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 ...

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

Researchers at the University of Pennsylvania have solved a persistent obstacle in computational mathematics: how to reliably ...

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 ...

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.

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 ...

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 ...

Check back in Fall 2025. Abstract: Constitutive or material models provide a mathematical description of how solids respond to mechanical stimuli. For example, an isotropic linear elastic constitutive ...

This illustration shows how data-driven inverse problems are solved in neural dynamical systems. Models are constructed and fitted to brain data with appropriate regularization terms that encode ...

Inverse problems in spectral theory address the challenge of reconstructing differential operators from observed spectral data. This field, rich in both theoretical and applied mathematics, underpins ...