Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Geometry Helps to Compare Persistence Diagrams - MaRDI portal

Geometry Helps to Compare Persistence Diagrams

From MaRDI portal
Publication:4577947

DOI10.1145/3064175zbMath1414.68129arXiv1606.03357OpenAlexW2294510945MaRDI QIDQ4577947

Dmitriy Morozov, Arnur Nigmetov, Michael Kerber

Publication date: 6 August 2018

Published in: ACM Journal of Experimental Algorithmics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03357




Related Items

A feasibility study for a persistent homology-based \(k\)-nearest neighbor search algorithm in melanoma detectionSignal classification with a point process distance on the space of persistence diagramsTopological Data Analysis on Simple English Wikipedia ArticlesPersistence Flamelets: Topological Invariants for Scale SpacesCancer Fingerprints by Topological Data AnalysisBayesian topological learning for classifying the structure of biological networksUnnamed ItemFunctional summaries of persistence diagramsTopological learning for brain networksOn the Stability of Multigraded Betti Numbers and Hilbert FunctionsBottleneck profiles and discrete Prokhorov metrics for persistence diagramsFiltration simplification for persistent homology via edge contractionSame But Different: Distance Correlations Between Topological SummariesComputing the interleaving distance is NP-hardSpatiotemporal persistent homology for dynamic metric spacesOptimal transport: discretization and algorithmsBarcode embeddings for metric graphsUnderstanding the topology and the geometry of the space of persistence diagrams via optimal partial transportUnnamed ItemUnnamed ItemComputational Complexity of the Interleaving DistanceUnnamed ItemGeneralized persistence diagrams for persistence modules over posetsTropical Sufficient Statistics for Persistent HomologyPersistent topology of protein spaceCompression for \(2\)-parameter persistent homologyMetric Spaces with Expensive DistancesAn Overview of the Topology ToolKitSupervised learning with indefinite topological Kernels



Cites Work