Anastasios Stefanou

activity

20172026

most citedThe

ℓ^{\infty}

-Cophenetic Metric for Phylogenetic Trees as an Interleaving Distance

26 citations · 42 across the 13 of their papers we have counts for

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Showing 2019 · math.ATShow all

3 papers · 2 filters

math.AT2019★ 1 cited

Interleaving by Parts: Join Decompositions of Interleavings and Join-Assemblage of Geodesics

Woojin Kim, Facundo Mémoli, Anastasios Stefanou

Metrics of interest in topological data analysis (TDA) are often explicitly or implicitly in the form of an interleaving distance $d_{I}$ between poset maps (i.e. order-pr…

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…

Interleaving by Parts: Join Decompositions of Interleavings and Join-Assemblage of Geodesics

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