Mathematicians finally understand the behavior of an important class of differential equations that describe everything from ...

Neuromorphic computers modeled after the human brain can now solve the complex equations behind physics simulations — something once thought possible only with energy-hungry supercomputers. The ...

The world’s first neuromorphic supercomputer is moving closer to reality after researchers at Sandia National Laboratories (SNL) in the US demonstrated a novel algorithm that uses neuromorphic ...

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 ...

Luis Caffarelli has won the 2023 Abel prize, unofficially called the Nobel prize for mathematics, for his work on a class of equations that describe many real-world physical systems, from melting ice ...