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Notes on Cauchy–Stieltjes Kernel Families
The free Meixner family (FMF) is the family of measures that produces quadratic Cauchy–Stieltjes Kernel (CSK) families (i.e., meaning that the associated variance function (VF) is a polynomial with degree ≤2 in the mean).
Shokrya S. Alshqaq +2 more
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Nonsymmetric Cauchy kernel, crystals and last passage percolation [PDF]
We use non-symmetric Cauchy kernel identities to get the law of last passagepercolation models in terms of Demazure characters. The construction is basedon some restrictions of the RSK correspondence that we rephrase in a unifiedway which is compatible with crystal basis theory.
Azenhas, Olga +2 more
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Non-symmetric Cauchy kernels [PDF]
Using an analogue of the Robinson-Schensted-Knuth (RSK) algorithm for semi-skyline augmented fillings, due to Sarah Mason, we exhibit expansions of non-symmetric Cauchy kernels $∏_(i,j)∈\eta (1-x_iy_j)^-1$, where the product is over all cell-coordinates $
Olga Azenhas, Aram Emami
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Multikernel Adaptive Filters Under the Minimum Cauchy Kernel Loss Criterion
The Cauchy loss has been successfully applied in robust learning algorithms in the presence of large outliers, but it may suffer from performance degradation in complex nonlinear tasks.
Wei Shi, Kui Xiong, Shiyuan Wang
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Fast Analytic Sampling Approximation from Cauchy Kernel [PDF]
The paper aims at establishing a fast numerical algorithm for Bk(f), where f is any function in the Hardy space H2(Td) and k is the scale level. Here, Bk(f) is an approximation to f we recently constructed by applying the multiscale transform to the ...
Youfa Li +4 more
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Fault Diagnosis of Bearing Based on Cauchy Kernel Relevance Vector Machine Classifier with SIWPSO
Bearing is an important component of mechanical system; any defects of bearing will lead to serious damage for the entire mechanical system. In this paper, Cauchy kernel relevance vector machine with stochastic inertia weight particle swarm optimization ...
Sheng-wei Fei, Yong He
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Solution of Singular Integral Equations of the First Kind with Cauchy Kernel
In this paper an analytic method is developed for solving Cauchy type singular integral equations of the first kind, over a finite interval. Chebyshev polynomials of the first kind, $T_n(x)$, second kind, $U_n(x)$, third kind, $V_n(x)$, and fourth kind, $
B.n. Mandal, Subhabrata Mondal
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Accurate prediction for kurtosis of bearing vibration signal is helpful to find out the fault of bearing as soon as possible. Kurtosis prediction of bearing vibration signal based on wavelet packet transform and Cauchy kernel relevance vector regression ...
Sheng-wei Fei
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Studies on Cauchy–Stieltjes Kernel Families
In the setting of Cauchy–Stieltjes kernel (CSK) families, this study provides some features of free Poisson, free Gamma, and free Binomial laws, as well as some innovative limit theorems linked to Fermi convolution.
Abdulmajeed Albarrak +2 more
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Event-Driven Maximum Correntropy Filter Based on Cauchy Kernel for Spatial Orientation Using Gyros/Star Sensor Integration [PDF]
Gyros/star sensor integration provides a potential method to obtain high-accuracy spatial orientation for turntable structures. However, it is subjected to the problem of accuracy loss when the measurement noises become non-Gaussian due to the complex ...
Kai Cui +5 more
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