论文标题

关于Grothendieck Norm的评论

Remarks on the Grothendieck norm

论文作者

Sinclair, Thomas, Vivek, Naveen

论文摘要

简短说明的目的是指出围绕Grothendieck Norm和Semidefinite编程的三个观察结果。首先是,格伦迪克规范捕捉了与概率相关的真实,对称矩阵的偏离条目的困难Grothendieck Norm。

The goal of this short note is to point out three observations around the Grothendieck norm and semidefinite programming. The first is that the Grothendieck norm captures the difficulty of relating the off-diagonal entries of a real, symmetric matrix to a probabilistic correlation, the second is that there is an interesting ``Fourier''-type duality between the Schur and Grothendieck norms of a real matrix, and the third and last centers around the difficulty of finding an efficiently computable noncommutative analog to the Grothendieck norm.

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