tf.compat.v1.hessians
Constructs the Hessian of sum of ys with respect to x in xs.
tf.compat.v1.hessians(
ys, xs, name='hessians', colocate_gradients_with_ops=False,
gate_gradients=False, aggregation_method=None
)
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. |
name |
Optional name to use for grouping all the gradient ops together. defaults to 'hessians'. |
colocate_gradients_with_ops |
See gradients() documentation for details. |
gate_gradients |
See gradients() documentation for details. |
aggregation_method |
See gradients() documentation for details. |
| 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. |
© 2020 The TensorFlow Authors. All rights reserved.
Licensed under the Creative Commons Attribution License 3.0.
Code samples licensed under the Apache 2.0 License.
https://www.tensorflow.org/versions/r2.3/api_docs/python/tf/compat/v1/hessians