4 citations · 7 across the 2 of their papers we have counts for
3 papers
A Primer on Persistent Homology of Finite Metric Spaces
Facundo Memoli, Kritika Singhal
TDA (topological data analysis) is a relatively new area of research related to importing classical ideas from topology into the realm of data analysis. Under the umbrella term TDA…
Sketching and Clustering Metric Measure Spaces
Facundo Mémoli, Anastasios Sidiropoulos, Kritika Singhal
Two important optimization problems in the analysis of geometric data sets are clustering and sketching. Here, clustering refers to the problem of partitioning some input metric me…
Fractal dimension and lower bounds for geometric problems
Anastasios Sidiropoulos, Kritika Singhal, Vijay Sridhar
We study the complexity of geometric problems on spaces of low fractal dimension. It was recently shown by [Sidiropoulos & Sridhar, SoCG 2017] that several problems admit improved…