Artificial intelligence systems based on neural networks—such as ChatGPT, Claude, DeepSeek or Gemini—are extraordinarily ...

Harvard physicists have developed a simplified mathematical model to better understand neural network learning, likening the effort to Kepler’s early planetary laws. Meanwhile, OpenPencil has launched ...

Recent years have seen an explosion in the use of mathematical models to integrate insights emerging from studies of the brain and behavior. This approach has been used to develop new theoretical ...

Researchers have demonstrated that self-organization of neurons as they 'learn' follows a mathematical theory called the free energy principle. The principle accurately predicted how real neural ...

Mathematical models have become an integral part of cancer biology. They are useful tools for deriving a mechanistic understanding of dynamic processes in cancer. The somatic evolutionary process, ...

An international collaboration between researchers at the RIKEN Center for Brain Science (CBS) in Japan, the University of Tokyo, and University College London has demonstrated that self-organization ...

At the frontiers of theoretical physics, many of the most popular ideas have one thing in common: they begin from a mathematical framework that seeks to explain more things than our currently ...