A Power Transform
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918399364300800 |
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| author | Barron, Jonathan T. |
| author_facet | Barron, Jonathan T. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_10647 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Power Transform Barron, Jonathan T. Machine Learning Statistics Theory 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. |
| title | A Power Transform |
| topic | Machine Learning Statistics Theory |
| url | https://arxiv.org/abs/2502.10647 |