Mathematicians are stunned at the progress AI is making in solving advanced problems, leaving some questioning whether there ...

Topics range from the exploration of extraterrestrial life to the paper applications of the future / Approximately €170 million in funding for the first funding period ...

Penn Engineers have developed an open-source algorithm that combines the speed of AI with the precision of geometry to ...

FireANTS combines AI and geometry to match features in dense images faster and more accurately, with potential applications in fields like radiology. Penn Engineers have developed an open-source ...

Artificial intelligence is mastering the kinds of projects that have long helped to build the careers of young mathematicians ...

In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...

Scientists have cracked a mathematical puzzle, completing a theoretical framework for understanding how humans perceive ...

Our universe appears flat—but this observation still leaves plenty of options for its true shape. In fact, our cosmos could resemble a donut ...

Abstract: We analyze deep neural networks using the theory of Riemannian geometry and curvature. The objective is to gain insight into how Riemannian geometry can characterize and predict the trained ...

Numbers like pi, e and phi often turn up in unexpected places in science and mathematics. Pascal's triangle and the Fibonacci sequence also seem inexplicably widespread in nature. Then there's the ...

Abstract: Objective: This paper tackles the problem of transfer learning in the context of electroencephalogram (EEG)-based brain-computer interface (BCI) classification. In particular, the problems ...