TY - JOUR
T1 - A Galois Framework for the Study of Analogical Classifiers
AU - Couceiro, Miguel
AU - Lehtonen, Erkko
N1 - Funding Information:
The research work by the second named author was partially funded by national funds through the FCT – Fundação para a Ciência e a Tecnologia, I.P., under the scope of the projects PTDC/MAT-PUR/31174/2017, UIDB/00297/2020, and UIDP/00297/2020 (Center for Mathematics and Applications).
Funding Information:
The research work by the first named author was partially supported by TAILOR,a project funded by EU Horizon 2020 research and innovation program under GA No 952215, and the Inria Project Lab “Hybrid Approaches for Interpretable AI” (HyAIAI).
Publisher Copyright:
© 2022 Copyright for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).
PY - 2022
Y1 - 2022
N2 - In this paper, we survey some recent advances in the study of analogical classifiers, i.e., classifiers that are compatible with the principle of analogical inference. We will present a Galois framework induced by relation between formal models of analogy and the corresponding classes of analogy preserving functions. The usefulness these general results will be illustrated over Boolean domains, which explicitly present the Galois closed sets of analogical classifiers for different pairs of formal models of Boolean analogies.
AB - In this paper, we survey some recent advances in the study of analogical classifiers, i.e., classifiers that are compatible with the principle of analogical inference. We will present a Galois framework induced by relation between formal models of analogy and the corresponding classes of analogy preserving functions. The usefulness these general results will be illustrated over Boolean domains, which explicitly present the Galois closed sets of analogical classifiers for different pairs of formal models of Boolean analogies.
KW - analogical classifier
KW - Analogical proportion
KW - analogical reasoning
KW - Galois theory
UR - http://www.scopus.com/inward/record.url?scp=85136191068&partnerID=8YFLogxK
M3 - Conference article
AN - SCOPUS:85136191068
SN - 1613-0073
VL - 3174
SP - 51
EP - 61
JO - CEUR Workshop Proceedings
JF - CEUR Workshop Proceedings
T2 - 1st Workshop on the Interactions between Analogical Reasoning and Machine Learning at 31st International Joint Conference on Artificial Intelligence - 25th European Conference on Artificial Intelligence, IARML@IJCAI-ECAI 2022
Y2 - 23 July 2022
ER -