A ripple tells you something happened, but not exactly what. That is the core problem behind a hard class of equations that scientists use when they try to work backward from what they can measure to ...

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 ...

The Inverse Problems Lab at Wilkes University, located in Stark Learning Center, focuses on tackling real-world challenges where system responses are known, but the underlying causes must be ...

Inverse problems in differential equations constitute a pivotal area in applied mathematics and engineering, where the aim is to deduce unknown parameters or inputs within a differential equation from ...

University of California, Santa Cruz professor of mathematics François Monard has received the prestigious Calderón Prize for his work in the field of inverse problems. Broadly defined, researchers ...

Researchers at the University of Pennsylvania have introduced 'Mollifier Layers,' an AI-based mathematical approach to solve inverse partial differential equations more reliably and with less ...

An editorial paper by scientists at the Beijing Institute of Technology, the Imperial College London, and the University of Augsburg introduced an emerging methodology named computational ...

Inverse problems are central to modern applied mathematics, posing the challenge of deducing causes from observed effects across numerous disciplines including geophysics, medical imaging and ...