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We investigate the dynamics of matter-wave solitons in the presence of a spatially varying atomic scattering length and nonlinearity. The dynamics of bright and dark solitary waves is studied using th...
Singular Vector Perturbation under Gaussian Noise     Singular Vector Perturbation  Gaussian Noise       font style='font-size:12px;'> 2012/9/18
We study the following problem: when a low rank matrix is perturbed by Gaus-sian noise, what is the distribution of the induced (by singular value decompostion) perturbation on its singular vectors? I...
In this paper we study how perturbing a matrix changes its non-negative rank. We show that the non-negative rank is upper-semicontinuos and we describe some special families of perturbations. We apply...
Singular Spectrum Analysis and many other subspace-based methods of signal processing are implicitly relying on the assumption of close prox- imity of unperturbed and perturbed signal subspaces extr...
Any unperturbed and perturbed posterior density can formally be linked by a mixture. Many divergences between the unperturbed and perturbed posterior density-global measures of inuenceof the perturb...
We use stochastic analysis to study the random motion of a rigid body under a white noise perturbation. We obtain a formula for the angular velocity in an average sense and discuss the stability near ...
Principal component analysis (PCA) is a standard tool for dimensional reduction of a set of n observations (samples), each with p variables. In this paper, using a matrix perturbation approach, we ...

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