Summary of Proposing and Solving Olympiad Geometry with Guided Tree Search, by Chi Zhang et al.
Proposing and solving olympiad geometry with guided tree search
by Chi Zhang, Jiajun Song, Siyu Li, Yitao Liang, Yuxi Ma, Wei Wang, Yixin Zhu, Song-Chun Zhu
First submitted to arxiv on: 14 Dec 2024
Categories
- Main: Artificial Intelligence (cs.AI)
- Secondary: Machine Learning (cs.LG)
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| Summary difficulty | Written by | Summary |
|---|---|---|
| High | Paper authors | High Difficulty Summary Read the original abstract here |
| Medium | GrooveSquid.com (original content) | Medium Difficulty Summary A novel artificial intelligence system, TongGeometry, is introduced for proposing and solving Euclidean geometry theorems. This system utilizes tree-search-based guided problem proposing and solving to discover 6.7 billion geometry theorems, including 4.1 billion exhibiting geometric symmetry. Compared to existing state-of-the-art systems, TongGeometry surpasses gold medalists in solving International Mathematical Olympiad (IMO) geometry problems for the first time. Furthermore, it demonstrates its capabilities by outperforming existing systems across a broader spectrum of olympiad-level problems. The system’s fine-tuned large language models enable it to act as a “geometry coach,” discovering, presenting, and proving theorems. With the ability to run on consumer-grade machines, TongGeometry has the potential to democratize access to geometry problem proposing and solving. |
| Low | GrooveSquid.com (original content) | Low Difficulty Summary TongGeometry is an AI system that helps with math problems. It can find and solve many different types of geometry problems. This is a big deal because it’s very hard to make a computer do this on its own. TongGeometry can even come up with new math problems for students to solve, just like a teacher would. It’s able to do all of this by using special algorithms and learning from lots of examples. The system is so good that it even beat some really smart people who were trying to solve the same math problems! |
