Maria, Clément; Schreiber, Hannah Discrete Morse theory for computing zigzag persistence. (English) Zbl 07802607 Discrete Comput. Geom. 71, No. 2, 708-737 (2024). MSC: 55N31 PDFBibTeX XMLCite \textit{C. Maria} and \textit{H. Schreiber}, Discrete Comput. Geom. 71, No. 2, 708--737 (2024; Zbl 07802607) Full Text: DOI
Chachólski, Wojciech; Giunti, Barbara; Jin, Alvin; Landi, Claudia Decomposing filtered chain complexes: geometry behind barcoding algorithms. (English) Zbl 1509.55002 Comput. Geom. 109, Article ID 101938, 14 p. (2023). Reviewer: Beatrice Bleile (Armidale) MSC: 55N31 55U15 PDFBibTeX XMLCite \textit{W. Chachólski} et al., Comput. Geom. 109, Article ID 101938, 14 p. (2023; Zbl 1509.55002) Full Text: DOI arXiv
Lawson, Austin; Hoffman, Tyler; Chung, Yu-Min; Keegan, Kaitlin; Day, Sarah A density-based approach to feature detection in persistence diagrams for firn data. (English) Zbl 07805162 Found. Data Sci. 4, No. 4, 623-639 (2022). MSC: 55N31 62R40 62H30 PDFBibTeX XMLCite \textit{A. Lawson} et al., Found. Data Sci. 4, No. 4, 623--639 (2022; Zbl 07805162) Full Text: DOI
Duchin, Moon; Needham, Tom; Weighill, Thomas The (homological) persistence of gerrymandering. (English) Zbl 07805161 Found. Data Sci. 4, No. 4, 581-622 (2022). MSC: 62R40 55N31 68T09 PDFBibTeX XMLCite \textit{M. Duchin} et al., Found. Data Sci. 4, No. 4, 581--622 (2022; Zbl 07805161) Full Text: DOI arXiv
Lupo, Umberto; Medina-Mardones, Anibal M.; Tauzin, Guillaume Persistence Steenrod modules. (English) Zbl 1510.55005 J. Appl. Comput. Topol. 6, No. 4, 475-502 (2022). Reviewer: My Ismail Mamouni (Rabat) MSC: 55N31 55S10 62R40 68T09 PDFBibTeX XMLCite \textit{U. Lupo} et al., J. Appl. Comput. Topol. 6, No. 4, 475--502 (2022; Zbl 1510.55005) Full Text: DOI arXiv
Liu, Jian; Xia, Ke-Lin; Wu, Jie; Yau, Stephen Shing-Toung; Wei, Guo-Wei Biomolecular topology: modelling and analysis. (English) Zbl 1501.55006 Acta Math. Sin., Engl. Ser. 38, No. 10, 1901-1938 (2022). MSC: 55N31 92E10 92D20 62R40 92C40 57Z10 55-02 57-02 92-02 PDFBibTeX XMLCite \textit{J. Liu} et al., Acta Math. Sin., Engl. Ser. 38, No. 10, 1901--1938 (2022; Zbl 1501.55006) Full Text: DOI
Bando, Hiroaki; Kaji, Shizuo; Yaguchi, Takaharu Causal inference for empirical dynamical systems based on persistent homology. (English) Zbl 1507.37111 JSIAM Lett. 14, 69-72 (2022). MSC: 37M10 55N31 PDFBibTeX XMLCite \textit{H. Bando} et al., JSIAM Lett. 14, 69--72 (2022; Zbl 1507.37111) Full Text: DOI
Zhou, Youjia; Saul, Nathaniel; Safarli, Ilkin; Krishnamoorthy, Bala; Wang, Bei Stitch fix for mapper and topological gains. (English) Zbl 1507.55011 Gasparovic, Ellen (ed.) et al., Research in computational topology 2. Proceedings of the second women in computational topology, WinCompTop, research collaboration workshop, Mathematical Sciences Institute, MSI, Australian National University, ANU, Canberra, Australia, July 1–5, 2019. Cham: Springer. Assoc. Women Math. Ser. 30, 265-294 (2022). MSC: 55N31 62R40 PDFBibTeX XMLCite \textit{Y. Zhou} et al., Assoc. Women Math. Ser. 30, 265--294 (2022; Zbl 1507.55011) Full Text: DOI arXiv
Chung, Yu-Min; Lawson, Austin Persistence curves: a canonical framework for summarizing persistence diagrams. (English) Zbl 1497.55008 Adv. Comput. Math. 48, No. 1, Paper No. 6, 42 p. (2022). Reviewer: R. U. Gobithaasan (Terengganu) MSC: 55N31 62R40 68T09 PDFBibTeX XMLCite \textit{Y.-M. Chung} and \textit{A. Lawson}, Adv. Comput. Math. 48, No. 1, Paper No. 6, 42 p. (2022; Zbl 1497.55008) Full Text: DOI arXiv
