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Tamal K. Dey | Cheng Xin | Cheng Xin | T. Dey
[1] Steve Oudot,et al. Persistence Theory - From Quiver Representations to Data Analysis , 2015, Mathematical surveys and monographs.
[2] Leonidas J. Guibas,et al. Proximity of persistence modules and their diagrams , 2009, SCG '09.
[3] Andrea Cerri,et al. A new approximation Algorithm for the Matching Distance in Multidimensional Persistence , 2011 .
[4] Dmitriy Morozov,et al. Geometry Helps to Compare Persistence Diagrams , 2016, ALENEX.
[5] Klaus Lux,et al. Computing Decompositions of Modules over Finite-Dimensional Algebras , 2007, Exp. Math..
[6] Amit Patel,et al. Categorified Reeb Graphs , 2015, Discret. Comput. Geom..
[7] Ezra Miller. Data structures for real multiparameter persistence modules , 2017, 1709.08155.
[8] Peter Bubenik,et al. Categorification of Persistent Homology , 2012, Discret. Comput. Geom..
[9] Michael Atiyah,et al. On the Krull-Schmidt theorem with application to sheaves , 1956 .
[10] Michael Lesnick,et al. The Theory of the Interleaving Distance on Multidimensional Persistence Modules , 2011, Found. Comput. Math..
[11] Michael Lesnick,et al. Algebraic Stability of Zigzag Persistence Modules , 2016, Algebraic & Geometric Topology.
[12] Cary Webb. Decomposition of graded modules , 1985 .
[13] Steve Oudot,et al. The Structure and Stability of Persistence Modules , 2012, Springer Briefs in Mathematics.
[14] David Cohen-Steiner,et al. Stability of Persistence Diagrams , 2005, Discret. Comput. Geom..
[15] Ulrich Bauer,et al. Induced Matchings of Barcodes and the Algebraic Stability of Persistence , 2013, SoCG.
[16] Håvard Bakke Bjerkevik. Stability of higher-dimensional interval decomposable persistence modules , 2016, ArXiv.
[17] Daniela Giorgi,et al. A new algorithm for computing the 2-dimensional matching distance between size functions , 2011, Pattern Recognit. Lett..
[18] Magnus Bakke Botnan,et al. Computational Complexity of the Interleaving Distance , 2017, SoCG.
[19] Afra Zomorodian,et al. The Theory of Multidimensional Persistence , 2007, SCG '07.
[20] M. Ferri,et al. Betti numbers in multidimensional persistent homology are stable functions , 2013 .
[21] Claudia Landi,et al. The rank invariant stability via interleavings , 2014, ArXiv.
[22] Steve Oudot,et al. Decomposition of Exact pfd Persistence Bimodules , 2020, Discret. Comput. Geom..
[23] Herbert Edelsbrunner,et al. Computational Topology - an Introduction , 2009 .
[24] W. Crawley-Boevey. Decomposition of pointwise finite-dimensional persistence modules , 2012, 1210.0819.
[25] Amit Patel,et al. Generalized persistence diagrams , 2016, J. Appl. Comput. Topol..