Dey, Tamal K.; Kim, Woojin; Mémoli, Facundo Computing generalized rank invariant for 2-parameter persistence modules via zigzag persistence and its applications. (English) Zbl 07785740 Discrete Comput. Geom. 71, No. 1, 67-94 (2024). MSC: 16G20 55N31 62R40 68U05 PDFBibTeX XMLCite \textit{T. K. Dey} et al., Discrete Comput. Geom. 71, No. 1, 67--94 (2024; Zbl 07785740) Full Text: DOI arXiv OA License
Gonzalez-Diaz, R.; Soriano-Trigueros, M.; Torras-Casas, A. Partial matchings induced by morphisms between persistence modules. (English) Zbl 07701319 Comput. Geom. 112, Article ID 101985, 19 p. (2023). MSC: 55N31 55N35 16G20 68U05 16G10 PDFBibTeX XMLCite \textit{R. Gonzalez-Diaz} et al., Comput. Geom. 112, Article ID 101985, 19 p. (2023; Zbl 07701319) Full Text: DOI arXiv
Tinarrage, Raphaël Recovering the homology of immersed manifolds. (English) Zbl 1528.55005 Discrete Comput. Geom. 69, No. 3, 659-744 (2023). Reviewer: Semra Pamuk (Ankara) MSC: 55N31 53C42 53C20 49Q15 49Q22 68U05 PDFBibTeX XMLCite \textit{R. Tinarrage}, Discrete Comput. Geom. 69, No. 3, 659--744 (2023; Zbl 1528.55005) Full Text: DOI arXiv
Fugacci, Ulderico; Kerber, Michael; Rolle, Alexander Compression for \(2\)-parameter persistent homology. (English) Zbl 1520.55007 Comput. Geom. 109, Article ID 101940, 28 p. (2023). Reviewer: Beatrice Bleile (Armidale) MSC: 55N31 68U05 55U15 PDFBibTeX XMLCite \textit{U. Fugacci} et al., Comput. Geom. 109, Article ID 101940, 28 p. (2023; Zbl 1520.55007) Full Text: DOI arXiv
Adams, Henry; Coldren, Sophia; Willmot, Sean The persistent homology of cyclic graphs. (English) Zbl 07633849 Int. J. Comput. Geom. Appl. 32, No. 1-2, 1-37 (2022). MSC: 68U05 PDFBibTeX XMLCite \textit{H. Adams} et al., Int. J. Comput. Geom. Appl. 32, No. 1--2, 1--37 (2022; Zbl 07633849) Full Text: DOI arXiv
Botnan, Magnus Bakke; Lebovici, Vadim; Oudot, Steve On rectangle-decomposable 2-parameter persistence modules. (English) Zbl 1508.55003 Discrete Comput. Geom. 68, No. 4, 1078-1101 (2022). Reviewer: Massimo Ferri (Bologna) MSC: 55N31 68R99 PDFBibTeX XMLCite \textit{M. B. Botnan} et al., Discrete Comput. Geom. 68, No. 4, 1078--1101 (2022; Zbl 1508.55003) Full Text: DOI arXiv
Asashiba, Hideto; Buchet, Mickaël; Escolar, Emerson G.; Nakashima, Ken; Yoshiwaki, Michio On interval decomposability of \(2\)D persistence modules. (English) Zbl 1502.55004 Comput. Geom. 105-106, Article ID 101879, 33 p. (2022). Reviewer: My Ismail Mamouni (Rabat) MSC: 55N31 68U03 PDFBibTeX XMLCite \textit{H. Asashiba} et al., Comput. Geom. 105--106, Article ID 101879, 33 p. (2022; Zbl 1502.55004) Full Text: DOI arXiv
Cerri, Andrea; Frosini, Patrizio A brief introduction to multidimensional persistent Betti numbers. (English) Zbl 1480.55004 Devaney, Robert L. (ed.) et al., Topological dynamics and topological data analysis. IWCTA 2018. Selected papers based on the presentations at the international workshop and conference on topology & applications, Kochi, India, December 9–11, 2018. Singapore: Springer. Springer Proc. Math. Stat. 350, 215-228 (2021). MSC: 55N31 57R19 65D18 68U05 62R40 55-02 PDFBibTeX XMLCite \textit{A. Cerri} and \textit{P. Frosini}, Springer Proc. Math. Stat. 350, 215--228 (2021; Zbl 1480.55004) Full Text: DOI
Bjerkevik, Håvard Bakke; Botnan, Magnus Bakke; Kerber, Michael Computing the interleaving distance is NP-hard. (English) Zbl 1460.55006 Found. Comput. Math. 20, No. 5, 1237-1271 (2020). Reviewer: Yuichi Ike (Kawasaki) MSC: 55N31 15A83 68Q17 PDFBibTeX XMLCite \textit{H. B. Bjerkevik} et al., Found. Comput. Math. 20, No. 5, 1237--1271 (2020; Zbl 1460.55006) Full Text: DOI arXiv
Vipond, Oliver Multiparameter persistence landscapes. (English) Zbl 1505.55015 J. Mach. Learn. Res. 21, Paper No. 61, 38 p. (2020). Reviewer: Bastian Rieck (Bern) MSC: 55N31 68U03 68T05 62R40 68T07 PDFBibTeX XMLCite \textit{O. Vipond}, J. Mach. Learn. Res. 21, Paper No. 61, 38 p. (2020; Zbl 1505.55015) Full Text: arXiv Link
