Boutry, Nicolas; Najman, Laurent; Géraud, Thierry Some equivalence relation between persistent homology and morphological dynamics. (English) Zbl 07645599 J. Math. Imaging Vis. 64, No. 7, 807-824 (2022). MSC: 68-XX 94-XX PDF BibTeX XML Cite \textit{N. Boutry} et al., J. Math. Imaging Vis. 64, No. 7, 807--824 (2022; Zbl 07645599) Full Text: DOI arXiv OpenURL
Levitt, Jesse S. F.; Hajij, Mustafa; Sazdanovic, Radmila Big data approaches to knot theory: understanding the structure of the Jones polynomial. (English) Zbl 07633410 J. Knot Theory Ramifications 31, No. 13, Article ID 2250095, 20 p. (2022). MSC: 57K10 57K14 62R07 62R40 PDF BibTeX XML Cite \textit{J. S. F. Levitt} et al., J. Knot Theory Ramifications 31, No. 13, Article ID 2250095, 20 p. (2022; Zbl 07633410) Full Text: DOI arXiv OpenURL
Boutry, Nicolas; Gonzalez-Diaz, Rocio; Jimenez, Maria-Jose; Paluzo-Hildago, Eduardo Strong Euler well-composedness. (English) Zbl 07603305 J. Comb. Optim. 44, No. 4, 3038-3055 (2022). MSC: 90C27 PDF BibTeX XML Cite \textit{N. Boutry} et al., J. Comb. Optim. 44, No. 4, 3038--3055 (2022; Zbl 07603305) Full Text: DOI OpenURL
Landi, Claudia; Scaramuccia, Sara Relative-perfectness of discrete gradient vector fields and multi-parameter persistent homology. (English) Zbl 07603271 J. Comb. Optim. 44, No. 4, 2347-2374 (2022). MSC: 55N31 55U10 37B35 13D02 PDF BibTeX XML Cite \textit{C. Landi} and \textit{S. Scaramuccia}, J. Comb. Optim. 44, No. 4, 2347--2374 (2022; Zbl 07603271) Full Text: DOI arXiv OpenURL
Papamarkou, Theodore; Nasrin, Farzana; Lawson, Austin; Gong, Na; Rios, Orlando; Maroulas, Vasileios A random persistence diagram generator. (English) Zbl 1496.62020 Stat. Comput. 32, No. 5, Paper No. 88, 15 p. (2022). MSC: 62-08 55N35 62R40 PDF BibTeX XML Cite \textit{T. Papamarkou} et al., Stat. Comput. 32, No. 5, Paper No. 88, 15 p. (2022; Zbl 1496.62020) Full Text: DOI arXiv OpenURL
Zhou, Youjia; Saul, Nathaniel; Safarli, Ilkin; Krishnamoorthy, Bala; Wang, Bei Stitch fix for mapper and topological gains. (English) Zbl 07597734 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 PDF BibTeX XML Cite \textit{Y. Zhou} et al., Assoc. Women Math. Ser. 30, 265--294 (2022; Zbl 07597734) Full Text: DOI arXiv OpenURL
Hamilton, W.; Borgert, J. E.; Hamelryck, T.; Marron, J. S. Persistent topology of protein space. (English) Zbl 1500.92075 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, 223-244 (2022). MSC: 92D20 55N31 PDF BibTeX XML Cite \textit{W. Hamilton} et al., Assoc. Women Math. Ser. 30, 223--244 (2022; Zbl 1500.92075) Full Text: DOI arXiv OpenURL
Emerson, Tegan H.; Tymochko, Sarah; Stantchev, George; Edelberg, Jason A.; Wilson, Michael; Olson, Colin C. A topological approach for motion track discrimination. (English) Zbl 07597731 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, 211-222 (2022). MSC: 68Uxx PDF BibTeX XML Cite \textit{T. H. Emerson} et al., Assoc. Women Math. Ser. 30, 211--222 (2022; Zbl 07597731) Full Text: DOI arXiv OpenURL
Dey, Tamal K.; Xin, Cheng Generalized persistence algorithm for decomposing multiparameter persistence modules. (English) Zbl 07596100 J. Appl. Comput. Topol. 6, No. 3, 271-322 (2022). Reviewer: Massimo Ferri (Bologna) MSC: 55N31 55-08 PDF BibTeX XML Cite \textit{T. K. Dey} and \textit{C. Xin}, J. Appl. Comput. Topol. 6, No. 3, 271--322 (2022; Zbl 07596100) Full Text: DOI arXiv OpenURL
