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math.OC2022
A Faster Interior-Point Method for Sum-of-Squares Optimization
Shunhua Jiang, Bento Natura, Omri Weinstein
We present a faster interior-point method for optimizing sum-of-squares (SOS) polynomials, which are a central tool in polynomial optimization and capture convex programming in the…
math.OC2021
Solving SDP Faster: A Robust IPM Framework and Efficient Implementation
Baihe Huang, Shunhua Jiang, Zhao Song +2
This paper introduces a new robust interior point method analysis for semidefinite programming (SDP). This new robust analysis can be combined with either logarithmic barrier or hy…