The aim of this article is to study the relationship between two popular Cautious Learning approaches, namely: Three-way decision (TWD) and conformal prediction (CP). Based on the novel proposal of a technique to transform three-way decision classifiers into conformal predictors, and vice versa, we provide conditions for the equivalence between TWD and CP. These theoretical results provide error-bound guarantees for TWD, together with a formal construction to define cost-sensitive cautious classifiers based on CP. The proposed techniques are then applied and evaluated on a collection of benchmark and real-world datasets. The results of the experiments show that the proposed techniques can be used to obtain cautious learning classifiers that are competitive with, and often out-perform, state-of-the-art approaches. Further, through a qualitative medical case study we discuss the usefulness of cautious learning in the development of robust Machine Learning.

Campagner, A., Cabitza, F., Berjano, P., Ciucci, D. (2021). Three-way decision and conformal prediction: Isomorphisms, differences and theoretical properties of cautious learning approaches. INFORMATION SCIENCES, 579(November 2021), 347-367 [10.1016/j.ins.2021.08.009].

Three-way decision and conformal prediction: Isomorphisms, differences and theoretical properties of cautious learning approaches

Campagner A.
;
Cabitza F.;Ciucci D.
2021

Abstract

The aim of this article is to study the relationship between two popular Cautious Learning approaches, namely: Three-way decision (TWD) and conformal prediction (CP). Based on the novel proposal of a technique to transform three-way decision classifiers into conformal predictors, and vice versa, we provide conditions for the equivalence between TWD and CP. These theoretical results provide error-bound guarantees for TWD, together with a formal construction to define cost-sensitive cautious classifiers based on CP. The proposed techniques are then applied and evaluated on a collection of benchmark and real-world datasets. The results of the experiments show that the proposed techniques can be used to obtain cautious learning classifiers that are competitive with, and often out-perform, state-of-the-art approaches. Further, through a qualitative medical case study we discuss the usefulness of cautious learning in the development of robust Machine Learning.
Articolo in rivista - Articolo scientifico
Cautious learning; Conformal prediction; Decision support; Set-valued prediction; Three-way decision;
English
4-ago-2021
2021
579
November 2021
347
367
open
Campagner, A., Cabitza, F., Berjano, P., Ciucci, D. (2021). Three-way decision and conformal prediction: Isomorphisms, differences and theoretical properties of cautious learning approaches. INFORMATION SCIENCES, 579(November 2021), 347-367 [10.1016/j.ins.2021.08.009].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/324831
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