Aleph Prover has announced the formalization of OpenAI's disproof of Paul Erdős's 'planar unit' problem. The entire source code has been open-sourced for community verification.
Lilian Weng's article analyzes the mathematical foundation of the Neural Tangent Kernel (NTK), explaining how over-parameterized neural networks efficiently converge during training.
Google DeepMind introduces the AI Co-Mathematician system to help mathematicians solve open research problems through collaboration between humans and AI agents.
The new 30B-A3B reasoning model achieves gold medal-equivalent performance in the IPhO and IMO exams, powered by a simple scaling recipe for proof search.
Renowned mathematician Terence Tao believes that AI will lead to a division of labor for the first time in the history of mathematics, where humans focus on conceptual ideas and AI handles formal proofs.
Google DeepMind has introduced AlphaProof Nexus, an agent framework that utilizes the Gemini model for formal mathematical proof search, successfully solving 9 open Erdős problems.
OpenAI CEO Sam Altman shared three areas where AGI will make breakthroughs: scientific research, business operations, and personal assistance, while also announcing an important result regarding the 'unit distance' problem.
An OpenAI reasoning model has just found a new solution to the 'planar unit distance problem', a famous open question since 1946 that mathematicians had been unable to solve.
