Pedigree error due to extra-pair reproduction substantially biases estimates of inbreeding depression [PDF]
, 2013 Understanding the evolutionary dynamics of inbreeding and inbreeding depression requires unbiased estimation of inbreeding depression across diverse mating systems.
Arcese, Peter +9 more
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The estimation of truncation error by τ-estimation revisited [PDF]
Journal of Computational Physics, 2012 The aim of this paper was to accurately estimate the local truncation error of partial differential equations, that are numerically solved using a finite difference or finite volume approach on structured and unstructured meshes. In this work, we approximated the local truncation error using the @t-estimation procedure, which aims to compare the ...
Fraysse, François +2 more
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Robust a priori and a posteriori error analysis for the approximation of Allen–Cahn and Ginzburg–Landau equations past topological changes [PDF]
, 2010 A priori and a posteriori error estimates are derived for the numerical approximation of scalar and complex valued phase field models. Particular attention is devoted to the dependence of the estimates on a small parameter and to the validity of the ...
Rüdiger Müller +11 more
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Cardinal approximation of functions by splines on an interval
Mathematical Modelling and Analysis, 2009 The cardinal interpolant of functions on the real line by splines is determined by certain formula free of solving large or infinite systems. We apply this formula to functions given on the interval [0,1] introducing special extensions of functions from [
Gennadi Vainikko
doaj +1 more source
Estimates of the Approximation Error Using Rademacher Complexity: Learning Vector-Valued Functions [PDF]
, 2008 For certain families of multivariable vector-valued functions to be approximated, the accuracy of approximation schemes made up of linear combinations of computational units containing adjustable parameters is investigated.
Gnecco Giorgio +7 more
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Data filtering based stochastic gradient algorithms for multivariable CARAR-like systems
Mathematical Modelling and Analysis, 2013 This paper considers identification problems for a multivariable controlled autoregressive system with autoregressive noises. A hierarchical generalized stochastic gradient algorithm and a filtering based hierarchical stochastic gradient algorithm are ...
Dongqing Wang, Tong Shan, Rui Ding
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CAVEAT ON THE ERROR ANALYSIS FOR STEREOLOGICAL ESTIMATES
Image Analysis and Stereology, 2011 It is frequently asked that how big a sample size, or how much measurement, is needed to achieve an accuratestereological estimate. The observed total error of a stereological estimate arises from individual difference (i.e.
Zhengwei Yang +3 more
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A priori error estimates for energy-based quasicontinuum approximations of a periodic chain [PDF]
, 2011 We derive a priori error estimates for three prototypical energy-based quasicontinuum (QC) methods: the local QC method, the energy-based QC method, and the quasi-nonlocal QC method.
Christoph Ortner +3 more
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Accurate error estimation in CG [PDF]
Numerical Algorithms, 2021 In practical computations, the (preconditioned) conjugate gradient (P)CG method is the iterative method of choice for solving systems of linear algebraic equations $Ax=b$ with a real symmetric positive definite matrix $A$. During the iterations it is important to monitor the quality of the approximate solution $x_k$ so that the process could be stopped
Gérard Meurant, Jan Papez, Petr Tichý
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Prevalence of refractive error in Europe: the European Eye Epidemiology (E(3)) Consortium. [PDF]
, 2015 To estimate the prevalence of refractive error in adults across Europe. Refractive data (mean spherical equivalent) collected between 1990 and 2013 from fifteen population-based cohort and cross-sectional studies of the European Eye Epidemiology (E(3 ...
Cumberland, P.M. +159 more
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