论文标题

用少量编码以几种线性形式的稀疏性优化多项式

Optimization of Polynomials with Sparsity Encoded in a Few Linear Forms

论文作者

Lasserre, Jean-Bernard

论文摘要

我们考虑了几种线性形式的多项式,并显示如何利用这种类型的稀疏性来优化某些特定领域(例如欧几里得球体或多层)。此外,一个简单的过程允许检测这种形式的稀疏性,还可以通过这种稀疏的多项式提供任何多项式的近似值。

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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