Virk, Žiga Contractions in persistence and metric graphs. (English) Zbl 07596032 Bull. Malays. Math. Sci. Soc. (2) 45, No. 5, 2003-2016 (2022). MSC: 55N31 55U05 51F30 PDF BibTeX XML Cite \textit{Ž. Virk}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 5, 2003--2016 (2022; Zbl 07596032) Full Text: DOI arXiv OpenURL
Hickok, Abigail; Needell, Deanna; Porter, Mason A. Analysis of spatial and spatiotemporal anomalies using persistent homology: case studies with COVID-19 data. (English) Zbl 1498.92221 SIAM J. Math. Data Sci. 4, No. 3, 1116-1144 (2022). MSC: 92D30 55N31 55U10 PDF BibTeX XML Cite \textit{A. Hickok} et al., SIAM J. Math. Data Sci. 4, No. 3, 1116--1144 (2022; Zbl 1498.92221) Full Text: DOI arXiv OpenURL
Basu, Saugata; Cox, Nathanael; Percival, Sarah On the Reeb spaces of definable maps. (English) Zbl 1500.03014 Discrete Comput. Geom. 68, No. 2, 372-405 (2022). Reviewer: Fujita Masato (Kure) MSC: 03C64 14P10 PDF BibTeX XML Cite \textit{S. Basu} et al., Discrete Comput. Geom. 68, No. 2, 372--405 (2022; Zbl 1500.03014) Full Text: DOI arXiv OpenURL
Lemež, Boštjan; Virk, Žiga Reconstruction properties of selective Rips complexes. (English) Zbl 07560134 Glas. Mat., III. Ser. 57, No. 1, 73-88 (2022). Reviewer: Semra Pamuk (Ankara) MSC: 55N31 53C22 55Q05 55U10 57N65 PDF BibTeX XML Cite \textit{B. Lemež} and \textit{Ž. Virk}, Glas. Mat., III. Ser. 57, No. 1, 73--88 (2022; Zbl 07560134) 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). Reviewer: Jun Zhang (Hefei) 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 arXiv OpenURL
Mémoli, Facundo; Wan, Zhengchao; Wang, Yusu Persistent Laplacians: properties, algorithms and implications. (English) Zbl 1496.55007 SIAM J. Math. Data Sci. 4, No. 2, 858-884 (2022). Reviewer: Bastian Rieck (Bern) 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 1496.55007) Full Text: DOI arXiv OpenURL
Wiseman, Jim Persistence of Morse decompositions over grid resolution for maps and time series. (English) Zbl 1495.55004 J. Appl. Comput. Topol. 6, No. 2, 247-269 (2022). Reviewer: Dahisy Lima (Santo André) 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 1495.55004) Full Text: DOI arXiv OpenURL
Dabaghian, Y. Learning orientations: a discrete geometry model. (English) Zbl 1494.92006 J. Appl. Comput. Topol. 6, No. 2, 193-220 (2022). MSC: 92B20 91E40 51K10 62R40 PDF BibTeX XML Cite \textit{Y. Dabaghian}, J. Appl. Comput. Topol. 6, No. 2, 193--220 (2022; Zbl 1494.92006) Full Text: DOI arXiv OpenURL
Adamaszek, Michał; Adams, Henry On Vietoris-Rips complexes of hypercube graphs. (English) Zbl 1490.05279 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 1490.05279) Full Text: DOI arXiv 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: 62Rxx 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 arXiv OpenURL
Catanzaro, Michael J.; Przybylski, Lee; Weber, Eric S. Persistence landscapes of affine fractals. (English) Zbl 1497.55007 Demonstr. Math. 55, 163-192 (2022). Reviewer: Krzysztof Leśniak (Torún) MSC: 55N31 28A80 37M22 47H09 PDF BibTeX XML Cite \textit{M. J. Catanzaro} et al., Demonstr. Math. 55, 163--192 (2022; Zbl 1497.55007) Full Text: DOI arXiv OpenURL
Beshkov, Kosio; Tiesinga, Paul Geodesic-based distance reveals nonlinear topological features in neural activity from mouse visual cortex. (English) Zbl 1491.92009 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 1491.92009) Full Text: DOI OpenURL
Kozlov, Dmitry N. Configuration spaces of labeled points on a circle with two anchors. (English) Zbl 1496.55016 Topology Appl. 315, Article ID 108147, 18 p. (2022). Reviewer: Teresa I. Hoekstra-Mendoza (Ciudad de México) MSC: 55R80 57Q70 PDF BibTeX XML Cite \textit{D. N. Kozlov}, Topology Appl. 315, Article ID 108147, 18 p. (2022; Zbl 1496.55016) Full Text: DOI OpenURL
