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Publikationstyp: Beitrag in wissenschaftlicher Zeitschrift
Art der Begutachtung: Peer review (Publikation)
Titel: A model-agnostic algorithm for Bayes error determination in binary classification
Autor/-in: Michelucci, Umberto
Sperti, Michela
Piga, Dario
Venturini, Francesca
Deriu, Marco A.
et. al: No
DOI: 10.3390/a14110301
10.21256/zhaw-23849
Erschienen in: Algorithms
Band(Heft): 14
Heft: 11
Seite(n): 301
Erscheinungsdatum: Okt-2021
Verlag / Hrsg. Institution: MDPI
ISSN: 1999-4893
Sprache: Englisch
Schlagwörter: Machine learning; Intrinsic limit; ROC curve; Binary classification; Naïve Bayes classifier
Fachgebiet (DDC): 510: Mathematik
Zusammenfassung: This paper presents the intrinsic limit determination algorithm (ILD Algorithm), a novel technique to determine the best possible performance, measured in terms of the AUC (area under the ROC curve) and accuracy, that can be obtained from a specific dataset in a binary classification problem with categorical features regardless of the model used. This limit, namely, the Bayes error, is completely independent of any model used and describes an intrinsic property of the dataset. The ILD algorithm thus provides important information regarding the prediction limits of any binary classification algorithm when applied to the considered dataset. In this paper, the algorithm is described in detail, its entire mathematical framework is presented and the pseudocode is given to facilitate its implementation. Finally, an example with a real dataset is given.
URI: https://digitalcollection.zhaw.ch/handle/11475/23849
Volltext Version: Publizierte Version
Lizenz (gemäss Verlagsvertrag): CC BY 4.0: Namensnennung 4.0 International
Departement: School of Engineering
Organisationseinheit: Institut für Angewandte Mathematik und Physik (IAMP)
Enthalten in den Sammlungen:Publikationen School of Engineering

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Michelucci, U., Sperti, M., Piga, D., Venturini, F., & Deriu, M. A. (2021). A model-agnostic algorithm for Bayes error determination in binary classification. Algorithms, 14(11), 301. https://doi.org/10.3390/a14110301
Michelucci, U. et al. (2021) ‘A model-agnostic algorithm for Bayes error determination in binary classification’, Algorithms, 14(11), p. 301. Available at: https://doi.org/10.3390/a14110301.
U. Michelucci, M. Sperti, D. Piga, F. Venturini, and M. A. Deriu, “A model-agnostic algorithm for Bayes error determination in binary classification,” Algorithms, vol. 14, no. 11, p. 301, Oct. 2021, doi: 10.3390/a14110301.
MICHELUCCI, Umberto, Michela SPERTI, Dario PIGA, Francesca VENTURINI und Marco A. DERIU, 2021. A model-agnostic algorithm for Bayes error determination in binary classification. Algorithms. Oktober 2021. Bd. 14, Nr. 11, S. 301. DOI 10.3390/a14110301
Michelucci, Umberto, Michela Sperti, Dario Piga, Francesca Venturini, and Marco A. Deriu. 2021. “A Model-Agnostic Algorithm for Bayes Error Determination in Binary Classification.” Algorithms 14 (11): 301. https://doi.org/10.3390/a14110301.
Michelucci, Umberto, et al. “A Model-Agnostic Algorithm for Bayes Error Determination in Binary Classification.” Algorithms, vol. 14, no. 11, Oct. 2021, p. 301, https://doi.org/10.3390/a14110301.


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