Optimal rates of convergence for convex set estimation from support functions

Details Optimal rates of convergence for convex set estimation from support functions Optimal rates of convergence for convex set estimation from support functions

2011-08-26

arxiv.org/abs/1108.5341v1

Mathematics

Statistics Theory

Scientific paper

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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