Lesnick, Michael; Wright, Matthew Computing minimal presentations and bigraded Betti numbers of 2-parameter persistent homology. (English) Zbl 1498.55006 SIAM J. Appl. Algebra Geom. 6, No. 2, 267-298 (2022). Reviewer: Jason Hanson (Redmond) 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 1498.55006) Full Text: DOI arXiv 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
Espinoza, Jesús F.; Frías-Armenta, Martín-Eduardo; Hernández-Hernández, Héctor A. Collapsibility and homological properties of \(\mathfrak{I}\)-contractible transformations. (English) Zbl 1489.05163 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 1489.05163) Full Text: DOI arXiv OpenURL
Knudson, Kevin; Wang, Bei Discrete stratified Morse theory. Algorithms and a user’s guide. (English) Zbl 1494.57045 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 1494.57045) Full Text: DOI OpenURL
Mondéjar, Diego Polyhedral expansions of compacta associated to finite approximations. (English) Zbl 1494.54014 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 99, 25 p. (2022). Reviewer: Corina Mohorianu (Iaşi) MSC: 54B20 54C56 54C60 54D10 55P55 55Q07 55U05 PDF BibTeX XML Cite \textit{D. Mondéjar}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 99, 25 p. (2022; Zbl 1494.54014) Full Text: DOI arXiv OpenURL
Dey, Tamal K.; Mrozek, Marian; Slechta, Ryan Persistence of Conley-Morse graphs in combinatorial dynamical systems. (English) Zbl 1498.37069 SIAM J. Appl. Dyn. Syst. 21, No. 2, 817-839 (2022). Reviewer: Zdzisław Dzedzej (Gdańsk) MSC: 37E15 37E25 37B30 55N31 PDF BibTeX XML Cite \textit{T. K. Dey} et al., SIAM J. Appl. Dyn. Syst. 21, No. 2, 817--839 (2022; Zbl 1498.37069) Full Text: DOI arXiv 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 arXiv OpenURL
Entov, Michael; Polterovich, Leonid Legendrian persistence modules and dynamics. (English) Zbl 1497.53131 J. Fixed Point Theory Appl. 24, No. 2, Paper No. 30, 54 p. (2022). Reviewer: Johan Asplund (New York) MSC: 53D35 37J55 55N99 53D10 PDF BibTeX XML Cite \textit{M. Entov} and \textit{L. Polterovich}, J. Fixed Point Theory Appl. 24, No. 2, Paper No. 30, 54 p. (2022; Zbl 1497.53131) Full Text: DOI arXiv 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 Link 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
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 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 1497.55008) 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
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 1500.55003 Comput. Geom. 101, Article ID 101821, 28 p. (2022). Reviewer: Sang-Eon Han (Jeonju) MSC: 55N31 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 1500.55003) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{E. G. Z. Centeno} et al., Lect. Notes Comput. Sci. 12829, 665--673 (2021; Zbl 1486.92008) 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 HAL 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 HAL 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 HAL 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
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 Link OpenURL
