Abstract. Atmospheric inverse modeling describes the process of estimating greenhouse gas fluxes or air pollution emissions at Earth's surface using observations these gases collected in atmosphere. The launch new satellites, expansion observation networks, and a desire for more detailed maps have yielded numerous computational statistical challenges standard frameworks that were often original...

In recent years, there have been significant advances in the use of deep learning methods inverse problems such as denoising, compressive sensing, inpainting, and super-resolution. While this line works has predominantly driven by practical algorithms experiments, it also given rise to a variety intriguing theoretical problems. paper, we survey some prominent developments works, focusing partic...

Abstract Seismic site characterization attempts to quantify seismic wave behavior at a specific location based on near-surface geophysical properties, for the purpose of mitigating damage caused by earthquakes. In recent years, techniques estimating properties using observations recorded surface have become an increasingly popular alternative invasive methods. These include surface-wave phenome...