Persistent homology (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Persistent homology" in English language version.

refsWebsite

Global rank English rank

12doi.org

2^nd place

6worldcat.org

5^th place

4semanticscholar.org

11^th place

8^th place

2nih.gov

4^th place

1ams.org

451^st place

277^th place

1books.google.com

3^rd place

1springer.com

274^th place

309^th place

1researchgate.net

120^th place

125^th place

1arxiv.org

69^th place

59^th place

1inria.fr

4,903^rd place

3,679^th place

ams.org

Carlsson, Gunnar (2009). "Topology and data". AMS Bulletin 46(2), 255–308.

arxiv.org

Morozov, Dmitriy; Skraba, Primoz (2024). "Persistent (Co)Homology in Matrix Multiplication Time". Arxiv. arXiv:2412.02591.

books.google.com

Edelsbrunner, H and Harer, J (2010). Computational Topology: An Introduction. American Mathematical Society.

doi.org

Kerber, Michael; Sharathkumar, R. (2013). "Approximate Čech Complex in Low and High Dimensions". In Cai, Leizhen; Cheng, Siu-Wing; Lam, Tak-Wah (eds.). Algorithms and Computation. Lecture Notes in Computer Science. Vol. 8283. Berlin, Heidelberg: Springer. pp. 666–676. doi:10.1007/978-3-642-45030-3_62. ISBN 978-3-642-45030-3. S2CID 5770506.
Dey, Tamal K.; Shi, Dayu; Wang, Yusu (2019-01-30). "SimBa: An Efficient Tool for Approximating Rips-filtration Persistence via Simplicial Batch Collapse". ACM Journal of Experimental Algorithmics. 24: 1.5:1–1.5:16. doi:10.1145/3284360. ISSN 1084-6654. S2CID 216028146.
Verri, A.; Uras, C.; Frosini, P.; Ferri, M. (1993). "On the use of size functions for shape analysis". Biological Cybernetics. 70 (2): 99–107. doi:10.1007/BF00200823. S2CID 39065932.
Zomorodian, Afra; Carlsson, Gunnar (2004-11-19). "Computing Persistent Homology". Discrete & Computational Geometry. 33 (2): 249–274. doi:10.1007/s00454-004-1146-y. ISSN 0179-5376.
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John (2006-12-12). "Stability of Persistence Diagrams". Discrete & Computational Geometry. 37 (1): 103–120. doi:10.1007/s00454-006-1276-5. ISSN 0179-5376.
Sheehy, Donald R. (June 2013). "Linear-Size Approximations to the Vietoris–Rips Filtration". Discrete & Computational Geometry. 49 (4): 778–796. doi:10.1007/s00454-013-9513-1.
Botnan, Magnus Bakke; Spreemann, Gard (March 2015). "Approximating persistent homology in Euclidean space through collapses". Applicable Algebra in Engineering, Communication and Computing. 26 (1–2): 73–101. doi:10.1007/s00200-014-0247-y.
Choudhary, Aruni; Kerber, Michael; Raghvendra, Sharath (2017). "Improved Approximate Rips Filtrations with Shifted Integer Lattices". LIPIcs, Volume 87, ESA 2017. 87: 28:1–28:13. doi:10.4230/LIPIcs.ESA.2017.28.
Brun, Morten; Blaser, Nello (June 2019). "Sparse Dowker nerves". Journal of Applied and Computational Topology. 3 (1–2): 1–28. doi:10.1007/s41468-019-00028-9.
Otter, Nina; Porter, Mason A; Tillmann, Ulrike; et al. (2017-08-09). "A roadmap for the computation of persistent homology". EPJ Data Science. 6 (1). Springer: 17. doi:10.1140/epjds/s13688-017-0109-5. ISSN 2193-1127. PMC 6979512. PMID 32025466.
Bauer, Ulrich; Kerber, Michael; Reininghaus, Jan; Wagner, Hubert (2014). "PHAT – Persistent Homology Algorithms Toolbox". Mathematical Software – ICMS 2014. Springer Berlin Heidelberg. pp. 137–143. doi:10.1007/978-3-662-44199-2_24. ISBN 978-3-662-44198-5. ISSN 0302-9743.
Maria, Clément; Boissonnat, Jean-Daniel; Glisse, Marc; et al. (2014). "The Gudhi Library: Simplicial Complexes and Persistent Homology". Mathematical Software – ICMS 2014 (PDF). Berlin, Heidelberg: Springer. pp. 167–174. doi:10.1007/978-3-662-44199-2_28. ISBN 978-3-662-44198-5. ISSN 0302-9743. S2CID 17810678.

inria.fr

hal.inria.fr

Maria, Clément; Boissonnat, Jean-Daniel; Glisse, Marc; et al. (2014). "The Gudhi Library: Simplicial Complexes and Persistent Homology". Mathematical Software – ICMS 2014 (PDF). Berlin, Heidelberg: Springer. pp. 167–174. doi:10.1007/978-3-662-44199-2_28. ISBN 978-3-662-44198-5. ISSN 0302-9743. S2CID 17810678.