Tymochko, Sarah; Singhal, Kritika; Heo, Giseon Classifying sleep states using persistent homology and Markov chains: a pilot study. (English) Zbl 07464602 Demir, Ilke (ed.) et al., Advances in data science. Selected papers based on the presentations at the 2nd women in data science and mathematics workshop, WiSDM, Providence, Rhode Island, USA, July 29 – August 2, 2019, and the 3rd women in shape, WiSh workshop, Trier, Germany, July 16–20, 2018. Cham: Springer. Assoc. Women Math. Ser. 26, 253-289 (2021). MSC: 68Txx 62H30 62H35 94A08 PDF BibTeX XML Cite \textit{S. Tymochko} et al., Assoc. Women Math. Ser. 26, 253--289 (2021; Zbl 07464602) Full Text: DOI arXiv OpenURL
Thomas, Andrew M.; Owada, Takashi Functional limit theorems for the Euler characteristic process in the critical regime. (English) Zbl 1493.60065 Adv. Appl. Probab. 53, No. 1, 57-80 (2021). MSC: 60F17 55U10 60C05 60D05 PDF BibTeX XML Cite \textit{A. M. Thomas} and \textit{T. Owada}, Adv. Appl. Probab. 53, No. 1, 57--80 (2021; Zbl 1493.60065) Full Text: DOI arXiv OpenURL
Dabaghian, Yuri Topological stability of the hippocampal spatial map and synaptic transience. (English) Zbl 1480.92013 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, 239-253 (2021). MSC: 92B20 37B25 PDF BibTeX XML Cite \textit{Y. Dabaghian}, Springer Proc. Math. Stat. 350, 239--253 (2021; Zbl 1480.92013) 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
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
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
Thomas, Andrew M.; Owada, Takashi Functional strong laws of large numbers for Euler characteristic processes of extreme sample clouds. (English) Zbl 1479.60065 Extremes 24, No. 4, 699-724 (2021). MSC: 60F15 60G70 55U10 60F17 PDF BibTeX XML Cite \textit{A. M. Thomas} and \textit{T. Owada}, Extremes 24, No. 4, 699--724 (2021; Zbl 1479.60065) 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
Divol, Vincent; Lacombe, Théo Understanding the topology and the geometry of the space of persistence diagrams via optimal partial transport. (English) Zbl 1473.62408 J. Appl. Comput. Topol. 5, No. 1, 1-53 (2021). MSC: 62R40 49Q22 PDF BibTeX XML Cite \textit{V. Divol} and \textit{T. Lacombe}, J. Appl. Comput. Topol. 5, No. 1, 1--53 (2021; Zbl 1473.62408) 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
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
Bell, Greg; Lawson, Austin; Pritchard, Neil; Yasaki, Dan The space of persistence diagrams fails to have Yu’s property A. (English) Zbl 1483.54020 Topol. Proc. 58, 279-288 (2021). Reviewer: Takahisa Miyata (Kobe) MSC: 54F45 55N31 PDF BibTeX XML Cite \textit{G. Bell} et al., Topol. Proc. 58, 279--288 (2021; Zbl 1483.54020) Full Text: arXiv Link OpenURL
Cole, Alex; Shiu, Gary Towards the “shape” of cosmological observables and the string theory landscape with topological data analysis. (English) Zbl 1476.83184 Nielsen, Frank (ed.), Progress in information geometry. Theory and applications. Based on discussions of the fourth international conference on geometric science of information, GSI’2019, Toulouse, France, August 27–29, 2019. Cham: Springer. Signals Commun. Technol., 219-244 (2021). MSC: 83F05 83E30 55N31 PDF BibTeX XML Cite \textit{A. Cole} and \textit{G. Shiu}, in: Progress in information geometry. Theory and applications. Based on discussions of the fourth international conference on geometric science of information, GSI'2019, Toulouse, France, August 27--29, 2019. Cham: Springer. 219--244 (2021; Zbl 1476.83184) Full Text: DOI OpenURL
Kim, Woojin; Mémoli, Facundo Spatiotemporal persistent homology for dynamic metric spaces. (English) Zbl 1480.55007 Discrete Comput. Geom. 66, No. 3, 831-875 (2021). Reviewer: Jason Hanson (Redmond) MSC: 55N31 55U10 PDF BibTeX XML Cite \textit{W. Kim} and \textit{F. Mémoli}, Discrete Comput. Geom. 66, No. 3, 831--875 (2021; Zbl 1480.55007) Full Text: DOI arXiv OpenURL
