10 citations · 17 across the 4 of their papers we have counts for
4 papers
Resampling and averaging coordinates on data
Andrew J. Blumberg, Mathieu Carriere, Jun Hou Fung +1
We introduce algorithms for robustly computing intrinsic coordinates on point clouds. Our approach relies on generating many candidate coordinates by subsampling the data and varyi…
Measures determined by their values on balls and Gromov-Wasserstein convergence
Anne van Delft, Andrew J. Blumberg
A classical question about a metric space is whether Borel measures on the space are determined by their values on balls. We show that for any given measure this property is stable…
A polynomial-time relaxation of the Gromov-Hausdorff distance
Soledad Villar, Afonso S. Bandeira, Andrew J. Blumberg +1
The Gromov-Hausdorff distance provides a metric on the set of isometry classes of compact metric spaces. Unfortunately, computing this metric directly is believed to be computation…
Genomic data analysis in tree spaces
Sakellarios Zairis, Hossein Khiabanian, Andrew J. Blumberg +1
Recently, an elegant approach in phylogenetics was introduced by Billera-Holmes-Vogtmann that allows a systematic comparison of different evolutionary histories using the metric ge…