2026-04-19T23:48:50Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/98752025-01-14T01:05:26Zcom_10259_4249com_10259_5086com_10259_2604col_10259_4250

Sánchez Pastor, Mª Sagrario 518 600 0000-0001-7337-4773 Ortiz Fernández, Mª Cruz 406 600 0000-0002-4751-8929 Ruiz Miguel, Santiago 501 600 0000-0002-6850-1077 Valencia García, Olga 759 600 0000-0002-7105-7309 Sarabia Peinador, Luis Antonio 534 600 0000-0002-5936-7929 2025-01-13T08:00:33Z 2025-01-13T08:00:33Z 2024-08 0169-7439 http://hdl.handle.net/10259/9875 10.1016/j.chemolab.2024.105166 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. application/pdf eng Elsevier Chemometrics and Intelligent Laboratory Systems. V. 251, 105166 https://doi.org/10.1016/j.chemolab.2024.105166 Atribución-NoComercial 4.0 Internacional http://creativecommons.org/licenses/by-nc/4.0/ info:eu-repo/semantics/openAccess PLS LVMI Tolerance intervals Specification limits Investigación operativa Estadística matemática Operations research Mathematical statistics Latent variable model inversion for intervals. Application to tolerance intervals in class-modelling situations, and specification limits in process control info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Chemometrics and Intelligent Laboratory Systems 251 105166 THUMBNAIL Sanchez-cils_2024.pdf.jpg Sanchez-cils_2024.pdf.jpg IM Thumbnail image/jpeg 4903 https://riubu.ubu.es/bitstream/10259/9875/4/Sanchez-cils_2024.pdf.jpg 903542a0b3698b0d6541cb0eb0f4a17f MD5 4 LICENSE license.txt license.txt text/plain; charset=utf-8 998 https://riubu.ubu.es/bitstream/10259/9875/3/license.txt aa90105e1c90a1b4fe810649aa967b7d MD5 3 CC-LICENSE license_rdf license_rdf application/rdf+xml; charset=utf-8 914 https://riubu.ubu.es/bitstream/10259/9875/2/license_rdf 24013099e9e6abb1575dc6ce0855efd5 MD5 2 ORIGINAL Sanchez-cils_2024.pdf Sanchez-cils_2024.pdf application/pdf 6585302 https://riubu.ubu.es/bitstream/10259/9875/1/Sanchez-cils_2024.pdf 884a6f57b52a121507bf65ce40f167b9 MD5 1 10259/9875 oai:riubu.ubu.es:10259/9875 2025-01-14 02:05:26.794 Repositorio Institucional de la Universidad de Burgos bubrep@ubu.es RWwgYXV0b3IgY29tbyDDum5pY28gdGl0dWxhciBkZSBsb3MgZGVyZWNob3MgZGUgcHJvcGllZGFkIGludGVsZWN0dWFsIGRlIGxhIG9icmEsIG8gZGlzcG9uaWVuZG8gZGUgbG9zIGRlYmlkb3MgcGVybWlzb3MgZGUgbG9zIG90cm9zIHRpdHVsYXJlcywgc2kgbG9zIGh1YmllcmEsIHkgZW4gdmlydHVkIGRlIGxvcyBkZXJlY2hvcyBxdWUgbGUgY29uZmllcmUgbGEgbGVnaXNsYWNpw7NuIHZpZ2VudGUgc29icmUgcHJvcGllZGFkIGludGVsZWN0dWFsIHkgZGVyZWNob3MgZGUgYXV0b3IsIA0KQVVUT1JJWkEgYSBsYSBVbml2ZXJzaWRhZCBkZSBCdXJnb3MgYSBkaWZ1bmRpciwgZGUgbWFuZXJhIGdyYXR1aXRhLCBlbCBjb250ZW5pZG8gZGUgbG9zIGFyY2hpdm9zIGRpZ2l0YWxlcyBxdWUgY29ycmVzcG9uZGVuIGFsIGRvY3VtZW50byBkZXNjcml0byBhbnRlcmlvcm1lbnRlLCBjb24gY2Fyw6FjdGVyIG5vIGV4Y2x1c2l2byB5IGRlIG1hbmVyYSBww7pibGljYSBlbiBhY2Nlc28gYWJpZXJ0byBhIHRyYXbDqXMgZGUgSW50ZXJuZXQsIHBhcmEgbG8gcXVlIGxhIEJpYmxpb3RlY2EgcHJvY2VkZXLDoSBhIGFyY2hpdmFybG9zIGVuIGVsIFJlcG9zaXRvcmlvIEluc3RpdHVjaW9uYWwuIEFzaW1pc21vIGF1dG9yaXphIGEgbGEgVW5pdmVyc2lkYWQgZGUgQnVyZ29zIGEgcmVhbGl6YXIgbGFzIHRyYW5zZm9ybWFjaW9uZXMgbmVjZXNhcmlhcyBkZSBmb3JtYXRvLCBubyBkZSBjb250ZW5pZG8sIHBhcmEgZ2FyYW50aXphciBsYSBwcmVzZXJ2YWNpw7NuIHkgZWwgYWNjZXNvIGVuIGVsIGZ1dHVyby4NCg0KRWwgYXV0b3IgZGlzcG9uZSwgZW4gdG9kbyBjYXNvLCBkZWwgZGVyZWNobyBhIHJldm9jYXIgZXN0YSBhdXRvcml6YWNpw7NuLg0KDQpMYSBjZXNpw7NuIGRlIGRlcmVjaG9zIGRlIGVzdGEgb2JyYSBzZSBlbmN1ZW50cmEgc3VqZXRhIGEgbGEgbGVnaXNsYWNpw7NuIHZpZ2VudGUgc29icmUgcHJvcGllZGFkIGludGVsZWN0dWFsIHkgZGVyZWNob3MgZGUgYXV0b3I=