research
∙
08/10/2023
Sullivant-Talaska ideal of the cyclic Gaussian Graphical Model
In this paper, we settle a conjecture due to Sturmfels and Uhler concern...
share
research
∙
08/30/2021
Algebraic compressed sensing
We introduce the broad subclass of algebraic compressed sensing problems...
research
∙
03/23/2021
Bounds on complexity of matrix multiplication away from CW tensors
We present three families of minimal border rank tensors: they come from...
research
∙
11/17/2020
Complete quadrics: Schubert calculus for Gaussian models and semidefinite programming
We establish connections between: the maximum likelihood degree (ML-degr...
research
∙
07/10/2020
Border rank non-additivity for higher order tensors
Whereas matrix rank is additive under direct sum, in 1981 Schönhage show...
research
∙
04/16/2020
Maximum likelihood degree and space of orbits of a C^* action
We study the maximum likelihood (ML) degree of linear concentration mode...
research
∙
12/26/2019
Towards finding hay in a haystack: explicit tensors of border rank greater than 2.02m in C^m⊗ C^m⊗ C^m
We write down an explicit sequence of tensors in C^m⊗ C^m⊗ C^m, for all ...
research
∙
07/02/2019
Best k-layer neural network approximations
We investigate the geometry of the empirical risk minimization problem f...
research
∙
06/12/2017