In this work, we introduce a centrality metric called DomiRank centrality. Intuitively, it quantifies the degree of dominance of nodes in their respective neighborhoods. Thus, high scores of DomiRank centrality
Here we discuss the low rank approximation of a special class of higher-order tensors, further called function-related tensors (FRTs), obtained by sampling the multi-variate function over tensor grid in Rd. They directly arise from: (a) A separable approximation of multi-variate functions; (...
The tensor average-rank4 of X, denoted as ranka(X), is defined as (2.22)ranka(X)=1n3∑k=1n3rank(Xˆ(i)). According to the definitions of the three tensor ranks, given a third-order tensor X, its three tensor ranks are related by [24] (2.23)ranka(X)⩽max(rankm(X))=...
In this work, we present an efficient rank-compression approach for the classical simulation of Kraus decoherence channels in noisy quantum circuits. The approximation is achieved through iterative compression of the density matrix based on its leading e
While the use of rank-invariant transcripts has been described previously, we have added to this concept by the creation of a global rank-invariant set of transcripts used to generate a robust average reference that is used to normalize all samples within a dataset. The global rank-invariant ...
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While the use of rank-invariant transcripts has been described previously, we have added to this concept by the creation of a global rank-invariant set of transcripts used to generate a robust average reference that is used to normalize all samples within a dataset. The global rank-invariant ...
Arguably, the most important of these issues is that in a typical gene an- notation database, many gene sets overlap as a result of genes playing a role in different pathways and processes. Table 1 shows the average fraction of intersecting gene set pairs in several commonly used pathway ...
Density theoremPrime distributionLet q be an odd prime power and let A=Fq[T], k=Fq(T). Let ψ be a Drinfeld A-module over k, of rank 2 and with a non-trivial endomorphism ring. We prove an average effective Chebotarev Density Theorem for the primes splitting completely in the ...
It then ranks the remaining nonzero values, say there are n of them, in increasing order of their absolute values. The test statistic is equal to the sum of the rankings of the negative data values. If the value of the test statistic TS is equal to t, then the p value is pvalue=...