most citedInconsistency of Template Estimation by Minimizing of the Variance/Pre-Variance in the Quotient Space

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math.ST2017★ 6 cited

Inconsistency of Template Estimation by Minimizing of the Variance/Pre-Variance in the Quotient Space

Loïc Devilliers, Stéphanie Allassonnière, Alain Trouvé +1

We tackle the problem of template estimation when data have been randomly deformed under a group action in the presence of noise. In order to estimate the template, one often minim…

math.ST2017

Inconsistency of Template Estimation with the Fr{é}chet mean in Quotient Space

Loïc Devilliers, Xavier Pennec, Stéphanie Allassonnière

We tackle the problem of template estimation when data have been randomly transformed under an isometric group action in the presence of noise. In order to estimate the template, o…