Our method relies on hyperbolic geometry, diffusion geometry, and the Earth Mover’s Distance (EMD). Specifically, our method embeds data points into a product manifold of hyperbolic spaces, allowing ...

For instance, the inventor of Pringles, Fredric J. Baur, also invited the unique can. He spent two years designing the hyperbolic paraboloid shape—a mathematically engineered curve that makes the ...

Main purpose of the GeometRi library is manipulations with basic geometrical primitives, such as point, line, plane, sphere, triangle in 3D space: translation and rotation operations, distance ...

Chinese mathematician Wang Hong has solved an “infamous” geometry problem called the Kakeya conjecture within three dimensions. It is considered a breakthrough that could have implications for ...

Once you understand how certain clouds develop their shapes, you can learn to forecast the weather. Clouds that look like cartoon cotton balls or cauliflower are made up of tiny liquid water ...

Mirzakhani was an influential cartographer of the hyperbolic universe. While still in graduate school, she developed groundbreaking techniques that allowed her to start cataloging these shapes, before ...

particularly in defining spectral graph convolution and enabling message passing within the hyperbolic geometry. To address these challenges, we propose the hyperbolic graph wavelet neural network ...

The T-1000 in Terminator 2 could change shape at will, morph its hands into blades or turn parts of its body into a fluid to move through metal bars. “I saw this movie when I was a child—it ...