Inverse problems involve the recovery of unknown parameters or signals from indirect and often noisy measurements. Such problems are typically ill-posed in the sense that small perturbations in the ...

Spread the loveIn a world where artificial intelligence (AI) is reshaping industries, a groundbreaking method developed by researchers at the University of Pennsylvania is taking AI math problem ...

Computer-generated holography (CGH) provides an approach to digitally modulate a given wavefront. This technology, partly inherited from optical holography and partly advanced by the progress of ...

A deep dive into how modern AI techniques unify forward modeling, inverse problem solving, and evaluation to build next-generation data-driven surrogate brains. Artificial intelligence (AI) is ...

A ripple tells you something happened, but not exactly what. That is the core problem behind a hard class of equations that ...

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

Penn Engineers have developed a new way to use AI to solve inverse partial differential equations (PDEs), a particularly ...

Engineers at the University of Pennsylvania have developed an AI technique using 'mollifier layers' to solve complex inverse partial differential equations more efficiently and with greater stability.