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pytensor
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668a1cee
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668a1cee
authored
10月 21, 2011
作者:
Razvan Pascanu
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Added a bit more documentation about the R_op.
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doc/extending/op.txt
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@@ -162,9 +162,30 @@ following methods:
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@@ -162,9 +162,30 @@ following methods:
Optional.
Optional.
This function is needed for theano.tensor.Rop to work with this op.
This function implements the application of the R-operator on the
function represented by your op. Let assume that function is :math:`f`,
TODO: add more detail.
with input :math:`x`, applying the R-operator means computing the
Jacobian of :math:`f` and right-multiplying it by :math:`v`, the evaluation
point, namely: :math:`\frac{\partial f}{\partial x} v`.
``inputs`` are the symbolic variables corresponding to the value of
the input where you want to evaluate the jacobian, and ``eval_points``
are the symbolic variables corresponding to the value you want to
right multiply the jacobian with.
Same conventions as for the grad method hold. If your op is not
differentiable, you can return None. Note that in contrast to
the method :func:`grad`, for :func:`R_op` you need to return the
same number of outputs as there are ouputs of the op. You can think
of it in the following terms. You have all your inputs concatenated
into a single vector :math:`x`. You do the same with the evaluation
points (which are as many as inputs and of the shame shape) and obtain
another vector :math:`v`. For each output, you reshape it into a vector,
compute the jacobian of that vector with respect to :math:`x` and
multiply it by :math:`v`. As a last step you reshape each of these
vectors you obtained for each outputs (that have the same shape as
the outputs) back to their corresponding shapes and return them as the
output of the :func:`R_op` method.
.. attribute:: default_output
.. attribute:: default_output
...
...
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