Triggered by a controversy surrounding universal behavior of the power spectrum in quantum systems exhibiting regular classical dynamics, we focus on model random diagonal matrices (RDM), often associated with Poisson spectral universality class, and examine how form factor get affected two-sided truncations RDM spectra. Having developed nonperturbative description both statistics, perform thei...

Existing block-diagonal representation studies mainly focuses on casting block-diagonal regularization on training data, while only little attention is dedicated to concurrently learning both block-diagonal representations of training and test data. In this paper, we propose a discriminative block-diagonal low-rank representation (BDLRR) method for recognition. In particular, the elaborate BDLR...

For an n-by-n complex matrix A in a block form with the (possibly) nonzero blocks only on the diagonal above the main one, we consider two other matrices whose nonzero entries are along the diagonal above the main one and consist of the norms or minimum moduli of the diagonal blocks of A. In this paper, we obtain two inequalities relating the numeical radii of these matrices and also determine ...

alzheimer’s disease (ad) is a uniquely human disorder. although the pathogenesis of ad is not fully understood, growing evidence indicates that the deposition of beta-amyloid (aβ) and the local reactions of various cell types to this protein play major roles in the development of the disease. in the present study transgenic mice expressing mutant amyloid precursor protein (app) has been used. t...

The motor rehabilitation is based on exercises that involve various joints and muscle groups. One such treatment method is Proprioceptive Neuromuscular Facilitation (PNF), which involves diagonal movements simulating many activities of daily living. The objective of this study was to investigate the differences between PNF and shoulder flexion movements performed without the diagonal component ...

SUPPLEMENTARY FIGURE S1 ROC plots illustrating the Wormnet-based prediction of RNAi phenotypes. For each known phenotype, we analyzed the ability to predict genes conferring the phenotype using leave-one-out analysis. Every gene in the Wormnet was first rank-ordered by the sum of its LLS scores to all other genes with the given RNAi phenotype; we then measured the recovery of genes with the giv...

In some applications the covariance matrix of the observations is not only symmetric with respect to its main diagonal but also with respect to the anti-diagonal. The standard forward-only sample covariance estimate does not impose this extra symmetry. In such cases one often uses the so-called forward-backward sample covariance estimate. In this paper, a direct comparative study of the relativ...

A MacMahon symmetric function is a formal power series in a finite number of alphabets that is invariant under the diagonal action of the symmetric group. In this article, we show that the MacMahon symmetric functions are the generating functions for the orbits of sets of functions indexed by partitions under the diagonal action of a Young subgroup of a symmetric group. We define a MacMahon chr...

This paper presents an optimal solution for amplify-and-forward (AF) single-input multiple-output (SIMO) and multiple-input single-output (MISO) wireless distributed relay networks. The optimal solutions are determined based on minimum mean square error (MMSE) criterion for optimum nondiagonal and diagonal relay amplifying matrices under the transmit power constraints at the relays. The bit err...