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2024

Sparse Polynomial Optimization with Unbounded Sets

Huang, Lei, Kang, Shucheng, Wang, Jie et al.

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This paper considers sparse polynomial optimization with unbounded sets.

When the problem possesses correlative sparsity, we propose a sparse homogenized Moment-SOS hierarchy with perturbations to solve it.
The new hierarchy introduces one extra auxiliary variable for each variable clique according to the correlative sparsity pattern.
Under the running intersection property, we prove that this hierarchy has asymptotic convergence.

Sparse Polynomial Optimization with Unbounded Sets · Around

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M. Putinar
1993
Earlier work this paper cites.
J. T. Betts
1998
Earlier work this paper cites.
M. Putinar and F. Vasilescu
1999
Earlier work this paper cites.
M. Putinar and F. Vasilescu
1999
Earlier work this paper cites.
E. Andersen and K. Andersen
2000
Earlier work this paper cites.
B. Reznick
2000
Earlier work this paper cites.
J. Lasserre
2001
Earlier work this paper cites.
J. Guckenheimer, K. Hoffman, and W. Weckesser
2003
Earlier work this paper cites.
R. Curto and L. Fialkow
2005
Earlier work this paper cites.
D. Henrion and J.-B. Lasserre
2005
Earlier work this paper cites.
J. Lasserre
2006
Earlier work this paper cites.
M. Schweighofer
2006
Earlier work this paper cites.
H. Waki, S. Kim, M. Kojima, and M. Muramatsu
2006
Earlier work this paper cites.
D. Grimm, T. Netzer, and M. Schweighofer
2007
Earlier work this paper cites.
M. Laurent
2007
Earlier work this paper cites.

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Accepted for publication
N. Mai and V. Magron · 2022
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2022
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