An Extension of the Quadratic Error Function for Learning Imprecise Data in Multivariate Nonlinear Regression

المؤلفون المشاركون

Hounmenou, Castro Gbêmêmali
Gneyou, Kossi Essona
Glélé Kakaï, Romain

المصدر

Journal of Probability and Statistics

العدد

المجلد 2020، العدد 2020 (31 ديسمبر/كانون الأول 2020)، ص ص. 1-9، 9ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2020-07-29

دولة النشر

مصر

عدد الصفحات

9

التخصصات الرئيسية

الرياضيات

الملخص 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.

نمط استشهاد جمعية علماء النفس الأمريكية (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

نمط استشهاد الجمعية الأمريكية للغات الحديثة (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

نمط استشهاد الجمعية الطبية الأمريكية (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

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1190194