Leygonie, Jacob; Oudot, Steve; Tillmann, Ulrike A framework for differential calculus on persistence barcodes. (English) Zbl 07568623 Found. Comput. Math. 22, No. 4, 1069-1131 (2022). MSC: 55N31 62R40 PDF BibTeX XML Cite \textit{J. Leygonie} et al., Found. Comput. Math. 22, No. 4, 1069--1131 (2022; Zbl 07568623) Full Text: DOI OpenURL
Leygonie, Jacob; Tillmann, Ulrike The fiber of persistent homology for simplicial complexes. (English) Zbl 07559528 J. Pure Appl. Algebra 226, No. 12, Article ID 107099, 45 p. (2022). MSC: 55N31 62R40 55U10 52B05 PDF BibTeX XML Cite \textit{J. Leygonie} and \textit{U. Tillmann}, J. Pure Appl. Algebra 226, No. 12, Article ID 107099, 45 p. (2022; Zbl 07559528) Full Text: DOI OpenURL
Mémoli, Facundo; Wan, Zhengchao; Wang, Yusu Persistent Laplacians: properties, algorithms and implications. (English) Zbl 07556849 SIAM J. Math. Data Sci. 4, No. 2, 858-884 (2022). MSC: 55N31 05C50 58A14 94C15 PDF BibTeX XML Cite \textit{F. Mémoli} et al., SIAM J. Math. Data Sci. 4, No. 2, 858--884 (2022; Zbl 07556849) Full Text: DOI OpenURL
Wiseman, Jim Persistence of Morse decompositions over grid resolution for maps and time series. (English) Zbl 07553294 J. Appl. Comput. Topol. 6, No. 2, 247-269 (2022). MSC: 55N31 37B20 37B35 37B65 37E25 37M10 PDF BibTeX XML Cite \textit{J. Wiseman}, J. Appl. Comput. Topol. 6, No. 2, 247--269 (2022; Zbl 07553294) Full Text: DOI OpenURL
Adamaszek, Michał; Adams, Henry On Vietoris-Rips complexes of hypercube graphs. (English) Zbl 07553291 J. Appl. Comput. Topol. 6, No. 2, 177-192 (2022). MSC: 05E45 55P10 55U10 55N31 PDF BibTeX XML Cite \textit{M. Adamaszek} and \textit{H. Adams}, J. Appl. Comput. Topol. 6, No. 2, 177--192 (2022; Zbl 07553291) Full Text: DOI OpenURL
Rieser, A.; Trujillo-Negrete, A. Künneth theorems for Vietoris-Rips homology. (English) Zbl 07551257 Acta Math. Hung. 166, No. 2, 239-253 (2022). MSC: 55N31 55N35 55N45 55U25 05C99 55U10 PDF BibTeX XML Cite \textit{A. Rieser} and \textit{A. Trujillo-Negrete}, Acta Math. Hung. 166, No. 2, 239--253 (2022; Zbl 07551257) Full Text: DOI OpenURL
Myers, Audun D.; Khasawneh, Firas A.; Fasy, Brittany T. ANAPT: additive noise analysis for persistence thresholding. (English) Zbl 07547915 Found. Data Sci. 4, No. 2, 243-269 (2022). MSC: 55-08 PDF BibTeX XML Cite \textit{A. D. Myers} et al., Found. Data Sci. 4, No. 2, 243--269 (2022; Zbl 07547915) Full Text: DOI OpenURL
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
Xian, Lu; Adams, Henry; Topaz, Chad M.; Ziegelmeier, Lori Capturing dynamics of time-varying data via topology. (English) Zbl 07547908 Found. Data Sci. 4, No. 1, 1-36 (2022). MSC: 37N99 55N31 62R40 92B99 PDF BibTeX XML Cite \textit{L. Xian} et al., Found. Data Sci. 4, No. 1, 1--36 (2022; Zbl 07547908) Full Text: DOI OpenURL
Conceição, Pedro; Morimoto, Juliano ‘Holey’ niche! finding holes in niche hypervolumes using persistence homology. (English) Zbl 07547892 J. Math. Biol. 84, No. 7, Paper No. 58, 13 p. (2022). MSC: 92D40 55N31 PDF BibTeX XML Cite \textit{P. Conceição} and \textit{J. Morimoto}, J. Math. Biol. 84, No. 7, Paper No. 58, 13 p. (2022; Zbl 07547892) Full Text: DOI OpenURL
Kandanaarachchi, Sevvandi; Hyndman, Rob J. Leave-one-out kernel density estimates for outlier detection. (English) Zbl 07547635 J. Comput. Graph. Stat. 31, No. 2, 586-599 (2022). MSC: 62-XX PDF BibTeX XML Cite \textit{S. Kandanaarachchi} and \textit{R. J. Hyndman}, J. Comput. Graph. Stat. 31, No. 2, 586--599 (2022; Zbl 07547635) Full Text: DOI OpenURL
Virk, Žiga Footprints of geodesics in persistent homology. (English) Zbl 07547006 Mediterr. J. Math. 19, No. 4, Paper No. 160, 29 p. (2022). MSC: 55N31 57R19 55U05 57N16 57N65 PDF BibTeX XML Cite \textit{Ž. Virk}, Mediterr. J. Math. 19, No. 4, Paper No. 160, 29 p. (2022; Zbl 07547006) Full Text: DOI OpenURL
Catanzaro, Michael J.; Przybylski, Lee; Weber, Eric S. Persistence landscapes of affine fractals. (English) Zbl 07546989 Demonstr. Math. 55, 163-192 (2022). MSC: 55N31 28A80 37M22 47H09 PDF BibTeX XML Cite \textit{M. J. Catanzaro} et al., Demonstr. Math. 55, 163--192 (2022; Zbl 07546989) Full Text: DOI OpenURL
Schweidtmann, Artur M.; Weber, Jana M.; Wende, Christian; Netze, Linus; Mitsos, Alexander Obey validity limits of data-driven models through topological data analysis and one-class classification. (English) Zbl 07545226 Optim. Eng. 23, No. 2, 855-876 (2022). MSC: 90C26 90C90 PDF BibTeX XML Cite \textit{A. M. Schweidtmann} et al., Optim. Eng. 23, No. 2, 855--876 (2022; Zbl 07545226) Full Text: DOI OpenURL
Beshkov, Kosio; Tiesinga, Paul Geodesic-based distance reveals nonlinear topological features in neural activity from mouse visual cortex. (English) Zbl 07543820 Biol. Cybern. 116, No. 1, 53-68 (2022). MSC: 92B20 55N31 PDF BibTeX XML Cite \textit{K. Beshkov} and \textit{P. Tiesinga}, Biol. Cybern. 116, No. 1, 53--68 (2022; Zbl 07543820) Full Text: DOI OpenURL
