Homological algebra and data
暂无分享,去创建一个
[1] Sayan Mukherjee,et al. The Geometry of Synchronization Problems and Learning Group Actions , 2016, Discrete & Computational Geometry.
[2] A. Singer. Angular Synchronization by Eigenvectors and Semidefinite Programming. , 2009, Applied and computational harmonic analysis.
[3] Patrizio Frosini,et al. Natural Pseudo-Distance and Optimal Matching between Reduced Size Functions , 2008, ArXiv.
[4] Matthew Kahle,et al. Topology of random clique complexes , 2006, Discret. Math..
[5] E. Pastalkova,et al. Clique topology reveals intrinsic geometric structure in neural correlations , 2015, Proceedings of the National Academy of Sciences.
[6] R. Forman. A USER'S GUIDE TO DISCRETE MORSE THEORY , 2002 .
[7] 柏原 正樹,et al. Categories and Sheaves , 2005 .
[8] Mason A. Porter,et al. A roadmap for the computation of persistent homology , 2015, EPJ Data Science.
[9] Robert Ghrist,et al. Elementary Applied Topology , 2014 .
[10] M. Gameiro,et al. Topological Measurement of Protein Compressibility via Persistence Diagrams , 2012 .
[11] R. Ghrist,et al. Matroid Filtrations and Computational Persistent Homology , 2016, 1606.00199.
[12] Leonidas J. Guibas,et al. A Barcode Shape Descriptor for Curve Point Cloud Data , 2004, PBG.
[13] Konstantin Mischaikow,et al. Morse Theory for Filtrations and Efficient Computation of Persistent Homology , 2013, Discret. Comput. Geom..
[14] Thomas Lewiner,et al. Applications of Forman's discrete Morse theory to topology visualization and mesh compression , 2004, IEEE Transactions on Visualization and Computer Graphics.
[15] Vidit Nanda. Discrete Morse theory and localization , 2015, Journal of Pure and Applied Algebra.
[16] Leonidas J. Guibas,et al. Reconstruction Using Witness Complexes , 2007, SODA '07.
[17] Justin Curry,et al. Classification of Constructible Cosheaves , 2016, 1603.01587.
[18] R. Forman. Morse Theory for Cell Complexes , 1998 .
[19] Pierre Schapira,et al. Operations on constructible functions , 1991 .
[20] G. Carlsson,et al. Topology based data analysis identifies a subgroup of breast cancers with a unique mutational profile and excellent survival , 2011, Proceedings of the National Academy of Sciences.
[21] Michael Robinson,et al. Topological Signal Processing , 2014 .
[22] Gunnar E. Carlsson,et al. Topological estimation using witness complexes , 2004, PBG.
[24] Dmitry N. Kozlov,et al. Combinatorial Algebraic Topology , 2007, Algorithms and computation in mathematics.
[25] S. I. Gelʹfand,et al. Methods of Homological Algebra , 1996 .
[26] Michael Farber,et al. Invitation to Topological Robotics , 2008, Zurich Lectures in Advanced Mathematics.
[27] Michael Lesnick,et al. The Theory of the Interleaving Distance on Multidimensional Persistence Modules , 2011, Found. Comput. Math..
[28] Vidit Nanda,et al. Discrete Morse theory and classifying spaces , 2016, Advances in Mathematics.
[29] Herbert Edelsbrunner,et al. Computational Topology - an Introduction , 2009 .
[30] Lior Pachter,et al. The Mathematics of Phylogenomics , 2004, SIAM Rev..
[31] Yoel Shkolnisky,et al. Viewing Direction Estimation in Cryo-EM Using Synchronization , 2012, SIAM J. Imaging Sci..
[32] Modules of splines on polyhedral complexes , 1992 .
[33] J. Derenick,et al. Topological Landmark-based Navigation and Mapping , 2012 .
[34] Jörg Schürmann,et al. Topology of Singular Spaces and Constructible Sheaves , 2004 .
[35] J. O'Keefe,et al. The hippocampus as a spatial map. Preliminary evidence from unit activity in the freely-moving rat. , 1971, Brain research.
[36] C. H. Dowker. HOMOLOGY GROUPS OF RELATIONS , 1952 .
[37] Herbert Edelsbrunner,et al. Topological persistence and simplification , 2000, Proceedings 41st Annual Symposium on Foundations of Computer Science.
[38] Ananthram Swami,et al. A distributed collapse of a network's dimensionality , 2013, 2013 IEEE Global Conference on Signal and Information Processing.
[39] Robert Ghrist,et al. The geometry and topology of reconfiguration , 2007, Adv. Appl. Math..
[40] P. Schapira,et al. Tomography of Constructible Functions , 1995, AAECC.
[41] Peter John Wood,et al. Ieee Transactions on Pattern Analysis and Machine Intelligence Theory and Algorithms for Constructing Discrete Morse Complexes from Grayscale Digital Images , 2022 .
[42] Marvin Minsky,et al. Perceptrons: An Introduction to Computational Geometry , 1969 .
[43] R. Ho. Algebraic Topology , 2022 .
[44] Danielle S. Bassett,et al. Classification of weighted networks through mesoscale homological features , 2015, J. Complex Networks.
[45] Alberto Speranzon,et al. Homological sensing for mobile robot localization , 2013, 2013 IEEE International Conference on Robotics and Automation.
[46] Carina Curto,et al. Cell Groups Reveal Structure of Stimulus Space , 2008, PLoS Comput. Biol..
[47] David S Schneider,et al. Tracking Resilience to Infections by Mapping Disease Space , 2016, PLoS biology.
[48] Sanjeevi Krishnan,et al. Positive Alexander Duality for Pursuit and Evasion , 2017, SIAM J. Appl. Algebra Geom..
[49] Steven M. LaValle,et al. Nonpositive Curvature and Pareto Optimal Coordination of Robots , 2006, SIAM J. Control. Optim..
[51] Steve Oudot,et al. Persistence Theory - From Quiver Representations to Data Analysis , 2015, Mathematical surveys and monographs.