56 citations · 135 across the 12 of their papers we have counts for
4 papers · 1 filter
Scaffoldings and Spines: Organizing High-Dimensional Data Using Cover Trees, Local Principal Component Analysis, and Persistent Homology
Paul Bendich, Ellen Gasparovic, Christopher J. Tralie +1
We propose a flexible and multi-scale method for organizing, visualizing, and understanding datasets sampled from or near stratified spaces. The first part of the algorithm produce…
Multi-Scale Local Shape Analysis and Feature Selection in Machine Learning Applications
Paul Bendich, Ellen Gasparovic, John Harer +2
We introduce a method called multi-scale local shape analysis, or MLSA, for extracting features that describe the local structure of points within a dataset. The method uses both g…
Failure Filtrations for Fenced Sensor Networks
Elizabeth Munch, Michael Shapiro, John Harer
In this paper we consider the question of sensor network coverage for a 2-dimensional domain. We seek to compute the probability that a set of sensors fails to cover given only non…
Emerging Challenges in Computational Topology
Marshall Bern, David Eppstein, Pankaj K. Agarwal +19
Here we present the results of the NSF-funded Workshop on Computational Topology, which met on June 11 and 12 in Miami Beach, Florida. This report identifies important problems inv…