Abstract: There has been significant recent work on solving PDEs using neural networks on infinite dimensional spaces. In this talk we consider two examples. First, we prove that transformers can ...
The researchers’ device applies principles of neural networking to an optical framework. As a wave encoded with a PDE passes through the ONE’s series of components, its properties gradually shift and ...
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Computer chips designed like biological brains can finally handle massive math problems without guzzling energy like a normal supercomputer
When you swing a tennis racket or catch a set of keys, you aren’t thinking about wind resistance or gravity. Yet, to perform that motion, your brain is solving a massive physics problem in ...
Calculation: A representation of a network of electromagnetic waveguides (left) being used to solve Dirichlet boundary value problems. The coloured diagrams at right represent the normalized ...
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