Inverse problems involve deducing the underlying characteristics of a system from observational data, rather than from direct measurement. In the realm of differential operators, this approach focuses ...

Inverse spectral theory addresses the fundamental question of how to reconstruct a differential operator from the knowledge of its spectral characteristics. Central to this theory are operators such ...

Penn researchers have developed a smarter AI method for solving notoriously difficult inverse equations, which help scientists uncover hidden causes behind observable effects. By introducing ...

Penn Engineers have developed a new way to use AI to solve inverse partial differential equations (PDEs), a particularly challenging class of mathematical problems with broad implications for ...