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Álvaro Méndez Civieta

Publications and source records attributed to Álvaro Méndez Civieta.

2 recordsLinked to original sources

Asgl: A Python Package for Penalized Linear and Quantile Regression

asgl is an open-source Python package that offers a robust and versatile framework for fitting a variety of regression models including linear, logistic, and, notably, quantile regression. It implements a comprehensive suite of penalization techniques such as lasso, ridge, group lasso, sparse group lasso, elastic net, and their adaptive variants. A key contribution of \pkg{asgl} is its extensive support for adaptive penalizations, critically offering a range of built-in methodologies for estimating the necessary adaptive weights as proposed by Mendez-Civieta et al. (2020). This feature addresses a significant practical challenge -- the weight estimation process -- in applying advanced adaptive methods, especially in high-dimensional settings, and is largely absent from other packages. Furthermore, asgl offers penalized quantile regression, a less commonly available feature in statistical software. The primary class, Regressor, ensures seamless integration with the scikit-learn ecosystem, facilitating straightforward model evaluation and hyperparameter optimization. asgl has demonstrated utility in variable selection and prediction tasks across both low- and high-dimensional data, positioning it as a comprehensive tool for modern statistical modeling.

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Adaptive sparse group LASSO in quantile regression

This paper studies the introduction of sparse group LASSO (SGL) to the quantile regression framework. Additionally, a more flexible version, an adaptive SGL is proposed based on the adaptive idea, this is, the usage of adaptive weights in the penalization. Adaptive estimators are usually focused on the study of the oracle property under asymptotic and double asymptotic frameworks. A key step on the demonstration of this property is to consider adaptive weights based on a initial $\sqrt{n}$-consistent estimator. In practice this implies the usage of a non penalized estimator that limits the adaptive solutions to low dimensional scenarios. In this work, several solutions, based on dimension reduction techniques PCA and PLS, are studied for the calculation of these weights in high dimensional frameworks. The benefits of this proposal are studied both in synthetic and real datasets.

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