Ridge regression and its applications in genetic studies

M Arashi, M Roozbeh, NA Hamzah, M Gasparini - Plos one, 2021 - journals.plos.org
With the advancement of technology, analysis of large-scale data of gene expression is
feasible and has become very popular in the era of machine learning. This paper develops …

Optimal QR-based estimation in partially linear regression models with correlated errors using GCV criterion

M Roozbeh - Computational Statistics & Data Analysis, 2018 - Elsevier
Multicollinearity among the predictor variables is a serious problem in regression analysis.
There are some classes of biased estimators for solving the problem in statistical literature …

Generalized cross-validation for simultaneous optimization of tuning parameters in ridge regression

M Roozbeh, M Arashi, NA Hamzah - Iranian Journal of Science and …, 2020 - Springer
When multicollinearity exists in the context of robust regression, ridge rank regression
estimator can be used as an alternative to the rank estimator. Performance of the ridge rank …

[BOOK][B] Post-shrinkage strategies in statistical and machine learning for high dimensional data

SE Ahmed, F Ahmed, B Yüzbaşı - 2023 - taylorfrancis.com
This book presents some post-estimation and predictions strategies for the host of useful
statistical models with applications in data science. It combines statistical learning and …

[HTML][HTML] Ridge estimation in semi-parametric regression models under the stochastic restriction and correlated elliptically contoured errors

M Roozbeh, G Hesamian, MG Akbari - Journal of Computational and …, 2020 - Elsevier
Some linear stochastic constraints may occur during real data set modeling, based on either
additional information or prior knowledge. These stochastic constraints often cause some …

Improved high-dimensional regression models with matrix approximations applied to the comparative case studies with support vector machines

M Roozbeh, S Babaie-Kafaki… - Optimization Methods and …, 2022 - Taylor & Francis
Nowadays, high-dimensional data appear in many practical applications such as
biosciences. In the regression analysis literature, the well-known ordinary least-squares …

Two penalized mixed–integer nonlinear programming approaches to tackle multicollinearity and outliers effects in linear regression models.

M Roozbeh, S Babaie–Kafaki… - Journal of Industrial & …, 2021 - search.ebscohost.com
In classical regression analysis, the ordinary least–squares estimation is the best strategy
when the essential assumptions such as normality and independency to the error terms as …

A heuristic approach to combat multicollinearity in least trimmed squares regression analysis

M Roozbeh, S Babaie-Kafaki, AN Sadigh - Applied Mathematical Modelling, 2018 - Elsevier
In order to down-weight or ignore unusual data and multicollinearity effects, some alternative
robust estimators are introduced. Firstly, a ridge least trimmed squares approach is …

A robust counterpart approach for the ridge estimator to tackle outlier effect in restricted multicollinear regression models

M Roozbeh, M Maanavi… - Journal of Statistical …, 2024 - Taylor & Francis
In statistics, regression analysis is a method for predicting a target variable by establishing
the optimal linear relationship between the dependent and independent variables. The …

Evolutionary computing enriched ridge regression model for craniofacial reconstruction

RF Mansour - Multimedia Tools and Applications, 2020 - Springer
Craniofacial reconstruction is one of the dominating research domains having vital
significance towards forensic purposes as well as archaeological investigation needs. With …