Power Transform Revisited: Numerically Stable, and Federated

Fuente: arXiv
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Autori principali: Xu, Xuefeng, Cormode, Graham
Natura: Preprint
Pubblicazione: 2025
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author Xu, Xuefeng
Cormode, Graham
author_facet Xu, Xuefeng
Cormode, Graham
contents Power transforms are popular parametric methods for making data more Gaussian-like, and are widely used as preprocessing steps in statistical analysis and machine learning. However, we find that direct implementations of power transforms suffer from severe numerical instabilities, which can lead to incorrect results or even crashes. In this paper, we provide a comprehensive analysis of the sources of these instabilities and propose effective remedies. We further extend power transforms to the federated learning setting, addressing both numerical and distributional challenges that arise in this context. Experiments on real-world datasets demonstrate that our methods are both effective and robust, substantially improving stability compared to existing approaches.
format Preprint
id arxiv_https___arxiv_org_abs_2510_04995
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Power Transform Revisited: Numerically Stable, and Federated
Xu, Xuefeng
Cormode, Graham
Machine Learning
Numerical Analysis
Power transforms are popular parametric methods for making data more Gaussian-like, and are widely used as preprocessing steps in statistical analysis and machine learning. However, we find that direct implementations of power transforms suffer from severe numerical instabilities, which can lead to incorrect results or even crashes. In this paper, we provide a comprehensive analysis of the sources of these instabilities and propose effective remedies. We further extend power transforms to the federated learning setting, addressing both numerical and distributional challenges that arise in this context. Experiments on real-world datasets demonstrate that our methods are both effective and robust, substantially improving stability compared to existing approaches.
title Power Transform Revisited: Numerically Stable, and Federated
topic Machine Learning
Numerical Analysis
url https://arxiv.org/abs/2510.04995