373 citations · 422 across the 24 of their papers we have counts for
3 papers · 1 filter
Maximum likelihood degree of variance component models
Elizabeth Gross, Mathias Drton, Sonja Petrović
Most statistical software packages implement numerical strategies for computation of maximum likelihood estimates in random effects models. Little is known, however, about the alge…
PHCpack in Macaulay2
Elizabeth Gross, Sonja Petrović, Jan Verschelde
The Macaulay2 package PHCpack.m2 provides an interface to PHCpack, a general-purpose polynomial system solver that uses homotopy continuation. The main method is a numerical blackb…
A proof of the set-theoretic version of the salmon conjecture
Shmuel Friedland, Elizabeth Gross
We show that the irreducible variety of 4 x 4 x 4 complex valued tensors of border rank at most 4 is the zero set of polynomial equations of degree 5 (the Strassen commutative cond…