Fast phase retrieval for high dimensions: A block-based approach
  This paper addresses fundamental scaling issues that hinder phase retrieval (PR) in high dimensions. We show that, if the measurement matrix can be put into a generalized block-diagonal form, a large PR problem can be solved on separate blocks, at the cost of a few extra global measurements to merge the partial results. We illustrate this principle using two distinct PR methods, and discuss different design trade-offs. Experimental results indicate that this block-based PR framework can reduce computational cost and memory requirements by several orders of magnitude. 
Boshra Rajaei, Sylvain Gigan, Florent Krzakala, Laurent Daudet
cs.IT math.IT