Assessing robustness of regularized regression models with applications

Mayooran Thevaraja, Azizur Rahman

Research output: Book chapter/Published conference paperConference paper

Abstract

In this Big-data and computational innovation era, advanced level analysis and modelling strategies are essential in data science to understanding the individual activities which occur within very complex behavioral, socio-economic and ecological systems. However, the scales at which models can be developed, and the subsequent problems they can inform, are often limited by our inability or challenges to effectively understand data that mimic interactions at the finest spatial, temporal, or organizational resolutions. Linear regression analysis is the one of the widely used methods for investigating such relationship between variables. Multicollinearity is one of the major problem in regression analysis. Multicollinearity can be reduced by using the appropriate regularized regression methods. This study aims to measure the robustness of regularized regression models such as ridge and Lasso type models designed for the high dimensional data having the multicollinearity problems. Empirical results show that Lasso and Ridge models have less residual sum of squares values. Findings also demonstrate an improved accuracy of estimated parameters on the best model.
Original languageEnglish
Title of host publicationProceedings of the Thirteenth International Conference on Management Science and Engineering Management
EditorsJiuping Xu, Syed Ejaz Ahmed, Fang Lee Cooke, Gheorghe Duca
Place of PublicationUSA
PublisherSpringer
Pages401-415
Number of pages15
Volume1
Edition1
ISBN (Electronic)9783030212483
ISBN (Print)9783030212476
DOIs
Publication statusPublished - 20 Jun 2019
Event13th International Conference on Management Science and Engineering Management: ICMSEM 2019 - Brock University, St Catharines, Canada
Duration: 05 Aug 201908 Aug 2019
http://www.icmsem.org/

Publication series

NameAdvances in Intelligent Systems and Computing
Volume1001

Conference

Conference13th International Conference on Management Science and Engineering Management
CountryCanada
CitySt Catharines
Period05/08/1908/08/19
Internet address

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