Cai, Chen; Kim, Woojin; Mémoli, Facundo; Wang, Yusu Elder-rule-staircodes for augmented metric spaces. (English) Zbl 1477.55005 SIAM J. Appl. Algebra Geom. 5, No. 3, 417-454 (2021). Reviewer: Bastian Rieck (Bern) MSC: 55N31 PDF BibTeX XML Cite \textit{C. Cai} et al., SIAM J. Appl. Algebra Geom. 5, No. 3, 417--454 (2021; Zbl 1477.55005) Full Text: DOI arXiv OpenURL
Boissonnat, Jean-Daniel; Dyer, Ramsay; Ghosh, Arijit; Lieutier, Andre; Wintraecken, Mathijs Local conditions for triangulating submanifolds of Euclidean space. (English) Zbl 07382958 Discrete Comput. Geom. 66, No. 2, 666-686 (2021). MSC: 68Uxx 55-XX 57Qxx PDF BibTeX XML Cite \textit{J.-D. Boissonnat} et al., Discrete Comput. Geom. 66, No. 2, 666--686 (2021; Zbl 07382958) Full Text: DOI OpenURL
Karimumuryango, Menedore; Fotsing Tetsing, Hans; Ndayirukiye, Domitien; Nibaruta, Gilbert Rigging and existence of stable currents in null hypersurface of Lorentzian manifold. (English) Zbl 1473.53031 Differ. Geom. Dyn. Syst. 23, 74-89 (2021). MSC: 53B25 53B30 PDF BibTeX XML Cite \textit{M. Karimumuryango} et al., Differ. Geom. Dyn. Syst. 23, 74--89 (2021; Zbl 1473.53031) Full Text: Link OpenURL
Mondéjar Ruiz, Diego; Morón, Manuel A. Reconstruction of compacta by finite approximations and inverse persistence. (English) Zbl 1477.54016 Rev. Mat. Complut. 34, No. 2, 559-584 (2021). Reviewer: Takahisa Miyata (Kobe) MSC: 54C56 55P55 55Q07 55U05 55N31 62R40 PDF BibTeX XML Cite \textit{D. Mondéjar Ruiz} and \textit{M. A. Morón}, Rev. Mat. Complut. 34, No. 2, 559--584 (2021; Zbl 1477.54016) Full Text: DOI arXiv OpenURL
Chen, Jiahui; Zhao, Rundong; Tong, Yiying; Wei, Guo-Wei Evolutionary de Rham-Hodge method. (English) Zbl 1466.58003 Discrete Contin. Dyn. Syst., Ser. B 26, No. 7, 3785-3821 (2021). MSC: 58A12 58A14 53Z10 53Z50 14F40 PDF BibTeX XML Cite \textit{J. Chen} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 7, 3785--3821 (2021; Zbl 1466.58003) Full Text: DOI arXiv OpenURL
Pereira, Luiz Manella; Torres, Luis Caicedo; Amini, M. Hadi Topological data analysis for network resilience quantification. (English) Zbl 1466.90021 SN Oper. Res. Forum 2, No. 2, Paper No. 29, 17 p. (2021). MSC: 90B10 05C22 PDF BibTeX XML Cite \textit{L. M. Pereira} et al., SN Oper. Res. Forum 2, No. 2, Paper No. 29, 17 p. (2021; Zbl 1466.90021) Full Text: DOI OpenURL
Lima, D. V. S.; Raminelli, S. A.; de Rezende, K. A. Homotopical cancellation theory for Gutierrez-Sotomayor singular flows. (English) Zbl 1469.58023 J. Singul. 23, 33-91 (2021). Reviewer: Zdzisław Dzedzej (Gdańsk) MSC: 58K45 58K65 55U15 55T05 37B30 37D15 37C83 PDF BibTeX XML Cite \textit{D. V. S. Lima} et al., J. Singul. 23, 33--91 (2021; Zbl 1469.58023) Full Text: DOI arXiv OpenURL
Kramár, Miroslav; Kovalcinova, Lenka; Mischaikow, Konstantin; Kondic, Lou Quantitative measure of memory loss in complex spatiotemporal systems. (English) Zbl 1467.37081 Chaos 31, No. 3, 033126, 10 p. (2021). MSC: 37M25 37M05 37D45 PDF BibTeX XML Cite \textit{M. Kramár} et al., Chaos 31, No. 3, 033126, 10 p. (2021; Zbl 1467.37081) Full Text: DOI arXiv OpenURL
Edelsbrunner, Herbert; Osang, Georg The multi-cover persistence of Euclidean balls. (English) Zbl 1468.62436 Discrete Comput. Geom. 65, No. 4, 1296-1313 (2021). MSC: 62R40 55N31 52A37 52A20 52C22 05B45 PDF BibTeX XML Cite \textit{H. Edelsbrunner} and \textit{G. Osang}, Discrete Comput. Geom. 65, No. 4, 1296--1313 (2021; Zbl 1468.62436) Full Text: DOI OpenURL
