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math.ST2018
The Mismatch Principle: The Generalized Lasso Under Large Model Uncertainties
Martin Genzel, Gitta Kutyniok
We study the estimation capacity of the generalized Lasso, i.e., least squares minimization combined with a (convex) structural constraint. While Lasso-type estimators were origina…
math.ST2018
Robust 1-Bit Compressed Sensing via Hinge Loss Minimization
Martin Genzel, Alexander Stollenwerk
This work theoretically studies the problem of estimating a structured high-dimensional signal from noisy -bit Gaussian measurements. Our recovery approac…