The richness of natural images makes the quest for optimal representations in image processing and computer vision challenging. The latter observation has not prevented the design...
The dictionary approach to signal and image processing has been massively investigated in the last two decades, proving very attractive for a wide range of applications. The effec...
Abstract--Sparse representations of signals have drawn considerable interest in recent years. The assumption that natural signals, such as images, admit a sparse decomposition over...
It is now well established that sparse signal models are well suited for restoration tasks and can be effectively learned from audio, image, and video data. Recent research has be...
Julien Mairal, Francis Bach, Jean Ponce, Guillermo...
An elementary proof of a basic uncertainty principle concerning pairs of representations of ?? vectors in different orthonormal bases is provided. The result, slightly stronger th...