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Boissonnat and Pritam introduced an algorithm to reduce a filtration of flag (or clique) complexes, which can in particular speed up the computation of its persistent homology.
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Vines and vineyards by updating persistence in linear time
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Approximate Čech complex in low and high dimensions
M. Kerber and R. Sharathkumar · 2013
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Morse theory for filtrations and efficient computation of persistent homology
K. Mischaikow and V. Nanda · 2013
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Linear-size approximations to the Vietoris–Rips filtration
D. Sheehy · 2013
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Simplification of complexes for persistent homology computations
P. Dłotko and H. Wagner · 2014
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Approximating persistent homology in Euclidean space through collapses
M. Botnan and G. Spreemann · 2015
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Zigzag persistence via reflections and transpositions
C. Maria and S. Oudot · 2015
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Zigzag zoology: Rips zigzags for homology inference
S. Y. Oudot and D. R. Sheehy · 2015
Cited alongside, same era.
Computing persistent homology of flag complexes via strong collapses
J-D. Boissonnat and S. Pritam · 2019
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Polynomial-sized topological approximations using the permutahedron
A. Choudhary, M. Kerber, and S. Raghvendra: · 2019
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Simba: An efficient tool for approximating Rips-filtration persistence via simplicial batch collapse
T. K. Dey, D. Shi, and Y. Wang · 2019
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Tuning the performance of a computational persistent homology package
A. Hylton, G. Henselman-Petrusek, J. Sang, and R. Short · 2019
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Edge collapse and persistence of flag complexes
J-D. Boissonnat and S. Pritam · 2020
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GPU-Accelerated Computation of Vietoris-Rips Persistence Barcodes
M. Xiao S. Zhang and H. Wang · 2020
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PHAT - persistent homology algorithms toolbox
U. Bauer, M. Kerber, J. Reininghaus, and H. Wagner · 2016
Cited alongside, same era.
The Structure and Stability of Persistence Modules
F. Chazal, V. de Silva, M. Glisse, and S. Oudot · 2016
Cited alongside, same era.
A roadmap for the computation of persistent homology
N. Otter, M. Porter, U. Tillmann, P. Grindrod, and H. Harrington · 2017
Cited alongside, same era.
URL: https://gudhi.inria.fr/
Gudhi: Geometry understanding in higher dimensions
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Dionysus
D. Mozozov
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Dory: Overcoming barriers to computing persistent homology, 2021
M. Aggarwal and V. Periwal · 2021
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Ripser: efficient computation of Vietoris-Rips persistence barcodes
U. Bauer · 2021
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J. B. Pérez, S. Hauke, U. Lupo, M. Caorsi, and A. Dassatti · 2021
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