Abstract: Under the linear spectral mixture model, hyperspectral unmixing can be considered as a convex geometry problem, in which the endmembers are located in the vertices of simplex enclosing 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 ...

The phase sector (U(1)) cannot generate the lepton mass hierarchy: the simplex isotropy theorem guarantees that all three tetrahedral cross-section planes see identical K_eff (LT-215, FALSIFIED). Mass ...

Level 1 of 3 · the shared message. This section is identical in every repository of this system. Level 3 of 3 · what this one is. HUF (Higgins Unity Framework) is the experimental origin, governance ...

As an emerging technology in the field of artificial intelligence (AI), graph neural networks (GNNs) are deep learning models designed to process graph-structured data. Currently, GNNs are effective ...

Abstract: High penetration of renewable energy generation (REG) presents severe uncertainties for power system operation. It is critical to quantify the accommodation level of REG in the nonlinear ...

The original version of this story appeared in Quanta Magazine. In 1939, upon arriving late to his statistics course at UC Berkeley, George Dantzig—a first-year graduate student—copied two problems ...

For over 5 years, Arthur has been professionally covering video games, writing guides and walkthroughs. His passion for video games began at age 10 in 2010 when he first played Gothic, an immersive ...

The leading approach to the simplex method, a widely used technique for balancing complex logistical constraints, can’t get any better. In 1939, upon arriving late to his statistics course at the ...

HSV-1, which is transmitted through oral secretions or sores on the skin, can be spread through kissing or sharing objects such as toothbrushes or eating utensils. In general, a person can only get ...