Buckmire, Ron Book review of: J. Ellenberg, Shape. The hidden geometry of information, biology, strategy, democracy, and everything else. (English) Zbl 07542945 Am. Math. Mon. 129, No. 6, 597-600 (2022). MSC: 00A17 00A09 62R40 68T09 55N31 PDF BibTeX XML Cite \textit{R. Buckmire}, Am. Math. Mon. 129, No. 6, 597--600 (2022; Zbl 07542945) Full Text: DOI OpenURL
Bubenik, Peter; Elchesen, Alex Universality of persistence diagrams and the bottleneck and Wasserstein distances. (English) Zbl 07541319 Comput. Geom. 105-106, Article ID 101882, 18 p. (2022). MSC: 55N31 68Uxx 55Uxx PDF BibTeX XML Cite \textit{P. Bubenik} and \textit{A. Elchesen}, Comput. Geom. 105--106, Article ID 101882, 18 p. (2022; Zbl 07541319) Full Text: DOI OpenURL
Asashiba, Hideto; Buchet, Mickaël; Escolar, Emerson G.; Nakashima, Ken; Yoshiwaki, Michio On interval decomposability of \(2\)D persistence modules. (English) Zbl 07541316 Comput. Geom. 105-106, Article ID 101879, 33 p. (2022). MSC: 55N31 68U03 PDF BibTeX XML Cite \textit{H. Asashiba} et al., Comput. Geom. 105--106, Article ID 101879, 33 p. (2022; Zbl 07541316) Full Text: DOI OpenURL
Lesnick, Michael; Wright, Matthew Computing minimal presentations and bigraded Betti numbers of 2-parameter persistent homology. (English) Zbl 07538381 SIAM J. Appl. Algebra Geom. 6, No. 2, 267-298 (2022). MSC: 55N31 13D02 PDF BibTeX XML Cite \textit{M. Lesnick} and \textit{M. Wright}, SIAM J. Appl. Algebra Geom. 6, No. 2, 267--298 (2022; Zbl 07538381) Full Text: DOI OpenURL
Belchí, Francisco; Stefanou, Anastasios \(A_\infty\) persistent homology estimates detailed topology from pointcloud datasets. (English) Zbl 07536421 Discrete Comput. Geom. 68, No. 1, 274-297 (2022). MSC: 55N31 62Rxx 68Uxx 55Uxx PDF BibTeX XML Cite \textit{F. Belchí} and \textit{A. Stefanou}, Discrete Comput. Geom. 68, No. 1, 274--297 (2022; Zbl 07536421) Full Text: DOI OpenURL
Ghrist, Robert; Riess, Hans Cellular sheaves of lattices and the Tarski Laplacian. (English) Zbl 1487.18001 Homology Homotopy Appl. 24, No. 1, 325-345 (2022). MSC: 18B35 05C50 18F20 18G90 55N30 55N31 PDF BibTeX XML Cite \textit{R. Ghrist} and \textit{H. Riess}, Homology Homotopy Appl. 24, No. 1, 325--345 (2022; Zbl 1487.18001) Full Text: DOI OpenURL
Schmahl, Maximilian Structure of semi-continuous \(q\)-tame persistence modules. (English) Zbl 07536027 Homology Homotopy Appl. 24, No. 1, 117-128 (2022). MSC: 16G20 55Nxx PDF BibTeX XML Cite \textit{M. Schmahl}, Homology Homotopy Appl. 24, No. 1, 117--128 (2022; Zbl 07536027) Full Text: DOI OpenURL
Virk, Žiga A counter-example to Hausmann’s conjecture. (English) Zbl 07533995 Found. Comput. Math. 22, No. 2, 469-475 (2022). MSC: 55N31 57R19 55U05 PDF BibTeX XML Cite \textit{Ž. Virk}, Found. Comput. Math. 22, No. 2, 469--475 (2022; Zbl 07533995) Full Text: DOI OpenURL
Huntsman, Steve; Palladino, Jimmy; Robinson, Michael Topology. (English) Zbl 07533253 Goethals, Paul L. (ed.) et al., Mathematics in cyber research. Boca Raton, FL: CRC Press. 133-170 (2022). MSC: 68-02 55N30 55N31 55N35 57Q05 68M10 68P05 68P30 68R10 68T05 PDF BibTeX XML Cite \textit{S. Huntsman} et al., in: Mathematics in cyber research. Boca Raton, FL: CRC Press. 133--170 (2022; Zbl 07533253) Full Text: DOI OpenURL
Espinoza, Jesús F.; Frías-Armenta, Martín-Eduardo; Hernández-Hernández, Héctor A. Collapsibility and homological properties of \(\mathfrak{I}\)-contractible transformations. (English) Zbl 07531931 Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 42, 19 p. (2022). MSC: 05E45 05C25 05C85 55U05 55U15 PDF BibTeX XML Cite \textit{J. F. Espinoza} et al., Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 42, 19 p. (2022; Zbl 07531931) Full Text: DOI OpenURL
Knudson, Kevin; Wang, Bei Discrete stratified Morse theory. Algorithms and a user’s guide. (English) Zbl 07526456 Discrete Comput. Geom. 67, No. 4, 1023-1052 (2022). Reviewer: Nicholas A. Scoville (Collegeville) MSC: 57Q70 57N80 55N31 PDF BibTeX XML Cite \textit{K. Knudson} and \textit{B. Wang}, Discrete Comput. Geom. 67, No. 4, 1023--1052 (2022; Zbl 07526456) Full Text: DOI OpenURL
Chenavier, Nicolas; Hirsch, Christian Extremal lifetimes of persistent cycles. (English) Zbl 07523472 Extremes 25, No. 2, 299-330 (2022). MSC: 60K35 82C22 55N35 PDF BibTeX XML Cite \textit{N. Chenavier} and \textit{C. Hirsch}, Extremes 25, No. 2, 299--330 (2022; Zbl 07523472) Full Text: DOI OpenURL
Dey, Tamal K.; Mrozek, Marian; Slechta, Ryan Persistence of Conley-Morse graphs in combinatorial dynamical systems. (English) Zbl 07518337 SIAM J. Appl. Dyn. Syst. 21, No. 2, 817-839 (2022). MSC: 37B30 55N31 PDF BibTeX XML Cite \textit{T. K. Dey} et al., SIAM J. Appl. Dyn. Syst. 21, No. 2, 817--839 (2022; Zbl 07518337) Full Text: DOI OpenURL
