Grbić, Jelena; Wu, Jie; Xia, Kelin; Wei, Guo-Wei Aspects of topological approaches for data science. (English) Zbl 07547913 Found. Data Sci. 4, No. 2, 165-216 (2022). MSC: 55N31 05C65 05C69 05C70 18N50 55U05 55U10 62R40 PDF BibTeX XML Cite \textit{J. Grbić} et al., Found. Data Sci. 4, No. 2, 165--216 (2022; Zbl 07547913) Full Text: DOI OpenURL
Kališnik, Sara; Lehn, Christian; Limic, Vlada Geometric and probabilistic limit theorems in topological data analysis. (English) Zbl 1480.55006 Adv. Appl. Math. 131, Article ID 102244, 36 p. (2021). Reviewer: My Ismail Mamouni (Rabat) MSC: 55N31 57N65 60B12 60D05 55N35 60B05 PDF BibTeX XML Cite \textit{S. Kališnik} et al., Adv. Appl. Math. 131, Article ID 102244, 36 p. (2021; Zbl 1480.55006) Full Text: DOI arXiv OpenURL
Ren, Shiquan; Wu, Chengyuan; Wu, Jie Computational tools in weighted persistent homology. (English) Zbl 1478.55004 Chin. Ann. Math., Ser. B 42, No. 2, 237-258 (2021). Reviewer: Jason Hanson (Redmond) MSC: 55N31 55T99 55U20 55U10 PDF BibTeX XML Cite \textit{S. Ren} et al., Chin. Ann. Math., Ser. B 42, No. 2, 237--258 (2021; Zbl 1478.55004) Full Text: DOI arXiv OpenURL
Agami, Sarit; Adler, Robert J. Modeling of persistent homology. (English) Zbl 07529933 Commun. Stat., Theory Methods 49, No. 20, 4871-4888 (2020). MSC: 62-XX PDF BibTeX XML Cite \textit{S. Agami} and \textit{R. J. Adler}, Commun. Stat., Theory Methods 49, No. 20, 4871--4888 (2020; Zbl 07529933) Full Text: DOI OpenURL
Maroulas, Vasileios; Nasrin, Farzana; Oballe, Christopher A Bayesian framework for persistent homology. (English) Zbl 1484.62032 SIAM J. Math. Data Sci. 2, No. 1, 48-74 (2020). MSC: 62F15 60G55 62R40 PDF BibTeX XML Cite \textit{V. Maroulas} et al., SIAM J. Math. Data Sci. 2, No. 1, 48--74 (2020; Zbl 1484.62032) Full Text: DOI arXiv OpenURL
Christianson, Nicolas H.; Blevins, Ann Sizemore; Bassett, Danielle S. Architecture and evolution of semantic networks in mathematics texts. (English) Zbl 1472.91037 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2239, Article ID 20190741, 20 p. (2020). MSC: 91F20 62R40 05C82 PDF BibTeX XML Cite \textit{N. H. Christianson} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2239, Article ID 20190741, 20 p. (2020; Zbl 1472.91037) Full Text: DOI arXiv OpenURL
Cang, Zixuan; Munch, Elizabeth; Wei, Guo-Wei Evolutionary homology on coupled dynamical systems with applications to protein flexibility analysis. (English) Zbl 1460.55007 J. Appl. Comput. Topol. 4, No. 4, 481-507 (2020). Reviewer: Jonathan Hodgson (Swarthmore) MSC: 55N31 62R40 37N25 92E10 PDF BibTeX XML Cite \textit{Z. Cang} et al., J. Appl. Comput. Topol. 4, No. 4, 481--507 (2020; Zbl 1460.55007) Full Text: DOI OpenURL
Vipond, Oliver Multiparameter persistence landscapes. (English) Zbl 07255092 J. Mach. Learn. Res. 21, Paper No. 61, 38 p. (2020). MSC: 68T05 PDF BibTeX XML Cite \textit{O. Vipond}, J. Mach. Learn. Res. 21, Paper No. 61, 38 p. (2020; Zbl 07255092) Full Text: arXiv Link OpenURL
Vejdemo-Johansson, Mikael; Leshchenko, Alisa Certified mapper: repeated testing for acyclicity and obstructions to the nerve lemma. (English) Zbl 1450.62142 Baas, Nils (ed.) et al., Topological data analysis. Proceedings of the Abel symposium 2018, Geiranger, Norway, June 4–8, 2018. Cham: Springer. Abel Symp. 15, 491-515 (2020). MSC: 62R40 62J15 55N31 PDF BibTeX XML Cite \textit{M. Vejdemo-Johansson} and \textit{A. Leshchenko}, Abel Symp. 15, 491--515 (2020; Zbl 1450.62142) Full Text: DOI arXiv OpenURL
