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math.ST2017
Mean Estimation from Adaptive One-bit Measurements
Alon Kipnis, John C. Duchi
We consider the problem of estimating the mean of a normal distribution under the following constraint: the estimator can access only a single bit from each sample from this distri…
math.ST2017★ 28 cited
Solving (most) of a set of quadratic equalities: Composite optimization for robust phase retrieval
John C. Duchi, Feng Ruan
We develop procedures, based on minimization of the composition of a convex function and smooth function , for solving random collections of quadratic equal…