247 citations · 609 across the 27 of their papers we have counts for
3 papers · 1 filter
Topology of tensor ranks
Pierre Comon, Lek-Heng Lim, Yang Qi +1
We study path-connectedness and homotopy groups of sets of tensors defined by tensor rank, border rank, multilinear rank, as well as their symmetric counterparts for symmetric tens…
General Tensor Decomposition, Moment Matrices and Applications
Alessandra Bernardi, Jerome Brachat, Pierre Comon +1
The tensor decomposition addressed in this paper may be seen as a generalisation of Singular Value Decomposition of matrices. We consider general multilinear and multihomogeneous t…
On the typical rank of real binary forms
Pierre Comon, Giorgio Ottaviani
We determine the rank of a general real binary form of degree d=4 and d=5. In the case d=5, the possible values of the rank of such general forms are 3,4,5. The existence of three…