McCleary, Alexander; Patel, Amit Edit distance and persistence diagrams over lattices. (English) Zbl 07516935 SIAM J. Appl. Algebra Geom. 6, No. 2, 134-155 (2022). MSC: 55U15 55U99 55N31 PDF BibTeX XML Cite \textit{A. McCleary} and \textit{A. Patel}, SIAM J. Appl. Algebra Geom. 6, No. 2, 134--155 (2022; Zbl 07516935) Full Text: DOI OpenURL
Oballe, Christopher; Cherne, Alan; Boothe, Dave; Kerick, Scott; Franaszczuk, Piotr J.; Maroulas, Vasileios Bayesian topological signal processing. (English) Zbl 07512203 Discrete Contin. Dyn. Syst., Ser. S 15, No. 4, 797-817 (2022). MSC: 55N31 68T07 PDF BibTeX XML Cite \textit{C. Oballe} et al., Discrete Contin. Dyn. Syst., Ser. S 15, No. 4, 797--817 (2022; Zbl 07512203) Full Text: DOI OpenURL
Paluzo-Hidalgo, Eduardo; Gonzalez-Diaz, Rocio; Aguirre-Carrazana, Guillermo Emotion recognition in talking-face videos using persistent entropy and neural networks. (English) Zbl 07510601 Electron Res. Arch. 30, No. 2, 644-660 (2022). MSC: 68-XX 94-XX PDF BibTeX XML Cite \textit{E. Paluzo-Hidalgo} et al., Electron Res. Arch. 30, No. 2, 644--660 (2022; Zbl 07510601) Full Text: DOI OpenURL
Wu, Min-Chun; Itskov, Vladimir A topological approach to inferring the intrinsic dimension of convex sensing data. (English) Zbl 1484.62133 J. Appl. Comput. Topol. 6, No. 1, 127-176 (2022). MSC: 62R40 55N31 PDF BibTeX XML Cite \textit{M.-C. Wu} and \textit{V. Itskov}, J. Appl. Comput. Topol. 6, No. 1, 127--176 (2022; Zbl 1484.62133) Full Text: DOI OpenURL
Tinarrage, Raphaël Computing persistent Stiefel-Whitney classes of line bundles. (English) Zbl 07507211 J. Appl. Comput. Topol. 6, No. 1, 65-125 (2022). Reviewer: Ran Levi (Aberdeen) MSC: 55N31 55R40 05E45 PDF BibTeX XML Cite \textit{R. Tinarrage}, J. Appl. Comput. Topol. 6, No. 1, 65--125 (2022; Zbl 07507211) Full Text: DOI OpenURL
Robinson, Michael Cosheaf representations of relations and Dowker complexes. (English) Zbl 07507210 J. Appl. Comput. Topol. 6, No. 1, 27-63 (2022). MSC: 55U10 55N31 PDF BibTeX XML Cite \textit{M. Robinson}, J. Appl. Comput. Topol. 6, No. 1, 27--63 (2022; Zbl 07507210) Full Text: DOI OpenURL
Asai, Ryo; Shah, Jay Algorithmic canonical stratifications of simplicial complexes. (English) Zbl 07506967 J. Pure Appl. Algebra 226, No. 9, Article ID 107051, 42 p. (2022). MSC: 18F20 52Bxx 55N25 55N31 55U10 PDF BibTeX XML Cite \textit{R. Asai} and \textit{J. Shah}, J. Pure Appl. Algebra 226, No. 9, Article ID 107051, 42 p. (2022; Zbl 07506967) Full Text: DOI OpenURL
Port, Alexander; Karidi, Taelin; Marcolli, Matilde Topological analysis of syntactic structures. (English) Zbl 07498613 Math. Comput. Sci. 16, No. 1, Paper No. 2, 68 p. (2022). MSC: 55N31 91F20 PDF BibTeX XML Cite \textit{A. Port} et al., Math. Comput. Sci. 16, No. 1, Paper No. 2, 68 p. (2022; Zbl 07498613) Full Text: DOI OpenURL
Zhao, Yan; Wang, Yanying; Ding, Yanhong; Han, Huiyun Topological data analysis for the energy and stability of endohedral metallofullerenes. (English) Zbl 1486.92338 J. Math. Chem. 60, No. 2, 337-352 (2022). MSC: 92E10 62R40 PDF BibTeX XML Cite \textit{Y. Zhao} et al., J. Math. Chem. 60, No. 2, 337--352 (2022; Zbl 1486.92338) Full Text: DOI OpenURL
Chocano, Pedro J.; Morón, Manuel A.; Ruiz del Portal, Francisco R. Computational approximations of compact metric spaces. (English) Zbl 1487.54042 Physica D 433, Article ID 133168, 15 p. (2022). Reviewer: Corina Mohorianu (Iaşi) MSC: 54E35 55N35 55N31 55P55 PDF BibTeX XML Cite \textit{P. J. Chocano} et al., Physica D 433, Article ID 133168, 15 p. (2022; Zbl 1487.54042) Full Text: DOI arXiv OpenURL
Yao, Wenpo; Yao, Wenli; Wang, Jun Comparative analysis of the original and amplitude permutations. (English) Zbl 1486.81137 Phys. Lett., A 430, Article ID 127977, 4 p. (2022). MSC: 81S05 35B36 20B07 35G10 55N31 PDF BibTeX XML Cite \textit{W. Yao} et al., Phys. Lett., A 430, Article ID 127977, 4 p. (2022; Zbl 1486.81137) Full Text: DOI arXiv OpenURL
Zainagutdinov, A. R.; Telezhnikov, A. V.; Maksimova, G. M. Aharonov-Bohm nanoring with periodically modulated Rashba interaction: energy spectrum and persistent currents. (English) Zbl 1486.81122 Phys. Lett., A 430, Article ID 127972, 7 p. (2022). MSC: 81Q70 16E40 70M20 78A30 81V10 22E70 35P05 PDF BibTeX XML Cite \textit{A. R. Zainagutdinov} et al., Phys. Lett., A 430, Article ID 127972, 7 p. (2022; Zbl 1486.81122) Full Text: DOI OpenURL
Chung, Yu-Min; Lawson, Austin Persistence curves: a canonical framework for summarizing persistence diagrams. (English) Zbl 07483089 Adv. Comput. Math. 48, No. 1, Paper No. 6, 42 p. (2022). MSC: 55N31 55-04 68T10 PDF BibTeX XML Cite \textit{Y.-M. Chung} and \textit{A. Lawson}, Adv. Comput. Math. 48, No. 1, Paper No. 6, 42 p. (2022; Zbl 07483089) Full Text: DOI arXiv OpenURL
