Constructs the Hessian of sum of ys
with respect to x
in xs
.
tf.hessians(
ys, xs, gate_gradients=False, aggregation_method=None, name='hessians'
)
hessians()
adds ops to the graph to output the Hessian matrix of ys
with respect to xs
. It returns a list of Tensor
of length len(xs)
where each tensor is the Hessian of sum(ys)
.
The Hessian is a matrix of second-order partial derivatives of a scalar tensor (see https://en.wikipedia.org/wiki/Hessian_matrix for more details).
Args | |
---|---|
ys
|
A Tensor or list of tensors to be differentiated.
|
xs
|
A Tensor or list of tensors to be used for differentiation.
|
gate_gradients
|
See gradients() documentation for details.
|
aggregation_method
|
See gradients() documentation for details.
|
name
|
Optional name to use for grouping all the gradient ops together. defaults to 'hessians'. |
Returns | |
---|---|
A list of Hessian matrices of sum(ys) for each x in xs .
|
Raises | |
---|---|
LookupError
|
if one of the operations between xs and ys does not
have a registered gradient function.
|