Paper:
Deep neural networks (DNNs) have been shown to over-fit a dataset when being trained with noisy labels for a long enough time. To overcome this problem, we present a simple and effective method self-ensemble label filtering (SELF) to progressively filter out the wrong labels during training. Our method improves the task performance by gradually allowing supervision only from the potentially non-noisy (clean) labels and stops learning on the filtered noisy labels. For the filtering, we form running averages of predictions over the entire training dataset using the network output at different training epochs. We show that these ensemble estimates yield more accurate identification of inconsistent predictions throughout training than the single estimates of the network at the most recent training epoch. While filtered samples are removed entirely from the supervised training loss, we dynamically leverage them via semi-supervised learning in the unsupervised loss. We demonstrate the positive effect of such an approach on various image classification tasks under both symmetric and asymmetric label noise and at different noise ratios. It substantially outperforms all previous works on noise-aware learning across different datasets and can be applied to a broad set of network architectures.

Review:
--- Overall ---
This paper proposes an algorithm for learning from data with noisy labels which alternates between updating the model and removing samples that look like they have noisy labels, thereby allowing the training procedure to focus on clean samples. Overall, I found the paper very well-written, the proposed approach reasonable, and the experiments convincing. I have some questions about what assumptions are required for such a procedure to work, but in general, I think this is a strong paper.
--- Major comments ---
1. I found it somewhat unclear how large the methodological contribution was. In particular, has the approach of filtering out samples based on disagreement with predictions from the model been tried before (i.e. the primary contribution is self-ensembling)? When the proposed method includes multiple pieces (Mean teacher + iteratively creating a filtered dataset + self-ensembling), I recommend being *very* explicit about which parts are new contributions. With that said, I greatly appreciated the ablation experiments which really highlight the importance of each piece.
2. I don't feel like I have a good sense for what assumptions need to be satisfied for the proposed method to work. For example, in section 2.2 the authors say "If the noise is sufficiently random, the set of correct labels will be representative to achieve high model performance". What is meant by "sufficiently random" here? Is there a formal version of this assumption? Do any independence or positivity assumptions need to be satisfied? Most importantly, what happens when the label noise does not look like what you expect? I would love to see some experiments examining the failure modes of the algorithm. For example, what happens when label errors are concentrated in a particular region of the feature space (or just generally depend on the features)? In this case, even if the filtering procedure work perfectly, the filtered dataset will have a different feature distribution than the data distribution leading to potential covariate shift problems. If I understood the experiments correctly, the method was only tested on label-depended noise models.
3. Along the same lines: what are the necessary conditions to guarantee that this procedure converges? While the authors suggest that self-ensembling prevents samples from oscillating in and out of training set, is this a guarantee or an empirical observation? More broadly, it is not totally clear what the filtering does to the objective function or whether this procedure is even formally optimizing a well specified objective function (potentially some temperature limit of a soft-weighted objective?). 
--- Minor comments ---
1. Figures 1 and 4 are not readable in black and grey-scale.
2. I would front-load the justification for using self-ensembling. In particular, I think the two sentences starting with "When learning under label noise,..." on page 2 could be moved much earlier. 
3. I'll be interested to see what the other reviewers say, but I found Figure 2 hard to follow.
4. The formatting of Section 4.2.4 makes it a bit hard to figure out where the text starts (as opposed to the table captions).