Abstract: Recent diffusion models provide a promising zero-shot solution to noisy linear inverse problems without retraining for specific inverse problems. In this paper, we reveal that recent methods ...

Much of mathematics involves so-called forward problems. These problems begin with a model of a physical system — say, a ball rolling down an incline plane — and researchers use parameters, such as ...

The initial-boundary and the inverse coefficient problems for the semilinear hyperbolic equation with strong damping are considered in this study. The conditions for the existence and uniqueness of ...

Latent diffusion models have been demonstrated to generate high-quality images, while offering efficiency in model training compared to diffusion models operating in the pixel space. However, ...

Abstract: Various problems in computer vision and medical imaging can be cast as inverse problems. A frequent method for solving inverse problems is the variational approach, which amounts to ...

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 ...

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As a teacher, it can be challenging to explain abstract concepts like direct variation and inverse variation to your students. However, with the right activities, you can make these concepts much more ...