Brown, Adam; Wang, Bei Sheaf-theoretic stratification learning from geometric and topological perspectives. (English) Zbl 1486.55011 Discrete Comput. Geom. 65, No. 4, 1166-1198 (2021). Reviewer: Bastian Rieck (Bern) MSC: 55N31 68U05 55N30 62R40 PDF BibTeX XML Cite \textit{A. Brown} and \textit{B. Wang}, Discrete Comput. Geom. 65, No. 4, 1166--1198 (2021; Zbl 1486.55011) Full Text: DOI arXiv OpenURL
Mitra, Atish; Virk, Žiga The space of persistence diagrams on \(n\) points coarsely embeds into Hilbert space. (English) Zbl 1468.54025 Proc. Am. Math. Soc. 149, No. 6, 2693-2703 (2021). Reviewer: Takamitsu Yamauchi (Matsuyama) MSC: 54F45 46C05 55M10 55N31 PDF BibTeX XML Cite \textit{A. Mitra} and \textit{Ž. Virk}, Proc. Am. Math. Soc. 149, No. 6, 2693--2703 (2021; Zbl 1468.54025) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Virk, Žiga Rips complexes as nerves and a functorial Dowker-nerve diagram. (English) Zbl 1459.05361 Mediterr. J. Math. 18, No. 2, Paper No. 58, 24 p. (2021). MSC: 05E45 55U10 55U05 57N16 57N65 PDF BibTeX XML Cite \textit{Ž. Virk}, Mediterr. J. Math. 18, No. 2, Paper No. 58, 24 p. (2021; Zbl 1459.05361) Full Text: DOI arXiv OpenURL
Smith, Abraham D.; Bendich, Paul; Harer, John Persistent obstruction theory for a model category of measures with applications to data merging. (English) Zbl 1473.55004 Trans. Am. Math. Soc., Ser. B 8, 1-38 (2021). Reviewer: Henri Riihimäki (Stockholm) MSC: 55N31 55U10 55S35 68P15 62R40 PDF BibTeX XML Cite \textit{A. D. Smith} et al., Trans. Am. Math. Soc., Ser. B 8, 1--38 (2021; Zbl 1473.55004) Full Text: DOI arXiv OpenURL
Tanaka, Kohei Simple homotopy theory and nerve theorem for categories. (English) Zbl 1461.55013 Topology Appl. 291, Article ID 107609, 24 p. (2021). Reviewer: Ran Levi (Aberdeen) MSC: 55U05 05E18 05E45 57Q10 55N31 57Q70 06A06 PDF BibTeX XML Cite \textit{K. Tanaka}, Topology Appl. 291, Article ID 107609, 24 p. (2021; Zbl 1461.55013) Full Text: DOI OpenURL
Fernández-Ternero, Desamparados; García-Calcines, José Manuel; Macías-Virgós, Enrique; Vilches, José Antonio Simplicial fibrations. (English) Zbl 1470.55006 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 54, 25 p. (2021). Reviewer: Timothy Porter (Llandegfan) MSC: 55U10 55R05 55M30 55R65 PDF BibTeX XML Cite \textit{D. Fernández-Ternero} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 54, 25 p. (2021; Zbl 1470.55006) Full Text: DOI arXiv OpenURL
Mémoli, Facundo; Okutan, Osman Berat Quantitative simplification of filtered simplicial complexes. (English) Zbl 1460.55024 Discrete Comput. Geom. 65, No. 2, 554-583 (2021). Reviewer: Ran Levi (Aberdeen) MSC: 55U10 55N31 PDF BibTeX XML Cite \textit{F. Mémoli} and \textit{O. B. Okutan}, Discrete Comput. Geom. 65, No. 2, 554--583 (2021; Zbl 1460.55024) Full Text: DOI arXiv OpenURL
Schweinhart, Benjamin Persistent homology and the upper box dimension. (English) Zbl 1471.55008 Discrete Comput. Geom. 65, No. 2, 331-364 (2021). Reviewer: Elizabeth Munch (East Lansing) MSC: 55N31 28A80 05D99 62R40 62R20 60B05 37F35 PDF BibTeX XML Cite \textit{B. Schweinhart}, Discrete Comput. Geom. 65, No. 2, 331--364 (2021; Zbl 1471.55008) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{M. Feng} and \textit{M. A. Porter}, SIAM Rev. 63, No. 1, 67--99 (2021; Zbl 1460.62201) Full Text: DOI arXiv OpenURL
