Generalized Regression with Conditional GANs

Fuente: arXiv
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Autori principali: Jobson, Deddy, Hudson, Eddy
Natura: Preprint
Pubblicazione: 2024
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author Jobson, Deddy
Hudson, Eddy
author_facet Jobson, Deddy
Hudson, Eddy
contents Regression is typically treated as a curve-fitting process where the goal is to fit a prediction function to data. With the help of conditional generative adversarial networks, we propose to solve this age-old problem in a different way; we aim to learn a prediction function whose outputs, when paired with the corresponding inputs, are indistinguishable from feature-label pairs in the training dataset. We show that this approach to regression makes fewer assumptions on the distribution of the data we are fitting to and, therefore, has better representation capabilities. We draw parallels with generalized linear models in statistics and show how our proposal serves as an extension of them to neural networks. We demonstrate the superiority of this new approach to standard regression with experiments on multiple synthetic and publicly available real-world datasets, finding encouraging results, especially with real-world heavy-tailed regression datasets. To make our work more reproducible, we release our source code. Link to repository: https://anonymous.4open.science/r/regressGAN-7B71/
format Preprint
id arxiv_https___arxiv_org_abs_2404_13500
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Generalized Regression with Conditional GANs
Jobson, Deddy
Hudson, Eddy
Machine Learning
Artificial Intelligence
Regression is typically treated as a curve-fitting process where the goal is to fit a prediction function to data. With the help of conditional generative adversarial networks, we propose to solve this age-old problem in a different way; we aim to learn a prediction function whose outputs, when paired with the corresponding inputs, are indistinguishable from feature-label pairs in the training dataset. We show that this approach to regression makes fewer assumptions on the distribution of the data we are fitting to and, therefore, has better representation capabilities. We draw parallels with generalized linear models in statistics and show how our proposal serves as an extension of them to neural networks. We demonstrate the superiority of this new approach to standard regression with experiments on multiple synthetic and publicly available real-world datasets, finding encouraging results, especially with real-world heavy-tailed regression datasets. To make our work more reproducible, we release our source code. Link to repository: https://anonymous.4open.science/r/regressGAN-7B71/
title Generalized Regression with Conditional GANs
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2404.13500