Paper:
Deep neural networks provide state-of-the-art performance for many applications of interest. Unfortunately they are known to be vulnerable to adversarial examples, formed by applying small but malicious perturbations to the original inputs. Moreover, the perturbations can transfer across models: adversarial examples generated for a specific model will often mislead other unseen models. Consequently the adversary can leverage it to attack against the deployed black-box systems. In this work, we demonstrate that the adversarial perturbation can be decomposed into two components: model-specific and data-dependent one, and it is the latter that mainly contributes to the transferability. Motivated by this understanding, we propose to craft adversarial examples by utilizing the noise reduced gradient (NRG) which approximates the data-dependent component. Experiments on various classification models trained on ImageNet demonstrates that the new approach enhances the transferability dramatically. We also find that low-capacity models have more powerful attack capability than high-capacity counterparts, under the condition that they have comparable test performance. These insights give rise to a principled manner to construct adversarial examples with high success rates and could potentially provide us guidance for designing effective defense approaches against black-box attacks.

Review:
This paper postulates that an adversarial perturbation consists of a model-specific and data-specific component, and that amplification of the latter is best suited for adversarial attacks.
This paper has many grammatical errors. The article is almost always missing from nouns. Some of the sentences need changing. For example:
"training model paramater"  --> "training model parameters" (assuming the neural networks have more than 1 parameter)
"same or similar dataset with" --> "same or a similar dataset to"
"human eyes" --> "the human eye"!
"in analogous to" --> "analogous to"
"start-of-the-art" --> "state-of-the-art"
Some roughly chronological comments follow:
In equation (1) although it is obvious that y is the output of f, you should define it. As you are considering the single highest-scoring class, there should probably be an argmax somewhere.
"The best metric should be human eyes, which is unfortunately difficult to quantify". I don't recommend that you quantify things in terms of eyes.
In section 3.1 I am not convinced there is yet sufficient justification to claim that grad(f||)^A is aligned with the inter-class deviation. It would be helpful to put equation (8) here. The "human" line on figure 1a doesn't make much sense. By u & v in the figure 1 caption you presumably the x and y axes on the plot. These should be labelled.
In section 4 you write "it is meaningless to construct adversarial perturbations for the images that target models cannot classify correctly". I'm not sure this is true. Imagenet has a *lot* of dog breeds. For an adversarial attack, it may be advantageous to change the classification from "wrong breed of dog" to "not a dog at all".
Something that concerns me is that, although your methods produce good results, it looks like the hyperparameters are chosen so as to overfit to the data (please do correct me if this is not the case). A better procedure would be to split the imagenet validation set in two and optimise the hyperparameters on one split, and test on the second. You also "try lots of \alphas", which again seems like overfitting.
Target attack experiments are missing from 5.1, in 5.2 you write that it is a harder problem so it is omitted. I would argue it is still worth presenting these results even if they are less flattering.
Section 6.2 feels out of place and disjointed from the narrative of the paper.
A lot of choices in Section 6 feel arbitrary. In 6.3, why is resnet34 the chosen source model? In 6.4 why do you select those two target models?
I think this paper contains an interesting idea, but suffers from poor writing and unprincipled experimentation. I therefore recommend it be rejected.
Pros:
- Promising results
- Good summary of adversarial methods
Cons:
-  Poorly written
-  Appears to overfit to the test data