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math.MG2014★ 16 cited
A notion of nonpositive curvature for general metric spaces
Miroslav Bačák, Bobo Hua, Jürgen Jost +2
We introduce a new definition of nonpositive curvature in metric spaces and study its relationship to the existing notions of nonpositive curvature in comparison geometry. The main…
math.MG2012
Computing medians and means in Hadamard spaces
Miroslav Bacak
The geometric median as well as the Frechet mean of points in an Hadamard space are important in both theory and applications. Surprisingly, no algorithms for their computation are…