38 citations · 89 across the 29 of their papers we have counts for
39 papers
Euclidean Distance Degrees in Macaulay2
William Huang, Jose Israel Rodriguez
We introduce EuclideanDistanceDegree, a Macaulay2 package that implements symbolic and numerical methods for computing Euclidean Distance (ED) degrees. The package includes symboli…
Applications of singularity theory in applied algebraic geometry and algebraic statistics
Laurentiu Maxim, Jose Israel Rodriguez, Botong Wang
We survey recent applications of topology and singularity theory in the study of the algebraic complexity of concrete optimization problems in applied algebraic geometry and algebr…
Linear optimization on varieties and Chern-Mather classes
Laurentiu G. Maxim, Jose Israel Rodriguez, Botong Wang +1
The linear optimization degree gives an algebraic measure of complexity of optimizing a linear objective function over an algebraic model. Geometrically, it can be interpreted as t…
Implementing real polyhedral homotopy
Kisun Lee, Julia Lindberg, Jose Israel Rodriguez
We implement a real polyhedral homotopy method using three functions. The first function provides a certificate that our real polyhedral homotopy is applicable to a given system; t…
-generation: solving systems of polynomials equation-by-equation
Timothy Duff, Anton Leykin, Jose Israel Rodriguez
We develop a new method that improves the efficiency of equation-by-equation algorithms for solving polynomial systems. Our method is based on a novel geometric construction, and r…
Logarithmic cotangent bundles, Chern-Mather classes, and the Huh-Sturmfels Involution conjecture
Laurentiu G. Maxim, Jose Israel Rodriguez, Botong Wang +1
Using compactifications in the logarithmic cotangent bundle, we obtain a formula for the Chern classes of the pushforward of Lagrangian cycles under an open embedding with normal c…