Under low-rank ground truth, matrix RIP, and small noise relative to the penalty, the unique LASSO solution has rank approximately bounded by the ground truth, implying linear convergence of low-rank projected proximal gradient and global optimality of all second-order critical points in the non-con
Noisy low-rank matrix optimizati on: Geometry of local minima and convergence rate
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Low solution rank of the matrix LASSO under RIP with consequences for rank-constrained algorithms
Under low-rank ground truth, matrix RIP, and small noise relative to the penalty, the unique LASSO solution has rank approximately bounded by the ground truth, implying linear convergence of low-rank projected proximal gradient and global optimality of all second-order critical points in the non-con