Optimization of Polynomials with Sparsity Encoded in a Few Linear Forms

Jean-Bernard Lasserre

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arXiv · 2204.01319

Optimization of Polynomials with Sparsity Encoded in a Few Linear Forms

Jean-Bernard Lasserre

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Abstract

We consider polynomials of a few linear forms and show how exploit this type of sparsity for optimization on some particular domains like the Euclidean sphere or a polytope. Moreover, a simple procedure allows to detect this form of sparsity and also allows to provide an approximation of any polynomial by such sparse polynomials.

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Jean-Bernard Lasserre. 2022-04-04. Optimization of Polynomials with Sparsity Encoded in a Few Linear Forms. https://arxiv.org/abs/2204.01319

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