79 citations · 407 across the 53 of their papers we have counts for
3 papers · 1 filter
Machine learning the real discriminant locus
Edgar A. Bernal, Jonathan D. Hauenstein, Dhagash Mehta +2
Parameterized systems of polynomial equations arise in many applications in science and engineering with the real solutions describing, for example, equilibria of a dynamical syste…
Using monodromy to statistically estimate the number of solutions
Jonathan D. Hauenstein, Samantha N. Sherman
Synthesis problems for linkages in kinematics often yield large structured parameterized polynomial systems which generically have far fewer solutions than traditional upper bounds…
Smooth Points on Semi-algebraic Sets
Katherine Harris, Jonathan D. Hauenstein, Agnes Szanto
Many algorithms for determining properties of real algebraic or semi-algebraic sets rely upon the ability to compute smooth points. Existing methods to compute smooth points on sem…