Google's DeepMind uncovered surprising solutions to the equations governing fluid dynamics, potentially accelerating vehicle design, improving weather forecasting, and forging a new path for ...

Calculus: Limits, continuity and differentiability; Partial derivatives, maxima and minima; Sequences and series; Test for convergence. Differential ... Numerical Methods: Solution of linear and ...

Abstract: We develop a framework for estimating unknown partial differential equations (PDEs) from noisy data, using a deep learning approach. Given noisy samples of a solution to an unknown PDE, our ...

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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 ...

Researchers from the Institute of Cosmos Sciences of the University of Barcelona (ICCUB) have developed a new framework based ...

Researchers from the Institute of Cosmos Sciences of the University of Barcelona (ICCUB) have developed a new framework based on machine learning ...

Abstract: Neural operators are a class of neural networks to learn mappings between infinite-dimensional function spaces, and recent studies have shown that using neural operators to solve partial ...

We also prove that the two sets of Maxwell equations only depend on the non-linear elations of the conformal group of ...

Stanford's Center for AI Safety had its annual workshop. Latest research and industry work on AI safety is promising. I share ...

Steiner: Cricket fans understand 'googly' & 'silly mid-off.' Most U.S. readers, even strong ones, don't. No amount of ...