Wenhu Chen, Ming Yin, Max Ku, Pan Lu, Yixin Wan, Xueguang Ma, Jianyu Xu, Xinyi Wang, Tony Xia
The recent LLMs like GPT-4 and PaLM-2 have made tremendous progress in solving fundamental math problems like GSM8K by achieving over 90% accuracy. However, their capabilities to solve more challenging math problems which require domain-specific knowledge (i.e. theorem) have yet to be investigated. In this paper, we introduce TheoremQA, the first theorem-driven question-answering dataset designed to evaluate AI models' capabilities to apply theorems to solve challenging science problems. TheoremQA is curated by domain experts containing 800 high-quality questions covering 350 theorems (e.g. Taylor's theorem, Lagrange's theorem, Huffman coding, Quantum Theorem, Elasticity Theorem, etc) from Math, Physics, EE&CS, and Finance. We evaluate a wide spectrum of 16 large language and code models with different prompting strategies like Chain-of-Thoughts and Program-of-Thoughts. We found that GPT-4's capabilities to solve these problems are unparalleled, achieving an accuracy of 51% with Program-of-Thoughts Prompting. All the existing open-sourced models are below 15%, barely surpassing the random-guess baseline. Given the diversity and broad coverage of TheoremQA, we believe it can be used as a better benchmark to evaluate LLMs' capabilities to solve challenging science problems. The data and code are released in https://github.com/wenhuchen/TheoremQA.
| Task | Dataset | Metric | Value | Model |
|---|---|---|---|---|
| General Knowledge | TheoremQA | Accuracy | 52.4 | GPT-4 (PoT) |
| General Knowledge | TheoremQA | Accuracy | 43.8 | GPT-4 (CoT) |
| General Knowledge | TheoremQA | Accuracy | 35.6 | GPT-3.5-turbo (PoT) |
| General Knowledge | TheoremQA | Accuracy | 31.8 | PaLM-2-unicorn (CoT) |
| General Knowledge | TheoremQA | Accuracy | 30.2 | GPT-3.5-turbo (CoT) |
| General Knowledge | TheoremQA | Accuracy | 25.9 | Claude-v1 (PoT) |
| General Knowledge | TheoremQA | Accuracy | 24.9 | Claude-v1 (CoT) |
| General Knowledge | TheoremQA | Accuracy | 23.9 | code-davinci-002 |
| General Knowledge | TheoremQA | Accuracy | 23.6 | Claude-instant (CoT) |
| General Knowledge | TheoremQA | Accuracy | 22.8 | text-davinci-003 |
| General Knowledge | TheoremQA | Accuracy | 21 | PaLM-2-bison (CoT) |