2 papers
math.AT2025
Stability of 0-dimensional persistent homology in enriched and sparsified point clouds
JÄnis Lazovskis, Ran Levi, Juliano Morimoto
We give bounds for dimension 0 persistent homology and codimension 1 homology of Vietoris--Rips, alpha, and cubical complex filtrations from finite sets related by enrichment (addi…
cs.LG2025
Near-Exponential Savings for Mean Estimation with Active Learning
Julian M. Morimoto, Jacob Goldin, Daniel E. Ho
We study the problem of efficiently estimating the mean of a -class random variable, , using a limited number of labels, , in settings where the analyst has access to auxi…