larroy commented on a change in pull request #14779: Fully connected, higher
order grad
URL: https://github.com/apache/incubator-mxnet/pull/14779#discussion_r298756303
##########
File path: tests/python/unittest/test_higher_order_grad.py
##########
@@ -129,6 +135,83 @@ def check_second_order_unary(x, op, grad_grad_op):
# Validate the gradients.
assert_almost_equal(expected_grad_grad, x.grad.asnumpy())
+class RandomShapes(object):
+ def __init__(self, dim, startdim=1):
+ self.dim = dim
+ self.curdim = startdim
+
+ def __iter__(self):
+ return self
+
+ def next(self):
+ return self.__next__()
+
+ def __next__(self):
+ if self.curdim > self.dim:
+ raise StopIteration
+ shape = rand_shape_nd(self.curdim)
+ x = nd.random.normal(shape=shape)
+ self.curdim += 1
+ return x
+
+
+@with_seed()
+def test_dense_backward():
+ for x in RandomShapes(4,2):
+ net = gluon.nn.Sequential()
+ with net.name_scope():
+ net.add(gluon.nn.Dense(1))
+
+ net.initialize(mxnet.initializer.Constant(.5))
+ x.attach_grad()
+ with ag.record():
+ y = net.forward(x)
+ x_grad = ag.grad(heads=y, variables=x, create_graph=True,
retain_graph=True)[0]
+ x_grad.backward()
+ same(x.grad, nd.zeros(4))
+
+ with ag.record():
+ y = net.forward(x)
+ x_grad = ag.grad(heads=y, variables=x, create_graph=True,
retain_graph=True)[0]
+ random_multiplier = nd.random.uniform_like(x_grad)
+ z = (random_multiplier * x_grad).sum()
+ z.backward()
+ same(x.grad, nd.zeros(4))
+
+ with ag.record():
Review comment:
numerical gradient, changing w and verifying that the first gradient changes
but not the second one.
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