Prescribing Decisions Using AI-Based Prescriptive Analytics: Procedure, Challenge, and Validation Pathways

Prescriptive analytics uses predictions to recommend decisions, but its superiority over the current approach is commonly evaluated on historical data in which only the cost of the implemented decision is observed. When a prescribed decision differs from the historical decision, its actual cost is a counterfactual outcome and is unavailable, so the conventional comparison between predicted and actual costs does not establish superiority. This study formalizes the conditions under which this fundamental challenge arises and develops a four-case classification according to the dimensions of the feature and decision spaces, the existence of an intermediate random variable vector enabling closed-form cost evaluation, and the observability of its components. Each case is assigned a validation pathway: Cases 1 and 2 permit direct prescription or evaluation from sufficient historical observations or fully observable intermediate variables; Case 3 constructs test sets with fully observable intermediate variables through restriction or sampling; Case 4 uses domain-specific explicit rules to approximate the unobservable costs of alternative decisions. The conditions under which a lower evaluated cost supports a conclusion about the actual cost ordering are established. Three freight transport examples illustrate the classification and the validation pathways.

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Publication Details

Journal
Mathematics
Published
2026-08-26
DOI
https://doi.org/10.3390/math14173064
Primary Topic
Forecasting Techniques and Applications
Type
article
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article

Prescribing Decisions Using AI-Based Prescriptive Analytics: Procedure, Challenge, and Validation Pathways

Shuaian Wang, Ran Yan, Feng Tian, Yunxiang Shu
Mathematics
Forecasting Techniques and Applications
article

Prescribing Decisions Using AI-Based Prescriptive Analytics: Procedure, Challenge, and Validation Pathways

Shuaian Wang, Ran Yan, Feng Tian, Yunxiang Shu
article en

Abstract

Prescriptive analytics uses predictions to recommend decisions, but its superiority over the current approach is commonly evaluated on historical data in which only the cost of the implemented decision is observed. When a prescribed decision differs from the historical decision, its actual cost is a counterfactual outcome and is unavailable, so the conventional comparison between predicted and actual costs does not establish superiority. This study formalizes the conditions under which this fundamental challenge arises and develops a four-case classification according to the dimensions of the feature and decision spaces, the existence of an intermediate random variable vector enabling closed-form cost evaluation, and the observability of its components. Each case is assigned a validation pathway: Cases 1 and 2 permit direct prescription or evaluation from sufficient historical observations or fully observable intermediate variables; Case 3 constructs test sets with fully observable intermediate variables through restriction or sampling; Case 4 uses domain-specific explicit rules to approximate the unobservable costs of alternative decisions. The conditions under which a lower evaluated cost supports a conclusion about the actual cost ordering are established. Three freight transport examples illustrate the classification and the validation pathways.

MathematicsVol. 14(17)
Hong Kong Polytechnic University (HK), Nanyang Technological University (SG)
Peace, Justice and strong institutions
Openalex Percentile: Top 6%
Forecasting Techniques and Applications
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Prescribing Decisions Using AI-Based Prescriptive Analytics: Procedure, Challenge, and Validation Pathways — Shuaian Wang, Ran Yan, et al. · Mathematics (2026) | TGRS Research Map | TGRS