Reviewer 1 Detailed comments

Neural Information Processing Systems 

We thank the reviewer for the comments. Detailed comments: I'd like to see time comparisons for training and inference GPUs/TPUs don't support these representations so this would require implementation on FPGAs which would be a In our hardware (ASIC) experiments, we've seen a Reviewer 2 Improvements: It would be helpful to clarify data formats of each step in Table 2. It would be helpful to clarify that the weight update is applied to 1/N of weights in Table 3. Author response: We thank the reviewer for the comments. Table 2 and 3 will be updated. Do the frameworks now have to support 2 more data types?

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