AlphaGeometry: An AI System for Geometry Problems
AlphaGeometry is an artificial intelligence (AI) system that solves complex geometry problems at a level approaching a human Olympiad gold-medalist. It surpasses the state-of-the-art approach in geometry, advancing AI reasoning in mathematics.
The AI system combines the predictive power of a neural language model with a rule-bound deduction engine to find solutions. This unique combination enables AlphaGeometry to reason logically and discover new knowledge. The system is trained using a vast pool of synthetic training data – 100 million unique examples – generated through a method that emulates human learning.
AlphaGeometry’s performance was benchmarked against the International Mathematical Olympiad (IMO) geometry problems. In a test of 30 Olympiad geometry problems, AlphaGeometry solved 25 within the standard Olympiad time limit. This is comparable to the average human gold medalist who solved 25.9 problems.
The AI system’s language model guides its symbolic deduction engine towards likely solutions to geometry problems. The language model predicts which new constructs would be most useful to add, helping fill in gaps and allowing the symbolic engine to make further deductions about the diagram and close in on the solution.
AlphaGeometry’s ability to generate synthetic data examples emulates human learning processes, enabling training without any human demonstrations. This approach could shape how AI systems of the future discover new knowledge, not only in math but also beyond.
The system is open-sourced, and its code and model are available for others to use and build upon. This milestone demonstrates AI’s growing ability to reason logically and develop deep mathematical reasoning, paving the way for more advanced and general AI systems.
Source: https://deepmind.google/discover/blog/alphageometry-an-olympiad-level-ai-system-for-geometry/