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Newton’s method
Ewout van den Berg and Michael P. Friedlander, “Sparse optimization with least-squares constraints”, SIAM Journal on Optimization, vol. 21, p. 1201–1229, 2011. Abstract
Ewout van den Berg and Michael P. Friedlander, “Probing the Pareto frontier for basis pursuit solutions”, SIAM Journal on Scientific Computing, vol. 31, p. 890-912, 2008. Abstract
Rayan Saab and Ozgur Yilmaz, “Sparse recovery by non-convex optimization - instance optimality”, Applied and Computational Harmonic Analysis, vol. 29, p. 30-48, 2010. Abstract
nonconvex optimization
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, p. 249-270, 2014. Abstract
nonconvex PDHG
Ernie Esser, “Solving DC programs that promote group 1-sparsity”, in SIAM Conference on Imaging Science, 2014. Abstract
nonconvex quadratic problems
nonlinear optimization
nonuniform discrete Fourier transform
Oscar Lopez, Rajiv Kumar, Ozgur Yilmaz, and Felix J. Herrmann, “Off-the-grid low-rank matrix recovery and seismic data reconstruction”, IEEE Journal of Selected Topics in Signal Processing, vol. 10, p. 658-671, 2016. Abstract