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Assessing the feasibility of quantum learning algorithms for noisy linear problems. [PDF]
Kim M, Kim P.
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Response Preparation and the Simon Effect: Experimental and Model-Based Analyses. [PDF]
Heuer H, Wühr P.
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A comparative study of drones path planning and bezier curve optimization based on multi-strategy search algorithm. [PDF]
Xu G.
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Active Learning of Atomic Size Gas/Solid Potential Energy Surfaces via Physics Aware Models. [PDF]
Patsalidis N +4 more
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Armed with Faster Crypto: Optimizing Elliptic Curve Cryptography for ARM Processors. [PDF]
De Smet R +4 more
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Bipedal Robot Gait Generation Using Bessel Interpolation. [PDF]
Wang Z +5 more
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Generalized Bernstein Polynomials
BIT Numerical Mathematics, 2004The authors define generalized Bernstein polynomials of degree \(n\), for \(n \in \mathbb{N}\) and \(i \in \{0,1,\dots,n\}\), by \[ B_i^n(x;\omega| q):= \frac{1}{(\omega;q)_n} \begin{bmatrix} n \\i \end{bmatrix}_q x^i(\omega x^{-1};q)_i(x;q)_{n-i}. \] Here \(q\) and \(\omega\) are real parameters such that \(q \neq 1\) and \(\omega \neq 1,q^{-1},\dots ...
Lewanowicz, Stanisław, Woźny, Paweł
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On Generalized Bernstein Polynomials
SIAM Journal on Mathematical Analysis, 1974The generalized Bernstein polynomials of Jakimovski and Leviatan and the generalized Euler summability method of Wood are considered in the general context of Gronwall-like transformations. It is shown under general circumstances that, for bounded sequences, generalized Euler summability is equivalent to Euler summability.
Bustoz, J., Groetsch, C. W.
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Tensor product q-Bernstein polynomials
BIT Numerical Mathematics, 2008Given a real number \(q>0\), \(q\)-Bernstein polynomials are a generalization, in the spirit of \(q\)-calculus, of the classical Bernstein polynomials (which can be obtained for \(q=1\)) where some of the integers in the definition of the classical ones are substituted by \(q\)-integers.
Dişibüyük, Çetin, Oruç, Halil
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Scandinavian Journal of Statistics, 1999
Random Bernstein polynomials which are also probability distribution functions on the closed unit interval are studied. The probability law of a Bernstein polynomial so defined provides a novel prior on the space of distribution functions on [0, 1] which has full support and can easily select absolutely continuous distribution functions with a ...
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Random Bernstein polynomials which are also probability distribution functions on the closed unit interval are studied. The probability law of a Bernstein polynomial so defined provides a novel prior on the space of distribution functions on [0, 1] which has full support and can easily select absolutely continuous distribution functions with a ...
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