notesum.ai

Published at November 26

TDAvec: Computing Vector Summaries of Persistence Diagrams for Topological Data Analysis in R and Python

math.AT

cs.CV

Released Date: November 26, 2024

Authors: Aleksei Luchinsky, Umar Islambekov¹

Aff.: ¹Bowling Green State University

Arxiv: http://arxiv.org/abs/2411.17340v1

Refer to caption

	R libraries								Python
	TDA	TDApplied	TDAstats	TDAkit	kernelTDA	tdaunif	ripserr	TDAmapper	Giotto-tda	Gudhi	Dionysus 2	scikit-tda
Sampling methods	$V$			$V$		$V$
Density estimation	$V$									$V$
Alpha filtration	$V$									$V$		$V$
Alpha shape filtration	$V$
Vietoris-Rips filtration	$V$		$V$	$V$			$V$			$V$	$V$	$V$
User-defined filtration	$V$
Cubical complex							$V$		$V$	$V$
Wasserstein distance	$V$	$V$	$V$		$V$				$V$	$V$	$V$	$V$
Plotting persistence diagrams	$V$	$V$	$V$	$V$					$V$	$V$	$V$	$V$
Statistical methods	$V$	$V$	$V$	$V$
Vectorization methods	$V$			$V$	$V$				$V$	$V$		$V$
Kernel methods		$V$		$V$	$V$
Supervised learning methods		$V$			$V$
Clustering methods	$V$	$V$		$V$					$V$	$V$
HD data plots								$V$	$V$	$V$	$V$
Dimension reduction		$V$										$V$