Results 11 to 20 of about 6,501 (223)
Application of Nyström method to a Fredholm integral equation describing induction heating
EPJ Web of Conferences, 2015 An induction heating problem can be described by a Fredholm Integral Equation of the second kind. The equation is used to compute the eddy current of density. One method for solving such an equation is the Nyström method. It is based on the approximation
Rak Josef
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An adaptive optimized Nyström method for second‐order IVPs [PDF]
Mathematical methods in the applied sciences, 2022 [EN]This research work deals with the development, analysis, and implementation of an adaptive optimized one-step Nyström method for solving second-order initial value problems of ODEs and time-dependent partial differential equations.
Mufutau Ajani Rufai +5 more
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Solving linear Fredholm integro-differential equation by Nyström method
Journal of Applied Mathematics and Computational Mechanics, 2021 The study of the solution’s existence and uniqueness for the linear integro-differential Fredholm equation and the application of the Nyström method to approximate the solution is what we will present in this paper.
Boutheina Tair +3 more
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Nystrom Method for Accurate and Scalable Implicit Differentiation [PDF]
International Conference on Artificial Intelligence and Statistics, 2023 The essential difficulty of gradient-based bilevel optimization using implicit differentiation is to estimate the inverse Hessian vector product with respect to neural network parameters.
Ryuichiro Hataya, M. Yamada
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Nonlinear SVD with Asymmetric Kernels: feature learning and asymmetric Nyström method [PDF]
arXiv.org, 2023 Asymmetric data naturally exist in real life, such as directed graphs. Different from the common kernel methods requiring Mercer kernels, this paper tackles the asymmetric kernel-based learning problem.
Qinghua Tao +3 more
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Applied Numerical Mathematics, 2022 Nyström method is a standard numerical technique to solve Fredholm integral equations of the second kind where the integration of the kernel is approximated using a quadrature formula.
D. Barrera +3 more
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Analysis of a Monte-Carlo Nystrom Method
SIAM Journal on Numerical Analysis, 2022 . This paper considers a Monte-Carlo Nystrom method for solving integral equa- 3 tions of the second kind, whereby the values ( z ( y i )) 1 ≤ i ≤ N of the solution z at a set of N random 4 and independent points ( y i ) 1 ≤ i ≤ N are approximated by the
F. Feppon, H. Ammari
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Kernel Adaptive Filtering Prediction Algorithm of Chaotic Time Series [PDF]
Zhengzhou Daxue xuebao. Gongxue ban, 2023 In practical environment, chaotic time series often contain a lot of noise and outliers. Because of these interference factors, the prediction performance of the kernel adaptive filter based on the second-order similarity measure could decrease ...
LIU Qiang +3 more
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Combining Nyström Methods for a Fast Solution of Fredholm Integral Equations of the Second Kind
Mathematics, 2021 In this paper, we propose a suitable combination of two different Nyström methods, both using the zeros of the same sequence of Jacobi polynomials, in order to approximate the solution of Fredholm integral equations on [−1,1].
Domenico Mezzanotte +2 more
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Improved guarantees and a multiple-descent curve for Column Subset Selection and the Nystrom method
Neural Information Processing Systems, 2020 The Column Subset Selection Problem (CSSP) and the Nystrom method are among the leading tools for constructing interpretable low-rank approximations of large datasets by selecting a small but representative set of features or instances.
Michal Derezinski +2 more
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