Abstract
We present a minimax optimal solution to the problem of estimating a compact, convex set from finitely many noisy measurements of its support function. The solution is based on appropriate regularizations of the least squares estimator. Both fixed and random designs are considered.
Citation
Adityanand Guntuboyina. "Optimal rates of convergence for convex set estimation from support functions." Ann. Statist. 40 (1) 385 - 411, February 2012. https://doi.org/10.1214/11-AOS959
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