Results 21 to 30 of about 156,585 (259)
A note on the convergence rates in precise asymptotics
Journal of Inequalities and Applications, 2019 Let {X,Xn,n≥1} $\{X, X_{n}, n\geq1\}$ be a sequence of i.i.d. random variables with EX=0 $EX=0$, EX2=σ2 $EX^{2}=\sigma^{2}$. Set Sn=∑k=1nXk $S_{n}=\sum_{k=1}^{n}X_{k}$ and let N ${\mathcal {N} }$ be the standard normal random variable. Let g(x) $g(x)$ be
Yong Zhang
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Geometric Estimation of Multivariate Dependency
Entropy, 2019 This paper proposes a geometric estimator of dependency between a pair of multivariate random variables. The proposed estimator of dependency is based on a randomly permuted geometric graph (the minimal spanning tree) over the two multivariate samples ...
Salimeh Yasaei Sekeh, Alfred O. Hero
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A unified approach for regularizing discretized linear ill‐posed problems
Mathematical Modelling and Analysis, 2009 In this paper we deal with regularization approaches for discretized linear ill‐posed problems in Hilbert spaces. As opposite to other contributions concerning this topic the smoothness of the unknown solution is measured with so‐called approximative ...
Torsten Hein
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Geometrizing Rates of Convergence, III
The Annals of Statistics, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Donoho, David L., Liu, Richard C.
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Ensemble Estimation of Information Divergence †
Entropy, 2018 Recent work has focused on the problem of nonparametric estimation of information divergence functionals between two continuous random variables. Many existing approaches require either restrictive assumptions about the density support set or difficult ...
Kevin R. Moon +3 more
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Mathematics, 2020 In this paper, Landweber iteration with a relaxation factor is proposed to solve nonlinear ill-posed integral equations. A compression multiscale Galerkin method that retains the properties of the Landweber iteration is used to discretize the Landweber ...
Rong Zhang, Fanchun Li, Xingjun Luo
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Convergence Rates for Projective Splitting [PDF]
SIAM Journal on Optimization, 2019 This version adds references to the extragradient ...
Johnstone, Patrick R. +1 more
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On the convergence rates of pairs of adjacent sequences
Journal of Numerical Analysis and Approximation Theory, 2020 In this paper we give a suitable definition for the pairs of adjacent (convergent) sequences of real numbers, we present some two-sided estimations which caracterize the order of convergence to its limits of some of these sequences and we give certain ...
Dorel I. Duca, Andrei Vernescu
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Smooth Function Approximation by Deep Neural Networks with General Activation Functions
Entropy, 2019 There has been a growing interest in expressivity of deep neural networks. However, most of the existing work about this topic focuses only on the specific activation function such as ReLU or sigmoid.
Ilsang Ohn, Yongdai Kim
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Convergence Rate Analysis [PDF]
, 2009 After showing the convergence of the two numerical methods for Frobenius-Perron operators in the previous chapter, we further investigate the convergence rate problem for them. Keller’s stochastic stability result for a class of Markov operators will be studied first, which leads to his first proof of the L1-norm convergence rate O(ln n/n) for Ulam’s ...
Jiu Ding, Aihui Zhou
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