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, ...

Crows can recognize geometric patterns, suggesting that humans aren't unique in understanding shape structure.

A scientist from the University of Sharjah in the United Arab Emirates has arrived at a new method that may help craftsmen to simulate and produce immeasurable numbers of stunning patterns of ...

Researchers at University of Tsukuba have developed a noncontact vibration measurement method using an event camera, a sensing technology inspired by biological vision. By applying geometric analysis ...