Networks of genetic expression can be modelled by hypergraphs with the additional structure that real coefficients are given to each vertex-edge incidence. The spectra, i.e. the multiset of the eigenvalues, of such hypergraphs, are known to encode structural information of the data. We show how these spectra can be used, in particular, in order to give an estimation of cellular redundancy, a novel measure of gene expression heterogeneity, of the network. We analyze some simulated and real data sets of gene expression for illustrating the new method proposed here.

中文翻译：

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估计基因表达网络中的细胞冗余

遗传表达网络可以通过超图建模，并具有附加结构，即为每个顶点-边缘关联度赋予实系数。这种超图的谱，即特征值的多重集，已知用于编码数据的结构信息。我们展示了如何使用这些光谱，特别是为了估计网络的细胞冗余，这是一种新的基因表达异质性测量方法。我们分析了一些模拟和真实的基因表达数据集，以说明这里提出的新方法。