Boissonnat, Jean-Daniel; Pritam, Siddharth Computing persistent homology of flag complexes via strong collapses. (English) Zbl 1519.55003 Barequet, Gill (ed.) et al., 35th international symposium on computational geometry, SoCG 2019, Portland, Oregon, USA, June 18–21, 2019. Proceedings. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 129, Article 55, 15 p. (2019). MSC: 55N35 68W40 PDFBibTeX XMLCite \textit{J.-D. Boissonnat} and \textit{S. Pritam}, LIPIcs -- Leibniz Int. Proc. Inform. 129, Article 55, 15 p. (2019; Zbl 1519.55003) Full Text: DOI
Kerber, Michael; Lesnick, Michael; Oudot, Steve Exact computation of the matching distance on 2-parameter persistence modules. (English) Zbl 07559246 Barequet, Gill (ed.) et al., 35th international symposium on computational geometry, SoCG 2019, Portland, Oregon, USA, June 18–21, 2019. Proceedings. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 129, Article 46, 15 p. (2019). Reviewer: Haibin Hang (Middletown) MSC: 55N31 68U03 PDFBibTeX XMLCite \textit{M. Kerber} et al., LIPIcs -- Leibniz Int. Proc. Inform. 129, Article 46, 15 p. (2019; Zbl 07559246) Full Text: DOI
Cerri, Andrea; Ethier, Marc; Frosini, Patrizio On the geometrical properties of the coherent matching distance in 2D persistent homology. (English) Zbl 1440.55003 J. Appl. Comput. Topol. 3, No. 4, 381-422 (2019). Reviewer: Henry Adams (Fort Collins) MSC: 55N31 57R19 65D18 68U05 PDFBibTeX XMLCite \textit{A. Cerri} et al., J. Appl. Comput. Topol. 3, No. 4, 381--422 (2019; Zbl 1440.55003) Full Text: DOI arXiv
Kerber, Michael; Schreiber, Hannah Barcodes of towers and a streaming algorithm for persistent homology. (English) Zbl 1445.55004 Discrete Comput. Geom. 61, No. 4, 852-879 (2019). Reviewer: Ismet Karaca (Izmir) MSC: 55N31 68W27 68U03 PDFBibTeX XMLCite \textit{M. Kerber} and \textit{H. Schreiber}, Discrete Comput. Geom. 61, No. 4, 852--879 (2019; Zbl 1445.55004) Full Text: DOI
Choudhary, Aruni; Kerber, Michael; Raghvendra, Sharath Polynomial-sized topological approximations using the permutahedron. (English) Zbl 1441.62937 Discrete Comput. Geom. 61, No. 1, 42-80 (2019). MSC: 62R40 55N31 11H06 68W25 PDFBibTeX XMLCite \textit{A. Choudhary} et al., Discrete Comput. Geom. 61, No. 1, 42--80 (2019; Zbl 1441.62937) Full Text: DOI
Boissonnat, Jean-Daniel; Pritam, Siddharth; Pareek, Divyansh Strong collapse for persistence. (English) Zbl 1524.68390 Azar, Yossi (ed.) et al., 26th annual European symposium on algorithms, ESA 2018, August 20–22, 2018, Helsinki, Finland. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 112, Article 67, 13 p. (2018). MSC: 68U03 55N31 PDFBibTeX XMLCite \textit{J.-D. Boissonnat} et al., LIPIcs -- Leibniz Int. Proc. Inform. 112, Article 67, 13 p. (2018; Zbl 1524.68390) Full Text: DOI arXiv
Bjerkevik, Håvard Bakke; Botnan, Magnus Bakke Computational complexity of the interleaving distance. (English) Zbl 1489.68103 Speckmann, Bettina (ed.) et al., 34th international symposium on computational geometry, SoCG 2018, June 11–14, 2018, Budapest, Hungary. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 99, Article 13, 15 p. (2018). MSC: 68Q25 55N31 68Q17 PDFBibTeX XMLCite \textit{H. B. Bjerkevik} and \textit{M. B. Botnan}, LIPIcs -- Leibniz Int. Proc. Inform. 99, Article 13, 15 p. (2018; Zbl 1489.68103) Full Text: DOI arXiv
Choudhary, Aruni; Kerber, Michael; Raghvendra, Sharath Improved approximate Rips filtrations with shifted integer lattices. (English) Zbl 1442.68244 Pruhs, Kirk (ed.) et al., 25th European symposium on algorithms, ESA 2017, Vienna, Austria, September 4–6, 2017. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 87, Article 28, 13 p. (2017). MSC: 68U03 05E45 55N31 55U10 68W25 PDFBibTeX XMLCite \textit{A. Choudhary} et al., LIPIcs -- Leibniz Int. Proc. Inform. 87, Article 28, 13 p. (2017; Zbl 1442.68244) Full Text: DOI arXiv
Halperin, Dan; Kerber, Michael; Shaharabani, Doron The offset filtration of convex objects. (English) Zbl 1466.68074 Bansal, Nikhil (ed.) et al., Algorithms – ESA 2015. 23rd annual European symposium, Patras, Greece, September 14–16, 2015. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 9294, 705-716 (2015). MSC: 68U05 52B55 57Z25 PDFBibTeX XMLCite \textit{D. Halperin} et al., Lect. Notes Comput. Sci. 9294, 705--716 (2015; Zbl 1466.68074) Full Text: DOI arXiv