Results 1 to 10 of about 2,350 (202)
Non-symmetric Cauchy kernels [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 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
IEEE Access, 2019 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.
Shiyuan Wang, Kui Xiong
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Notes on Cauchy–Stieltjes Kernel Families
AxiomsThe 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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The kernel theorem for Cauchy ultradistribution
Journal of Mathematical Analysis and Applications, 2003 Because of the popularity currently gained by ultradistribution theory (after the heydays of Schwartz distribution theory) the authors have tried to extend the results concerning kernel theorems to ultradistributions. Some elementary results are proved under the heading ``The kernel theorem''.
Banerji, P.K. +2 more
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A Cauchy kernel for slice regular functions [PDF]
Annals of Global Analysis and Geometry, 2009 In this paper we show how to construct a regular, non commutative Cauchy kernel for slice regular quaternionic functions. We prove an (algebraic) representation formula for such functions, which leads to a new Cauchy formula. We find the expression of the derivatives of a regular function in terms of the powers of the Cauchy kernel, and we present ...
Graziano Gentili +2 more
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Event-Driven Maximum Correntropy Filter Based on Cauchy Kernel for Spatial Orientation Using Gyros/Star Sensor Integration [PDF]
SensorsGyros/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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Studies on Cauchy–Stieltjes Kernel Families
MathematicsIn 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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On Cauchy–Stieltjes kernel families [PDF]
Journal of Multivariate Analysis, 2014 We explore properties of Cauchy-Stieltjes families that have no counterpart in exponential families. We relate the variance function of the iterated Cauchy-Stieltjes family to the pseudo-variance function of the initial Cauchy-Stieltjes family. We also investigate when the domain of means can be extended beyond the "natural domain".
Wlodek Bryc +2 more
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The Cauchy kernel, the Szeg� kernel, and the Riemann mapping function
Mathematische Annalen, 1978 Stein E M, E M Stein
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Unique solvability of boundary value problem for functional differential equations with involution [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper we consider a boundary value problem for systems of Fredholm type integral-differential equations with involutive transformation, containing derivative of the required function on the right-hand side under the integral sign ...
K.Zh. Nazarova, K.I. Usmanov
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