1 citations · 2 across the 3 of their papers we have counts for
11 papers
Voronoi diagrams of algebraic varieties under polyhedral norms
Adrian Becedas, Kathlén Kohn, Lorenzo Venturello
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…
On flag spheres with few equators
Lorenzo Venturello
In this note we construct a flag simplicial -sphere with the following properties: - is not a suspension; - has no edge that can be contracted to obtain another flag…
The leading coefficient of Lascoux polynomials
Alessio Borzí, Xiangying Chen, Harshit J. Motwani +2
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 Las…
Wasserstein Distance to Independence Models
Türkü Özlüm Çelik, Asgar Jamneshan, Guido Montúfar +2
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 Wa…
A new family of triangulations of
Lorenzo Venturello, Hailun Zheng
We construct a family of PL triangulations of the -dimensional real projective space on vertices for every . This impr…
Optimal Transport to a Variety
T. Ö. Çelik, A. Jamneshan, G. Montúfar +2
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…