RT info:eu-repo/semantics/article
T1 Latent variable model inversion for intervals. Application to tolerance intervals in class-modelling situations, and specification limits in process control
A1 Sánchez Pastor, Mª Sagrario
A1 Ortiz Fernández, Mª Cruz
A1 Ruiz Miguel, Santiago
A1 Valencia García, Olga
A1 Sarabia Peinador, Luis Antonio
K1 PLS
K1 LVMI
K1 Tolerance intervals
K1 Specification limits
K1 Investigación operativa
K1 Operations research
K1 Estadística matemática
K1 Mathematical statistics
AB The paper deals with the inversion of intervals when a PLS (Partial Least Squares) model is used. However, instead of discretizing the interval, it is proved that the region resulting from the inversion of a PLS model is a convex set bounded by two parallel hyperplanes, each corresponding to the direct inversion of each endpoint of the given interval.When the domain of the input variables is a convex set, any feasible solution with predictions within the interval set in the response can be obtained as a convex combination of a point on each of the two hyperplanes. In this way, the new solutions preserve the internal structure of the input variables.This methodology can be of interest in several domains where the response under study is defined in terms of an interval of admissible values, such as specifications for a product in an industrial process, or tolerance intervals for computing compliant class-models.The inversion of the corresponding fitted model defines a region in the input space (predictor variables) whose predictions fall within the specified interval. Then, estimating and exploring this region will increase the information about the problem under study.
PB Elsevier
SN 0169-7439
YR 2024
FD 2024-08
LK http://hdl.handle.net/10259/9875
UL http://hdl.handle.net/10259/9875
LA eng
DS Repositorio Institucional de la Universidad de Burgos
RD 15-ene-2025