Results 11 to 20 of about 166,726 (252)
On Hardy kernels as reproducing kernels [PDF]
, 2023 Hardy kernels are a useful tool to define integral operators on Hilbertian spaces like L2 (R+) or H2 (C+). These kernels entail an algebraic L1-structure which is used in this work to study the range spaces of those operators as reproducing kernel ...
Jesús Oliva-Maza, Oliva Maza, J.
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Tropical reproducing kernels and optimization
, 2023 Hilbertian kernel methods and their positive semidefinite kernels have been extensively used in various fields of applied mathematics and machine learning, owing to their several equivalent characterizations.
Aubin-Frankowski, Pierre-Cyril +1 more
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Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces [PDF]
, 2011 The classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas. In particular, when the involved kernel is analytic in the sampling parameter it can be stated in an abstract setting of reproducing kernel Hilbert spaces
Hernández-Medina, Miguel A. +7 more
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Reproducing Kernel Hilbert Spaces of Smooth Fractal Interpolation Functions
Fractal and Fractional, 2023 The theory of reproducing kernel Hilbert spaces (RKHSs) has been developed into a powerful tool in mathematics and has lots of applications in many fields, especially in kernel machine learning.
Dah-Chin Luor, Liang-Yu Hsieh
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Reproducing Kernels and Variable Bandwidth
Journal of Function Spaces and Applications, 2012 We show that a modulation space of type () is a reproducing kernel Hilbert space (RKHS). In particular, we explore the special cases of variable bandwidth spaces Aceska and Feichtinger (2011) with a suitably chosen weight to provide strong enough decay ...
R. Aceska, H. G. Feichtinger
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Using String Kernels to Identify Famous Performers from their Playing Style
, 2004 In this paper we show a novel application of string kernels: that is to the problem of recognising famous pianists from their style of playing. The characteristics of performers playing the same piece are obtained from changes in beat-level tempo and ...
David R. Hardoon +7 more
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Density Problem and Approximation Error in Learning Theory
Abstract and Applied Analysis, 2013 We study the density problem and approximation error of reproducing kernel Hilbert spaces for the purpose of learning theory. For a Mercer kernel on a compact metric space (, ), a characterization for the generated reproducing kernel Hilbert space (RKHS)
Ding-Xuan Zhou
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Reproducing Kernels of Weight Square-Summable Sequences Hilbert Spaces
Annales Mathematicae Silesianae, 2019 In this paper we will introduce the concept of weighted reproducing kernel of l2(ℂ) space, in similiar way as it is done in case of weighted reproducing kernel of Bergman space.
Żynda Tomasz Łukasz
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, 2013 This report is concerned with the theory of reproducing kernels. First, a background of elementary facts about Hilbert spaces is given. The most important theorems are the projection and Riesz theorems.
Jeppsson, Johannes
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Detecting periodicities with Gaussian processes [PDF]
PeerJ Computer Science, 2016 We consider the problem of detecting and quantifying the periodic component of a function given noise-corrupted observations of a limited number of input/output tuples.
Nicolas Durrande +3 more
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