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77,132
Convergence Of The Monte Carlo EM For Curved Exponential Families
, 2000
"... The Monte Carlo Expectation Maximization (MCEM) algorithm (Wei and Tanner (1991)), a stochastic... ..."
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The Monte Carlo Expectation Maximization (MCEM) algorithm (Wei and Tanner (1991)), a stochastic...
Complex Interpolation of Weighted Besov and LizorkinTriebel Spaces
, 2012
"... We study complex interpolation of weighted Besov and LizorkinTriebel spaces. The used weights w0, w1 are local Muckenhoupt weights in the sense of Rychkov. As a first step we calculate the Calderón products of associated sequence spaces. Finally, as a corollary of these investigations, we obtain r ..."
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We study complex interpolation of weighted Besov and LizorkinTriebel spaces. The used weights w0, w1 are local Muckenhoupt weights in the sense of Rychkov. As a first step we calculate the Calderón products of associated sequence spaces. Finally, as a corollary of these investigations, we obtain
REAL INTERPOLATION OF SOBOLEV SPACES ASSOCIATED TO A Weight
, 2008
"... We study the interpolation property of Sobolev spaces of order 1 denoted by W 1 p,V, arising from Schrödinger operators with positive potential. We show that for 1 ≤ p1 < p < p2 < q0 with p> s0, W 1 p,V is a real interpolation space between W 1 p1,V and W 1 p2,V on some classes of mani ..."
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Cited by 7 (4 self)
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We study the interpolation property of Sobolev spaces of order 1 denoted by W 1 p,V, arising from Schrödinger operators with positive potential. We show that for 1 ≤ p1 < p < p2 < q0 with p> s0, W 1 p,V is a real interpolation space between W 1 p1,V and W 1 p2,V on some classes
Convergence of Product Integration Rules for Weights on the Whole Real Line II
"... We continue our investigation of product integration rules associated with weights on the whole real line, such as exp jxj;> 1. In an earlier paper, we considered interpolatory integration rules whose abscissas are the zeros of an orthogonal polynomial associated with the weight. In this paper, w ..."
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We continue our investigation of product integration rules associated with weights on the whole real line, such as exp jxj;> 1. In an earlier paper, we considered interpolatory integration rules whose abscissas are the zeros of an orthogonal polynomial associated with the weight. In this paper
Interpretability, Interpolation and Rule Weights in Linguistic Fuzzy Modeling
"... Abstract Linguistic fuzzy modeling that is usually implemented using Mamdani type of fuzzy systems suffers from the lack accuracy and high computational costs. The paper shows that productsum inference is an immediate remedy to both problems and that in this case it is sufficient to consider symmet ..."
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Abstract Linguistic fuzzy modeling that is usually implemented using Mamdani type of fuzzy systems suffers from the lack accuracy and high computational costs. The paper shows that productsum inference is an immediate remedy to both problems and that in this case it is sufficient to consider
Interpolation and approximation in Taylor spaces
, 2009
"... Abstract: The univariate Taylor formula without remainder allows to reproduce a function completely from certain derivative values. Thus one can look for Hilbert spaces in which the Taylor formula acts as a reproduction formula. It turns out that there are many Hilbert spaces which allow this, and ..."
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Cited by 2 (1 self)
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, and Bessel functions. Since the theory of kernelbased interpolation and approximation is wellestablished, this leads to a variety of results. In particular, interpolation by shifted exponentials, rationals, hyperbolic cosines, logarithms, and Bessel functions provides exponentially convergent approximations
Rational interpolation: I. Least square convergence
"... Given a positive bounded Borel measure µ on the interval [−1, 1], we provide convergence results in Lµ2norm to a function f of its sequence of interpolating rational functions at the nodes of rational Gausstype quadrature formulas associated with the measure µ. For this, we use the connection bet ..."
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Cited by 1 (1 self)
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Given a positive bounded Borel measure µ on the interval [−1, 1], we provide convergence results in Lµ2norm to a function f of its sequence of interpolating rational functions at the nodes of rational Gausstype quadrature formulas associated with the measure µ. For this, we use the connection
Univariate interpolation by exponential functions and Gaussian RBFs for generic sets of nodes
"... 2012 We consider interpolation of univariate functions on arbitrary sets of nodes by Gaussian radial basis functions or by exponential functions. We derive closedform expressions for the interpolation error based on the HarishChandraItzyksonZuber formula. We then prove the exponential convergenc ..."
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convergence of interpolation for functions analytic in a sufficiently large domain. As an application, we prove the global exponential
Results 11  20
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77,132