Abstract: This paper presents a framework of deep cross-modal learning networks for solving geometry problems. Existing geometry solvers either focus on single-modal problems or multi-modal problems, ...

Abstract: We present a new transformation for angle vertex and bisector detection. The vertex and bisector transformation (VBT) takes the image gradient as input and outputs two arrays, accumulating ...

In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...

The Pythagorean theorem, a cornerstone of mathematics for millennia, provides a method for determining unknown sides in right-angled triangles using the formula a² + b² = c². Its applications extend ...

AG2 is not merely a pattern recognition tool, but a system that combines logic and creativity. This innovative approach makes it stand out from other AI systems. Unlike Microsoft's rStar-Math, ...

In a breakthrough leap for artificial intelligence (AI), Google’s AlphaGeometry2 has beaten human gold medalists at the renowned International Mathematical Olympiad (IMO). The math solver AI solved 84 ...

Google DeepMind has developed an artificial intelligence system that can solve complex geometry problems better than top human minds. Named AlphaGeometry2 (AG2), the AI has outshined International ...

Google’s AlphaGeometry2 AI system, developed by DeepMind, solves geometry problems at a level beyond top human competitors. Credit: Alpha Photo / CC BY-NC 2.0 Google scientists have developed a ...

Artificial intelligence has long been trying to mimic human-like logical reasoning. While it has made massive progress in pattern recognition, abstract reasoning and symbolic deduction have remained ...