Inverse problems in spaces of measures

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On the Global Convergence of Gradient Descent for Over-parameterized Models using Optimal Transport (2018, background): “The practical behavior is improved with nonconvex updates [6, 7] reminiscent of the ﬂow studied below.”
Towards a Mathematical Theory of Super‐resolution (2012, background): “Another possibility is to try approximating the solution by estimating the support of the signal in an iterative fashion [5].”
Exact Support Recovery for Sparse Spikes Deconvolution (2013, methodology): “In [4] it is shown that if the solution of (P0(y0)) is unique, the measures recovered by (Pλ(y0 +w)) converge to the solution of (P0(y0)) in the sense of the weak-* convergence when λ → 0 and ||w|| 2 2 λ → 0.”
Modern regularization methods for inverse problems (2018, methodology): “Note that the above assumptions on K and F are reminiscent of the setup used by [56] and later by [60].”