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arXiv · 2506.18615

Pr{\'e}diction optimale pour un mod{\`e}le ordinal {\`a} covariables fonctionnelles

Simón Weinberger·Jairo Cugliari·Aurélie Le Cain
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Abstract

We present a prediction framework for ordinal models: we introduce optimal predictions using loss functions and give the explicit form of the Least-Absolute-Deviation prediction for these models. Then, we reformulate an ordinal model with functional covariates to a classic ordinal model with multiple scalar covariates. We illustrate all the proposed methods and try to apply these to a dataset collected by EssilorLuxottica for the development of a control algorithm for the shade of connected glasses.

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Simón Weinberger, Jairo Cugliari, Aurélie Le Cain. 2025-06-23. Pr{\'e}diction optimale pour un mod{\`e}le ordinal {\`a} covariables fonctionnelles. https://arxiv.org/abs/2506.18615

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