Loliencar, Prachi; Heo, Giseon Phenotyping OSA: a time series analysis using fuzzy clustering and persistent homology. (English) Zbl 07478945 Int. J. Approx. Reasoning 142, 178-195 (2022). MSC: 68T37 PDF BibTeX XML Cite \textit{P. Loliencar} and \textit{G. Heo}, Int. J. Approx. Reasoning 142, 178--195 (2022; Zbl 07478945) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{S. Watanabe} and \textit{H. Yamana}, Ann. Math. Artif. Intell. 90, No. 1, 75--92 (2022; Zbl 07473194) Full Text: DOI arXiv OpenURL
Betthauser, Leo; Bubenik, Peter; Edwards, Parker B. Graded persistence diagrams and persistence landscapes. (English) Zbl 07457127 Discrete Comput. Geom. 67, No. 1, 203-230 (2022). MSC: 55N31 PDF BibTeX XML Cite \textit{L. Betthauser} et al., Discrete Comput. Geom. 67, No. 1, 203--230 (2022; Zbl 07457127) Full Text: DOI arXiv OpenURL
Dey, Tamal Krishna; Wang, Yusu Computational topology for data analysis. (English) Zbl 07455973 Cambridge: Cambridge University Press (ISBN 978-1-00-909816-8/hbk; 978-1-00-909995-0/ebook). xx, 434 p. (2022). MSC: 57-01 62-01 55N31 62R40 PDF BibTeX XML Cite \textit{T. K. Dey} and \textit{Y. Wang}, Computational topology for data analysis. Cambridge: Cambridge University Press (2022; Zbl 07455973) Full Text: DOI OpenURL
Berkouk, Nicolas; Ginot, Grégory A derived isometry theorem for sheaves. (English) Zbl 1487.55007 Adv. Math. 394, Article ID 108033, 39 p. (2022). Reviewer: Yuichi Ike (Tokyo) MSC: 55N31 18G80 35A27 PDF BibTeX XML Cite \textit{N. Berkouk} and \textit{G. Ginot}, Adv. Math. 394, Article ID 108033, 39 p. (2022; Zbl 1487.55007) Full Text: DOI arXiv OpenURL
Beltramo, Gabriele; Skraba, Primoz Persistent homology in \(\ell_\infty\) metric. (English) Zbl 07451835 Comput. Geom. 101, Article ID 101821, 28 p. (2022). MSC: 68U05 68Q25 55N35 57Q05 55U10 PDF BibTeX XML Cite \textit{G. Beltramo} and \textit{P. Skraba}, Comput. Geom. 101, Article ID 101821, 28 p. (2022; Zbl 07451835) Full Text: DOI arXiv OpenURL
Medina-Mardones, Anibal M. A computer algebra system for the study of commutativity up to coherent homotopies. (English) Zbl 1487.55001 Adv. Stud.: Euro-Tbil. Math. J. 14, No. 4, 147-157 (2021). MSC: 55-04 55P35 55U10 55S10 55S05 18M60 18M70 55N31 68W30 PDF BibTeX XML Cite \textit{A. M. Medina-Mardones}, Adv. Stud.: Euro-Tbil. Math. J. 14, No. 4, 147--157 (2021; Zbl 1487.55001) Full Text: DOI OpenURL
Kashiwara, Masaki; Schapira, Pierre Piecewise linear sheaves. (English) Zbl 07503564 Int. Math. Res. Not. 2021, No. 15, 11565-11584 (2021). Reviewer: Jun Zhang (Montréal) MSC: 55N31 PDF BibTeX XML Cite \textit{M. Kashiwara} and \textit{P. Schapira}, Int. Math. Res. Not. 2021, No. 15, 11565--11584 (2021; Zbl 07503564) Full Text: DOI OpenURL
Malbos, Philippe Tell me about …topological persistence. (Raconte moi …la persistance topologique.) (French) Zbl 1485.55008 Gaz. Math., Soc. Math. Fr. 169, 44-50 (2021). MSC: 55N31 PDF BibTeX XML Cite \textit{P. Malbos}, Gaz. Math., Soc. Math. Fr. 169, 44--50 (2021; Zbl 1485.55008) OpenURL
Berkouk, Nicolas Algebraic homotopy interleaving distance. (English) Zbl 1486.55010 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, 656-664 (2021). MSC: 55N31 55U10 PDF BibTeX XML Cite \textit{N. Berkouk}, Lect. Notes Comput. Sci. 12829, 656--664 (2021; Zbl 1486.55010) Full Text: DOI OpenURL
Curto, Carina; Paik, Joshua; Rivin, Igor Betti curves of rank one symmetric matrices. (English) Zbl 1483.55003 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, 645-655 (2021). MSC: 55N31 13P25 14H50 92C20 05C80 PDF BibTeX XML Cite \textit{C. Curto} et al., Lect. Notes Comput. Sci. 12829, 645--655 (2021; Zbl 1483.55003) Full Text: DOI OpenURL
Lukasczyk, Jonas; Beran, Jakob; Engelke, Wito; Falk, Martin; Friederici, Anke; Garth, Christoph; Hofmann, Lutz; Hotz, Ingrid; Hristov, Petar; Köpp, Wiebke; Masood, Talha Bin; Olejniczak, Małgorzata; Rosen, Paul; Sohns, Jan-Tobias; Weinkauf, Tino; Werner, Kilian; Tierny, Julien Report of the TopoInVis TTK hackathon: experiences, lessons learned, and perspectives. (English) Zbl 07483389 Hotz, Ingrid (ed.) et al., Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. Math. Vis., 359-373 (2021). MSC: 68-XX 55-08 55N31 68T09 68U03 68U05 68U10 PDF BibTeX XML Cite \textit{J. Lukasczyk} et al., in: Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. 359--373 (2021; Zbl 07483389) Full Text: DOI OpenURL
Cotsakis, Ryan; Shaw, Jim; Tierny, Julien; Levine, Joshua A. Implementing persistence-based clustering of point clouds in the topology toolkit. (English) Zbl 07483388 Hotz, Ingrid (ed.) et al., Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. Math. Vis., 343-357 (2021). MSC: 68-XX 55-08 55N31 68T09 68U03 68U05 68U10 62Rxx PDF BibTeX XML Cite \textit{R. Cotsakis} et al., in: Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. 343--357 (2021; Zbl 07483388) Full Text: DOI OpenURL
