Analysis versus synthesis in weighted sparse recovery

The synthesis model for compressive sensing has been the model of choice for many years and various weighting schemes have been shown to improve it's performance (see Yilmaz, Mansour, and Ghadermarzy talks). However, there is a counterpart model to synthesis, namely the analysis model, which has been less popular but recently attracted more attention (see Lin's talk). In this talk, weighting in the analysis model is discussed and applied to the seismic trace interpolation problem.