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Hauptverfasser: Enaieh, Ikhlas, Fercoq, Olivier, Ángel, García
Format: Preprint
Veröffentlicht: 2026
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Online-Zugang:https://arxiv.org/abs/2605.00889
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author Enaieh, Ikhlas
Fercoq, Olivier
Ángel, García
author_facet Enaieh, Ikhlas
Fercoq, Olivier
Ángel, García
contents We investigate the explanability properties of the recently proposed linear-min-max neural networks. At initialization, they can be interpreted as k-medoids with the infinity norm as a distance. Then, they are trained using subgradient descent to better fit the data. The model has been shown to be a universal approximator. Yet, we can trace the decision process because a single most activated neuron is responsible for the value of the output. Using this property, we designed a pixel fragility measure that determines whether changes to a single pixel may be responsible to a change in the classification output. Experiments on the PneumoniaMnist dataset show that this explanation for the output of the neural network compares favorably to SHAP and Integrated Gradient.
format Preprint
id arxiv_https___arxiv_org_abs_2605_00889
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On the explainability of max-plus neural networks
Enaieh, Ikhlas
Fercoq, Olivier
Ángel, García
Computer Vision and Pattern Recognition
Machine Learning
We investigate the explanability properties of the recently proposed linear-min-max neural networks. At initialization, they can be interpreted as k-medoids with the infinity norm as a distance. Then, they are trained using subgradient descent to better fit the data. The model has been shown to be a universal approximator. Yet, we can trace the decision process because a single most activated neuron is responsible for the value of the output. Using this property, we designed a pixel fragility measure that determines whether changes to a single pixel may be responsible to a change in the classification output. Experiments on the PneumoniaMnist dataset show that this explanation for the output of the neural network compares favorably to SHAP and Integrated Gradient.
title On the explainability of max-plus neural networks
topic Computer Vision and Pattern Recognition
Machine Learning
url https://arxiv.org/abs/2605.00889