Masood, Talha Bin; Budin, Joseph; Falk, Martin; Favelier, Guillaume; Garth, Christoph; Gueunet, Charles; Guillou, Pierre; Hofmann, Lutz; Hristov, Petar; Kamakshidasan, Adhitya; Kappe, Christopher; Klacansky, Pavol; Laurin, Patrick; Levine, Joshua A.; Lukasczyk, Jonas; Sakurai, Daisuke; Soler, Maxime; Steneteg, Peter; Tierny, Julien; Usher, Will; Vidal, Jules; Wozniak, Michal An overview of the topology toolkit. (English) Zbl 07483387 Hotz, Ingrid (ed.) et al., Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. Math. Vis., 327-342 (2021). MSC: 68-XX 55-08 55N31 68T09 68U03 68U05 68U10 PDF BibTeX XML Cite \textit{T. B. Masood} et al., in: Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. 327--342 (2021; Zbl 07483387) Full Text: DOI OpenURL
Günther, Tobias; Baeza Rojo, Irene Introduction to vector field topology. (English) Zbl 07483386 Hotz, Ingrid (ed.) et al., Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. Math. Vis., 289-326 (2021). MSC: 68-XX 55-08 55N31 68T09 68U03 68U05 68U10 57R25 37B99 PDF BibTeX XML Cite \textit{T. Günther} and \textit{I. Baeza Rojo}, in: Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. 289--326 (2021; Zbl 07483386) Full Text: DOI OpenURL
Mosbach, Dennis; Schladitz, Katja; Hamann, Bernd; Hagen, Hans Topologically robust B-spline reconstruction of fibers from 3D images. (English) Zbl 07483385 Hotz, Ingrid (ed.) et al., Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. Math. Vis., 271-286 (2021). MSC: 68-XX 55-08 55N31 68T09 68U03 68U05 68U10 PDF BibTeX XML Cite \textit{D. Mosbach} et al., in: Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. 271--286 (2021; Zbl 07483385) Full Text: DOI OpenURL
Elkin, Yury; Liu, Di; Kurlin, Vitaliy A fast approximate skeleton with guarantees for any cloud of points in a Euclidean space. (English) Zbl 07483384 Hotz, Ingrid (ed.) et al., Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. Math. Vis., 245-269 (2021). MSC: 68-XX 55-08 55N31 68T09 68U03 68U05 68U10 PDF BibTeX XML Cite \textit{Y. Elkin} et al., in: Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. 245--269 (2021; Zbl 07483384) Full Text: DOI arXiv OpenURL
Sreevalsan-Nair, Jaya; Dadhich, Komal; Daggubati, Siri Chandana Tensor fields for data extraction from chart images: bar charts and scatter plots. (English) Zbl 07483383 Hotz, Ingrid (ed.) et al., Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. Math. Vis., 219-241 (2021). MSC: 68-XX 55-08 55N31 68T09 68U03 68U05 68U10 PDF BibTeX XML Cite \textit{J. Sreevalsan-Nair} et al., in: Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. 219--241 (2021; Zbl 07483383) Full Text: DOI arXiv OpenURL
Agarwal, Tripti; Chattopadhyay, Amit; Natarajan, Vijay Topological feature search in time-varying multifield data. (English) Zbl 07483382 Hotz, Ingrid (ed.) et al., Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. Math. Vis., 197-217 (2021). MSC: 68-XX 55-08 55N31 68T09 68U03 68U05 68U10 PDF BibTeX XML Cite \textit{T. Agarwal} et al., in: Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. 197--217 (2021; Zbl 07483382) Full Text: DOI arXiv OpenURL
Sakurai, Daisuke; Yamamoto, Takahiro Visually evaluating the topological equivalence of bounded bivariate fields. (English) Zbl 07483381 Hotz, Ingrid (ed.) et al., Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. Math. Vis., 181-196 (2021). MSC: 68-XX 55-08 55N31 68T09 68U03 68U05 68U10 57R45 PDF BibTeX XML Cite \textit{D. Sakurai} and \textit{T. Yamamoto}, in: Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. 181--196 (2021; Zbl 07483381) Full Text: DOI OpenURL
Straub, Alexander; Karch, Grzegorz K.; Sadlo, Filip; Ertl, Thomas Implicit visualization of 2D vector field topology for periodic orbit detection. (English) Zbl 07483380 Hotz, Ingrid (ed.) et al., Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. Math. Vis., 159-180 (2021). MSC: 68-XX 55-08 55N31 68T09 68U03 68U05 68U10 PDF BibTeX XML Cite \textit{A. Straub} et al., in: Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. 159--180 (2021; Zbl 07483380) Full Text: DOI OpenURL
Baeza Rojo, Irene; Günther, Tobias Coreline criteria for inertial particle motion. (English) Zbl 07483379 Hotz, Ingrid (ed.) et al., Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. Math. Vis., 133-157 (2021). MSC: 68-XX 55-08 55N31 68T09 68U03 68U05 68U10 PDF BibTeX XML Cite \textit{I. Baeza Rojo} and \textit{T. Günther}, in: Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. 133--157 (2021; Zbl 07483379) Full Text: DOI OpenURL
Bujack, Roxana; Dutta, Soumya; Zhang, Duan; Günther, Tobias Objective finite-time flow topology from flowmap expansion and contraction. (English) Zbl 07483378 Hotz, Ingrid (ed.) et al., Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. Math. Vis., 111-131 (2021). MSC: 68-XX 55-08 55N31 68T09 68U03 68U05 68U10 PDF BibTeX XML Cite \textit{R. Bujack} et al., in: Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. 111--131 (2021; Zbl 07483378) Full Text: DOI OpenURL
