5 papers
Ranks and Symmetric Ranks of Cubic Surfaces
Anna Seigal
We study cubic surfaces as symmetric tensors of format . We consider the non-symmetric tensor rank and the symmetric Waring rank of cubic surfaces, and show th…
Duality of Graphical Models and Tensor Networks
Elina Robeva, Anna Seigal
In this article we show the duality between tensor networks and undirected graphical models with discrete variables. We study tensor networks on hypergraphs, which we call tensor h…
Mixtures and products in two graphical models
Anna Seigal, Guido Montufar
We compare two statistical models of three binary random variables. One is a mixture model and the other is a product of mixtures model called a restricted Boltzmann machine. Altho…
Singular Vectors of Orthogonally Decomposable Tensors
Elina Robeva, Anna Seigal
Orthogonal decomposition of tensors is a generalization of the singular value decomposition of matrices. In this paper, we study the spectral theory of orthogonally decomposable te…
Applied Algebra and Geometry: A SIAGA of Seven Pictures
Anna Seigal
The cover of the SIAM Journal on Applied Algebra and Geometry shows seven pictures. We describe these pictures and discuss the topics they represent. About the Author: Anna Seigal…