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[1] R. Ghrist. Barcodes: The persistent topology of data , 2007 .
[2] Afra Zomorodian,et al. Fast construction of the Vietoris-Rips complex , 2010, Comput. Graph..
[3] Isabel K. Darcy,et al. Tracing patterns and shapes in remittance and migration networks via persistent homology , 2018, EPJ Data Science.
[4] Herbert Edelsbrunner,et al. Computational Topology - an Introduction , 2009 .
[5] Ulrich Bauer,et al. PHAT - Persistent Homology Algorithms Toolbox , 2014, ICMS.
[6] Heather A. Harrington,et al. Persistent homology of time-dependent functional networks constructed from coupled time series. , 2016, Chaos.
[7] J. Marron,et al. Persistent Homology Analysis of Brain Artery Trees. , 2014, The annals of applied statistics.
[8] Derek Lo,et al. Modeling the spread of the Zika virus using topological data analysis , 2016, PloS one.
[9] R. Ho. Algebraic Topology , 2022 .
[10] Afra Zomorodian,et al. Computing Persistent Homology , 2004, SCG '04.
[11] Henry Markram,et al. Quantifying topological invariants of neuronal morphologies , 2016, ArXiv.
[12] Ronald Fedkiw,et al. A review of level-set methods and some recent applications , 2018, J. Comput. Phys..
[13] S. Mukherjee,et al. Topological Consistency via Kernel Estimation , 2014, 1407.5272.
[14] Kelin Xia,et al. Persistent homology analysis of protein structure, flexibility, and folding , 2014, International journal for numerical methods in biomedical engineering.
[15] Konstantin Mischaikow,et al. Topological data analysis of contagion maps for examining spreading processes on networks , 2014, Nature Communications.
[16] Yuri Dabaghian,et al. Reconceiving the hippocampal map as a topological template , 2014, eLife.
[17] Hong Yan,et al. Alpha shape and Delaunay triangulation in studies of protein-related interactions , 2014, Briefings Bioinform..
[18] Kevin J. Emmett,et al. Multiscale Topology of Chromatin Folding , 2015, BICT.
[19] Morten L. Kringelbach,et al. Insights into Brain Architectures from the Homological Scaffolds of Functional Connectivity Networks , 2016, Front. Syst. Neurosci..
[20] Ronald Fedkiw,et al. Level set methods and dynamic implicit surfaces , 2002, Applied mathematical sciences.
[21] Mason A. Porter,et al. A roadmap for the computation of persistent homology , 2015, EPJ Data Science.
[22] Henry Markram,et al. Cliques of Neurons Bound into Cavities Provide a Missing Link between Structure and Function , 2016, Front. Comput. Neurosci..
[23] J. Sethian,et al. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations , 1988 .
[24] Heather A Harrington,et al. Topological data analysis of continuum percolation with disks. , 2018, Physical review. E.
[25] Vin de Silva,et al. On the Local Behavior of Spaces of Natural Images , 2007, International Journal of Computer Vision.
[26] Ulrich Bauer,et al. Statistical Topological Data Analysis - A Kernel Perspective , 2015, NIPS.
[27] Michal Adamaszek,et al. The Vietoris-Rips complexes of a circle , 2015, ArXiv.
[28] Michael Kerber,et al. Approximate Čech Complex in Low and High Dimensions , 2013, ISAAC.
[29] Xiaojin Zhu,et al. Stochastic Multiresolution Persistent Homology Kernel , 2016, IJCAI.
[30] Peter Bubenik,et al. Statistical topological data analysis using persistence landscapes , 2012, J. Mach. Learn. Res..
[31] Andrew J. Blumberg,et al. Fast Estimation of Recombination Rates Using Topological Data Analysis , 2018, Genetics.
[32] M. Gameiro,et al. A topological measurement of protein compressibility , 2014, Japan Journal of Industrial and Applied Mathematics.
[33] Justin Solomon,et al. Gerrymandering and Compactness: Implementation Flexibility and Abuse , 2018, Political Analysis.
[34] David G. Kirkpatrick,et al. On the shape of a set of points in the plane , 1983, IEEE Trans. Inf. Theory.
[35] Lori Ziegelmeier,et al. Mind the Gap: A Study in Global Development through Persistent Homology , 2017, ArXiv.
[36] Mason A. Porter,et al. Network analysis of particles and grains , 2017, J. Complex Networks.
[37] Henry Adams,et al. Persistence Images: A Stable Vector Representation of Persistent Homology , 2015, J. Mach. Learn. Res..
[38] P ? ? ? ? ? ? ? % ? ? ? ? , 1991 .
[39] Mason A. Porter,et al. The Topological "Shape" of Brexit , 2016, ArXiv.
[40] Danielle S. Bassett,et al. Two’s company, three (or more) is a simplex , 2016, Journal of Computational Neuroscience.
[41] Carina Curto,et al. What can topology tell us about the neural code , 2016, 1605.01905.
[42] Dragan D. Nikolic,et al. Using persistent homology and dynamical distances to analyze protein binding , 2014, Statistical applications in genetics and molecular biology.
[43] C. Fred Bergsten. Two's Company , 2009 .
[44] Moon Duchin,et al. Discrete geometry for electoral geography , 2018, 1808.05860.
[45] André Panisson,et al. Unveiling patterns of international communities in a global city using mobile phone data , 2015, EPJ Data Science.
[46] Jaejun Yoo,et al. Topological persistence vineyard for dynamic functional brain connectivity during resting and gaming stages , 2016, Journal of Neuroscience Methods.
[47] Ulrich Bauer,et al. A stable multi-scale kernel for topological machine learning , 2014, 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).
[48] L. Vietoris. Über den höheren Zusammenhang kompakter Räume und eine Klasse von zusammenhangstreuen Abbildungen , 1927 .