tensorplay@1.0.0.dev20260909

Compute and return the sum of gradients of outputs with respect to the inputs.

grad_outputs should be a sequence of length matching output containing the “vector” in vector-Jacobian product, usually the pre-computed gradients w.r.t. each of the outputs. If an output doesn’t require_grad, then the gradient can be None).

Parameters:

• outputs (sequence of Tensor or GradientEdge) – outputs of the differentiated function.

• inputs (sequence of Tensor or GradientEdge) – Inputs w.r.t. which the gradient will be returned (and not accumulated into .grad).

• grad_outputs (sequence of Tensor) – The “vector” in the vector-Jacobian product. Usually gradients w.r.t. each output. None values can be specified for scalar Tensors or ones that don’t require grad. If a None value would be acceptable for all grad_tensors, then this argument is optional. Default: None.

• retain_graph (bool, optional) – If False, the graph used to compute the grad will be freed. Note that in nearly all cases setting this option to True is not needed and often can be worked around in a much more efficient way. Defaults to the value of create_graph.

• create_graph (bool, optional) – If True, graph of the derivative will be constructed, allowing to compute higher order derivative products. Default: False.

• allow_unused (Optional[bool], optional) – If False, specifying inputs that were not used when computing outputs (and therefore their grad is always zero) is an error. Defaults to the value of materialize_grads.

Compute the dot product between the Jacobian of the given function at the point given by the inputs and a vector v.

Parameters:

• func (function) – a Python function that takes Tensor inputs and returns a tuple of Tensors or a Tensor.

• inputs (tuple of Tensors or Tensor) – inputs to the function func.

• v (tuple of Tensors or Tensor) – The vector for which the Jacobian vector product is computed. Must be the same size as the input of func. This argument is optional when the input to func contains a single element and (if it is not provided) will be set as a Tensor containing a single 1.

• create_graph (bool, optional) – If True, both the output and result will be computed in a differentiable way. Note that when strict is False, the result can not require gradients or be disconnected from the inputs. Defaults to False.

• strict (bool, optional) – If True, an error will be raised when we detect that there exists an input such that all the outputs are independent of it. If False, we return a Tensor of zeros as the jvp for said inputs, which is the expected mathematical value. Defaults to False.

Returns:

tuple with:

func_output (tuple of Tensors or Tensor): output of func(inputs)

jvp (tuple of Tensors or Tensor): result of the dot product with the same shape as the output.

Return type:

output (tuple)

Example

>>> def exp_reducer(x):
...     return x.exp().sum(dim=1)
>>> inputs = tensorplay.rand(4, 4)
>>> v = tensorplay.ones(4, 4)
>>> jvp(exp_reducer, inputs, v)
(tensor([6.3090, 4.6742, 7.9114, 8.2106]),
 tensor([6.3090, 4.6742, 7.9114, 8.2106]))

>>> def adder(x, y):
...     return 2 * x + 3 * y
>>> inputs = (tensorplay.rand(2), tensorplay.rand(2))
>>> v = (tensorplay.ones(2), tensorplay.ones(2))
>>> jvp(adder, inputs, v)
(tensor([2.2399, 2.5005]),
 tensor([5., 5.]))

mode (str, optional): “reversed” computes the jvp via the double

backwards trick; “forward” uses native forward-mode AD kernels and propagates tangents in a single pass per op (requires func to be written with operators/methods supported by forward-mode, see tensorplay.autograd._forward). Defaults to “reversed”.