nih.gov

ncbi.nlm.nih.gov

Otter, Nina; Porter, Mason A; Tillmann, Ulrike; et al. (2017-08-09). "A roadmap for the computation of persistent homology". EPJ Data Science. 6 (1). Springer: 17. doi:10.1140/epjds/s13688-017-0109-5. ISSN 2193-1127. PMC 6979512. PMID 32025466.

pubmed.ncbi.nlm.nih.gov

Otter, Nina; Porter, Mason A; Tillmann, Ulrike; et al. (2017-08-09). "A roadmap for the computation of persistent homology". EPJ Data Science. 6 (1). Springer: 17. doi:10.1140/epjds/s13688-017-0109-5. ISSN 2193-1127. PMC 6979512. PMID 32025466.

researchgate.net

Barannikov, Sergey (1994). "Framed Morse complex and its invariants". Advances in Soviet Mathematics. 21: 93–115.

semanticscholar.org

api.semanticscholar.org

Kerber, Michael; Sharathkumar, R. (2013). "Approximate Čech Complex in Low and High Dimensions". In Cai, Leizhen; Cheng, Siu-Wing; Lam, Tak-Wah (eds.). Algorithms and Computation. Lecture Notes in Computer Science. Vol. 8283. Berlin, Heidelberg: Springer. pp. 666–676. doi:10.1007/978-3-642-45030-3_62. ISBN 978-3-642-45030-3. S2CID 5770506.
Dey, Tamal K.; Shi, Dayu; Wang, Yusu (2019-01-30). "SimBa: An Efficient Tool for Approximating Rips-filtration Persistence via Simplicial Batch Collapse". ACM Journal of Experimental Algorithmics. 24: 1.5:1–1.5:16. doi:10.1145/3284360. ISSN 1084-6654. S2CID 216028146.
Verri, A.; Uras, C.; Frosini, P.; Ferri, M. (1993). "On the use of size functions for shape analysis". Biological Cybernetics. 70 (2): 99–107. doi:10.1007/BF00200823. S2CID 39065932.
Maria, Clément; Boissonnat, Jean-Daniel; Glisse, Marc; et al. (2014). "The Gudhi Library: Simplicial Complexes and Persistent Homology". Mathematical Software – ICMS 2014 (PDF). Berlin, Heidelberg: Springer. pp. 167–174. doi:10.1007/978-3-662-44199-2_28. ISBN 978-3-662-44198-5. ISSN 0302-9743. S2CID 17810678.

springer.com

link.springer.com

Verri, A.; Uras, C.; Frosini, P.; Ferri, M. (1993). "On the use of size functions for shape analysis". Biological Cybernetics. 70 (2): 99–107. doi:10.1007/BF00200823. S2CID 39065932.

worldcat.org

search.worldcat.org

Dey, Tamal K.; Shi, Dayu; Wang, Yusu (2019-01-30). "SimBa: An Efficient Tool for Approximating Rips-filtration Persistence via Simplicial Batch Collapse". ACM Journal of Experimental Algorithmics. 24: 1.5:1–1.5:16. doi:10.1145/3284360. ISSN 1084-6654. S2CID 216028146.
Zomorodian, Afra; Carlsson, Gunnar (2004-11-19). "Computing Persistent Homology". Discrete & Computational Geometry. 33 (2): 249–274. doi:10.1007/s00454-004-1146-y. ISSN 0179-5376.
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John (2006-12-12). "Stability of Persistence Diagrams". Discrete & Computational Geometry. 37 (1): 103–120. doi:10.1007/s00454-006-1276-5. ISSN 0179-5376.
Otter, Nina; Porter, Mason A; Tillmann, Ulrike; et al. (2017-08-09). "A roadmap for the computation of persistent homology". EPJ Data Science. 6 (1). Springer: 17. doi:10.1140/epjds/s13688-017-0109-5. ISSN 2193-1127. PMC 6979512. PMID 32025466.
Bauer, Ulrich; Kerber, Michael; Reininghaus, Jan; Wagner, Hubert (2014). "PHAT – Persistent Homology Algorithms Toolbox". Mathematical Software – ICMS 2014. Springer Berlin Heidelberg. pp. 137–143. doi:10.1007/978-3-662-44199-2_24. ISBN 978-3-662-44198-5. ISSN 0302-9743.
Maria, Clément; Boissonnat, Jean-Daniel; Glisse, Marc; et al. (2014). "The Gudhi Library: Simplicial Complexes and Persistent Homology". Mathematical Software – ICMS 2014 (PDF). Berlin, Heidelberg: Springer. pp. 167–174. doi:10.1007/978-3-662-44199-2_28. ISBN 978-3-662-44198-5. ISSN 0302-9743. S2CID 17810678.