Results 1 to 10 of about 40,080 (118)
The spectrum of random kernel matrices: universality results for rough and varying kernels [PDF]
Random Matrices: Theory and Applications, 2013 We consider random matrices whose entries are f() or f(||Xi-Xj||^2) for iid vectors Xi in R^p with normalized distribution. Assuming that f is sufficiently smooth and the distribution of Xi's is sufficiently nice, El Karoui [17] showed that the spectral ...
Do, Yen, Vu, Van
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Nonlocal filtration equations with rough kernels [PDF]
Nonlinear Analysis, 2016 We study the nonlinear and nonlocal Cauchy problem \[ \partial_{t}u+\mathcal{L} (u)=0 \quad\text{in }\mathbb{R}^{N}\times\mathbb{R}_+,\qquad u(\cdot,0)=u_0, \] where $\mathcal{L}$ is a L vy-type nonlocal operator with a kernel having a singularity at the origin as that of the fractional Laplacian. The nonlinearity $ $ is nondecreasing and continuous,
Arturo de Pablo +2 more
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Kernel Neighborhood Rough Sets Model and Its Application [PDF]
Complexity, 2018 Rough set theory has been successfully applied to many fields, such as data mining, pattern recognition, and machine learning. Kernel rough sets and neighborhood rough sets are two important models that differ in terms of granulation. The kernel rough sets model, which has fuzziness, is susceptible to noise in the decision system.
Kai Zeng, Siyuan Jing
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On maximal and potential operators with rough kernels in variable exponent spaces [PDF]
, 2016 In the framework of variable exponent Lebesgue and Morrey spaces we prove some boundedness results for operators with rough kernels, such as the maximal operator, fractional maximal operator, sharp maximal operators and fractional operators. The approach
Rafeiro, Humberto, Samko, Stefan
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Accurate Rough Terrain Estimation with Space-Carving Kernels [PDF]
Robotics: Science and Systems V, 2009 Accurate terrain estimation is critical for autonomous offroad navigation. Reconstruction of a 3D surface allows rough and hilly ground to be represented, yielding faster driving and better planning and control. However, data from a 3D sensor samples the terrain unevenly, quickly becoming sparse at longer ranges and containing large voids because of ...
R. Hadsell +3 more
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A PARABOLIC SINGULAR INTEGRAL OPERATOR WITH ROUGH KERNEL [PDF]
Journal of the Australian Mathematical Society, 2008 AbstractLet Ω(y′) be an H1(Sn−1) function on the unit sphere satisfying a certain cancellation condition. We study the Lp boundedness of the singular integral operator where α≥n and ρ is a norm function which is homogeneous with respect to certain nonistropic dilation. The result in the paper substantially improves and extends some known results.
Chen, Yanping, Ding, Yong, Fan, Dashan
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Quantitative weighted bounds for Calderón commutators with rough kernels [PDF]
Studia Mathematica, 2022 weaken the assumption on the ...
Chen, Yanping, Li, Ji
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A singular integral operator with rough kernel [PDF]
Proceedings of the American Mathematical Society, 1997 Summary: Let \(b(y)\) be a bounded radial function and \(\Omega(y')\) an \(H^1\) function on the unit sphere satisfying the mean zero property. Under certain growth conditions on \(\Phi(t)\), we prove that the singular integral operator \[ T_{\Phi,b}f(x)=\text{p.v.} \int_{\mathbb R^n} f(x-\Phi(|y|)y') b(y)|y|^{-n}\Omega(y') dy \] is bounded in \(L^p ...
Fan, Dashan, Pan, Yibiao
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Operators with rough singular kernels
Journal of Mathematical Analysis and Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Daning, Ding, Yong, Fan, Dashan
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Kernel Based Rough-Fuzzy C-Means [PDF]
, 2013 Data clustering has found its usefulness in various fields. Algorithms are mostly developed using euclidean distance. But it has several drawbacks which maybe rectified by using kernel distance formula. In this paper, we propose a kernel based rough-fuzzy C-Means (KRFCM) algorithm and use modified version of the performance indexes (DB and D) obtained ...
Rohan Bhargava, Balakrushna Tripathy
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