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Kernel PCA with the Nyström method [PDF]
Kernel methods are powerful but computationally demanding techniques for non-linear learning. A popular remedy, the Nyström method has been shown to be able to scale up kernel methods to very large datasets with little loss in accuracy.
Hallgren, F
core
Clustering on graphs (networks) is becoming intractable due to increasing sizes. Nyström spectral graph clustering (NSC) is a popular method to circumvent the problem.
Jingzhi Tu +2 more
doaj +1 more source
In this work, a new pair of diagonally implicit Runge–Kutta–Nyström methods with four stages is constructed. The proposed method has been derived to solve initial value problems of special second-order ordinary-differential equations. The principal local
Musa Ahmed Demba +3 more
doaj +1 more source
Features of the Nyström method for the Sherman-Lauricella equation on Piecewise Smooth Contours [Elektronisk resurs] [PDF]
The stability of the Nyström method for the Sherman-Lauricella equation on contours with corner points $c_j$, $j=0,1,...,m$ relies on the invertibility of certain operators $A_{c_j}$ belonging to an algebra of Toeplitz operators.
Helsing, Johan, +2 more
core +2 more sources
Super Runge-Kutta- Nyström (SRKN) method for direct solution of general third order ordinary differential equations (ODEs) is an extension of the Runge-Kutta- Nyström (RKN) for solution of second ODEs.This paper describe and implement by means of a ...
Zamurat A. Adegboye +2 more
doaj
Riemannian kernel based Nyström method for approximate infinite-dimensional covariance descriptors with application to image set classification [PDF]
In the domain of pattern recognition, using the CovDs (Covariance Descriptors) to represent data and taking the metrics of the resulting Riemannian manifold into account have been widely adopted for the task of image set classification.
Kaixuan Chen +3 more
semanticscholar +1 more source
Superconvergent Nyström and Degenerate Kernel Methods for Integro-Differential Equations
The aim of this paper is to carry out an improved analysis of the convergence of the Nyström and degenerate kernel methods and their superconvergent versions for the numerical solution of a class of linear Fredholm integro-differential equations of the ...
Abdelmonaim Saou +3 more
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A fourth order phase-fitted Runge-Kutta-Nyström method for oscillatory problems [PDF]
In this paper, a new Runge-Kutta-Nyström (RKN) method of fourth algebraic order is constructed. The new method is based on Dormand's Runge-Kutta-Nyström method of algebraic order four, by using the idea of phase-lag of order infinity, a new method for ...
Senu, Norazak +3 more
core +1 more source
Semi Implicit Hybrid Methods with Higher Order Dispersion for Solving Oscillatory Problems
We constructed three two-step semi-implicit hybrid methods (SIHMs) for solving oscillatory second order ordinary differential equations (ODEs). The first two methods are three-stage fourth-order and three-stage fifth-order with dispersion order six and ...
S. Z. Ahmad +3 more
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In this paper, we introduce the nonlinear Fredholm integro-differential equation of the second kind with singular kernel in two-dimensional NT-DFIDE. Furthermore, we study this new equation numerically.
Abeer M. Al-Bugami
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