Paper:
In this paper, we propose a novel regularization method, RotationOut, for neural networks. Different from Dropout that handles each neuron/channel independently, RotationOut regards its input layer as an entire vector and introduces regularization by randomly rotating the vector. RotationOut can also be used in convolutional layers and recurrent layers with small modifications. We further use a noise analysis method to interpret the difference between RotationOut and Dropout in co-adaptation reduction. Using this method, we also show how to use RotationOut/Dropout together with Batch Normalization. Extensive experiments in vision and language tasks are conducted to show the effectiveness of the proposed method. Codes are available at https://github.com/ RotationOut/RotationOut.

Review:
Paper Summary: This paper proposes a novel regularization method for training neural networks. The high-level motivation is to add noise (and thus regularize) neurons in an inter-dependent fashion, unlike existing methods such as DropOut where each neuron is treated independently. The authors evaluate their approach on image and speech classification, and object recognition benchmarks. They also discuss how different regularization schemes might help reduce neuron co-adaptation.
High-level comments: I find the proposed method interesting, and I think the paper is well-written. In particular, I like the exposition of their approach, as well as the common framing of different regularization schemes (in Section 3). 
My chief concerns with the paper are:
1. The improvement over state-of-the-art, across tasks, seem marginal and largely is within the reported statistical error margins. From a practical standpoint, I think that alternatives to popular techniques like DropOut should either offer significant benefits empirically, or be computationally more feasible/simpler to implement. RotationOut does not seem to offer major benefits along either of these axes.
2. Even though I find the theoretical comparison of co-adaptation reduction in different regularization methods interesting, its significance is unclear. Based on my understanding, there is no concrete evidence that co-adaptation hampers training or generalization. Moreover, the authors also do not demonstrate that RotationOut actually decreases co-adaptation in a meaningful way---they propose a specific definition for co-adaptation but do not look at this quantity experimentally. There are a number of other proxies for mutual information in the community (such as CCA from arXiv:1806.05759) that the authors should also evaluate. 
Given that improvements over prior art are small, I think the paper would have more significance if the authors demonstrate that reducing co-adaptation is important---from the perspective of training/generalization/interpretability and that RotationOut significantly helps with this compared to state-of-the-art approaches.
Other comments:
i. The authors mention that they fix rotate all feature vectors with the same direction but different angles: is the performance actually worse if the directions are also randomized?
ii. In general, I feel the authors should substantiate the various claims they make in Section 3 with experimental evidence. For instance, the authors mention that zero-centered Dropout-a might be more compatible with BatchNorm, but provide no experimental evidence to support this claim. 
iii. How did the authors pick the hyperparameters and learning rate schedules for their experiments? These numbers do not seem standard (for instance the learning rate schedule)---did the authors grid over hyperparameters for each of the approaches? I think this is extremely important in papers which are proposing a new approach to establish a rigorous comparison to baselines.
iv. For several of the experiments, the authors report that they use RotationOut only for a few residual blocks. Do the remaining residual blocks have DropOut, or is no regularization applied to these? In the comparisons between different regularization schemes, are the regularizers applied to the same layers? For instance, in the comparison in Table 2, are all the methods applied only to Res3 and Res4?
v. For the results on COCO, is the same regularization method used even for ImageNet pre-training? For instance, does the “RetinaNet, RotationOut + ImageNet” row apply RotationOut even during the ImageNet pre-training? It would be nice to see the results of using “RetinaNet, keep prob = 0.9, block size = 5 + ImageNet” given that “RetinaNet, keep prob = 0.9, block size = 5” performs the best among prior approaches.
Overall, I find the idea of the paper interesting, I am not convinced of its significance. In particular, I think that the improvement over state-of-the-art is marginal and it is not clear that this method actually reduces co-adaptation between neurons in practice, or more broadly, that co-adaptation is a relevant quantity in deep network training. Thus, I am recommending rejection.