Molecular functionality can be often directly attributed to given properties of the electronic wavefunction. Analogous potential energy surface, these represented as a function nuclear coordinates, giving rise molecular “functional landscapes.” However, so far there has been no possibility for their systematic investigation. This perspective aims discuss development new theoretical methods base...

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...