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tf.hessians

TensorFlow 1 version View source on GitHub

Constructs the Hessian of sum of ys with respect to x in xs.

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).

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.

A list of Hessian matrices of sum(ys) for each x in xs.

LookupError if one of the operations between xs and ys does not have a registered gradient function.