A Power Transform

Jonathan T. Barron

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arXiv · 2502.10647

A Power Transform

Jonathan T. Barron

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Abstract

Power transforms, such as the Box-Cox transform and Tukey's ladder of powers, are a fundamental tool in mathematics and statistics. These transforms are primarily used for normalizing and standardizing datasets, effectively by raising values to a power. In this work I present a novel power transform, and I show that it serves as a unifying framework for wide family of loss functions, kernel functions, probability distributions, bump functions, and neural network activation functions.

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Jonathan T. Barron. 2025-02-15. A Power Transform. https://arxiv.org/abs/2502.10647

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