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In this talk, I will describe a moving sphere approach to a class of integral equations with bubble-type kernel. This class of equations comes from higher-order elliptic equations on the standard sphe...
In view of the fact that the deep convolutional neural network has stronger ability of feature learning and feature expression, an exploratory research is done on feature extraction and classification...
We study the detailed structure (in a large sample) of the self-consistent estimators of the survival functions with doubly censored data. We also introduce the kernel-type density estimators based on...
We prove two-sided estimates of heat kernels on non-parabolic Riemannian manifolds with ends, assuming that the heat kernel on each end separately satisfies the Li-Yau estimate. Résumé. — Nous obte...
We study how bounds on the local geometry of a Riemannian polyhedral complex yield uniform local Poincar′e inequalities. These inequalities have a variety of applications, including bounds on the he...
The performance of a kernel-based learning algorithm depends very much on the choice of the kernel. Recently, much attention has been paid to the problem of learning the kernel itself from given train...
We present a new adaptive fast multipole algorithm and its parallel implementation. The algorithm is kernel-independent in the sense that the evaluation of pairwise interactions does not rely on any a...
We present a new fast multipole method for particle simulations. The main feature of our algorithm is that it does not require the implementation of multipole expansions of the underlying kernel, and ...
This paper presents a new directional multilevel algorithm for solving N-body or N-point problems with highly oscillatory kernels. We address the problem by first proving that the interaction between ...
HORSESHOES IN MULTIDIMENSIONAL SCALING AND KERNEL METHODS。
This experiment was conducted to investigate the effects of palm kernel expellers on productive performance, nutrient digestibility, and changes in white blood cells (WBC) of lactating sows. A total o...
This experiment was conducted to investigate the effects of palm kernel expellers on growth performance, nutrient digestibility, and blood profiles of weaned pigs. A total of 88 weaned pigs (6.94±0.76...
We investigate the discretization of of an electron-optical phonon scattering using a nite volume method. The discretization is conservative in mass and is essentially based on an energy point of v...
由于数据被核化后不能还原, 使核方法的应用受到局限. 对此, 提出一种基于Multi-kernelKRR的数据还原算法. 首先, 通过同类数据中已知数据进行多次核化迭代, 使已知数据在超高维欧氏空间中呈线性; 然后, 利用已知数据对同类未知数据进行线性表示, 并以Kernel ridge regression (KRR) 算法进行未知数据的回归; 最后实现数据还原. 选取Iris flower...

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