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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.
Kai Zeng, Siyuan Jing
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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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ESAIM: Proceedings and Surveys, 2023 After a brief survey on rough paths theory, from the seminal paper of T. Lyons to its recent developments, this proceeding provides details on C. Bellingeri, Y. Bruned and A.
Bailleul Ismael +4 more
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Uncertainty Measurement and Attribute Reduction Algorithm Based on Kernel Similarity Rough Set Model
Journal of Mathematics, 2022 Attribute reduction is the core research content in rough set theory. At present, the attribute reduction of numerical information system mostly adopts the neighborhood rough set method.
Baoguo Chen, Lei Chen, Ming Deng
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Estimates for Generalized Parabolic Marcinkiewicz Integrals with Rough Kernels on Product Domains
Axioms, 2023 We prove Lp estimates of a class of generalized Marcinkiewicz integral operators with mixed homogeneity on product domains. By using these estimates along with an extrapolation argument, we obtain the boundedness of our operators under very weak ...
Mohammed Ali, Hussain Al-Qassem
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Subharmonic functions in scattering theory
Comptes Rendus. Mathématique, 2021 We present a method that uses the properties of subharmonic functions to control spatial asymptotics of Green’s kernel of multidimensional Schrödinger operator with rough potential.
Denisov, Sergey A.
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Rough action on topological rough groups
Applied General Topology, 2020 In this paper we explore the interrelations between rough set theory and group theory. To this end, we first define a topological rough group homomorphism and its kernel.
Alaa Altassan +3 more
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Molecular mapping of QTLs for grain dimension traits in Basmati rice
Frontiers in Genetics, 2022 Basmati rice is known for its extra-long slender grains, exceptional kernel dimensions after cooking, high volume expansion, and strong aroma. Developing high yielding Basmati rice varieties with good cooking quality is a gigantic task.
Ankit Malik +11 more
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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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Short-term power load forecasting based on gray relational analysis and support vector machine optimized by artificial bee colony algorithm [PDF]
PeerJ Computer Science, 2022 Short-term power load forecasting is essential in ensuring the safe operation of power systems and a prerequisite in building automated power systems.
Xinfu Pang +4 more
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