Bubenik, Peter The persistence landscape and some of its properties. (English) Zbl 1453.62807 Baas, Nils (ed.) et al., Topological data analysis. Proceedings of the Abel symposium 2018, Geiranger, Norway, June 4–8, 2018. Cham: Springer. Abel Symp. 15, 97-117 (2020). MSC: 62R40 62G07 55N31 68Q32 PDF BibTeX XML Cite \textit{P. Bubenik}, Abel Symp. 15, 97--117 (2020; Zbl 1453.62807) Full Text: DOI arXiv OpenURL
Berry, Eric; Chen, Yen-Chi; Cisewski-Kehe, Jessi; Fasy, Brittany Terese Functional summaries of persistence diagrams. (English) Zbl 1452.62999 J. Appl. Comput. Topol. 4, No. 2, 211-262 (2020). Reviewer: Henri Riihimäki (Aberdeen) MSC: 62R40 62R10 62H30 62G15 55N31 68T05 62P10 PDF BibTeX XML Cite \textit{E. Berry} et al., J. Appl. Comput. Topol. 4, No. 2, 211--262 (2020; Zbl 1452.62999) Full Text: DOI arXiv OpenURL
Som, Anirudh; Ramamurthy, Karthikeyan Natesan; Turaga, Pavan Geometric metrics for topological representations. (English) Zbl 07225684 Grohs, Philipp (ed.) et al., Handbook of variational methods for nonlinear geometric data. Cham: Springer. 415-441 (2020). MSC: 65Dxx 65Mxx 65Nxx PDF BibTeX XML Cite \textit{A. Som} et al., in: Handbook of variational methods for nonlinear geometric data. Cham: Springer. 415--441 (2020; Zbl 07225684) Full Text: DOI OpenURL
Monod, Anthea; Kališnik, Sara; Patiño-Galindo, Juan Ángel; Crawford, Lorin Tropical sufficient statistics for persistent homology. (English) Zbl 1443.62018 SIAM J. Appl. Algebra Geom. 3, No. 2, 337-371 (2019). MSC: 62B05 62R40 55N31 14T90 62P10 92D30 PDF BibTeX XML Cite \textit{A. Monod} et al., SIAM J. Appl. Algebra Geom. 3, No. 2, 337--371 (2019; Zbl 1443.62018) Full Text: DOI arXiv OpenURL
Adler, Robert J.; Agami, Sarit Modelling persistence diagrams with planar point processes, and revealing topology with bagplots. (English) Zbl 1441.62936 J. Appl. Comput. Topol. 3, No. 3, 139-183 (2019). MSC: 62R40 55N31 62G10 62H11 62M30 60G55 PDF BibTeX XML Cite \textit{R. J. Adler} and \textit{S. Agami}, J. Appl. Comput. Topol. 3, No. 3, 139--183 (2019; Zbl 1441.62936) Full Text: DOI arXiv OpenURL
Kališnik, Sara Tropical coordinates on the space of persistence barcodes. (English) Zbl 1423.55007 Found. Comput. Math. 19, No. 1, 101-129 (2019). MSC: 55N35 PDF BibTeX XML Cite \textit{S. Kališnik}, Found. Comput. Math. 19, No. 1, 101--129 (2019; Zbl 1423.55007) Full Text: DOI arXiv OpenURL
Marchese, Andrew; Maroulas, Vasileios Signal classification with a point process distance on the space of persistence diagrams. (English) Zbl 1416.94030 Adv. Data Anal. Classif., ADAC 12, No. 3, 657-682 (2018). MSC: 94A12 62H30 55N35 PDF BibTeX XML Cite \textit{A. Marchese} and \textit{V. Maroulas}, Adv. Data Anal. Classif., ADAC 12, No. 3, 657--682 (2018; Zbl 1416.94030) Full Text: DOI OpenURL
Skryzalin, Jacek; Carlsson, Gunnar Numeric invariants from multidimensional persistence. (English) Zbl 1439.55007 J. Appl. Comput. Topol. 1, No. 1, 89-119 (2017). MSC: 55N31 62R40 PDF BibTeX XML Cite \textit{J. Skryzalin} and \textit{G. Carlsson}, J. Appl. Comput. Topol. 1, No. 1, 89--119 (2017; Zbl 1439.55007) Full Text: DOI arXiv OpenURL
Perea, Jose A.; Harer, John Sliding windows and persistence: an application of topological methods to signal analysis. (English) Zbl 1325.37054 Found. Comput. Math. 15, No. 3, 799-838 (2015). Reviewer: Jonathan Hodgson (Swarthmore) MSC: 37M10 55U99 68W05 57M99 PDF BibTeX XML Cite \textit{J. A. Perea} and \textit{J. Harer}, Found. Comput. Math. 15, No. 3, 799--838 (2015; Zbl 1325.37054) Full Text: DOI arXiv OpenURL