Paper:
Reduced precision computation is one of the key areas addressing the widening 'compute gap', driven by an exponential growth in deep learning applications. In recent years, deep neural network training has largely migrated to 16-bit precision, with significant gains in performance and energy efficiency. However, attempts to train DNNs at 8-bit precision have met with significant challenges, because of the higher precision and dynamic range requirements of back-propagation. In this paper, we propose a method to train deep neural networks using 8-bit floating point representation for weights, activations, errors, and gradients. We demonstrate state-of-the-art accuracy across multiple data sets (imagenet-1K, WMT16) and a broader set of workloads (Resnet-18/34/50, GNMT, and Transformer) than previously reported. We propose an enhanced loss scaling method to augment the reduced subnormal range of 8-bit floating point, to improve error propagation. We also examine the impact of quantization noise on generalization, and propose a stochastic rounding technique to address gradient noise. As a result of applying all these techniques, our models generalize as well as the full precision models, and achieve baseline accuracy.

Review:
This paper is about training deep models with 8-bit floating point numbers. The authors use an enhanced loss scaling method and stochastic rounding method to stabilize training. They do experiments on image classification and NLP tasks.
The paper is clearly written. However, I don’t think this paper passes the bar of ICLR. This paper lacks innovation and insightful analysis.
1.Sec. 3.1 proposes enhanced loss scaling. Loss scaling is a heuristic to train low-precision neural networks. The authors train 8-bit GNMT with a changing scaling factor. However, this looks like some manually tuned result for GNMT only. I doubt if this generalizes to other models. Besides, there is no equation or algorithm flowchart to demonstrate their method. It’s not very readable.
2.The logic of Sec. 3.2 is quite confusing. The authors first empirically show that the performance of ResNet-50 significantly drops with 8-bit training. Then they show the sum of the square of the weights in ResNet-50 is high at the beginning. With this observation, they claim it demonstrates the drawback of ‘rounding-to-nearest-even’. I cannot see the connection between the norm of weights and the rounding technique. Moreover, the stochastic rounding has already been used in 8-bit training.[1]
3.The setting in the experiment section is not stated clearly. For example, what’s the hyper-parameter for loss scaling? Another question is the gradient. In Sec. 3, just above Fig. 1, the authors claim the weight update is performed in full-precision. In contrast, they claim the gradient is 8-bit in table 3. If the update is full-precision, [2] is an important baseline. 
Small suggestions:
1.For Fig. 6, I suggest the authors to smooth the loss curves to avoid overlap of two curves.   
2.There are two ‘with’s in the last paragraph of page 7.
Reference:
[1]Wang N, Choi J, Brand D, et al. Training deep neural networks with 8-bit floating point numbers[C]//Advances in neural information processing systems. 2018: 7675-7684.
[2]Banner R, Hubara I, Hoffer E, et al. Scalable methods for 8-bit training of neural networks[C]//Advances in Neural Information Processing Systems. 2018: 5145-5153.