论文标题

在Paley基质的限制等轴测特性上

On the restricted isometry property of the Paley matrix

论文作者

Satake, Shohei

论文摘要

在本文中,我们证明了Paley图的猜想意味着Paley矩阵具有限制的等轴测特性(RIP),以稀疏水平击败方形 - 根瓶颈。此外,我们表明,Paley Matrix的撕裂意味着在Paley Tournament中及时的次要亚顾问大小的改进。

In this paper, we prove that the Paley graph conjecture implies that the Paley matrix has restricted isometry property (RIP) beating the square-root bottleneck for the sparsity level. Moreover, we show that the RIP of the Paley matrix implies an improved bound on the size of transitive subtournaments in the Paley tournament.

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