Title: Calibrated Uncertainty Sampling for Active Learning
Primary area: alignment, fairness, safety, privacy, and societal considerations
Keywords: Active Learning, trustworthy machine learning, uncertainty estimation, calibration

Abstract: We study the problem of actively learning a classifier with a low calibration error. One of the most popular Acquisition Functions (AFs) in pool-based Active Learning (AL) is querying by the model's uncertainty. However, we recognize that an uncalibrated uncertainty model on the unlabeled pool may significantly affect the AF effectiveness, leading to sub-optimal generalization and high calibration error on unseen data. Deep Neural Networks (DNNs) make it even worse as the model uncertainty from DNN is usually uncalibrated. Therefore, we propose a new AF by estimating calibration errors and query samples with the highest calibration error before leveraging DNN uncertainty. Specifically, we utilize a kernel calibration error estimator under the covariate shift and formally show that AL with this AF eventually leads to a bounded calibration error on the unlabeled pool and unseen test data. Empirically, our proposed method surpasses other AF baselines by having a lower calibration and generalization error across pool-based AL settings.

TL;DR: We propose a new Acquisition Function by estimating calibration errors and query samples with the highest calibration error before leveraging DNN uncertainty.