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math.ST2011
Necessary and sufficient condition for the existence of a Fréchet mean on the circle
Benjamin Charlier
Let be the unit circle in endowed with the arclength distance. We give a sufficient and necessary condition for a general probability measure to admit a…
math.ST2010
On the consistency of Fréchet means in deformable models for curve and image analysis
Jérémie Bigot, Benjamin Charlier
A new class of statistical deformable models is introduced to study high-dimensional curves or images. In addition to the standard measurement error term, these deformable models i…