Data Transformation in the Predict-Then-Optimize Framework: Enhancing Decision Making under Uncertainty

Decision making under uncertainty is pivotal in real-world scenarios, such as selecting the shortest transportation route amidst variable traffic conditions or choosing the best investment portfolio during market fluctuations. In today’s big data age, while the predict-then-optimize framework has be...

Full description

Bibliographic Details
Main Authors: Xuecheng Tian, Yanxia Guan, Shuaian Wang
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/17/3782
_version_ 1797582142281089024
author Xuecheng Tian
Yanxia Guan
Shuaian Wang
author_facet Xuecheng Tian
Yanxia Guan
Shuaian Wang
author_sort Xuecheng Tian
collection DOAJ
description Decision making under uncertainty is pivotal in real-world scenarios, such as selecting the shortest transportation route amidst variable traffic conditions or choosing the best investment portfolio during market fluctuations. In today’s big data age, while the predict-then-optimize framework has become a standard method for tackling uncertain optimization challenges using machine learning tools, many prediction models overlook data intricacies such as outliers and heteroskedasticity. These oversights can degrade decision-making quality. To enhance predictive accuracy and consequent decision-making quality, we introduce a data transformation technique into the predict-then-optimize framework. Our approach transforms target values in linear regression, decision tree, and random forest models using a power function, aiming to boost their predictive prowess and, in turn, drive better decisions. Empirical validation on several datasets reveals marked improvements in decision tree and random forest models. In contrast, the benefits of linear regression are nuanced. Thus, while data transformation can bolster the predict-then-optimize framework, its efficacy is model-dependent. This research underscores the potential of tailoring transformation techniques for specific models to foster reliable and robust decision-making under uncertainty.
first_indexed 2024-03-10T23:17:43Z
format Article
id doaj.art-c6298a77174b4dc4b886819db313fbef
institution Directory Open Access Journal
issn 2227-7390
language English
last_indexed 2024-03-10T23:17:43Z
publishDate 2023-09-01
publisher MDPI AG
record_format Article
series Mathematics
spelling doaj.art-c6298a77174b4dc4b886819db313fbef2023-11-19T08:32:04ZengMDPI AGMathematics2227-73902023-09-011117378210.3390/math11173782Data Transformation in the Predict-Then-Optimize Framework: Enhancing Decision Making under UncertaintyXuecheng Tian0Yanxia Guan1Shuaian Wang2Department of Logistics and Maritime Studies, The Hong Kong Polytechnic University, Hung Hom, Hong KongDepartment of Logistics and Maritime Studies, The Hong Kong Polytechnic University, Hung Hom, Hong KongDepartment of Logistics and Maritime Studies, The Hong Kong Polytechnic University, Hung Hom, Hong KongDecision making under uncertainty is pivotal in real-world scenarios, such as selecting the shortest transportation route amidst variable traffic conditions or choosing the best investment portfolio during market fluctuations. In today’s big data age, while the predict-then-optimize framework has become a standard method for tackling uncertain optimization challenges using machine learning tools, many prediction models overlook data intricacies such as outliers and heteroskedasticity. These oversights can degrade decision-making quality. To enhance predictive accuracy and consequent decision-making quality, we introduce a data transformation technique into the predict-then-optimize framework. Our approach transforms target values in linear regression, decision tree, and random forest models using a power function, aiming to boost their predictive prowess and, in turn, drive better decisions. Empirical validation on several datasets reveals marked improvements in decision tree and random forest models. In contrast, the benefits of linear regression are nuanced. Thus, while data transformation can bolster the predict-then-optimize framework, its efficacy is model-dependent. This research underscores the potential of tailoring transformation techniques for specific models to foster reliable and robust decision-making under uncertainty.https://www.mdpi.com/2227-7390/11/17/3782uncertain decision makingpredict-then-optimizedata transformationdata-driven optimization
spellingShingle Xuecheng Tian
Yanxia Guan
Shuaian Wang
Data Transformation in the Predict-Then-Optimize Framework: Enhancing Decision Making under Uncertainty
Mathematics
uncertain decision making
predict-then-optimize
data transformation
data-driven optimization
title Data Transformation in the Predict-Then-Optimize Framework: Enhancing Decision Making under Uncertainty
title_full Data Transformation in the Predict-Then-Optimize Framework: Enhancing Decision Making under Uncertainty
title_fullStr Data Transformation in the Predict-Then-Optimize Framework: Enhancing Decision Making under Uncertainty
title_full_unstemmed Data Transformation in the Predict-Then-Optimize Framework: Enhancing Decision Making under Uncertainty
title_short Data Transformation in the Predict-Then-Optimize Framework: Enhancing Decision Making under Uncertainty
title_sort data transformation in the predict then optimize framework enhancing decision making under uncertainty
topic uncertain decision making
predict-then-optimize
data transformation
data-driven optimization
url https://www.mdpi.com/2227-7390/11/17/3782
work_keys_str_mv AT xuechengtian datatransformationinthepredictthenoptimizeframeworkenhancingdecisionmakingunderuncertainty
AT yanxiaguan datatransformationinthepredictthenoptimizeframeworkenhancingdecisionmakingunderuncertainty
AT shuaianwang datatransformationinthepredictthenoptimizeframeworkenhancingdecisionmakingunderuncertainty