Watanabe, Satoru; Yamana, Hayato Topological measurement of deep neural networks using persistent homology. (English) Zbl 07473194 Ann. Math. Artif. Intell. 90, No. 1, 75-92 (2022). MSC: 68T07 55N31 PDFBibTeX XMLCite \textit{S. Watanabe} and \textit{H. Yamana}, Ann. Math. Artif. Intell. 90, No. 1, 75--92 (2022; Zbl 07473194) Full Text: DOI arXiv
Centeno, Eduarda Gervini Zampieri; Moreni, Giulia; Vriend, Chris; Douw, Linda; Santos, Fernando Antônio Nóbrega A Python hands-on tutorial on network and topological neuroscience. (English) Zbl 1486.92008 Nielsen, Frank (ed.) et al., Geometric science of information. 5th international conference, GSI 2021, Paris, France, July 21–23, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12829, 665-673 (2021). MSC: 92B20 92C55 62P10 62R40 PDFBibTeX XMLCite \textit{E. G. Z. Centeno} et al., Lect. Notes Comput. Sci. 12829, 665--673 (2021; Zbl 1486.92008) Full Text: DOI
Wei, Xiaoqi; Wei, Guo-Wei Homotopy continuation for the spectra of persistent Laplacians. (English) Zbl 1494.55011 Found. Data Sci. 3, No. 4, 677-700 (2021). Reviewer: Bastian Rieck (Bern) MSC: 55N31 55U10 65H14 PDFBibTeX XMLCite \textit{X. Wei} and \textit{G.-W. Wei}, Found. Data Sci. 3, No. 4, 677--700 (2021; Zbl 1494.55011) Full Text: DOI
Bauer, Ulrich Ripser: efficient computation of Vietoris-Rips persistence barcodes. (English) Zbl 1476.55012 J. Appl. Comput. Topol. 5, No. 3, 391-423 (2021). MSC: 55N31 55-04 PDFBibTeX XMLCite \textit{U. Bauer}, J. Appl. Comput. Topol. 5, No. 3, 391--423 (2021; Zbl 1476.55012) Full Text: DOI arXiv
Ciocanel, Maria-Veronica; Juenemann, Riley; Dawes, Adriana T.; McKinley, Scott A. Topological data analysis approaches to uncovering the timing of ring structure onset in filamentous networks. (English) Zbl 1460.92063 Bull. Math. Biol. 83, No. 3, Paper No. 21, 25 p. (2021). MSC: 92C37 92C42 62P15 62R40 PDFBibTeX XMLCite \textit{M.-V. Ciocanel} et al., Bull. Math. Biol. 83, No. 3, Paper No. 21, 25 p. (2021; Zbl 1460.92063) Full Text: DOI arXiv
Feng, Michelle; Porter, Mason A. Persistent homology of geospatial data: a case study with voting. (English) Zbl 1460.62201 SIAM Rev. 63, No. 1, 67-99 (2021). MSC: 62P25 62R40 62M30 55N31 55U10 91D20 68U05 PDFBibTeX XMLCite \textit{M. Feng} and \textit{M. A. Porter}, SIAM Rev. 63, No. 1, 67--99 (2021; Zbl 1460.62201) Full Text: DOI arXiv
Rieck, Bastian; Sadlo, Filip; Leitte, Heike Hierarchies and ranks for persistence pairs. (English) Zbl 1479.55013 Carr, Hamish (ed.) et al., Topological methods in data analysis and visualization V. Theory, algorithms, and applications. Selected papers based on the presentations at the TopoInVis workshop, Tokyo, Japan, February 27–28, 2017. Cham: Springer. Math. Vis., 3-17 (2020). Reviewer: Yuichi Ike (Tokyo) MSC: 55N31 PDFBibTeX XMLCite \textit{B. Rieck} et al., in: Topological methods in data analysis and visualization V. Theory, algorithms, and applications. Selected papers based on the presentations at the TopoInVis workshop, Tokyo, Japan, February 27--28, 2017. Cham: Springer. 3--17 (2020; Zbl 1479.55013) Full Text: DOI arXiv
Som, Anirudh; Ramamurthy, Karthikeyan Natesan; Turaga, Pavan Geometric metrics for topological representations. (English) Zbl 1512.62108 Grohs, Philipp (ed.) et al., Handbook of variational methods for nonlinear geometric data. Cham: Springer. 415-441 (2020). MSC: 62R40 54H30 57Z25 PDFBibTeX XMLCite \textit{A. Som} et al., in: Handbook of variational methods for nonlinear geometric data. Cham: Springer. 415--441 (2020; Zbl 1512.62108) Full Text: DOI
