3 problems
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Sparse relaxation order conjecture for finite convergence
Let a polynomial optimization problem have a sparse moment relaxation and the corresponding dense moment relaxation, with relaxation order measured by the parameter in the respecti…
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Ambiguity of moment relaxations with few measurements
Let denote the number of measurements in the estimation problem, and consider the dense and sparse moment relaxations. Ambiguity conjecture. When is small, the estimation p…
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Higher-order moment constraints for general OPF cost functions
In an optimal power flow problem, consider more general cost functions than active power loss minimization and moment relaxations with moment constraints imposed at buses. Computat…