Cluster robust error estimates for the Rayleigh–Ritz approximation I: Estimates for invariant subspaces [PDF]
, 2006 This is the first part of a paper that deals with error estimates for the Rayleigh–Ritz approximations to the spectrum and invariant subspaces of a bounded Hermitian operator in a Hilbert or Euclidean space.
Ovtchinnikov, E.
core +1 more source
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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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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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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ADNI: Prediction error estimates. [PDF]
, 2022 ADNI: Prediction error estimates.
Justin M. Leach (12042551) +5 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
doaj +1 more source
Robust Relative Error Estimation [PDF]
Entropy, 2018 Relative error estimation has been recently used in regression analysis. A crucial issue of the existing relative error estimation procedures is that they are sensitive to outliers. To address this issue, we employ the γ -likelihood function, which is constructed through γ -cross entropy with keeping the original statistical model in use. The
Kei Hirose, Hiroki Masuda
openaire +4 more sources
Cluster robust error estimates for the Rayleigh–Ritz approximation II: Estimates for eigenvalues [PDF]
, 2005 This is the second part of a paper that deals with error estimates for the Rayleigh–Ritz approximations of the spectrum and invariant subspaces of a bounded Hermitian operator in a Hilbert or Euclidean space.
E. Ovtchinnikov, Ovtchinnikov, E.
core +1 more source
Maximum norm a posteriori error estimation for parabolic problems using elliptic reconstructions [PDF]
, 2013 A semilinear second-order parabolic equation is considered in a regular and a singularly perturbed regime. For this equation, we give computable a posteriori error estimates in the maximum norm.
NATALIA KOPTEVA (12353197) +5 more
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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
doaj +1 more source