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math.ST2024★ 1 cited
On the design-dependent suboptimality of the Lasso
Reese Pathak, Cong Ma
This paper investigates the effect of the design matrix on the ability (or inability) to estimate a sparse parameter in linear regression. More specifically, we characterize the op…
math.ST2023
Noisy recovery from random linear observations: Sharp minimax rates under elliptical constraints
Reese Pathak, Martin J. Wainwright, Lin Xiao
Estimation problems with constrained parameter spaces arise in various settings. In many of these problems, the observations available to the statistician can be modelled as arisin…