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Noise-Tolerant Interactive Learning Using Pairwise Comparisons
Yichong Xu · Hongyang Zhang · Aarti Singh · Artur Dubrawski · Kyle Miller

Mon Dec 04 06:30 PM -- 10:30 PM (PST) @ Pacific Ballroom #211

We study the problem of interactively learning a binary classifier using noisy labeling and pairwise comparison oracles, where the comparison oracle answers which one in the given two instances is more likely to be positive. Learning from such oracles has multiple applications where obtaining direct labels is harder but pairwise comparisons are easier, and the algorithm can leverage both types of oracles. In this paper, we attempt to characterize how the access to an easier comparison oracle helps in improving the label and total query complexity. We show that the comparison oracle reduces the learning problem to that of learning a threshold function. We then present an algorithm that interactively queries the label and comparison oracles and we characterize its query complexity under Tsybakov and adversarial noise conditions for the comparison and labeling oracles. Our lower bounds show that our label and total query complexity is almost optimal.

Author Information

Yichong Xu (Carnegie Mellon University)
Hongyang Zhang (Carnegie Mellon University)
Aarti Singh (Carnegie Mellon University)
Artur Dubrawski (Carnegie Mellon University)
Kyle Miller (Carnegie Mellon University)

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