In this note, we consider ensembles of random symmetric matrices with Gaussian elements. Assume that EX_(ij) = 0 and EX_(ij)~2 = σ_(ij)~2 . We do not assume that all the σ_(ij)~2 are equal. Assuming that the average of the normalized sums of variances in each row converges ...
aGaussian adds a random number to each vector entry of an individual. This random number is taken from a Gaussian distribution centered on zero. The variance of this distribution can be controlled with two parameters. The Scale parameter determines the variance at the first generation. The Shrink...
Gaussian random entries [36]. Analogously to the previous case, this implies that approximating SMBCS with input photons of random colors is at least as classically hard as approximate AABS and MBCS [36]. Again, this computational hardness is intimately connected with the N-photon interference ...
摘要原文 Abstract The probability of small deviations of the determinant of the matrix A A T is estimated, where A is an n ×∞ random matrix with centered entries having the joint Gaussian distribution. The inequality obtained is sharp in a sense. ...
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Thorbjornsen, Random matrices with complex Gaussian entries, Exposi- tiones Mathematicae 21 (2003), no. 4, 293-337.Haagerup U., Thorbjorsen S.: Random matrices with complex Gaussian entries. Expositiones Mathematicae 21 (2003), 293-337.
Let X and Y be two independent L x 1 complex Gaussian random vectors distributed as CN (m×, σ2× IL) and CN (mY, σY2 IL), respectively, where I_L denotes the L x L identity matrix. The joint characteristic function (c.f.) of the real and imaginary parts of the inner produc...
(ii) The eigenvalues locally converge to the point process given by the Gaussian orthogonal ensemble at any fixed energy. (iii) All eigenvectors are delocalized, meaning their ${m L}^\\infty$ norms are all simultaneously bounded by $N^{-\\frac{1}{2}+\\varepsilon}$ (after normalization ...
1.16 applies also in the setting of bounded or gaussian entries. 1.6 organization of the paper in sect. 2 we gather various preliminary results we shall use in the sequel. section 3 contains the proofs of the main results valid for all p , q (i.e., theorem 1.3 and its ...
摘要: Random matrices whose entries come from a stationa 关键词:Random matrix long range dependence stationary Gaussian process spectral density 年份: 2016 收藏 引用 批量引用 报错 分享 全部来源 免费下载 求助全文 arXiv.org (全网免费下载) arXiv.org (全网免费下载) ResearchGate (全网免费下载) ...