# Publications & Preprints

No. | Author(s) | Title | Preprint (arXiv) |
Publication (MathSciNet) |
---|---|---|---|---|

2017c01 | Grigoriev, Dima; Vorobjov, Nicolai | Upper bounds on Betti numbers of tropical prevarieties | 1709.08594 | |

2017c02 | Batko, Bogdan; Kaczynski, T.; Mrozek, M.; Wanner, T. | Linking combinatorial and classical dynamics: conley index and morse decompositions | 1710.05802 | |

2017c03 | Bauer, Ulrich; Bjerkevik, H.K. | Tight equivalences of metrics between Reeb graphs | in preparation | |

2017c04 | Belton, Robin; Brooks, R.; Ebli, L.; Fajstrup, Lisbeth; Fasy, Brittany; Ray, C.; Sanderson N.; Vidaurre, E. | An obstruction to contractibility of spaces of directed paths | 1902.01039 | |

2017c05 | Bjerkevik, Havard; Botnan, Magnus | Computational complexity of the interleaving distance | MR3824257 | |

34th International Symposium on Computational Geometry (SoCG 2018), Leibniz International Proceedings in Informatics (LIPIcs), vol. 99, Schloss Dagstuhl–Leibniz- Zentrum fuer Informatik, 2018, pp. 1–15. | ||||

2017c06 | Bjerkevik, Havard; Botnan, Magnus; Kerber, Michael | Computing the interleaving distance is NPhard, 2018 | 1811.09165 | |

2017c07 | Brodzki, Jacek; Gao, T.; Mukherjee, S. | The geometry of synchronization problems and learning group actions | Discrete Comput. Geom. (2019) | |

2017c08 | Bubenik, Peter | The persistence landscape and some of its properties | 1810.04963 | Proceedings of the 2018 Abel Symposium (accepted) (2019) |

2017c09 | Bubenik, Peter; Hull, Michael; Patel, Dhruv; Whittle, Benjamin | Persistent homology detects curvature, 2019 | 1905.13196 | |

2017c10 | Bubenik, Peter; Vergili, T. | Topological spaces of persistence modules and their properties | MR3927353 | |

2017c11 | Chacholski, Wojciech; Levi, Ran; Meshulam, Roy | On the topology of complexes of injective words | submitted | |

2017c12 | Chen, Chao; Ni, X.; Bai, Q.; Wang, Yusu | A topological regularizer for classifiers via persistent homology | Proceedings of Machine Learning Research (K. Chaudhuri and M. Sugiyama, eds.)Proceedings of Machine Learning Research, vol. 89, PMLR, 16–18 Apr 2019, pp. 2573–2582. | |

2017c13 | Dey, Tamal; Juda, Mateusz; Kapela, T.; Kubica, J.;Lipinski, M.;Mrozek, Marian | Persistent homology of Morse decompositions in combinatorial dynamics | MR3922908 | |

2017c14 | Goubault, Eric | On directed homotopy equivalences and a notion of directed topological complexity | 1709.05702 | |

2017c15 | Goubault, Eric; Farber, Michael; Sagnier, Aurélien | Directed topological complexity | 1812.09382 | |

2017c16 | Grigoriev, Dima; Vorobjov, Nicolai | Orthogonal tropical linear prevarieties | 1803.01068 | |

2017c17 | Kaczynski, Tomasz; Mrozek, Marian; Wanner, Thomas | Creating semiflows on simplicial complexes from combinatorial vector fields | in preparation | |

2017c18 | Kozlov, Dmitry; Meshulam, Roy | Quantitative aspects of acyclicity | 1802.03210 | |

2017c19 | Kurlin, Vitaliy; Muszynski, Grzegorz | A persistence-based approach to automatic detection of line segments in Images | International Workshop on Computational Topology in Image Context (R. Marfil, M. Calderon, Diaz del Rio F., P. Real, and A. Bandera, eds.), L, vol. 11382, Springer, 2019, pp. 137–150 | |

2017c20 | Lütgehetmann, Daniel; Govc, Dejan; Smith, Jason; Levi, Ran | Computing persistent homology of directed flag complexes | 1906.10458 | |

2017c21 | Patrangenaru, V.; Bubenik, Peter; Paige, R. L.; Osborne, D. | Challenges in topological object data analysis | Sankhya A (2018) | |

2017c22 | Raussen, Martin | Pair component categories for directed spaces | 1812.09507v2 | |

2017c23 | Raussen, Martin | Inessential directed maps and directed homotopy equivalences | 1906.09031 | |

2017c24 | Rieser, Antonio | Cech closure spaces: A framework for discrete homotopy | 1708.09558v5 | |

2017c25 | Rybakken, Erik; Baas, Nils A.; Dunn, B. | Decoding of neural data using cohomological feature extraction | MR3898980 | |

2017c26 | Spreemann, Gard; Dunn, B.; Botnan, Magnus; Baas, Nils A. | Using persistent homology to reveal hidden covariates in systems governed by the kinetic ising model | MR3789145 | |

2017c27 | Zhang, K.; Wu, P.; Yuan, Ch.; Wang, Yusu; Metaxas, D.; Chen, Chao | Heuristic search for homology localization problem and its application in cardiac trabeculae reconstruction | accepted at 28th International Joint Conference on Artificial Intelligence (IJCAI), 2019 | |

2017c28 | Ziemianski, Krzysztof | Spaces of directed paths on pre-cubical sets II | 1901.05206 | |

2017c29 | Ziemianski, Krzysztof | Stable components of directed spaces | MR3942260 |