Zobrazeno 1 - 10
of 876
pro vyhledávání: '"[MATH.MATH-AT]Mathematics [math]/Algebraic Topology [math.AT]"'
Publikováno v:
Discrete and Computational Geometry, 68(4), 1078-1101. Springer New York
Leibniz International Proceedings in Informatics
SoCG 2020-36th International Symposium on Computational Geometry
SoCG 2020-36th International Symposium on Computational Geometry, Sergio Cabello; Danny Z. Chen, Jun 2020, Zurich, Switzerland. pp.22:1-22:16, ⟨10.4230/LIPIcs.SoCG.2020.22⟩
Botnan, M B, Lebovici, V & Oudot, S 2022, ' On Rectangle-Decomposable 2-Parameter Persistence Modules ', Discrete and Computational Geometry, vol. 68, no. 4, pp. 1078-1101 . https://doi.org/10.1007/s00454-022-00383-y
Discrete and Computational Geometry
Discrete and Computational Geometry, 2022, 68 (4), pp.1078-1101. ⟨10.1007/s00454-022-00383-y⟩
36th International Symposium on Computational Geometry, SoCG 2020: [Proceedings], 1-16
STARTPAGE=1;ENDPAGE=16;TITLE=36th International Symposium on Computational Geometry, SoCG 2020
Botnan, M B, Lebovici, V & Oudot, S 2020, On rectangle-decomposable 2-parameter persistence modules . in S Cabello & D Z Chen (eds), 36th International Symposium on Computational Geometry, SoCG 2020 : [Proceedings] . Leibniz International Proceedings in Informatics, LIPIcs, vol. 164, Schloss Dagstuhl-Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, pp. 1-16, 36th International Symposium on Computational Geometry, SoCG 2020, Zurich, Switzerland, 23/06/20 . https://doi.org/10.4230/LIPIcs.SoCG.2020.22
Leibniz International Proceedings in Informatics
SoCG 2020-36th International Symposium on Computational Geometry
SoCG 2020-36th International Symposium on Computational Geometry, Sergio Cabello; Danny Z. Chen, Jun 2020, Zurich, Switzerland. pp.22:1-22:16, ⟨10.4230/LIPIcs.SoCG.2020.22⟩
Botnan, M B, Lebovici, V & Oudot, S 2022, ' On Rectangle-Decomposable 2-Parameter Persistence Modules ', Discrete and Computational Geometry, vol. 68, no. 4, pp. 1078-1101 . https://doi.org/10.1007/s00454-022-00383-y
Discrete and Computational Geometry
Discrete and Computational Geometry, 2022, 68 (4), pp.1078-1101. ⟨10.1007/s00454-022-00383-y⟩
36th International Symposium on Computational Geometry, SoCG 2020: [Proceedings], 1-16
STARTPAGE=1;ENDPAGE=16;TITLE=36th International Symposium on Computational Geometry, SoCG 2020
Botnan, M B, Lebovici, V & Oudot, S 2020, On rectangle-decomposable 2-parameter persistence modules . in S Cabello & D Z Chen (eds), 36th International Symposium on Computational Geometry, SoCG 2020 : [Proceedings] . Leibniz International Proceedings in Informatics, LIPIcs, vol. 164, Schloss Dagstuhl-Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, pp. 1-16, 36th International Symposium on Computational Geometry, SoCG 2020, Zurich, Switzerland, 23/06/20 . https://doi.org/10.4230/LIPIcs.SoCG.2020.22
This paper addresses two questions: (a) can we identify a sensible class of 2-parameter persistence modules on which the rank invariant is complete? (b) can we determine efficiently whether a given 2-parameter persistence module belongs to this class
Autor:
Amir, Djamel Eddine, Hoyrup, Mathieu
A compact set has computable type if any homeomorphic copy of the set which is semicomputable is actually computable. Miller proved that finite-dimensional spheres have computable type, Iljazovi\'c and other authors established the property for many
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dbb1d5548f5c92d3dbbafe399a90169b
https://inria.hal.science/hal-03806572v2/document
https://inria.hal.science/hal-03806572v2/document
Autor:
Rodriguez, Jonas, Millet, Emilie, Welcker, Claude, Cabrera-Bosquet, Llorenç, Parent, Boris, Tardieu, François, Vile, Denis, Violle, Cyrille, Chazal, Frédéric, Wisser, Randall
Publikováno v:
Plant Biology Europe 2023
Plant Biology Europe 2023, Jul 2023, Marseille, France
Plant Biology Europe 2023, Jul 2023, Marseille, France
International audience; Crop species rely on genetic and phenotypic diversity to adapt to various environments. Genotypes respond differently, resulting in genotype-by-environment interactions (GxE). Recent advances in phenomics and modeling allow fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______165::01be6efa5270f1c97fd322869dc25997
https://hal.inrae.fr/hal-04157374
https://hal.inrae.fr/hal-04157374
Autor:
Glisse, Marc
0-dimensional persistent homology is known, from a computational point of view, as the easy case. Indeed, given a list of $n$ edges in non-decreasing order of filtration value, one only needs a union-find data structure to keep track of the connected
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______165::79592ce386611051cd4b277d647d9027
https://inria.hal.science/hal-04148137
https://inria.hal.science/hal-04148137
A Framework for Fast and Stable Representations of Multiparameter Persistent Homology Decompositions
Topological data analysis (TDA) is an area of data science that focuses on using invariants from algebraic topology to provide multiscale shape descriptors for geometric data sets such as point clouds. One of the most important such descriptors is {\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::141ac367c036cb418bfbe82023526b26
https://inria.hal.science/hal-04135811
https://inria.hal.science/hal-04135811
Persistent homology (PH) provides topological descriptors for geometric data, such as weighted graphs, which are interpretable, stable to perturbations, and invariant under, e.g., relabeling. Most applications of PH focus on the one-parameter case --
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::44eec445c21790bf130019a2a9420ea2
https://hal.science/hal-04133009
https://hal.science/hal-04133009
Publikováno v:
Journal of Noncommutative Geometry
Journal of Noncommutative Geometry, 2023, ⟨10.4171/JNCG/488⟩
Journal of Noncommutative Geometry, 2023, ⟨10.4171/JNCG/488⟩
In this paper we deal with Calabi-Yau structures associated with (differential graded versions of) deformed multiplicative preprojective algebras, of which we provide concrete algebraic descriptions. Along the way, we prove a general result that stat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::761eaa5bdec6d6863c7e88d89aa39213
https://hal.science/hal-03151860
https://hal.science/hal-03151860
We quantise Whitney’s construction to prove the existence of a triangulation for any$$C^2$$C2manifold, so that we get an algorithm with explicit bounds. We also give a new elementary proof, which is completely geometric.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75e227bc171f8a4a67a04d5a702a9298
https://inria.hal.science/hal-01950149v2/document
https://inria.hal.science/hal-01950149v2/document
Autor:
Boissonnat, Jean-Daniel, Dutta, Kunal
Computing persistent homology using Gaussian kernels is useful in the domains of topological data analysis and machine learning as shown by Phillips, Wang and Zheng [SoCG 2015]. However, contrary to the case of computing persistent homology using the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::844faa001dd26a26f2ba797fa1a7002f
http://arxiv.org/abs/2301.03321
http://arxiv.org/abs/2301.03321