AlphaGeometry from Google DeepMind

An AI system that solves Olympiad geometry problems at a level approaching a human gold-medalist. 📐 It was trained solely on synthetic data and marks a breakthrough for AI in mathematical reasoning.

AlphaGeometry, developed by Google DeepMind, is an AI system designed to solve Olympiad-level geometry problems, achieving performance comparable to human gold-medalists. Trained entirely on 100 million synthetic data examples, it combines a neural language model for intuitive pattern recognition with a symbolic deduction engine for rigorous reasoning. This neuro-symbolic approach enables AlphaGeometry to tackle complex geometry theorems by predicting and adding necessary constructs, such as points or lines, to diagrams. In benchmark tests, AlphaGeometry solved 25 out of 30 Olympiad problems, surpassing previous AI systems and nearing human expert performance. Its solutions are both machine-verifiable and human-readable, showcasing a significant leap in AI's mathematical reasoning capabilities. By open-sourcing its code, AlphaGeometry aims to advance research in AI, mathematics, and beyond, paving the way for more general and sophisticated problem-solving systems.