Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Lorenzo Venturello"'
Publikováno v:
Kathlén Kohn
We study Voronoi diagrams of manifolds and varieties with respect to polyhedral norms. We provide upper and lower bounds on the dimensions of Voronoi cells. For algebraic varieties, we count their full-dimensional Voronoi cells. As an application, we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6b3c8698032e905873b56ece4f57a14
http://arxiv.org/abs/2209.11463
http://arxiv.org/abs/2209.11463
Autor:
Lorenzo Venturello, Hailun Zheng
Publikováno v:
Combinatorica. 41:127-146
We construct a family of PL triangulations of the d-dimensional real projective space ℝPd on $$\Theta \left( {{{\left( {\tfrac{{1 + \sqrt 5 }}{2}} \right)}^{d + 1}}} \right)$$ vertices for every $$d \geqslant 1$$ . This improves a construction due
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1a26fa414400dd0a8ade9924112e64e1
https://doi.org/10.1007/s00493-020-4351-2
https://doi.org/10.1007/s00493-020-4351-2
Publikováno v:
Linear and Multilinear Algebra, 71(3), 317-347. Taylor and Francis Ltd.
One way to study a hypergraph is to attach to it a tensor. Tensors are a generalization of matrices, and they are an efficient way to encode information in a compact form. In this paper, we study how properties of weighted hypergraphs are reflected o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be72894111a9c4f94ceb3763e55eb32d
https://eprints.soton.ac.uk/450165/
https://eprints.soton.ac.uk/450165/
Lascoux polynomials have been recently introduced to prove polynomiality of the maximum-likelihood degree of linear concentration models. We find the leading coefficient of the Lascoux polynomials (type C) and their generalizations to the case of gen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19e5b057474d4151049d99437153dc55
We prove upper bounds for the graded Betti numbers of Stanley-Reisner rings of balanced simplicial complexes. Along the way we show bounds for Cohen-Macaulay graded rings $S/I$, where $S$ is a polynomial ring and $I\subseteq S$ is an homogeneous idea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::47f71270a5139410274c20910b14986d
http://hdl.handle.net/11568/1153301
http://hdl.handle.net/11568/1153301
Autor:
Anna-Laura Sattelberger, Türkü Özlüm Çelik, Lorenzo Venturello, Timothy Duff, Alexander Heaton, Aida Maraj, Oğuzhan Yürük, Paul Breiding
We showcase applications of nonlinear algebra in the sciences and engineering. Our review is organized into eight themes: polynomial optimization, partial differential equations, algebraic statistics, integrable systems, configuration spaces of frame
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::73d3a11aed23a78a676f9f439dee0cec
Publikováno v:
Journal of Symbolic Computation
An independence model for discrete random variables is a Segre-Veronese variety in a probability simplex. Any metric on the set of joint states of the random variables induces a Wasserstein metric on the probability simplex. The unit ball of this pol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8831f8a4e7d9508587e8bc05960a0bf1
We study projective schemes arising from eigenvectors of tensors, called eigenschemes. After some general results, we give a birational description of the variety parametrizing eigenschemes of general ternary symmetric tensors and we compute its dime
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34998ac36c9a68bb2104dbc8bf35ae1f
http://arxiv.org/abs/2007.12789
http://arxiv.org/abs/2007.12789
Publikováno v:
Mathematical Aspects of Computer and Information Sciences-8th International Conference, MACIS 2019, Gebze, Turkey, November 13–15, 2019, Revised Selected Papers
Mathematical Aspects of Computer and Information Sciences ISBN: 9783030431198
MACIS
Lecture Notes in Computer Science
Lecture Notes in Computer Science-Mathematical Aspects of Computer and Information Sciences
Mathematical Aspects of Computer and Information Sciences ISBN: 9783030431198
MACIS
Lecture Notes in Computer Science
Lecture Notes in Computer Science-Mathematical Aspects of Computer and Information Sciences
We study the problem of minimizing the Wasserstein distance between a probability distribution and an algebraic variety. We consider the setting of finite state spaces and describe the solution depending on the choice of the ground metric and the giv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::30964a9511378ac58ab5278a04455d03
Autor:
Lorenzo Venturello
Publikováno v:
Scopus-Elsevier
Università di Pisa-IRIS
Università di Pisa-IRIS
A $d$-dimensional simplicial complex is balanced if the underlying graph is $(d+1)$-colorable. We present an implementation of cross-flips, a set of local moves introduced by Izmestiev, Klee and Novik which connect any two PL-homeomorphic balanced co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::92a7f12f7637ca8481bc1746de6a4463
https://doi.org/10.37236/8394
https://doi.org/10.37236/8394