Gao, Tingran; Brodzki, Jacek; Mukherjee, Sayan The geometry of synchronization problems and learning group actions. (English) Zbl 1456.05105 Discrete Comput. Geom. 65, No. 1, 150-211 (2021). MSC: 05C50 62H30 57R22 58A14 28D05 35B65 35J60 49N90 49Q20 PDF BibTeX XML Cite \textit{T. Gao} et al., Discrete Comput. Geom. 65, No. 1, 150--211 (2021; Zbl 1456.05105) Full Text: DOI arXiv Link OpenURL
Govc, Dejan; Hepworth, Richard Persistent magnitude. (English) Zbl 1457.55004 J. Pure Appl. Algebra 225, No. 3, Article ID 106517, 40 p. (2021). Reviewer: Henri Riihimäki (Aberdeen) MSC: 55N99 55N35 55N31 51F99 11A25 PDF BibTeX XML Cite \textit{D. Govc} and \textit{R. Hepworth}, J. Pure Appl. Algebra 225, No. 3, Article ID 106517, 40 p. (2021; Zbl 1457.55004) Full Text: DOI arXiv OpenURL
Cabello, Sergio Some open problems in computational geometry (Invited Talk). (English) Zbl 07559373 Esparza, Javier (ed.) et al., 45th international symposium on mathematical foundations of computer science, MFCS 2020, August 25–26, 2020, Prague, Czech Republic. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 170, Article 2, 6 p. (2020). MSC: 68Qxx PDF BibTeX XML Cite \textit{S. Cabello}, LIPIcs -- Leibniz Int. Proc. Inform. 170, Article 2, 6 p. (2020; Zbl 07559373) Full Text: DOI OpenURL
Gidea, Marian; Goldsmith, Daniel; Katz, Yuri; Roldan, Pablo; Shmalo, Yonah Topological recognition of critical transitions in time series of cryptocurrencies. (English) Zbl 07530523 Physica A 548, Article ID 123843, 22 p. (2020). MSC: 82-XX PDF BibTeX XML Cite \textit{M. Gidea} et al., Physica A 548, Article ID 123843, 22 p. (2020; Zbl 07530523) 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 arXiv 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
Paluzo-Hidalgo, Eduardo; Gonzalez-Diaz, Rocio; Gutiérrez-Naranjo, Miguel A. Two-hidden-layer feed-forward networks are universal approximators: a constructive approach. (English) Zbl 1491.41009 Neural Netw. 131, 29-36 (2020). MSC: 41A30 68T05 92B20 PDF BibTeX XML Cite \textit{E. Paluzo-Hidalgo} et al., Neural Netw. 131, 29--36 (2020; Zbl 1491.41009) Full Text: DOI arXiv OpenURL
Arrigo, Francesca; Higham, Desmond J.; Tudisco, Francesco A framework for second-order eigenvector centralities and clustering coefficients. (English) Zbl 1472.65043 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2236, Article ID 20190724, 21 p. (2020). MSC: 65F15 05C50 91D30 15A18 15A69 PDF BibTeX XML Cite \textit{F. Arrigo} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2236, Article ID 20190724, 21 p. (2020; Zbl 1472.65043) Full Text: DOI arXiv OpenURL
Grange, Pascal Topology of the mesoscale connectome of the mouse brain. (English) Zbl 1472.92016 Comput. Math. Biophys. 8, No. 1, 126-140 (2020). MSC: 92B20 55U10 92-08 55-08 PDF BibTeX XML Cite \textit{P. Grange}, Comput. Math. Biophys. 8, No. 1, 126--140 (2020; Zbl 1472.92016) Full Text: DOI arXiv OpenURL
Lisitsa, Vadim; Bazaikin, Yaroslav; Khachkova, Tatyana Computational topology-based characterization of pore space changes due to chemical dissolution of rocks. (English) Zbl 1481.74543 Appl. Math. Modelling 88, 21-37 (2020). MSC: 74L10 86A60 PDF BibTeX XML Cite \textit{V. Lisitsa} et al., Appl. Math. Modelling 88, 21--37 (2020; Zbl 1481.74543) Full Text: DOI OpenURL
Epstein, Michael; Hanin, Boris; Lundberg, Erik The lemniscate tree of a random polynomial. (L’arbre lemniscate d’un polynôme aléatoire.) (English. French summary) Zbl 1476.30029 Ann. Inst. Fourier 70, No. 4, 1663-1687 (2020). Reviewer: Olga M. Katkova (Boston) MSC: 30C15 60G60 31A15 14P25 05A15 60C05 60F05 PDF BibTeX XML Cite \textit{M. Epstein} et al., Ann. Inst. Fourier 70, No. 4, 1663--1687 (2020; Zbl 1476.30029) Full Text: DOI arXiv OpenURL
