Embedded Feature Selection for Robust Probability Learning Machines

Feature selection is essential for building effective machine learning models in binary classification. Eliminating unnecessary features can reduce the risk of overfitting and improve classification performance. Moreover, the data we handle always has a stochastic component, making it important to h...

Descripción completa

Detalles Bibliográficos
Autores: Carrasco, Miguel, Ivorra, Benjamín Pierre Paul, López, Julio, Ramos Del Olmo, Ángel Manuel
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/107037
Acceso en línea:https://hdl.handle.net/20.500.14352/107037
Access Level:acceso abierto
Palabra clave:Cobb-Douglas
Minimax Probability Machine
Minimum Error Minimax Probability Machine
Second-Order Cone Programming
Support Vector Machines
Feature Selection
Investigación operativa (Matemáticas)
1207.99 Otras
Descripción
Sumario:Feature selection is essential for building effective machine learning models in binary classification. Eliminating unnecessary features can reduce the risk of overfitting and improve classification performance. Moreover, the data we handle always has a stochastic component, making it important to have robust models that are insensitive to data perturbations. Although there are numerous methods and tools for feature selection, relatively few works deal with embedded feature selection performed with robust classification models. In this work, we introduce robust classifiers with integrated feature selection capabilities, utilizing probability machines based on different penalization techniques such as the L1-norm or the elastic-net, combined with a novel Direct Feature Elimination process. Numerical experiments on standard databases demonstrate the effectiveness and robustness of the proposed models in classification tasks with a reduced number of features, using original indicators.The study also discusses the trade-offs in combining different penalties to select the most relevant features while minimizing empirical risk.