Strong Collapse for Persistence
暂无分享,去创建一个
Jean-Daniel Boissonnat | Siddharth Pritam | Divyansh Pareek | J. Boissonnat | Siddharth Pritam | Divyansh Pareek
[1] Steve Oudot,et al. Towards persistence-based reconstruction in euclidean spaces , 2007, SCG '08.
[2] Ghita Kouadri Mostéfaoui,et al. A Roadmap , 2020 .
[3] Jose A. Perea,et al. A Klein-Bottle-Based Dictionary for Texture Representation , 2014, International Journal of Computer Vision.
[4] Chao Chen,et al. Persistent Homology Computation with a Twist , 2011 .
[5] Herbert Edelsbrunner,et al. Computational Topology - an Introduction , 2009 .
[6] André Lieutier,et al. Efficient Data Structure for Representing and Simplifying Simplicial complexes in High Dimensions , 2012, Int. J. Comput. Geom. Appl..
[7] G. Carlsson,et al. Topology of viral evolution , 2013, Proceedings of the National Academy of Sciences.
[8] J. Whitehead. Simplicial Spaces, Nuclei and m‐Groups , 1939 .
[9] Primoz Skraba,et al. Zigzag persistent homology in matrix multiplication time , 2011, SoCG '11.
[10] Konstantin Mischaikow,et al. Morse Theory for Filtrations and Efficient Computation of Persistent Homology , 2013, Discret. Comput. Geom..
[11] Brittany Terese Fasy,et al. Introduction to the R package TDA , 2014, ArXiv.
[12] David Cohen-Steiner,et al. Stability of Persistence Diagrams , 2005, Discret. Comput. Geom..
[13] Jean-Daniel Boissonnat,et al. An Efficient Representation for Filtrations of Simplicial Complexes , 2016, SODA.
[14] R. Ho. Algebraic Topology , 2022 .
[15] P. Dlotko,et al. SIMPLIFICATION OF COMPLEXES FOR PERSISTENT HOMOLOGY COMPUTATIONS , 2013, 1304.8074.
[16] Steve Oudot,et al. Zigzag Persistence via Reflections and Transpositions , 2015, SODA.
[17] Herbert Edelsbrunner,et al. Topological persistence and simplification , 2000, Proceedings 41st Annual Symposium on Foundations of Computer Science.
[18] Vin de Silva,et al. On the Local Behavior of Spaces of Natural Images , 2007, International Journal of Computer Vision.
[19] Michael Kerber,et al. Approximate Čech Complex in Low and High Dimensions , 2013, ISAAC.
[20] Dmitriy Morozov,et al. Zigzag persistent homology and real-valued functions , 2009, SCG '09.
[21] Ulrich Bauer,et al. PHAT - Persistent Homology Algorithms Toolbox , 2014, ICMS.
[22] Tamal K. Dey,et al. SimBa: An Efficient Tool for Approximating Rips-Filtration Persistence via Simplicial Batch-Collapse , 2016, ESA.
[23] Hamid Krim,et al. Computing persistent features in big data: A distributed dimension reduction approach , 2014, 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).
[24] François Le Gall,et al. Powers of tensors and fast matrix multiplication , 2014, ISSAC.
[25] Mason A. Porter,et al. A roadmap for the computation of persistent homology , 2015, EPJ Data Science.
[26] Martin Tancer. Recognition of Collapsible Complexes is NP-Complete , 2016, Discret. Comput. Geom..
[27] Elias Gabriel Minian,et al. Strong Homotopy Types, Nerves and Collapses , 2009, Discret. Comput. Geom..
[28] C. H. Dowker. HOMOLOGY GROUPS OF RELATIONS , 1952 .
[29] Vin de Silva,et al. Coverage in sensor networks via persistent homology , 2007 .
[30] Tamal K. Dey,et al. Computing Topological Persistence for Simplicial Maps , 2012, SoCG.
[31] Magnus Bakke Botnan,et al. Approximating persistent homology in Euclidean space through collapses , 2014, Applicable Algebra in Engineering, Communication and Computing.
[32] Afra Zomorodian,et al. The tidy set: a minimal simplicial set for computing homology of clique complexes , 2010, SCG.
[33] Afra Zomorodian,et al. Computing Persistent Homology , 2004, SCG '04.
[34] Jean-Daniel Boissonnat,et al. Building Efficient and Compact Data Structures for Simplicial Complexes , 2016, Algorithmica.
[35] Ulrich Bauer,et al. Clear and Compress: Computing Persistent Homology in Chunks , 2013, Topological Methods in Data Analysis and Visualization.
[36] Ananthram Swami,et al. Simplifying the homology of networks via strong collapses , 2013, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing.
[37] Michael Kerber,et al. Barcodes of Towers and a Streaming Algorithm for Persistent Homology , 2019, Discret. Comput. Geom..
[38] Don Sheehy,et al. Linear-Size Approximations to the Vietoris–Rips Filtration , 2012, Discrete & Computational Geometry.
[39] Gunnar E. Carlsson,et al. Zigzag Persistence , 2008, Found. Comput. Math..
[40] Juraj Stacho,et al. Complexity of simplicial homology and independence complexes of chordal graphs , 2016, Comput. Geom..
[41] Herbert Edelsbrunner,et al. Topology preserving edge contraction , 1998 .