Paper:
Existing neural architecture search (NAS) methods explore a limited featuretransformation-only search space, ignoring other advanced feature operations such as feature self-calibration by attention and dynamic convolutions. This disables the NAS algorithms to discover more advanced network architectures. We address this limitation by additionally exploiting feature self-calibration operations, resulting in a heterogeneous search space. To solve the challenges of operation heterogeneity and significantly larger search space, we formulate a neural operator search (NOS) method. NOS presents a novel heterogeneous residual block for integrating the heterogeneous operations in a unified structure, and an attention guided search strategy for facilitating the search process over a vast space. Extensive experiments show that NOS can search novel cell architectures with highly competitive performance on the CIFAR and ImageNet benchmarks.

Review:
Summary:
Often in (neural architecture search) NAS papers on vision datasets, only feature transform operations (e.g. convolution, pooling, etc) are considered while operations like attention and dynamic convolution are left out. These operations have shown increasing performance improvements across many domains and datasets. This paper attempts to incorporate these operations into the search space of NAS.
Specifically they design a new cell (residual block in a resnet backbone) which contains these operations (traditionally used feature transforms, attention, and dynamic convolutions). This new cell contains two-tiers. The first tier separately computes the three kinds of operations and combines the results via elementwise summation to form an 'intermediate calibrated tensor'. This is then fed to the second tier where again the three kinds of operations are performed on them and they net output is again formed via elementwise summation. 
For the search algorithm the authors use the bilevel optimization of DARTS. The one difference to aid in the search is that an 'attention-guided' transfer mechanism is used where a teacher network trained on the larger dataset (like ImageNet) is used to align the intermediate activations of the proxy network found during search, by adding a alignment loss function. 
Results of search with this new search space on cifar10 and transfer to cifar100, imagenet are presented. It is found via manual ablation in resnet backbone that dilated dynamic convolutions dont help and are dropped from the search space. 
The numerical results are near state-of-the-art although as is pervasive in the NAS field actual fair comparisons between methods are hard to get due to differences in search space, hardware space, stochasticity in training etc. But the authors do a best-attempt and have included random search and best and average performances so that is good. 
Comments:
- The paper is generally well-written and easy to understand (thanks!)
- Experiments are generally thorough. 
- The main novelty is the design of the cell such that attention and dynamic convolution operations can be incorporated. I was hoping that the results in terms of error would be much better due to the more expressive search space but they are not at the moment.
- I am curious how the attention guided alignment loss has been ablated. How do the numbers look without alignment loss keeping gpu training time constant? Basically I am trying to figure out how much is the contribution of the new search space vs. the addition of attention guided search. Do we have a negative result (an important one though) that attention and dynamic convolutions don't really help?