2 citations · 2 across the 10 of their papers we have counts for
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Sparse Polynomial Optimization with Matrix Constraints
Jiawang Nie, Zheng Qu, Xindong Tang +1
This paper studies the hierarchy of sparse matrix Moment-SOS relaxations for solving sparse polynomial optimization problems with matrix constraints. First, we prove a sufficient a…
A Characterization for Tightness of the Sparse Moment-SOS Hierarchy
Jiawang Nie, Zheng Qu, Xindong Tang +1
This paper studies the sparse Moment-SOS hierarchy of relaxations for solving sparse polynomial optimization problems. We show that this sparse hierarchy is tight if and only if th…
Polynomial Optimization Over Unions of Sets
Jiawang Nie, Linghao Zhang
This paper studies the polynomial optimization problem whose feasible set is a union of several basic closed semialgebraic sets. We propose a unified hierarchy of Moment-SOS relaxa…
Moment-SOS relaxations for moment and tensor recovery problems
Lei Huang, Jiawang Nie, Jiajia Wang
This paper studies moment and tensor recovery problems whose decomposing vectors are contained in some given semialgebraic sets. We propose Moment-SOS relaxations with generic obje…
Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization
Lei Huang, Jiawang Nie
This paper studies the matrix Moment-SOS hierarchy for solving polynomial matrix optimization. Our first result is to show the finite convergence of this hierarchy, if the nondegen…