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Operational Calculus for the general fractional derivatives with the Sonine kernels
, 2021 30 pages.
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A survey of kernel and spectral methods for clustering [PDF]
, 2007 Clustering algorithms are a useful tool to explore data structures and have been employed in many disciplines. The focus of this paper is the partitioning clustering problem with a special interest in two recent approaches: kernel and spectral methods ...
Masulli, F. +11 more
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Sonine integral equations [PDF]
, 2006 As equações integrais de Sonine são equações de primeira espécie, de Volterra, Kfp =f , com núcleo às diferenças, tais que existe um núcleo associado ao núcleo original de modo que sejam ambos divisores da unidade para a convolução.
Cardoso, Rogério Pereira
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General fractional integral operators do not preserve periodicity
Examples and CounterexamplesIf a periodic real function is differentiable, its derivative is also periodic with the same period. The primitive of a periodic function is periodic if the mean value of the function, over a period, is zero.It is well known that the fractional integral ...
Hamza Al-Shdaifat +2 more
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Locally linear approximation for Kernel methods : the Railway Kernel [PDF]
, 2008 In this paper we present a new kernel, the Railway Kernel, that works properly for general (nonlinear) classification problems, with the interesting property that acts locally as a linear kernel.
González, Javier, Muñoz, Alberto
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New bandwidth selection for kernel quantile estimators [PDF]
, 2012 Copyright © 2012 Ali Al-Kenani and Keming Yu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly ...
Al-Kenani, A +3 more
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Fractional Calculus and Applied AnalysisAbstractThe causal shift-invariant convolution is studied from the point of view of inversion. Abel’s algorithm, used in the tautochrone problem, is considered and Sonin’s existence condition is deduced. To generate pairs of functions verifying Sonin’s condition, the class of Mittag-Leffler type functions is used.
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On a q-Dunkl sonine transform [PDF]
, 2013 In this paper, we introduce and study the q-Dunkl Sonine transform and we establish a Plancherel formula for its dual.
Bettaieb, Rym Hasna +2 more
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Anomalous Diffusion Models Involving Regularized General Fractional Derivatives with Sonin Kernels
Fractal and FractionalIn this paper, we introduce a general fractional master equation involving regularized general fractional derivatives with Sonin kernels, and we discuss its physical characteristics and mathematical properties. First, we show that this master equation can be embedded into the framework of continuous time random walks, and we derive an explicit formula ...
Maryam Alkandari +2 more
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Hierarchic Bayesian models for kernel learning [PDF]
, 2005 The integration of diverse forms of informative data by learning an optimal combination of base kernels in classification or regression problems can provide enhanced performance when compared to that obtained from any single data source.
Rogers, S. +3 more
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