In case you wonder how an #AlphaGeometry solution looks like, check out the full solution (109 step!) here. In this IMO 2015, problem #3, the symbolic component asked for help from the neural language models 3 times (the auxiliary constructions in blue) before succeeding 🙂
@lmthang
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Google DeepMind’s AlphaGeometry breakthrough thread
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Lastly, checkout @GoogleDeepMind's thread on #AlphaGeometry https://t.co/bjNd1xoGmr
— Thang Luong (@lmthang) 17 janvier 2024Lastly, checkout @GoogleDeepMind
's thread on #AlphaGeometry -
AlphaGeometry Thread Discussion on Mathematical AI Systems
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See also @quocleix
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AlphaGeometry Video: Breakthrough in AI Geometry Problem-Solving
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That's it for now! Check out @thtrieu_
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AlphaGeometry Solves IMO Geometry Problems at Gold Medalist Level
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On a test set of 30 IMO geometry problems from the years 2000-2022, #AlphaGeometry can solve 25 problems. This is approaching that of the average human gold medalists with 25.9 and surpasses the previous state-of-the-art system, which can only solve 10, by a large margin! (Note
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Synthetic Mathematical Proofs Discovery Through AI Analysis
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Here is a closer look at our synthetic data ordered by proof lengths. We can see that trivial and well-known theorems, such as the Euler circle, were re-discovered. Out of 100M examples, there are 9M with auxiliary constructions or the "insights". Some examples have very long
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Synthetic Data Generation Using 100K CPU Workers
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These are examples of the random diagrams that we start off with for our synthetic data generation. We use 100K CPU workers to generate one billion random diagrams, then run symbolic deduction and traceback for 3-4 days. After deduplication and filtering by "interestingness", we
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Synthetic Data Generation for Olympiad-Level Mathematical AI Training
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The lack of training data for maths, especially those at the Olympiad level, motivated us to generate everything synthetically. Key to this process is the idea of "symbolic deduction and traceback". We start from random diagrams, try to find all properties through forward
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AlphaGeometry Neuro-Symbolic Architecture: System 1 and System 2
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This is the neuro-symbolic architecture of #AlphaGeometry. Similar to System1 and System 2, in the book "Thinking, fast and slow", the symbolic engine will first take a crack at the problem mechanically; if it gets stuck it will ask the neural language model for suggestions of
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AlphaGeometry: DeepMind’s AI Solves Olympiad Geometry Problems
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Super thrilled to share our latest work, AlphaGeometry from @GoogleDeepMind , the first AI system ever approaching the IMO gold medalists in solving Olympiad geometry math problems. Published today at Nature, titled “Solving olympiad geometry without human demonstrations”, our… pic.twitter.com/jWghK2M2OD
— Thang Luong (@lmthang) 17 janvier 2024Super thrilled to share our latest work, AlphaGeometry from @GoogleDeepMind , the first AI system ever approaching the IMO gold medalists in solving Olympiad geometry math problems. Published today at Nature, titled “Solving olympiad geometry without human demonstrations”, our
