38 citations · 41 across the 4 of their papers we have counts for
5 papers
Monodromy Solver: Sequential and Parallel
Nathan Bliss, Timothy Duff, Anton Leykin +1
We describe, study, and experiment with an algorithm for finding all solutions of systems of polynomial equations using homotopy continuation and monodromy. This algorithm follows…
The Maximum Likelihood Degree of Toric Varieties
Carlos Améndola, Nathan Bliss, Isaac Burke +6
We study the maximum likelihood degree (ML degree) of toric varieties, known as discrete exponential models in statistics. By introducing scaling coefficients to the monomial param…
The Method of Gauss-Newton to Compute Power Series Solutions of Polynomial Homotopies
Nathan Bliss, Jan Verschelde
We consider the extension of the method of Gauss-Newton from complex floating-point arithmetic to the field of truncated power series with complex floating-point coefficients. With…
Computing all Space Curve Solutions of Polynomial Systems by Polyhedral Methods
Nathan Bliss, Jan Verschelde
A polyhedral method to solve a system of polynomial equations exploits its sparse structure via the Newton polytopes of the polynomials. We propose a hybrid symbolic-numeric method…
Solving Polynomial Systems in the Cloud with Polynomial Homotopy Continuation
Nathan Bliss, Jeff Sommars, Jan Verschelde +1
Polynomial systems occur in many fields of science and engineering. Polynomial homotopy continuation methods apply symbolic-numeric algorithms to solve polynomial systems. We descr…