TY - JOUR TI - Variable selection in saturated and supersaturated designs via - minimization AU - Buccini, A. AU - De la Cruz Cabrera, O. AU - Koukouvinos, C. AU - Mitrouli, M. AU - Reichel, L. JO - COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION PY - 2021 VL - null TODO - null SP - null PB - Taylor and Francis Ltd. SN - 0361-0918 TODO - 10.1080/03610918.2021.1961151 TODO - Communication; Computer simulation; Statistics, Generalized Krylov subspaces; Large-scale problem; Minimization problems; Practical solutions; Real-world problem; Supersaturated designs; Variable selection; Variable selection problems, Regression analysis TODO - In many real world problems it is of interest to ascertain which factors are most relevant for determining a given outcome. This is the so-called variable selection problem. The present paper proposes a new regression model for its solution. We show that the proposed model satisfies continuity, sparsity, and unbiasedness properties. A generalized Krylov subspace method for the practical solution of the minimization problem involved is described. This method can be used for the solution of both small-scale and large-scale problems. Several computed examples illustrate the good performance of the proposed model. We place special focus on screening studies using saturated and supersaturated experimental designs. © 2021 Taylor & Francis Group, LLC. ER -