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arXiv · 1108.5341

Optimal rates of convergence for convex set estimation from support functions

Adityanand Guntuboyina
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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.

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Adityanand Guntuboyina. 2012-05-30. Optimal rates of convergence for convex set estimation from support functions. https://doi.org/10.1214/11-aos959

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