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Keyword

persistence barcodes

Description: A topological data analysis representation that summarizes the birth and persistence of topological features across a filtration.
Wikidata ID: wiki/Q118903543
OpenAlex ID: keywords/persistence-barcodes
Ripser: efficient computation of Vietoris–Rips persistence barcodes
2021 · Ulrich Bauer · Journal of Applied and Computational Topology · 368
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Persistence barcodes for shapes
2004 · Gunnar Carlsson, Afra Zomorodian, et al. · 133
An entropy-based persistence barcode
2014 · Harish Chintakunta, Thanos Gentimis, et al. · Pattern Recognition · 98
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Induced Matchings and the Algebraic Stability of Persistence Barcodes
2013 · Bauer, Ulrich, Lesnick, Michael · Journal of computational geometry · 66
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Tropical Coordinates on the Space of Persistence Barcodes
2018 · Sara Kališnik · Foundations of Computational Mathematics · 63
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Persistent entropy for separating topological features from noise in vietoris-rips complexes
2017 · Nieves Atienza, Rocio Gonzalez-Diaz, et al. · Journal of Intelligent Information Systems · 63
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Persistent homology detects curvature
2019 · Peter Bubenik, Michael Hull, et al. · Inverse Problems · 62
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Learning Representations of Persistence Barcodes
2019 · Christoph D. Hofer, Roland Kwitt, et al. · Journal of Machine Learning Research · 47
Topological Data Analysis of Functional MRI Connectivity in Time and Space Domains
2018 · Keri L. Anderson, Jeffrey S. Anderson, et al. · Lecture notes in computer science · 40
A Framework for Differential Calculus on Persistence Barcodes
2021 · Jacob Leygonie, Steve Oudot, et al. · Foundations of Computational Mathematics · 36
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Persistent Homology Guided Force-Directed Graph Layouts
2019 · Ashley Suh, Mustafa Hajij, et al. · IEEE Transactions on Visualization and Computer Graphics · 35
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Topological spaces of persistence modules and their properties
2018 · Peter Bubenik, Tane Vergili · Journal of Applied and Computational Topology · 32
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Persistent homology and applied homotopy theory
2020 · Gunnar Carlsson · Chapman & Hall/CRC eBooks · 30
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GPU-Accelerated Computation of Vietoris-Rips Persistence Barcodes
2020 · Zhang, Simon, Xiao, Mengbai, et al. · arXiv (Cornell University) · 25
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TopoSeg: Topology-Aware Nuclear Instance Segmentation
2023 · Hongliang He, Jun Wang, et al. · IEEE/CVF International Conference on Computer Vision (ICCV) · 24
Human Gait Identification Using Persistent Homology
2012 · Javier Lamar-León, Edel B. García-Reyes, et al. · Lecture notes in computer science · 23
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Bifurcation and chaos analysis of a fractional-order delay financial risk system using dynamic system approach and persistent homology
2024 · Ke He, Jianping Shi, et al. · Mathematics and Computers in Simulation · 22
Vietoris–Rips persistent homology, injective metric spaces, and the filling radius
2024 · Sunhyuk Lim, Facundo Mémoli, et al. · Algebraic & Geometric Topology · 22
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Empirical study of financial crises based on topological data analysis
2020 · Hongfeng Guo, Shengxiang Xia, et al. · Physica A Statistical Mechanics and its Applications · 22
Topologically faithful image segmentation via induced matching of persistence barcodes
2022 · Stucki, Nico, Paetzold, Johannes C., et al. · arXiv (Cornell University) · 20
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Decorated merge trees for persistent topology
2022 · Justin Curry, Haibin Hang, et al. · Journal of Applied and Computational Topology · 19
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Moduli spaces of morse functions for persistence
2020 · Michael J. Catanzaro, Justin M. Curry, et al. · Journal of Applied and Computational Topology · 19
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Zigzag Zoology: Rips Zigzags for Homology Inference
2014 · Steve Y. Oudot, Donald R. Sheehy · Foundations of Computational Mathematics · 19
Limit theorems for Betti numbers of extreme sample clouds with application to persistence barcodes
2018 · Takashi Owada · The Annals of Applied Probability · 18
Topological features of spike trains in recurrent spiking neural networks that are trained to generate spatiotemporal patterns
2024 · Oleg Maslennikov, Matjaž Perc, et al. · Frontiers in Computational Neuroscience · 17
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Works count: 153
Citation count: 1,586
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