An Extension of the Quadratic Error Function for Learning Imprecise Data in Multivariate Nonlinear Regression
Joint Authors
Hounmenou, Castro Gbêmêmali
Gneyou, Kossi Essona
Glélé Kakaï, Romain
Source
Journal of Probability and Statistics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-29
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Multivariate noises in the learning process are most of the time supposed to follow a standard multivariate normal distribution.
This hypothesis does not often hold in many real-world situations.
In this paper, we consider an approach based on multivariate skew-normal distribution.
It allows for a multiple continuous variation from normality to nonnormality.
We give an extension of the generalized least squares error function in a context of multivariate nonlinear regression to learn imprecise data.
The simulation study and application case on real datasets conducted and based on multilayer perceptron neural networks (MLP) with bivariate continuous response and asymmetric revealed a significant gain in precision using the new quadratic error function for these types of data rather than using a classical generalized least squares error function having any covariance matrix.
American Psychological Association (APA)
Hounmenou, Castro Gbêmêmali& Gneyou, Kossi Essona& Glélé Kakaï, Romain. 2020. An Extension of the Quadratic Error Function for Learning Imprecise Data in Multivariate Nonlinear Regression. Journal of Probability and Statistics،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1190194
Modern Language Association (MLA)
Hounmenou, Castro Gbêmêmali…[et al.]. An Extension of the Quadratic Error Function for Learning Imprecise Data in Multivariate Nonlinear Regression. Journal of Probability and Statistics No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1190194
American Medical Association (AMA)
Hounmenou, Castro Gbêmêmali& Gneyou, Kossi Essona& Glélé Kakaï, Romain. An Extension of the Quadratic Error Function for Learning Imprecise Data in Multivariate Nonlinear Regression. Journal of Probability and Statistics. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1190194
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190194