Results 1 to 10 of about 1,649,451 (289)

Best approximation in spaces with asymmetric norm

Journal of Numerical Analysis and Approximation Theory, 2006
In this paper we shall present some results on spaces with asymmetric seminorms, with emphasis on best approximation problems in such spaces.
Ştefan Cobzaş, Costică Mustăţa
doaj   +5 more sources

L₁-Norm Robust Regularized Extreme Learning Machine with Asymmetric C-Loss for Regression

Axioms, 2023
Extreme learning machines (ELMs) have recently attracted significant attention due to their fast training speeds and good prediction effect. However, ELMs ignore the inherent distribution of the original samples, and they are prone to overfitting, which ...
Qing Wu, Fan Wang, Yu An, Ke Li
doaj   +2 more sources

Principal Component Analysis in an Asymmetric Norm [PDF]

Journal of Multivariate Analysis, 2014
31 pages, 5 ...
Ngoc Mai Tran, Maria Osipenko, Wolfgang Karl Härdle   +2 more
openaire   +5 more sources

Asymmetric Normed Baire Space [PDF]

Results in Mathematics, 2021
We prove that an asymmetric normed space is never a Baire space if the topology induced by the asymmetric norm is not equivalent to the topology of a norm. More precisely, we show that a biBanach asymmetric normed space is a Baire space if and only if it is isomorphic to its associated normed space.
Mohammed Bachir
exaly   +3 more sources

Extension of bounded linear functionals and best approximation in spaces with asymmetric norm

Journal of Numerical Analysis and Approximation Theory, 2004
The present paper is concerned with the characterization of the elements of best approximation in a subspace \(Y\) of a space with asymmetric norm, in terms of some linear functionals vanishing on \(Y\).
Ş. Cobzaş, C. Mustăţa
doaj   +4 more sources

Principal component analysis in an asymmetric norm [PDF]

Journal of Multivariate Analysis, 2019
The generalization of the PCA is proposed for quantiles and expectiles. Under the elliptically symmetric distributions it turns to the convential PCA. The proposed approach is suitable to study extremes of the multivariate data. Experiments with weather datasets illustrate the efficiency of the proposed method.
Petra Burdejova, Wolfgang K Härdle
exaly   +5 more sources

Tolerance for corruption and descriptive social norm: An experimental study of embezzlement.

PLoS ONE
Public tolerance for corruption within a society significantly influences the prevalence of corrupt practices, but less is known about how this tolerance evolves with social norms.
Sen Tian, Liangfo Zhao
doaj   +2 more sources

ASYMMETRIC INNER PRODUCT AND THE ASYMMETRIC QUASI NORM FUNCTION

Математички билтен/BULLETIN MATHÉMATIQUE DE LA SOCIÉTÉ DES MATHÉMATICIENS DE LA RÉPUBLIQUE MACÉDOINE, 2016
Stela Çeno
openaire   +2 more sources

Functional Analysis in Asymmetric Normed Spaces [PDF]

Frontiers in Mathematics, 2013
Stefan Cobzaş
exaly   +2 more sources

New Results on the Aggregation of Norms

Mathematics, 2021
It is a natural question if a Cartesian product of objects produces an object of the same type. For example, it is well known that a countable Cartesian product of metrizable topological spaces is metrizable.
Tatiana Pedraza, Jesús Rodríguez-López   +1 more
doaj   +1 more source