Müller, Tobias; Penrose, Mathew D. Optimal Cheeger cuts and bisections of random geometric graphs. (English) Zbl 1459.05306 Ann. Appl. Probab. 30, No. 3, 1458-1483 (2020). MSC: 05C80 05C10 60D05 62H30 PDF BibTeX XML Cite \textit{T. Müller} and \textit{M. D. Penrose}, Ann. Appl. Probab. 30, No. 3, 1458--1483 (2020; Zbl 1459.05306) Full Text: DOI arXiv Euclid OpenURL
Mcguirl, Melissa R.; Volkening, Alexandria; Sandstede, Björn Topological data analysis of zebrafish patterns. (English) Zbl 1456.92004 Proc. Natl. Acad. Sci. USA 117, No. 10, 5113-5124 (2020). MSC: 92-08 55N31 PDF BibTeX XML Cite \textit{M. R. Mcguirl} et al., Proc. Natl. Acad. Sci. USA 117, No. 10, 5113--5124 (2020; Zbl 1456.92004) Full Text: DOI arXiv OpenURL
Maroulas, Vasileios; Micucci, Cassie Putman; Spannaus, Adam A stable cardinality distance for topological classification. (English) Zbl 1474.62238 Adv. Data Anal. Classif., ADAC 14, No. 3, 611-628 (2020). MSC: 62H30 62P30 62R40 PDF BibTeX XML Cite \textit{V. Maroulas} et al., Adv. Data Anal. Classif., ADAC 14, No. 3, 611--628 (2020; Zbl 1474.62238) Full Text: DOI arXiv OpenURL
Iyer, Srikanth K.; Yogeshwaran, D. Thresholds for vanishing of ‘isolated’ faces in random Čech and Vietoris-Rips complexes. (English. French summary) Zbl 1469.60057 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 3, 1869-1897 (2020). MSC: 60D05 05C80 05E45 60B99 PDF BibTeX XML Cite \textit{S. K. Iyer} and \textit{D. Yogeshwaran}, Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 3, 1869--1897 (2020; Zbl 1469.60057) Full Text: DOI arXiv Euclid OpenURL
Erickson, Jeff; Wang, Yipu Topologically trivial closed walks in directed surface graphs. (English) Zbl 1466.05049 Discrete Comput. Geom. 64, No. 4, 1253-1294 (2020). MSC: 05C10 05C85 05C20 57M15 68U03 68Q17 PDF BibTeX XML Cite \textit{J. Erickson} and \textit{Y. Wang}, Discrete Comput. Geom. 64, No. 4, 1253--1294 (2020; Zbl 1466.05049) Full Text: DOI arXiv Link OpenURL
Heine, Christian; Garth, Christoph Topological subdivision graphs for comparative and multifield visualization. (English) Zbl 1465.68267 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., 203-217 (2020). MSC: 68U05 68R10 68U03 PDF BibTeX XML Cite \textit{C. Heine} and \textit{C. Garth}, 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. 203--217 (2020; Zbl 1465.68267) Full Text: DOI OpenURL
Rieck, Bastian; Sadlo, Filip; Leitte, Heike Topological machine learning with persistence indicator functions. (English) Zbl 1465.68230 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., 87-101 (2020). MSC: 68T05 55N31 PDF BibTeX XML Cite \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. 87--101 (2020; Zbl 1465.68230) Full Text: DOI arXiv OpenURL
Rieck, Bastian; Banagl, Markus; Sadlo, Filip; Leitte, Heike Persistent intersection homology for the analysis of discrete data. (English) Zbl 1475.55006 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., 37-51 (2020). Reviewer: Ran Levi (Aberdeen) MSC: 55N31 55N33 PDF BibTeX XML Cite \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. 37--51 (2020; Zbl 1475.55006) Full Text: DOI arXiv OpenURL
Smirnov, Dmitriy; Morozov, Dmitriy Triplet merge trees. (English) Zbl 1465.68061 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., 19-36 (2020). MSC: 68P05 68U03 68W05 68W10 PDF BibTeX XML Cite \textit{D. Smirnov} and \textit{D. Morozov}, 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. 19--36 (2020; Zbl 1465.68061) Full Text: DOI OpenURL