1 citations · 1 across the 6 of their papers we have counts for
8 papers
Geometric and homological interpretations of tensor flattenings
Matěj Doležálek, Jakub Jagiełła, Piotr Oszer +2
We relate several nonlinear flattenings of structure tensors of finite algebras and modules to their algebraic and homological invariants. Since smoothability of algebras is equiva…
Minimality of Tree Tensor Network Ranks
Jana Jovcheva, Tim Seynnaeve, Nick Vannieuwenhoven
For a given tree tensor network , we call a tuple of bond dimensions minimal if there exists a tensor that can be represented by this network but not on the same tree topolo…
Topological Noetherianity of the infinite half-spin representations
Christopher Chiu, Jan Draisma, Rob Eggermont +2
We prove that the infinite half-spin representations are topologically Noetherian with respect to the infinite spin group. As a consequence we obtain that half-spin varieties, whic…
Decomposing Tensor Spaces via Path Signatures
Carlos Améndola, Francesco Galuppi, Ángel David Ríos Ortiz +2
The signature of a path is a sequence of tensors whose entries are iterated integrals, playing a key role in stochastic analysis and applications. The set of all signature tensors…
One-quasihomomorphisms from the integers into symmetric matrices
Tim Seynnaeve, Nafie Tairi, Alejandro Vargas
A function from to the symmetric matrices over an arbitrary field of characteristic is a -quasihomomorphism if the matrix has ran…
On the quadratic equations for odeco tensors
Benjamin Biaggi, Jan Draisma, Tim Seynnaeve
Elina Robeva discovered quadratic equations satisfied by orthogonally decomposable ("odeco") tensors. Boralevi-Draisma-Horobeţ-Robeva then proved that, over the real numbers, these…
Quasihomomorphisms from the integers into Hamming metrics
Jan Draisma, Rob H. Eggermont, Tim Seynnaeve +2
A function is a -quasihomomorphism if the Hamming distance between and is at most for all . We show…
Universal equations for maximal isotropic Grassmannians
Tim Seynnaeve, Nafie Tairi
The isotropic Grassmannian parametrizes isotropic subspaces of a vector space equipped with a quadratic form. In this paper, we show that any maximal isotropic Grassmannian in its…