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When performing dynamic analysis of a constrained mechanical system, a set of index three differential-algebraic equations (DAE) describes the time evolution of the system. A state–space based method for the numerical solution of the resulting DAE has also been developed. The numerical method uses a linearly implicit time stepping formula of the Rosenbrock type, which is suitable for medium acc...

Gotszche and Olsen2,3 focuses largely on three of the screening trials, and they conclude, like the International Agency for Research on Cancer (IARC) working group that reviewed all the trials,4 that mammography screening does save lives. I agree with their comments on the Health Insurance Plan (HIP) trial. I drew very similar conclusions when the first review of Gotszche and Olsen was publish...

When performing dynamic analysis of a constrained mechanical system, a set of index 3 Di erential-Algebraic Equations (DAE) describes the time evolution of the system. In the companion paper [4] we developed a state-space based method for the numerical solution of the resulting DAE. The numerical method uses a linearly-implicit time stepping formula of Rosenbrock type, which is suitable for med...

The fusion of multi-source data obtained by multimodal sensors has recently attracted attention. manifold learning method been applied to problems because its ability extract the underlying structure data, and a new developed called alternating diffusion maps. In practical application, some shortcomings this were discovered. Firstly, it is based on process, which more suitable for clustering ta...

We consider the scattering of H-polarized eigenwaves a planar dielectric waveguide by coplanar system graphene strips in THz range. The are placed along centreline waveguide. Our treatment is based on singular integral equations with Nystrom-type discretization algorithm. Dependences characteristics, near and far fields, studied. Frequency scanning radiation patterns presented. Maximum radiated...

The näıve Nyström extension forms a low-rank approximation to a positive-semidefinite matrix by uniformly randomly sampling from its columns. This paper provides the first relativeerror bound on the spectral norm error incurred in this process. This bound follows from a natural connection between the Nyström extension and the column subset selection problem. The main tool is a matrix Chernoff b...

This paper unifies the mathematical foundation of three multidimensional scaling algorithms: FastMap, MetricMap, and Landmark MDS (LMDS). All three algorithms are based on the Nyström approximation of the eigenvectors and eigenvalues of a matrix. LMDS is applies the basic Nyström approximation, while FastMap and MetricMap use generalizations of Nyström, including deflation and using more points...

Recently, the computer vision and machine learning community has been in favor of feature extraction pipelines that rely on a coding step followed by a linear classifier, due to their overall simplicity, well understood properties of linear classifiers, and their computational efficiency. In this paper we propose a novel view of this pipeline based on kernel methods and Nyström sampling. In par...

Symmetric positive semi-definite (SPSD) matrix approximation methods have been extensively used to speed up large-scale eigenvalue computation and kernel learning methods. The sketching based method, which we call the prototype model, produces relatively accurate approximations. The prototype model is computationally efficient on skinny matrices where one of the matrix dimensions is relatively ...