Rosen, Paul; Seth, Anil; Mills, Elisabeth; Ginsburg, Adam; Kamenetzky, Julia; Kern, Jeff; Johnson, Chris. R.; Wang, Bei Using contour trees in the analysis and visualization of radio astronomy data cubes. (English) Zbl 07483377 Hotz, Ingrid (ed.) et al., Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. Math. Vis., 87-108 (2021). MSC: 68-XX 55-08 55N31 68T09 68U03 68U05 68U10 PDF BibTeX XML Cite \textit{P. Rosen} et al., in: Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. 87--108 (2021; Zbl 07483377) Full Text: DOI arXiv OpenURL
Engelke, Wito; Masood, Talha Bin; Beran, Jakob; Caballero, Rodrigo; Hotz, Ingrid Topology-based feature design and tracking for multi-center cyclones. (English) Zbl 07483376 Hotz, Ingrid (ed.) et al., Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. Math. Vis., 71-85 (2021). MSC: 68-XX 55-08 55N31 68T09 68U03 68U05 68U10 PDF BibTeX XML Cite \textit{W. Engelke} et al., in: Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. 71--85 (2021; Zbl 07483376) Full Text: DOI arXiv OpenURL
Sohns, Jan-Tobias; Weber, Gunther H.; Garth, Christoph Distributed task-parallel topology-controlled volume rendering. (English) Zbl 07483375 Hotz, Ingrid (ed.) et al., Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. Math. Vis., 55-69 (2021). MSC: 68-XX 62Rxx 55-08 55N31 68T09 68U03 68U05 68U10 PDF BibTeX XML Cite \textit{J.-T. Sohns} et al., in: Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. 55--69 (2021; Zbl 07483375) Full Text: DOI OpenURL
Köpp, Wiebke; Friederici, Anke; Atzori, Marco; Vinuesa, Ricardo; Schlatter, Philipp; Weinkauf, Tino Notes on percolation analysis of sampled scalar fields. (English) Zbl 07483374 Hotz, Ingrid (ed.) et al., Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. Math. Vis., 39-54 (2021). MSC: 68-XX 55-08 55N31 68T09 68U03 68U05 68U10 PDF BibTeX XML Cite \textit{W. Köpp} et al., in: Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. 39--54 (2021; Zbl 07483374) Full Text: DOI OpenURL
Kamakshidasan, Adhitya; Natarajan, Vijay Mergemaps: treemaps for scientific data. (English) Zbl 07483373 Hotz, Ingrid (ed.) et al., Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. Math. Vis., 19-38 (2021). MSC: 68-XX 55-08 55N31 68T09 68U03 68U05 68U10 PDF BibTeX XML Cite \textit{A. Kamakshidasan} and \textit{V. Natarajan}, in: Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. 19--38 (2021; Zbl 07483373) Full Text: DOI OpenURL
Hristov, Petar; Carr, Hamish W-structures in contour trees. (English) Zbl 07483372 Hotz, Ingrid (ed.) et al., Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. Math. Vis., 3-18 (2021). MSC: 68-XX 55-08 55N31 68T09 68U03 68U05 68U10 PDF BibTeX XML Cite \textit{P. Hristov} and \textit{H. Carr}, in: Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. 3--18 (2021; Zbl 07483372) Full Text: DOI OpenURL
Ibáñez Marcelo, Esther Introduction to topological data analysis and applications. (Catalan. English summary) Zbl 1483.55004 Butll. Soc. Catalana Mat. 36, No. 2, 153-180 (2021). MSC: 55N31 62R40 68T09 55-02 PDF BibTeX XML Cite \textit{E. Ibáñez Marcelo}, Butll. Soc. Catalana Mat. 36, No. 2, 153--180 (2021; Zbl 1483.55004) Full Text: DOI OpenURL
Don, Arjuna P. H.; Peters, James F.; Ramanna, Sheela Persistence barcoded vehicular traffic videos in a topology of data approach to shape tracking. (English) Zbl 07469650 Paikray, Susanta Kumar (ed.) et al., New trends in applied analysis and computational mathematics. Proceedings of the international conference on advances in mathematics and computing, ICAMC 2020, Odisha, India, February 7–8, 2020. Singapore: Springer. Adv. Intell. Syst. Comput. 1356, 33-43 (2021). MSC: 68U10 54H30 54C56 55R40 55U10 55N31 55M30 PDF BibTeX XML Cite \textit{A. P. H. Don} et al., Adv. Intell. Syst. Comput. 1356, 33--43 (2021; Zbl 07469650) Full Text: DOI OpenURL
Luo, Hengrui; Patania, Alice; Kim, Jisu; Vejdemo-Johansson, Mikael Generalized penalty for circular coordinate representation. (English) Zbl 07464720 Found. Data Sci. 3, No. 4, 729-767 (2021). MSC: 62-XX 55N31 62R40 68T09 PDF BibTeX XML Cite \textit{H. Luo} et al., Found. Data Sci. 3, No. 4, 729--767 (2021; Zbl 07464720) Full Text: DOI arXiv OpenURL
Wei, Xiaoqi; Wei, Guo-Wei Homotopy continuation for the spectra of persistent Laplacians. (English) Zbl 07464718 Found. Data Sci. 3, No. 4, 677-700 (2021). Reviewer: Bastian Rieck (Bern) MSC: 55N31 55U10 65H14 PDF BibTeX XML Cite \textit{X. Wei} and \textit{G.-W. Wei}, Found. Data Sci. 3, No. 4, 677--700 (2021; Zbl 07464718) Full Text: DOI OpenURL
Wang, Rui; Zhao, Rundong; Ribando-Gros, Emily; Chen, Jiahui; Tong, Yiying; Wei, Guo-Wei HERMES: persistent spectral graph software. (English) Zbl 1482.55001 Found. Data Sci. 3, No. 1, 67-97 (2021). MSC: 55-04 92-08 PDF BibTeX XML Cite \textit{R. Wang} et al., Found. Data Sci. 3, No. 1, 67--97 (2021; Zbl 1482.55001) Full Text: DOI arXiv OpenURL
