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Navid Ghadermarzy, Hassan Mansour, and Ozgur Yilmaz, Non-convex compressed sensing using partial support information, Journal of Sampling Theory in Signal and Image Processing, vol. 13, pp. 249-270, 2014.
Hassan Mansour, Beyond $\ell_1$ norm minimization for sparse signal recovery, in 2012 IEEE Statistical Signal Processing Workshop (SSP) (SSP'12), Ann Arbor, Michigan, USA, 2012.
Ewout van den Berg and Michael P. Friedlander, Sparse optimization with least-squares constraints, SIAM Journal on Optimization, vol. 21, pp. 1201–1229, 2011.