41 citations · 264 across the 40 of their papers we have counts for
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stat.ML2015★ 2 cited
The Shape of Data and Probability Measures
Diego Hernán Díaz Martínez, Facundo Mémoli, Washington Mio
We introduce the notion of multiscale covariance tensor fields (CTF) associated with Euclidean random variables as a gateway to the shape of their distributions. Multiscale CTFs qu…
stat.ML2010★ 8 cited
Classifying Clustering Schemes
Gunnar Carlsson, Facundo Memoli
Many clustering schemes are defined by optimizing an objective function defined on the partitions of the underlying set of a finite metric space. In this paper, we construct a fram…
stat.ML2008★ 30 cited
Persistent Clustering and a Theorem of J. Kleinberg
Gunnar Carlsson, Facundo Memoli
We construct a framework for studying clustering algorithms, which includes two key ideas: persistence and functoriality. The first encodes the idea that the output of a clustering…