Sharp statistically optimal recovery guarantees for second-order critical points of nonconvex matrix LASSO under RIP, with counterexamples showing overparametrization does not always improve the landscape.
Smoothed analysis for low-rank solutions to semidefinite programs in quadratic penalty form,
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Sharp recovery and landscape guarantees for the nonconvex matrix LASSO
Sharp statistically optimal recovery guarantees for second-order critical points of nonconvex matrix LASSO under RIP, with counterexamples showing overparametrization does not always improve the landscape.