Results 191 to 200 of about 40,198 (236)

Singular Integrals With Rough Kernels

Canadian Mathematical Bulletin, 2004
AbstractIn this paper we establish the Lp boundedness of a class of singular integrals with rough kernels associated to polynomial mappings.
Al-Salman, Ahmad, Pan, Yibiao
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Certain Operators with Rough Singular Kernels

Canadian Journal of Mathematics, 2003
AbstractWe study the singular integral operatordefined on all test functions f, where b is a bounded function, α ≥ 0, Ω (yʻ) is an integrable function on the unit sphere Sn-1 satisfying certain cancellation conditions. We prove that, for 1 < p < ∞, TΩ,α extends to a bounded operator from the Sobolev space to the Lebesgue space Lp with Ω being a ...
Chen, Jiecheng, Fan, Dashan, Ying, Yiming   +2 more
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The Kernel Rough K-Means Algorithm

Recent Advances in Computer Science and Communications, 2020
Background: Clustering is one of the most important data mining methods. The k-means (c-means ) and its derivative methods are the hotspot in the field of clustering research in recent years. The clustering method can be divided into two categories according to the uncertainty, which are hard clustering and soft clustering. The Hard C-Means clustering
Wang Meng, Dui Hongyan, Zhou Shiyuan, Dong Zhankui, Wu Zige   +4 more
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Multilinear Singular Integrals with Rough Kernel

Acta Mathematica Sinica, English Series, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lu, Shan Zhen, Wu, Huo Xiong, Zhang, Pu
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A rough fuzzy kernel clustering algorithm

2015 IEEE International Conference on Communication Problem-Solving (ICCP), 2015
Traditional clustering algorithm can't deal with non-linear fuzzy and boundary problem. This paper provides a rough fuzzy kernel clustering algorithm. The algorithm firstly using kernel function map input space to high-dimensional space, make the space can be partitioned linearly.
Ouyang Hao, Feng Wang Ri, Wen Wang Zhi, Jin Huang Zhen   +3 more
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Vector‐valued singular integral operators with rough kernels

Mathematische Nachrichten, 2023
AbstractIn this paper, we establish a weak‐type (1,1) boundedness criterion for vector‐valued singular integral operators with rough kernels. As applications, we obtain weak‐type (1,1) bounds for the convolution singular integral operator taking value in the Banach space Y with a rough kernel, the maximal operator taking vector value in Y with a rough ...
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Parabolic Littlewood-Paley g-function with rough kernel

Acta Mathematica Sinica, English Series, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xue, Qing Ying, Ding, Yong, Yabuta, Kôzô   +2 more
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Kernelized Fuzzy Rough Sets

2009
Kernel machines and rough sets are two classes of popular learning techniques. Kernel machines enhance traditional linear learning algorithms to deal with nonlinear domains by a nonlinear mapping, while rough sets introduce a human-like manner to deal with uncertainty in learning.
Qinghua Hu, Degang Chen, Daren Yu, Witold Pedrycz   +3 more
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Marcinkiewicz integral with rough kernels

Frontiers of Mathematics in China, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Kernelized Fuzzy Rough Sets and Their Applications

IEEE Transactions on Knowledge and Data Engineering, 2011
Kernel machines and rough sets are two classes of commonly exploited learning techniques. Kernel machines enhance traditional learning algorithms by bringing opportunities to deal with nonlinear classification problems, rough sets introduce a human-focused way to deal with uncertainty in learning problems.
Qinghua Hu, Daren Yu, Witold Pedrycz, Degang Chen   +3 more
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