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We propose a logistic regression model for selecting the best subset of explanatory variables under budget constraints, where the optimal subset may not always be affordable. Unlike traditional logistic regression models, which typically address model fitting and variable selection in separate steps, our proposed model integrates both steps into a single process. Computational studies on multiple datasets show that our methods are competitive and robust compared to traditional model selection techniques. Furthermore, they offer the practical advantage of selecting models subject to budget constraints on variables.
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Zhang et al. (2025) studied this question.
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