Error-Tolerant Exact Query Learning of Finite Set Partitions with Same-Cluster Oracle
Data Structures and Algorithms
2023-06-21 v2 Machine Learning
Machine Learning
Abstract
This paper initiates the study of active learning for exact recovery of partitions exclusively through access to a same-cluster oracle in the presence of bounded adversarial error. We first highlight a novel connection between learning partitions and correlation clustering. Then we use this connection to build a R\'enyi-Ulam style analytical framework for this problem, and prove upper and lower bounds on its worst-case query complexity. Further, we bound the expected performance of a relevant randomized algorithm. Finally, we study the relationship between adaptivity and query complexity for this problem and related variants.
Keywords
Cite
@article{arxiv.2305.13402,
title = {Error-Tolerant Exact Query Learning of Finite Set Partitions with Same-Cluster Oracle},
author = {Adela Frances DePavia and Olga Medrano Martín del Campo and Erasmo Tani},
journal= {arXiv preprint arXiv:2305.13402},
year = {2023}
}
Comments
28 pages, 2 figures