282 citations · 1k across the 43 of their papers we have counts for
6 papers · 1 filter
Sparse SOS Relaxations for Minimizing Functions that are Summations of Small Polynomials
Jiawang Nie, James Demmel
This paper discusses how to find the global minimum of functions that are summations of small polynomials (``small'' means involving a small number of variables). Some sparse sum o…
Global Minimization of Rational Functions and the Nearest GCDs
Jiawang Nie, James Demmel, Ming Gu
This paper has been withdrawn by the authors due to its publication
Minimizing Polynomials Over Semialgebraic Sets
Jiawang Nie, James W. Demmel, Victoria Powers
This paper concerns a method for finding the minimum of a polynomial on a semialgebraic set, i.e., a set in $\re^m$ defined by finitely many polynomial equations and inequalities,…
Minimizing Polynomials via Sum of Squares over the Gradient Ideal
Jiawang Nie, James W. Demmel, Bernd Sturmfels
This paper has been withdrawn by the authors due to its publication
Shape Optimization of Transfer Functions
Jiawang Nie, James W. Demmel
This paper has been withdrawn due to its publication
Minimum Ellipsoid Bounds for Solutions of Polynomial Systems via Sum of Squares
Jiawang Nie, James W. Demmel
This paper has been withdrawn by the authors due to its publication