1 50.0 52.8 41.0 65.5 30.4 34.5
3 INFRL-Qwen2.5-VL-72B-Preview Link 2025-03-25 42.73 49.3 42.9 59.3 31.8 32.7 32.8 22.1 27.8 41.2 54.3 47.6 48.1 38.9 56.9 26.1 33.3
4 Qwen2.5-VL-72B Link 2025-01-26 38.1 - - - - - - - - - - - - - - - -
5 Kimi-VL-A3B-Thinking Link 2025-04-11 36.8 - - - - - - - - - - - - - - - -
6 QvQ-72B-Preview Link 2024-12-25 35.9 - - - - - - - - - - - - - - - -
7 MathCoder-VL-8B Link 2025-02-16 26.1 18.6 32.1 26.4 25.0 10.7 13.4 20.2 14.4 21.0 48.6 32.2 32.1 23.0 29.3 8.7 23.2
8 Qwen2-VL-72B Link 2024-08-29 25.9 - - - - - - - - - - - - - - - -
9 Qwen2.5-VL-7B Link 2025-01-26 25.1 - - - - - - - - - - - - - - - -
10 TBAC-VLR1-3B-preview Link 2025-04-21 25.0 22.0 29.8 32.1 19.5 18.5 16.4 22.1 11.1 25.2 39.3 27.6 28.5 22.9 34.5 17.4 22.0
11 MathCoder-VL-2B Link 2025-02-16 21.7 15.7 17.9 17.1 19.2 11.3 14.9 26.9 14.4 16.8 38.2 25.4 26.9 15.6 36.2 8.7 25.0
12 Qwen2.5-VL-3B Link 2025-01-26 21.2 - - - - - - - - - - - - - - - -
13 Ovis1.6-Gemma2-9B Link 2024-09-19 18.78 13.3 15.5 22.1 17.9 11.3 22.4 23.1 20.0 20.2 20.8 18.0 24.7 15.6 20.7 17.4 20.8
14 InternVL-Chat-V1-2-Plus Link 2024-02-22 16.97 11.3 25.0 15.7 16.9 10.1 11.9 16.4 15.6 19.3 22.5 16.4 22.5 14.3 17.2 4.4 20.8
15 Qwen2-VL-7B Link 2024-08-29 16.3 - - - - - - - - - - - - - - - -
16 Math-LLaVA-13B Link 2024-06-26 15.69 9.0 20.2 15.7 18.2 10.1 10.5 16.4 14.4 16.0 20.2 18.4 17.6 9.4 24.1 21.7 17.9
17 InternLM-XComposer2-VL Link 2024-02-21 14.54 9.3 15.5 12.1 15.3 11.3 10.5 14.4 22.2 19.3 19.7 15.6 15.0 11.9 15.5 26.1 15.5
18 Qwen2-VL-2B Link 2024-08-29 12.4 - - - - - - - - - - - - - - - -
19 ShareGPT4V-13B Link 2024-02-21 11.88 7.5 15.5 16.4 10.7 8.9 9.0 11.5 8.9 7.6 11.6 13.0 17.4 10.3 8.6 8.7 12.5
20 LLaVA-v1.5-13B Link 2024-02-21 11.12 7.0 14.3 14.3 9.1 6.6 6.0 13.5 5.6 13.5 10.4 12.6 14.7 11.5 13.8 13.0 10.7
21 ShareGPT4V-7B Link 2024-02-21 10.53 5.5 3.6 12.9 10.1 4.8 7.5 11.5 14.4 10.9 16.2 11.8 12.3 9.8 15.5 17.4 11.3
22 SPHINX (V2) Link 2024-02-21 9.70 6.7 7.1 12.9 7.5 7.7 6.0 9.6 16.7 10.1 11.0 11.8 12.5 8.2 8.6 8.7 6.0
23 LLaVA-v1.5-7B Link 2024-02-21 8.52 7.0 7.1 10.7 7.1 4.8 10.5 7.7 10.0 9.2 15.6 10.2 9.8 5.3 8.6 4.4 4.8
24 Random Chance Link 2024-02-21 7.17 1.5 11.9 7.1 9.7 4.8 6.0 22.1 1.1 7.6 0.6 9.4 6.7 8.2 8.6 13.0 7.1
Human*: Average human performance from annotators who have high school diplomas or above.
Subjects: Alg: algebra, AnaG: analytic geometry, Ari: arithmetic, CombG: combinatorial geometry,
Comb: combinatorics, Cnt: counting, DescG: descriptive geometry, GrphT: graph theory, Log: logic,
Angle: metric geometry - angle, Area: metric geometry - area, Len: metric geometry-length,
SolG: solid geometry, Stat: statistics, Topo: topology, TransG: transformation geometry.

Logo MATH-V Dataset

data-overview

Key statistics of MATH-V

data-composition

Comparison of the level distribution between our
MATH-V and the MATH dataset.

Logo Distribution

levels, subjects and sources distribution of MATH-V.

Logo Visualization

Logo Some Images from 16 Subjects

BibTeX

@inproceedings{
wang2025mathcodervl,
title={MathCoder-{VL}: Bridging Vision and Code for Enhanced Multimodal Mathematical Reasoning},
author={Ke Wang and Junting Pan and Linda Wei and Aojun Zhou and Weikang Shi and Zimu Lu and Han Xiao and Yunqiao Yang and Houxing Ren and Mingjie Zhan and Hongsheng Li},
booktitle={The 63rd Annual Meeting of the Association for Computational Linguistics},
year={2025},
url={https://openreview.net/forum?id=nuvtX1imAb}
}
@inproceedings{
wang2024measuring,
title={Measuring Multimodal Mathematical Reasoning with MATH-Vision Dataset},
author={Ke Wang and Junting Pan and Weikang Shi and Zimu Lu and Houxing Ren and Aojun Zhou and Mingjie Zhan and Hongsheng Li},
booktitle={The Thirty-eight Conference on Neural Information Processing Systems Datasets and Benchmarks Track},
year={2024},
url={https://openreview.net/forum?id=QWTCcxMpPA}
}

Acknowledgement

We would like to thank MathVista for this website, which is adapted from Nerfies, licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.