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The Kernel Rough K-Means Algorithm
Recent Advances in Computer Science and Communications, 2020Background: 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 +4 more
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Parabolic Littlewood-Paley g-function with rough kernel
Acta Mathematica Sinica, English Series, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong Ding
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A rough fuzzy kernel clustering algorithm
2015 IEEE International Conference on Communication Problem-Solving (ICCP), 2015Traditional 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 +3 more
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Rough Kernel Clustering Algorithm with Adaptive Parameters
2011Through analyzing kernel clustering algorithm and rough set theory, a novel clustering algorithm, Rough kernel k-means clustering algorithm with adaptive parameters, is proposed for clustering analysis in this paper. By using Mercer kernel functions, we can map the data in the original space to a highdimensional feature space, in which we can use rough
Tao Zhou 0009 +4 more
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Rough Cluster Algorithm Based on Kernel Function
2008By means of analyzing kernel clustering algorithm and rough set theory, a novel clustering algorithm, rough kernel k-means clustering algorithm, was proposed for clustering analysis. Through using Mercer kernel functions, samples in the original space were mapped into a highdimensional feature space, which the difference among these samples in sample ...
Tao Zhou 0009 +4 more
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Space-carving Kernels for Accurate Rough Terrain Estimation
The International Journal of Robotics Research, 2010Accurate terrain estimation is critical for autonomous offroad navigation. Reconstruction of a three-dimensional (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
Raia Hadsell +3 more
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Singular Integrals along Surfaces of Revolution with Rough Kernels
SUT Journal of Mathematics, 2003Let \(n\geq 2\) and \(S^{n-1}\) be the unit sphere in \(\mathbb{R}^n\) equipped with the normalized Lebesgue measure \(d\sigma\). Suppose that \(\Omega\) is a homogeneous function of degree zero on \(\mathbb{R}^n\) that satisfies \(\Omega\in B_q^{0,0}(S^{n-1})\) and \(\int_{S^{n-1}} \Omega (x)d\sigma=0\), where \(B_q^{0,0}\) is a certain block space ...
Al-Qassem, Hussain, Pan, Yibiao
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On Singular Integral Operators with Rough Kernel Along Surface
Integral Equations and Operator Theory, 2010Let \(\Omega\) be a homogeneous function of degree 0 on \(\mathbb{R}^n\), with \(\Omega \in L^1(S^{n-1})\) and \( \int \Omega (y') d\sigma (y')=0. \) Suppose that \(\Phi\) is a nonnegative (or nonpositive) and monotonic \(C^1\) function on \((0, \infty)\) such that \( \varphi (t) := \frac{\Phi(t)}{t \Phi'(t)} \) is bounded.
Ding, Yong +2 more
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Rough Sets, Kernel Set, and Spatiotemporal Outlier Detection
IEEE Transactions on Knowledge and Data Engineering, 2014Nowadays, the high availability of data gathered from wireless sensor networks and telecommunication systems has drawn the attention of researchers on the problem of extracting knowledge from spatiotemporal data. Detecting outliers which are grossly different from or inconsistent with the remaining spatiotemporal data set is a major challenge in real ...
Alfredo Petrosino +2 more
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An extension of Marcinkiewicz integrals with rough kernels
Acta Mathematica ScientiazbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Huoxiong, Wu, Lin
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