Statistical Learning
Supplementary Material for " Deep Learning with Label Differential Privacy " A Missing Proofs A.1 Proof of Lemma 1 Proof of Lemma 1
RRTop-k is " -DP as desired. The training set contains 60,000 examples and the test set contains 10,000. On MNIST, Fashion MNIST, and KMNIST, we train the models with mini-batch SGD with batch size 265 and momentum 0.9. On CIFAR-10, we use batch size 512 and momentum 0.9, and train for 200 epochs. The learning rate is scheduled according to the widely used piecewise constant with linear rampup scheme.
Instance-Dependent Partial Label Learning
Most existing PLL approaches assume that the incorrect labels in each training example are randomly picked as the candidate labels. However, this assumption is not realistic since the candidate labels are always instance-dependent. In this paper, we consider instance-dependent PLL and assume that each example is associated with a latent label distribution constituted by the real number of each label, representing the degree to each label describing the feature. The incorrect label with a high degree is more likely to be annotated as the candidate label.