Debates over how geometry is understood and learned date back at least to the days of Plato, with more recent scholars concluding that only humans possess the foundations of this understanding.

Python isn’t just for coding—it’s a powerful ally for solving complex mathematical problems. From symbolic algebra to simulations and optimization, its libraries turn abstract concepts into practical ...

Home security systems are divided between DIY and kits that required a professional to visit your home. Here's what that means for your wallet. Tyler has worked on, lived with and tested all types of ...

A Chinese artificial intelligence framework has autonomously resolved an open problem proposed more than a decade ago by a US mathematician, according to the Peking University-led team that developed ...

Introduction The AI landscape continues to evolve at a breakneck pace, with each new model promising sharper reasoning, ...

On-policy distillation (OPD) has become a core technique in the post-training of large language models, yet its training dynamics remain poorly understood. This paper provides a systematic ...

Label-free reinforcement learning for LLMs typically adopts majority voting to generate pseudo-labels, but suffers from a consensus trap—output diversity collapses during training, leading the model ...