Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

The team has improved the capabilities of physics-informed neural networks (PINNs), a type of artificial intelligence that incorporates physical laws into the learning process. Researchers from the ...

Abstract: In this work, we propose a complex-valued neural operator (CV-NeuralOp) based on graph neural networks (GNN) to solve 2D wave equation. Inspired by the Green’s function method for solving ...

What began as an art of folding paper is now reshaping technology. This film explores how origami is transforming modern engineering. Missing this one pay date may be too much for Trump, Congress to ...

There are tough problems that every business faces, and they can slow things down, make budgets stretch, or put off decisions. It takes time to deal with these problems, and most businesses don’t have ...

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It can take years for humans to solve complex scientific problems. With AI, it can take a fraction of the time. Dr. Shuiwang Ji, a professor in the Department of Computer Science and Engineering at ...

If one has a set of observables (z1, ··· , zm) which are bound in a relation with certain parameters (a1, ··· , an) by an equation &zgr;(z1, ··· , a1, ···) = 0, one frequently has the problem of ...

According to Lex Fridman (@lexfridman), his recent conversation with renowned mathematician Terence Tao highlighted the emerging role of artificial intelligence in addressing some of the hardest ...

The brain makes everyday tasks feel simple, even when they involve many moving parts. It does this by breaking big goals into smaller, bite-sized steps. That’s how someone can head out for coffee ...