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Gaussian Quadrature for Kernel Features. [PDF]
Adv Neural Inf Process Syst, 2017 Kernel methods have recently attracted resurgent interest, showing performance competitive with deep neural networks in tasks such as speech recognition. The random Fourier features map is a technique commonly used to scale up kernel machines, but employing the randomized feature map means that $O( ^{-2})$ samples are required to achieve an ...
Dao T, De Sa C, Ré C.
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Importance Gaussian Quadrature [PDF]
IEEE Transactions on Signal Processing, 2021 Importance sampling (IS) and numerical integration methods are usually employed for approximating moments of complicated target distributions. In its basic procedure, the IS methodology randomly draws samples from a proposal distribution and weights them accordingly, accounting for the mismatch between the target and proposal.
Victor Elvira, Luca Martino, Pau Closas
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IEEE Open Journal of Signal Processing, 2021 Quadrature spatial modulation (QSM) isa recently proposed multiple-input multiple-output (MIMO) wireless transmission paradigm that has garnered considerable research interest owing to its relatively high spectral efficiency. QSM essentially enhances the
Malek M. Alsmadi +3 more
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Anti-Gaussian quadrature formulas [PDF]
Mathematics of Computation, 1996 An anti-Gaussian quadrature formula is an ( n + 1 ) (n+1) -point formula of degree 2 n − 1 2n-1 which integrates polynomials of degree up to 2 n + 1 2n+1 with an error equal in magnitude but of opposite ...
Dirk Laurie
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Gaussian quadrature for non-Gaussian distributions [PDF]
AIP Conference Proceedings, 2022 Many problems of operations research or decision science involve continuous probability distributions, whose handling may be sometimes unmanageable; in order to tackle this issue, different forms of approximation methods can be used. When constructing a k-point discrete approximation of a continuous random variable, moment matching, i.e., matching as ...
Barbiero, Alessandro, Hitaj, Asmerilda
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Gaussian Process Quadrature Moment Transform [PDF]
IEEE Transactions on Automatic Control, 2017 Computation of moments of transformed random variables is a problem appearing in many engineering applications. The current methods for moment transformation are mostly based on the classical quadrature rules, which cannot account for the approximation ...
Jakub Prüher, Ondřej Straka
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Journal of Numerical Analysis and Approximation Theory, 1983 It is shown how the construction of Gaussian quadrature rules for Cauchy type principal value integrals, as well as for finite-part integrals with an algebraic singularity, can be based on the theory of Gaussian quadrature rules for ordinary integrals ...
N. I. Ioakimidis
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Product Gaussian Quadrature on Circular Lunes [PDF]
Numerical Mathematics: Theory, Methods and Applications, 2014 Resorting to recent results on subperiodic trigonometric quadrature, we provide three product Gaussian quadrature formulas exact on algebraic polynomials of degree $n$ on circular lunes. The first works on any lune, and has $n^2 + \mathcal{O}(n)$ cardinality. The other two have restrictions on the lune angular intervals, but their cardinality is $n^2/2
Da Fies G., VIANELLO, MARCO
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A Gaussian quadrature rule for oscillatory integrals on a bounded interval [PDF]
, 2012 We investigate a Gaussian quadrature rule and the corresponding orthogonal polynomials for the oscillatory weight function $e^{i\omega x}$ on the interval $[-1,1]$.
Andreas Asheim +3 more
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Asymptotic Error Estimates for Gaussian Quadrature Formulas [PDF]
Mathematics of Computation, 1982 This paper gives derivative-free asymptotic error estimates for the Gaussian quadrature formula with the nonnegative weight function w ( x ) w(x) belonging to a certain class. Numerical examples are presented.
T. H. Charles Chen
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