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Post-processing for Fair Regression via Explainable SVD

Published: April 4, 2025 | arXiv ID: 2504.03093v1

By: Zhiqun Zuo, Ding Zhu, Mohammad Mahdi Khalili

Potential Business Impact:

Makes computer predictions fair for everyone.

Business Areas:
Predictive Analytics Artificial Intelligence, Data and Analytics, Software

This paper presents a post-processing algorithm for training fair neural network regression models that satisfy statistical parity, utilizing an explainable singular value decomposition (SVD) of the weight matrix. We propose a linear transformation of the weight matrix, whereby the singular values derived from the SVD of the transformed matrix directly correspond to the differences in the first and second moments of the output distributions across two groups. Consequently, we can convert the fairness constraints into constraints on the singular values. We analytically solve the problem of finding the optimal weights under these constraints. Experimental validation on various datasets demonstrates that our method achieves a similar or superior fairness-accuracy trade-off compared to the baselines without using the sensitive attribute at the inference time.

Repos / Data Links

Page Count
17 pages

Category
Computer Science:
Machine Learning (CS)