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Summary of Tukey G-and-h Neural Network Regression For Non-gaussian Data, by Arthur P. Guillaumin et al.


Tukey g-and-h neural network regression for non-Gaussian data

by Arthur P. Guillaumin, Natalia Efremova

First submitted to arxiv on: 12 Nov 2024

Categories

  • Main: Machine Learning (stat.ML)
  • Secondary: Machine Learning (cs.LG)

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
This paper addresses non-Gaussian regression with neural networks by using the Tukey g-and-h transform, a flexible parametric transform that can introduce both skewness and kurtosis to a standard normal random variable. The authors demonstrate the efficiency of their procedure in simulated examples and apply it to a real-world dataset of global crop yield for several types of crops. They also show how to carry out a goodness-of-fit analysis between the predicted distributions and test data. The method is implemented using Pytorch and made available on Github and as a Pypi package.
Low GrooveSquid.com (original content) Low Difficulty Summary
This paper uses neural networks to predict the parameters of a special kind of distribution called Tukey g-and-h distribution. This distribution can have different shapes, like being skewed or heavy-tailed. The authors show how their method works in simulations and with real data about crop yields from around the world. They also explain how they check if their predictions are good fits to the actual data.

Keywords

* Artificial intelligence  * Regression