Reducing redundant information to find simplifying patterns in data sets and complex networks is a scientific challenge in many knowledge fields. Moreover, detecting the dimensionality of the data is ...

Recent breakthroughs in artificial intelligence have uncovered surprising geometric structures within large language models (LLMs) like ChatGPT. These findings offer a new perspective on how these ...

A mathematician has developed a new way to uncover simple patterns that might underlie apparently complex systems, such as clouds, cracks in materials or the movement of the stockmarket. The method, ...

Utrecht University researchers Rodolfo Subert and Marjolein Dijkstra show in their latest study that complex three-dimensional networks in materials can emerge from nothing more than particle shape.

For more than a century, scientists have treated chemistry as the master key to building new materials, tuning bonds and charges to coax atoms into useful patterns. A new wave of research is quietly ...