Penn researchers have developed a smarter AI method for solving notoriously difficult inverse equations, which help ...

You can probably think of a time when you’ve used math to solve an everyday problem, such as calculating a tip at a restaurant or determining the square footage of a room. But what role does math play ...

Recent decades have witnessed a bloom in research at the interface of complex geometry and nonlinear partial differential equations. This interdisciplinary field explores the deep and intricate ...

Engineers at the University of Pennsylvania have developed 'Mollifier Layers,' a mathematical enhancement for AI that improves stability, speed, and accuracy in solving inverse partial differential ...