TheoremQA: A Theorem-driven Question Answering dataset

21 May 2023  ·  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.

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Datasets


Introduced in the Paper:

TheoremQA

Used in the Paper:

GSM8K ASDiv Lila

Results from the Paper


Task Dataset Model Metric Name Metric Value Global Rank Result Benchmark
Natural Questions TheoremQA GPT-4 (PoT) Accuracy 52.4 # 1
Natural Questions TheoremQA GPT-3.5-turbo (CoT) Accuracy 30.2 # 5
Natural Questions TheoremQA Claude-instant (CoT) Accuracy 23.6 # 9
Natural Questions TheoremQA PaLM-2-bison (CoT) Accuracy 21.0 # 11
Natural Questions TheoremQA text-davinci-003 Accuracy 22.8 # 10
Natural Questions TheoremQA code-davinci-002 Accuracy 23.9 # 8
Natural Questions TheoremQA Claude-v1 (CoT) Accuracy 24.9 # 7
Natural Questions TheoremQA Claude-v1 (PoT) Accuracy 25.9 # 6
Natural Questions TheoremQA PaLM-2-unicorn (CoT) Accuracy 31.8 # 4
Natural Questions TheoremQA GPT-3.5-turbo (PoT) Accuracy 35.6 # 3
Natural Questions TheoremQA GPT-4 (CoT) Accuracy 43.8 # 2

Methods