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Reproducing kernel particle methods
International Journal for Numerical Methods in Fluids, 1995AbstractA new continuous reproducing kernel interpolation function which explores the attractive features of the flexible time‐frequency and space‐wave number localization of a window function is developed. This method is motivated by the theory of wavelets and also has the desirable attributes of the recently proposed smooth particle hydrodynamics ...
Wing Kam Liu, Sukky Jun, Yi Fei Zhang
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2003
In this survey article, we would like to show that the theory of reproducing kernels is fundamental, is beautiful and is applicable widely in mathematics. At the same time, we shall present some operator versions of our fundamental theory in the general theory of reproducing kernels, as original results.
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In this survey article, we would like to show that the theory of reproducing kernels is fundamental, is beautiful and is applicable widely in mathematics. At the same time, we shall present some operator versions of our fundamental theory in the general theory of reproducing kernels, as original results.
openaire +2 more sources
Learning with centered reproducing kernels
Analysis and ApplicationsKernel-based learning algorithms have been extensively studied over the past two decades for their successful applications in scientific research and industrial problem-solving. In classical kernel methods, such as kernel ridge regression and support vector machines, an unregularized offset term naturally appears.
Wang, Chendi, Guo, Xin, Wu, Qiang
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Reproducing Kernels and Finite Order Kernels
1991Recent literature on density and regression function estimation has shown the interest of kernels of order s, i.e. kernels with (s-1) vanishing moments. We define here a multi-stage procedure to build estimates based on increasing order kernels and leading to a data-driven choice of both the order and the smoothing parameter. Some asymptotic as well as
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When and why PINNs fail to train: A neural tangent kernel perspective
Journal of Computational Physics, 2022Sifan Wang, Xinling Yu
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Cryo-EM of full-length α-synuclein reveals fibril polymorphs with a common structural kernel
Nature Communications, 2018Peng Ge, Kevin A Murray, Meng Zhang
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Rare-Variant Association Testing for Sequencing Data with the Sequence Kernel Association Test
American Journal of Human Genetics, 2011Michael C Wu, Seunggeun Lee, Tianxi Cai
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