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8 months ago
AI Solves Advanced Geometry from Math Competitions
Google's DeepMind has created an AI program named AlphaGeometry that can figure out difficult geometry questions, like those from the International Mathematical Olympiad (IMO).
This is a big step forward in making machines think more like humans.
AlphaGeometry was given 30 geometry problems from the IMO to solve, and it managed to work out 25 of them.
This level of performance is almost as good as a top human competitor in the IMO.
The program uses a mix of a neural language model that comes up with smart guesses and a symbolic deduction engine that checks these guesses using strict logic and geometry rules.
When faced with a geometry problem, AlphaGeometry first tries to find a solution using its logic engine. If it gets stuck, the language model adds a new point or line to the picture, giving the logic engine more options to find an answer.
To develop AlphaGeometry, the team made a special language loaded with basic geometry rules. They then created a program that made 100 million 'proofs'. These were essentially random steps that were logically correct. AlphaGeometry learned from these machine-made proofs, figuring out problems step by step.
This AI outperforms earlier methods for solving geometry problems and shows a leap in how AI can reason in math.
Even with its success, the researchers recognize some issues, like making the solutions easier for humans to understand and adapting the system for even more complex problems.
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