Lotz, Martin Persistent homology for low-complexity models. (English) Zbl 1472.62180 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2230, Article ID 20190081, 21 p. (2019). MSC: 62R40 55N31 62D10 60D05 60E15 PDFBibTeX XMLCite \textit{M. Lotz}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2230, Article ID 20190081, 21 p. (2019; Zbl 1472.62180) Full Text: DOI arXiv Link
Boissonnat, Jean-Daniel; Maria, Clément Computing persistent homology with various coefficient fields in a single pass. (English) Zbl 1476.55013 J. Appl. Comput. Topol. 3, No. 1-2, 59-84 (2019). Reviewer: R. U. Gobithaasan (Terengganu) MSC: 55N31 62R40 68T09 PDFBibTeX XMLCite \textit{J.-D. Boissonnat} and \textit{C. Maria}, J. Appl. Comput. Topol. 3, No. 1--2, 59--84 (2019; Zbl 1476.55013) Full Text: DOI arXiv
Mémoli, Facundo; Singhal, Kritika A primer on persistent homology of finite metric spaces. (English) Zbl 1417.62013 Bull. Math. Biol. 81, No. 7, 2074-2116 (2019). MSC: 62-07 62H30 62P10 92C20 55N35 PDFBibTeX XMLCite \textit{F. Mémoli} and \textit{K. Singhal}, Bull. Math. Biol. 81, No. 7, 2074--2116 (2019; Zbl 1417.62013) 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
Dey, Tamal K.; Shi, Dayu; Wang, Yusu SimBa: an efficient tool for approximating Rips-filtration persistence via simplicial batch collapse. (English) Zbl 1521.68230 ACM J. Exp. Algorithm. 24, No. 1, Article No. 1.5, 16 p. (2019). MSC: 68U03 55N31 PDFBibTeX XMLCite \textit{T. K. Dey} et al., ACM J. Exp. Algorithm. 24, No. 1, Article No. 1.5, 16 p. (2019; Zbl 1521.68230) Full Text: DOI
Gidea, Marian; Katz, Yuri Topological data analysis of financial time series: landscapes of crashes. (English) Zbl 1514.62206 Physica A 491, 820-834 (2018). MSC: 62P05 62M10 62R40 PDFBibTeX XMLCite \textit{M. Gidea} and \textit{Y. Katz}, Physica A 491, 820--834 (2018; Zbl 1514.62206) Full Text: DOI arXiv
Dłotko, Paweł; Wanner, Thomas Rigorous cubical approximation and persistent homology of continuous functions. (English) Zbl 1409.41014 Comput. Math. Appl. 75, No. 5, 1648-1666 (2018). MSC: 41A63 55N35 PDFBibTeX XMLCite \textit{P. Dłotko} and \textit{T. Wanner}, Comput. Math. Appl. 75, No. 5, 1648--1666 (2018; Zbl 1409.41014) Full Text: DOI arXiv
Carrière, Mathieu; Michel, Bertrand; Oudot, Steve Statistical analysis and parameter selection for Mapper. (English) Zbl 1444.62172 J. Mach. Learn. Res. 19, Paper No. 12, 39 p. (2018). MSC: 62R40 62G15 PDFBibTeX XMLCite \textit{M. Carrière} et al., J. Mach. Learn. Res. 19, Paper No. 12, 39 p. (2018; Zbl 1444.62172) Full Text: arXiv Link
Bubenik, Peter; Dłotko, Paweł A persistence landscapes toolbox for topological statistics. (English) Zbl 1348.68186 J. Symb. Comput. 78, 91-114 (2017). MSC: 68T05 55N35 68U05 PDFBibTeX XMLCite \textit{P. Bubenik} and \textit{P. Dłotko}, J. Symb. Comput. 78, 91--114 (2017; Zbl 1348.68186) Full Text: DOI arXiv
Bauer, Ulrich; Kerber, Michael; Reininghaus, Jan; Wagner, Hubert Phat – persistent homology algorithms toolbox. (English) Zbl 1348.68181 J. Symb. Comput. 78, 76-90 (2017). MSC: 68T05 55N35 68-04 68W30 PDFBibTeX XMLCite \textit{U. Bauer} et al., J. Symb. Comput. 78, 76--90 (2017; Zbl 1348.68181) Full Text: DOI
Boissonnat, Jean-Daniel; Dey, Tamal K.; Maria, Clément The compressed annotation matrix: an efficient data structure for computing persistent cohomology. (English) Zbl 1330.68050 Algorithmica 73, No. 3, 607-619 (2015). MSC: 68P05 55N35 55U10 68U05 PDFBibTeX XMLCite \textit{J.-D. Boissonnat} et al., Algorithmica 73, No. 3, 607--619 (2015; Zbl 1330.68050) Full Text: DOI arXiv