2 citations · 2 across the 3 of their papers we have counts for
5 papers
Computation of degree-1 persistent homology on larger point-clouds using the Reduced Vietoris-Rips filtration
Musashi Ayrton Koyama, Facundo Mémoli, Vanessa Robins +1
Computing Persistent Homology for large point clouds remains a bottleneck for the wider adoption of persistent homology by the scientific community. We present an algorithm which c…
The Wasserstein transform
Kun Jin, Facundo Mémoli, Zane Smith +1
We introduce the Wasserstein Transform (WT), a general unsupervised framework for updating distance structures on given data sets with the purpose of enhancing features and denoisi…
Discrimination of Dynamic Data via Curvature Sets
Nadezhda Belova, Maxwell Goldberg, Facundo Memoli +2
Techniques from topological data analysis (TDA) have proven effective in studying time-dependent data arising in dynamic systems, such as animal swarming behavior and spatiotempora…
The G-Gromov-Hausdorff Distance and Equivariant Topology
Sunhyuk Lim, Facundo Memoli
For each arbitrary finite group , we consider a suitable notion of Gromov Hausdorff distance between compact metric spaces and derive lower bounds based on equivariant topol…
Metric Representations of Network Data
Santiago Segarra, Gunnar Carlsson, Facundo Memoli +1
Networks are structures that encode relationships between pairs of elements or nodes. However, there is no imposed connection between these relationships, i.e., the relationship be…