Abstract: Many learning algorithms, such as spectral clustering and manifold learning, need to estimate eigenvalues of graph Laplacian operators defined by a similarity function or a kernel on ...

The order of approximation is 1/n. The Journal of Computational Mathematics is published bi-monthly. It is an international journal covering all branches of modern computational mathematics such as ...

In recent years, a variety of randomized constructions of sketching matrices have been devised, that have been used in fast algorithms for numerical linear algebra problems, such as least squares ...

Precise Integral in NeRFs: Overcoming the Approximation Errors of Numerical Quadrature Boyuan Zhang 1, Zhenliang He 1, Meina Kan 1,2, Shiguang Shan 1,2 1 Key Lab of AI Safety, Institute of Computing ...

Numerical schemes that we taken into consider first order schemes and figher oder schemes, in particular Newton's method, Euler's method, and Runge-Kutta method at level four. We first addressed the ...

Y. Saad, Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator, SIAM Journal on Numerical Analysis, Vol. 29, No. 1 (Feb., 1992), pp. 209-228 ...