Ordinal embedding is the task of computing a meaningful multidimensional representation of objects, for which only qualitative constraints on their distance functions are known. In particular, we consider comparisons of the form ?Which object from the pair (j, k) is more similar to object i??. In this paper, we generalize this framework to the case where the ordinal constraints are not given at the level of individual points, but at the level of sets, and propose a distributional triplet embedding approach in a scalable learning framework. We show that the query complexity of our approach is on par with the single-item approach. Without having access to features of the items to be embedded, we show the applicability of our model on toy datasets for the task of reconstruction and demonstrate the validity of the obtained embeddings in experiments on synthetic and real-world datasets.
Sprache der Kurzfassung:
Englisch
Journal:
Entropy
Volume:
23
Number:
8
Erscheinungsjahr:
2021
ISSN:
1099-4300
Anzahl der Seiten:
964
Notiz zur Publikation:
Special Issue on Representation Learning: Theory, Applications and Ethical Issues
Forschungs-