Rieser, Antonio A topological approach to spectral clustering. (English) Zbl 1478.62389 Found. Data Sci. 3, No. 1, 49-66 (2021). MSC: 62R40 62H30 55N31 PDF BibTeX XML Cite \textit{A. Rieser}, Found. Data Sci. 3, No. 1, 49--66 (2021; Zbl 1478.62389) Full Text: DOI arXiv OpenURL
Garside, K.; Gjoka, A.; Henderson, R.; Johnson, H.; Makarenko, I. Event history and topological data analysis. (English) Zbl 07459728 Biometrika 108, No. 4, 757-773 (2021). MSC: 62R40 PDF BibTeX XML Cite \textit{K. Garside} et al., Biometrika 108, No. 4, 757--773 (2021; Zbl 07459728) Full Text: DOI arXiv OpenURL
Quercioli, Nicola Some new methods to build group equivariant non-expansive operators in TDA. (English) Zbl 1484.55006 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, 229-238 (2021). MSC: 55N31 68U05 62R40 PDF BibTeX XML Cite \textit{N. Quercioli}, Springer Proc. Math. Stat. 350, 229--238 (2021; Zbl 1484.55006) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{A. Cerri} and \textit{P. Frosini}, Springer Proc. Math. Stat. 350, 215--228 (2021; Zbl 1480.55004) Full Text: DOI OpenURL
Frosini, Patrizio An introduction to the notion of natural pseudo-distance in topological data analysis. (English) Zbl 1480.55005 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, 203-213 (2021). MSC: 55N31 57R19 65D18 68U05 62R40 55-02 PDF BibTeX XML Cite \textit{P. Frosini}, Springer Proc. Math. Stat. 350, 203--213 (2021; Zbl 1480.55005) Full Text: DOI OpenURL
Adams, Henry; Bush, Johnathan; Mirth, Joshua Operations on metric thickenings. (English) Zbl 1487.55006 Spivak, David I. (ed.) et al., Proceedings of the 3rd annual international applied category theory conference 2020, ACT 2020, Cambridge, USA, July 6–10, 2020. Waterloo: Open Publishing Association (OPA). Electron. Proc. Theor. Comput. Sci. (EPTCS) 333, 261-275 (2021). Reviewer: Ziga Virk (Ljubljana) MSC: 55N31 54E35 55P10 55U10 05E45 18F99 PDF BibTeX XML Cite \textit{H. Adams} et al., Electron. Proc. Theor. Comput. Sci. (EPTCS) 333, 261--275 (2021; Zbl 1487.55006) Full Text: arXiv Link OpenURL
Arya, Shreya; Boissonnat, Jean-Daniel; Dutta, Kunal; Lotz, Martin Dimensionality reduction for \(k\)-distance applied to persistent homology. (English) Zbl 1482.55005 J. Appl. Comput. Topol. 5, No. 4, 671-691 (2021). Reviewer: Bastian Rieck (Bern) MSC: 55N31 68U05 62R40 PDF BibTeX XML Cite \textit{S. Arya} et al., J. Appl. Comput. Topol. 5, No. 4, 671--691 (2021; Zbl 1482.55005) Full Text: DOI arXiv OpenURL
Kim, Woojin; Mémoli, Facundo Generalized persistence diagrams for persistence modules over posets. (English) Zbl 07454845 J. Appl. Comput. Topol. 5, No. 4, 533-581 (2021). MSC: 55N31 16G20 05E10 PDF BibTeX XML Cite \textit{W. Kim} and \textit{F. Mémoli}, J. Appl. Comput. Topol. 5, No. 4, 533--581 (2021; Zbl 07454845) Full Text: DOI arXiv OpenURL
Boutry, Nicolas; Géraud, Thierry; Najman, Laurent An equivalence relation between morphological dynamics and persistent homology in \(n\)-D. (English) Zbl 1484.68289 Lindblad, Joakim (ed.) et al., Discrete geometry and mathematical morphology. First international joint conference, DGMM 2021, Uppsala, Sweden, May 24–27, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12708, 525-537 (2021). MSC: 68U10 55N31 57Q70 PDF BibTeX XML Cite \textit{N. Boutry} et al., Lect. Notes Comput. Sci. 12708, 525--537 (2021; Zbl 1484.68289) Full Text: DOI OpenURL
Jimenez, Maria-Jose On topological analysis of cells organization in biological images. (English) Zbl 1486.92099 Lindblad, Joakim (ed.) et al., Discrete geometry and mathematical morphology. First international joint conference, DGMM 2021, Uppsala, Sweden, May 24–27, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12708, 58-63 (2021). MSC: 92C55 92C37 62R40 PDF BibTeX XML Cite \textit{M.-J. Jimenez}, Lect. Notes Comput. Sci. 12708, 58--63 (2021; Zbl 1486.92099) Full Text: DOI OpenURL
Bauer, Ulrich; Landi, Claudia; Mémoli, Facundo The Reeb graph edit distance is universal. (English) Zbl 1485.55006 Found. Comput. Math. 21, No. 5, 1441-1464 (2021). Reviewer: Shiquan Ren (Singapore) MSC: 55N31 05C10 54E35 PDF BibTeX XML Cite \textit{U. Bauer} et al., Found. Comput. Math. 21, No. 5, 1441--1464 (2021; Zbl 1485.55006) Full Text: DOI arXiv OpenURL
Bubenik, Peter; Milićević, Nikola Homological algebra for persistence modules. (English) Zbl 1487.55008 Found. Comput. Math. 21, No. 5, 1233-1278 (2021). Reviewer: Marek Golasiński (Olsztyn) MSC: 55N31 18G05 18G15 55U25 PDF BibTeX XML Cite \textit{P. Bubenik} and \textit{N. Milićević}, Found. Comput. Math. 21, No. 5, 1233--1278 (2021; Zbl 1487.55008) Full Text: DOI arXiv OpenURL
