[GitHub] [incubator-mxnet] anirudhacharya edited a comment on issue #11865: attach_grad of intermediate variables causes the gradient graph to be lost

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anirudhacharya edited a comment on issue #11865: attach_grad of intermediate 
variables causes the gradient graph to be lost
URL: 
https://github.com/apache/incubator-mxnet/issues/11865#issuecomment-514316936
 
 
   Here is another usecase where using `attach_grad()` with intermediate 
variables gives erroneous results - 
   
   With the following example I would expect `x.grad` to be `[10, 24, 42, 64]` 
but using head gradients and chain rule as per the [autograd 
documentation](https://www.d2l.ai/chapter_crashcourse/autograd.html#head-gradients)
 gives me `[5, 12, 21, 32]`
   
   ```python
   from mxnet import ndarray as nd
   from mxnet import autograd as ag
   x = nd.array([1,2,3,4])
   x.attach_grad()
   y = nd.array([5,6,7,8])
   y.attach_grad()
   
   ag.set_recording(True)
   u = x * y
   v = u.detach()
   v.attach_grad()
   z = v * x
   ag.set_recording(False)
   z.backward()
   u.backward(v.grad)
   print(x.grad, y.grad)
   ```
   
   But when I do it without using head gradients like as follows I get the 
correct gradients -
    
   ```python
   from mxnet import autograd as ag
   x = nd.array([1,2,3,4])
   x.attach_grad()
   y = nd.array([5,6,7,8])
   y.attach_grad()
   
   ag.set_recording(True)
   u = x * y
   z = u * x
   ag.set_recording(False)
   z.backward()
   print(x.grad, y.grad)
   ```
   

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