On June 10, 1854, Georg Friedrich Bernhard Riemann gave his classic lecture on curved space. [‘On This Day in Space’ Video ...
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 ...
As the world becomes more digitalized, we find ourselves moving away from traditional pen and paper note-taking and toward secure encrypted note-taking apps. For those who value privacy and security, ...
Whether you have pages of details for a work or school project, artificial intelligence can help you organize, summarize, and leverage your ideas more efficiently. These are the AI-infused note-taking ...
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 ...
Three mathematicians just proved a famous 30-year-old conjecture in geometry, with only a tiny assist from AI. The conjecture says that even within enormous, scattered and chaotic assemblages of ...
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 ...
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 ...