OneRaynyDay commented on a change in pull request #11833: [MXNET-688] Fix 
quantization divide by zero errors
URL: https://github.com/apache/incubator-mxnet/pull/11833#discussion_r203913323
 
 

 ##########
 File path: python/mxnet/contrib/quantization.py
 ##########
 @@ -303,32 +305,34 @@ def _get_optimal_threshold(arr, num_bins=8001, 
num_quantized_bins=255):
         right_outlier_count = np.sum(hist[p_bin_idx_stop:])
         p[-1] += right_outlier_count
         # is_nonzeros[k] indicates whether hist[k] is nonzero
-        is_nonzeros = (sliced_nd_hist != 0).astype(np.int32)
+        is_nonzeros = (p != 0).astype(np.int32)
 
         # calculate how many bins should be merged to generate quantized 
distribution q
-        num_merged_bins = p.size // num_quantized_bins
+        num_merged_bins = sliced_nd_hist.size // num_quantized_bins
         # merge hist into num_quantized_bins bins
         for j in range(num_quantized_bins):
             start = j * num_merged_bins
             stop = start + num_merged_bins
             quantized_bins[j] = sliced_nd_hist[start:stop].sum()
         quantized_bins[-1] += sliced_nd_hist[num_quantized_bins * 
num_merged_bins:].sum()
         # expand quantized_bins into p.size bins
-        q = np.zeros(p.size, dtype=np.float32)
+        q = np.zeros(sliced_nd_hist.size, dtype=np.float32)
         for j in range(num_quantized_bins):
             start = j * num_merged_bins
             if j == num_quantized_bins - 1:
-                stop = -1
+                stop = len(is_nonzeros)
             else:
                 stop = start + num_merged_bins
             norm = is_nonzeros[start:stop].sum()
             if norm != 0:
-                q[start:stop] = float(quantized_bins[j]) / float(norm)
-        q[sliced_nd_hist == 0] = 0
+                q[start:stop] = float(quantized_bins[j]) / 
float(num_quantized_bins)
 
 Review comment:
   Originally this was `float(norm)`, and that is not appropriate. Suppose you 
have the distribution:
   
   ```
   [0, 0, ... , 0, 1]
   ```
   
   If the `num_quantized_bins` is `3`, then you theoretically should get:
   
   ```
   [0, 0, ... , 1/3, 1/3, 1/3]
   ```
   
   instead of:
   
   ```
   [0, 0, ..., 1, 1, 1]
   ```
   
   To make this more clear, suppose your original dist is:
   
   ```
   [0, 0, 0, ... , 1/3, 1/3, 1/3]
   ```
   
   This should be equivalent after quantization as the first distribution, but 
it isn't. Under the rules, you would get the same array back, where you have 
`[..., 1/3, 1/3 ,1/3]`, and the first distribution would give you `[..., 1, 1, 
1]`, off by the multiplier.

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