Anastasios Stefanou

most cited

A_{\infty}

persistent homology estimates the topology from pointcloud datasets

2 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.AT2026

On the Hausdorff stability of barcodes over posets

Mujtaba Ali, Tom Needham, Anastasios Stefanou +1

The Isometry Theorem of Chazal et al. and Lesnick is a fundamental result in persistence theory, which states that the interleaving distance between two one-parameter persistence m…

math.AT2019★ 2 cited

$A_{\infty}$ persistent homology estimates the topology from pointcloud datasets

Francisco Belchí, Anastasios Stefanou

Let $X$ be a closed subspace of a metric space $M$ . Under mild hypotheses, one can estimate the Betti numbers of $X$ from a finite set $P \subset M$ of points approximating $X$ . In…

math.AT2019

Tree decomposition of Reeb graphs, parametrized complexity, and applications to phylogenetics

Anastasios Stefanou

Inspired by the interval decomposition of persistence modules and the extended Newick format of phylogenetic networks, we show that, inside the larger category of \textit{ordered R…

On the Hausdorff stability of barcodes over posets

A∞​ persistent homology estimates the topology from pointcloud datasets

Tree decomposition of Reeb graphs, parametrized complexity, and applications to phylogenetics

$A_{\infty}$ persistent homology estimates the topology from pointcloud datasets