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Article

Correlation Metrics for Safe Artificial Intelligence

Department of Economics and Management, University of Pavia, 27100 Pavia, Italy
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Author to whom correspondence should be addressed.
Risks 2025, 13(9), 178; https://doi.org/10.3390/risks13090178
Submission received: 18 July 2025 / Revised: 5 September 2025 / Accepted: 9 September 2025 / Published: 12 September 2025

Abstract

There is a growing need to provide AI risk management models that can assess whether AI applications are safe and trustworthy, to make them responsible. To date, there are a few research papers on this topic. To fill the gap, in this paper we extend the recently proposed SAFE framework, a comprehensive approach to measure AI risks across four key dimensions: security, accuracy, fairness, and explainability (SAFE). We contribute to the SAFE framework with a novel use of the coefficient of determination (R2) to quantify deviations from ideal behavior not only in terms of accuracy but also for security, fairness, and explainability. Our empirical findings shows the effectiveness of the proposal, which leads to a more precise measurement of risks of AI regression applications, which involve the prediction of continuous response variables.
Keywords: SAFE AI metrics; responsible AI; coefficient of determination SAFE AI metrics; responsible AI; coefficient of determination

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MDPI and ACS Style

Babaei, G.; Giudici, P. Correlation Metrics for Safe Artificial Intelligence. Risks 2025, 13, 178. https://doi.org/10.3390/risks13090178

AMA Style

Babaei G, Giudici P. Correlation Metrics for Safe Artificial Intelligence. Risks. 2025; 13(9):178. https://doi.org/10.3390/risks13090178

Chicago/Turabian Style

Babaei, Golnoosh, and Paolo Giudici. 2025. "Correlation Metrics for Safe Artificial Intelligence" Risks 13, no. 9: 178. https://doi.org/10.3390/risks13090178

APA Style

Babaei, G., & Giudici, P. (2025). Correlation Metrics for Safe Artificial Intelligence. Risks, 13(9), 178. https://doi.org/10.3390/risks13090178

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