EURO 2024 Copenhagen
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3687. On the optimization of risk scores for continuous predictors

Invited abstract in session WD-27: Machine Learning for and with Mathematical Optimization, stream Mathematical Optimization for XAI.

Wednesday, 14:30-16:00
Room: 047 (building: 208)

Authors (first author is the speaker)

1. Cristina Molero-Río
École Polytechnique
2. Claudia D'Ambrosio
LIX, CNRS - Ecole Polytechnique

Abstract

In this talk, we propose a novel Mixed-Integer Non-Linear Optimization formulation to construct a risk score. A trade-off between prediction accuracy and sparsity is sought. Previous approaches are typically designed to handle binary datasets, where numerical predictor variables are discretized in a preprocessing step by using arbitrary thresholds, such as quantiles. In contrast, we allow the model decide for each continuous predictor variable the particular threshold that is critical for prediction. The resulting optimization problem is tested in synthetic and real-world datasets.

Keywords

Status: accepted


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