CS: Compressed sensing reconstruction of a string signal from interferometric observations of the cosmic microwave background

If you thought some of the previous posts were too esoteric, watch out! we're now talking about doing inverse problems on strings :-). Enjoy.

Compressed sensing reconstruction of a string signal from interferometric observations of the cosmic microwave background by Yves Wiaux, Gilles Puy, Pierre Vandergheynst. The abstract reads:

We propose an algorithm for the reconstruction of the signal induced by cosmic strings in the cosmic microwave background (CMB), from radio-interferometric data at arcminute resolution. Radio interferometry provides incomplete and noisy Fourier measurements of the string signal, which exhibits sparse or compressible magnitude of the gradient due to the Kaiser-Stebbins (KS) effect. In this context the versatile framework of compressed sensing naturally applies for solving the corresponding inverse problem. Our algorithm notably takes advantage of a model of the prior statistical distribution of the signal fitted on the basis of realistic simulations. Enhanced performance relative to the standard CLEAN algorithm is demonstrated by simulated observations under noise conditions including primary and secondary CMB anisotropies.