10 citations · 21 across the 16 of their papers we have counts for
3 papers · 1 filter
Eigenschemes of Ternary Tensors
Valentina Beorchia, Francesco Galuppi, Lorenzo Venturello
We study projective schemes arising from eigenvectors of tensors, called eigenschemes. After some general results, we give a birational description of the variety parametrizing eig…
Minimality of tensors of fixed multilinear rank
Alexander Heaton, Khazhgali Kozhasov, Lorenzo Venturello
We discover a geometric property of the space of tensors of fixed multilinear (Tucker) rank. Namely, it is shown that real tensors of fixed multilinear rank form a minimal submanif…
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…