Zobrazeno 1 - 10
of 700
pro vyhledávání: '"A. Lebovici"'
Topological integral transforms have found many applications in shape analysis, from prediction of clinical outcomes in brain cancer to analysis of barley seeds. Using Euler characteristic as a measure, these objects record rich geometric information
Externí odkaz:
http://arxiv.org/abs/2405.02256
Local conditions for the direct summands of a persistence module to belong to a certain class of indecomposables have been proposed in the 2-parameter setting, notably for the class of indecomposables called block modules, which plays a prominent rol
Externí odkaz:
http://arxiv.org/abs/2402.16624
Autor:
Hacquard, Olympio, Lebovici, Vadim
Publikováno v:
Journal of Machine Learning Research 25 (2024) 1-39
In this article, we study Euler characteristic techniques in topological data analysis. Pointwise computing the Euler characteristic of a family of simplicial complexes built from data gives rise to the so-called Euler characteristic profile. We show
Externí odkaz:
http://arxiv.org/abs/2303.14040
Autor:
Lebovici, Vadim
Publikováno v:
Foundations of Computational Mathematics 2022
We introduce a general definition of hybrid transforms for constructible functions. These are integral transforms combining Lebesgue integration and Euler calculus. Lebesgue integration gives access to well-studied kernels and to regularity results,
Externí odkaz:
http://arxiv.org/abs/2111.07829
Autor:
Miriam Santoro, Vladislav Zybin, Camelia Alexandra Coada, Giulia Mantovani, Giulia Paolani, Marco Di Stanislao, Cecilia Modolon, Stella Di Costanzo, Andrei Lebovici, Gloria Ravegnini, Antonio De Leo, Marco Tesei, Pietro Pasquini, Luigi Lovato, Alessio Giuseppe Morganti, Maria Abbondanza Pantaleo, Pierandrea De Iaco, Lidia Strigari, Anna Myriam Perrone
Publikováno v:
Cancers, Vol 16, Iss 8, p 1570 (2024)
Background: The accurate discrimination of uterine leiomyosarcomas and leiomyomas in a pre-operative setting remains a current challenge. To date, the diagnosis is made by a pathologist on the excised tumor. The aim of this study was to develop a mac
Externí odkaz:
https://doaj.org/article/f98183bac6774945addeb3479cd2f6e5
We investigate the existence of sufficient local conditions under which poset representations decompose as direct sums of indecomposables from a given class. In our work, the indexing poset is the product of two totally ordered sets, corresponding to
Externí odkaz:
http://arxiv.org/abs/2008.02345
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
Externí odkaz:
http://arxiv.org/abs/2002.08894
Publikováno v:
Images Re-Vues, Vol 20 (2023)
In July 2022, in the library of the Centre d'histoire et Théorie de l'Art, the journal’s team discussed the intellectual history of the laboratories that founded it (CEHTA, LAS, GAHOM-ALHOMA, ANHIMA). Giorgio Fichera, Clémentine Girault and Clovi
Externí odkaz:
https://doaj.org/article/2d7b37dff3334e32b346014fdf4156f1
Autor:
Lebovici, Vadim
Publikováno v:
Inverse Problems 2019
We show that on a two-dimensional compact nontrapping Riemannian manifold with strictly convex boundary, a piecewise constant function can be recovered from its integrals over geodesics. We adapt the injectivity proof which uses variations through ge
Externí odkaz:
http://arxiv.org/abs/1901.01909
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