Are Logistic Models Really Interpretable?

Fuente: arXiv
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Autores principales: Dervovic, Danial, Lécué, Freddy, Marchesotti, Nicolás, Magazzeni, Daniele
Formato: Preprint
Publicado: 2024
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author Dervovic, Danial
Lécué, Freddy
Marchesotti, Nicolás
Magazzeni, Daniele
author_facet Dervovic, Danial
Lécué, Freddy
Marchesotti, Nicolás
Magazzeni, Daniele
contents The demand for open and trustworthy AI models points towards widespread publishing of model weights. Consumers of these model weights must be able to act accordingly with the information provided. That said, one of the simplest AI classification models, Logistic Regression (LR), has an unwieldy interpretation of its model weights, with greater difficulties when extending LR to generalised additive models. In this work, we show via a User Study that skilled participants are unable to reliably reproduce the action of small LR models given the trained parameters. As an antidote to this, we define Linearised Additive Models (LAMs), an optimal piecewise linear approximation that augments any trained additive model equipped with a sigmoid link function, requiring no retraining. We argue that LAMs are more interpretable than logistic models -- survey participants are shown to solve model reasoning tasks with LAMs much more accurately than with LR given the same information. Furthermore, we show that LAMs do not suffer from large performance penalties in terms of ROC-AUC and calibration with respect to their logistic counterparts on a broad suite of public financial modelling data.
format Preprint
id arxiv_https___arxiv_org_abs_2406_13427
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Are Logistic Models Really Interpretable?
Dervovic, Danial
Lécué, Freddy
Marchesotti, Nicolás
Magazzeni, Daniele
Machine Learning
The demand for open and trustworthy AI models points towards widespread publishing of model weights. Consumers of these model weights must be able to act accordingly with the information provided. That said, one of the simplest AI classification models, Logistic Regression (LR), has an unwieldy interpretation of its model weights, with greater difficulties when extending LR to generalised additive models. In this work, we show via a User Study that skilled participants are unable to reliably reproduce the action of small LR models given the trained parameters. As an antidote to this, we define Linearised Additive Models (LAMs), an optimal piecewise linear approximation that augments any trained additive model equipped with a sigmoid link function, requiring no retraining. We argue that LAMs are more interpretable than logistic models -- survey participants are shown to solve model reasoning tasks with LAMs much more accurately than with LR given the same information. Furthermore, we show that LAMs do not suffer from large performance penalties in terms of ROC-AUC and calibration with respect to their logistic counterparts on a broad suite of public financial modelling data.
title Are Logistic Models Really Interpretable?
topic Machine Learning
url https://arxiv.org/abs/2406.13427