Results 21 to 30 of about 2,730,397 (252)

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

Model Selection and Error Estimation [PDF]

Machine Learning, 2000
We study model selection strategies based on penalized empirical loss minimization. We point out a tight relationship between error estimation and data-based complexity penalization: any good error estimate may be converted into a data-based penalty function and the performance of the estimate is governed by the quality of the error estimate.
Peter L. Bartlett, Stéphane Boucheron, Gábor Lugosi   +2 more
openaire   +7 more sources

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

Estimation error of the constrained lasso [PDF]

2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2016
This paper presents a non-asymptotic upper bound for the estimation error of the constrained lasso, under the high-dimensional (n ≪ p) setting. In contrast to existing results, the error bound in this paper is sharp, is valid when the parameter to be estimated is not exactly sparse (e.g., when it is weakly sparse), and shows explicitly the effect of ...
Nissim Zerbib, Yen-Huan Li, Ya-Ping Hsieh, Volkan Cevher   +3 more
openaire   +3 more sources

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, Vicente Buendia, Javier de, Valero Sánchez, Eusebio   +2 more
openaire   +4 more sources

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, Nietlisbach, Pirmin, Reid, Jane M, Keller, Lukas F, Sardell, Rebecca J, Reid, Jane M., Marr, Amy B, Marr, Amy B., Keller, Lukas F., Sardell, Rebecca J.   +9 more
core   +1 more source

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, Rendong Zhang, Xiaohong Wen, Anpei Huang   +3 more
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, Marcello Sanguineti, Gnecco, Giorgio, Giorgio Gnecco, Gnecco, G, GNECCO, GIORGIO STEFANO, Sanguineti, Marcello, Sanguineti Marcello   +7 more
core   +1 more source

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, Oleg Pikhurko (5364929), Pikhurko, Oleg, Christoph Ortner, Bohman, Tom, Tom Bohman (5364587), Ortner, Christoph, Bartels, Sören, Fonoberova, Maria, Maria Fonoberova (5366750), Müller, Rüdiger, Sören Bartels, Yan, Jingru   +12 more
core   +1 more source

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, Ortner, Christoph, Hao Wang, Wang, Hao   +3 more
core   +1 more source