Leinster, Tom; Shulman, Michael Magnitude homology of enriched categories and metric spaces. (English) Zbl 1475.18024 Algebr. Geom. Topol. 21, No. 5, 2175-2221 (2021). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18G90 16E40 51F99 55N31 PDF BibTeX XML Cite \textit{T. Leinster} and \textit{M. Shulman}, Algebr. Geom. Topol. 21, No. 5, 2175--2221 (2021; Zbl 1475.18024) Full Text: DOI arXiv OpenURL
Aromi, Lloyd L.; Katz, Yuri A.; Vives, Josep Topological features of multivariate distributions: dependency on the covariance matrix. (English) Zbl 1478.62388 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105996, 12 p. (2021). MSC: 62R40 55N31 62H10 62P05 PDF BibTeX XML Cite \textit{L. L. Aromi} et al., Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105996, 12 p. (2021; Zbl 1478.62388) Full Text: DOI OpenURL
Dixon, Adam; Patrangenaru, Victor; Shen, Chen An introduction to topological object data analysis. (English) Zbl 1479.55012 Balan, Vladimir (ed.), Proceedings of the international conference on differential geometry and dynamical systems (DGDS-2020), Bucharest, Romania, August, 27–29, 2020. Bucharest: Geometry Balkan Press. BSG Proc. 28, 30-44 (2021). MSC: 55N31 62H35 62R30 62R40 55-02 62-02 PDF BibTeX XML Cite \textit{A. Dixon} et al., BSG Proc. 28, 30--44 (2021; Zbl 1479.55012) Full Text: Link OpenURL
Govc, Dejan; Levi, Ran; Smith, Jason P. Complexes of tournaments, directionality filtrations and persistent homology. (English) Zbl 07421461 J. Appl. Comput. Topol. 5, No. 2, 313-337 (2021). Reviewer: Henri Riihimäki (Stockholm) MSC: 55U10 55N31 05E45 05C20 92C20 PDF BibTeX XML Cite \textit{D. Govc} et al., J. Appl. Comput. Topol. 5, No. 2, 313--337 (2021; Zbl 07421461) Full Text: DOI arXiv OpenURL
Chachólski, Wojciech; Jin, Alvin; Scolamiero, Martina; Tombari, Francesca Homotopical decompositions of simplicial and Vietoris Rips complexes. (English) Zbl 1485.55007 J. Appl. Comput. Topol. 5, No. 2, 215-248 (2021). Reviewer: Massimo Ferri (Bologna) MSC: 55N31 55U10 62R40 PDF BibTeX XML Cite \textit{W. Chachólski} et al., J. Appl. Comput. Topol. 5, No. 2, 215--248 (2021; Zbl 1485.55007) Full Text: DOI arXiv OpenURL
Takeuchi, Hiroshi The persistent homology of a sampled map: from a viewpoint of quiver representations. (English) Zbl 1487.55010 J. Appl. Comput. Topol. 5, No. 2, 179-213 (2021). Reviewer: My Ismail Mamouni (Rabat) MSC: 55N31 16G20 37B99 18A99 55U99 PDF BibTeX XML Cite \textit{H. Takeuchi}, J. Appl. Comput. Topol. 5, No. 2, 179--213 (2021; Zbl 1487.55010) Full Text: DOI arXiv OpenURL
Brown, Adam; Bobrowski, Omer; Munch, Elizabeth; Wang, Bei Probabilistic convergence and stability of random mapper graphs. (English) Zbl 1482.55006 J. Appl. Comput. Topol. 5, No. 1, 99-140 (2021). Reviewer: Bastian Rieck (Bern) MSC: 55N31 62R40 PDF BibTeX XML Cite \textit{A. Brown} et al., J. Appl. Comput. Topol. 5, No. 1, 99--140 (2021; Zbl 1482.55006) Full Text: DOI arXiv OpenURL
Mileyko, Yuriy Another look at recovering local homology from samples of stratified sets. (English) Zbl 07421455 J. Appl. Comput. Topol. 5, No. 1, 55-97 (2021). MSC: 55N31 55U05 55U10 55N99 57N40 57N80 PDF BibTeX XML Cite \textit{Y. Mileyko}, J. Appl. Comput. Topol. 5, No. 1, 55--97 (2021; Zbl 07421455) Full Text: DOI arXiv OpenURL
Harker, Shaun; Mischaikow, Konstantin; Spendlove, Kelly A computational framework for connection matrix theory. (English) Zbl 1487.37018 J. Appl. Comput. Topol. 5, No. 3, 459-529 (2021). Reviewer: Thomas J. Bartsch (Gießen) MSC: 37B30 37B25 55N31 62R40 PDF BibTeX XML Cite \textit{S. Harker} et al., J. Appl. Comput. Topol. 5, No. 3, 459--529 (2021; Zbl 1487.37018) Full Text: DOI arXiv OpenURL
Choudhary, Aruni; Kerber, Michael; Raghvendra, Sharath Improved approximate Rips filtrations with shifted integer lattices and cubical complexes. (English) Zbl 1487.55009 J. Appl. Comput. Topol. 5, No. 3, 425-458 (2021). Reviewer: Ahmet A. Khusainov (Komsomolsk-om-Amur) MSC: 55N31 62R40 PDF BibTeX XML Cite \textit{A. Choudhary} et al., J. Appl. Comput. Topol. 5, No. 3, 425--458 (2021; Zbl 1487.55009) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{U. Bauer}, J. Appl. Comput. Topol. 5, No. 3, 391--423 (2021; Zbl 1476.55012) Full Text: DOI arXiv OpenURL
Chachólski, Wojciech; Giunti, Barbara; Landi, Claudia Invariants for tame parametrised chain complexes. (English) Zbl 1484.55005 Homology Homotopy Appl. 23, No. 2, 183-213 (2021). Reviewer: Ran Levi (Aberdeen) MSC: 55N31 55U15 PDF BibTeX XML Cite \textit{W. Chachólski} et al., Homology Homotopy Appl. 23, No. 2, 183--213 (2021; Zbl 1484.55005) Full Text: DOI arXiv OpenURL
Stenseke, Jakob Persistent homology and the shape of evolutionary games. (English) Zbl 1471.91039 J. Theor. Biol. 531, Article ID 110903, 13 p. (2021). MSC: 91A22 55N31 92D30 PDF BibTeX XML Cite \textit{J. Stenseke}, J. Theor. Biol. 531, Article ID 110903, 13 p. (2021; Zbl 1471.91039) Full Text: DOI arXiv OpenURL