gradcheck(func, inputs, *, eps=1e-06, atol=1e-05, rtol=0.001, raise_exception=True, check_sparse_nnz=False, nondet_tol=0.0, check_undefined_grad=True, check_grad_dtypes=False, check_batched_grad=False, check_forward_ad=False, fast_mode=False)¶
Check gradients computed via small finite differences against analytical gradients w.r.t. tensors in
inputsthat are of floating point or complex type and with
The check between numerical and analytical gradients uses
For most of the complex functions we consider for optimization purposes, no notion of Jacobian exists. Instead, gradcheck verifies if the numerical and analytical values of the Wirtinger and Conjugate Wirtinger derivatives are consistent. Because the gradient computation is done under the assumption that the overall function has a real-valued output, we treat functions with complex output in a special way. For these functions, gradcheck is applied to two real-valued functions corresponding to taking the real components of the complex outputs for the first, and taking the imaginary components of the complex outputs for the second. For more details, check out Autograd for Complex Numbers.
The default values are designed for
inputof double precision. This check will likely fail if
inputis of less precision, e.g.,
If any checked tensor in
inputhas overlapping memory, i.e., different indices pointing to the same memory address (e.g., from
torch.expand()), this check will likely fail because the numerical gradients computed by point perturbation at such indices will change values at all other indices that share the same memory address.
func (function) – a Python function that takes Tensor inputs and returns a Tensor or a tuple of Tensors
inputs (tuple of Tensor or Tensor) – inputs to the function
eps (float, optional) – perturbation for finite differences
atol (float, optional) – absolute tolerance
rtol (float, optional) – relative tolerance
raise_exception (bool, optional) – indicating whether to raise an exception if the check fails. The exception gives more information about the exact nature of the failure. This is helpful when debugging gradchecks.
check_sparse_nnz (bool, optional) – if True, gradcheck allows for SparseTensor input, and for any SparseTensor at input, gradcheck will perform check at nnz positions only.
nondet_tol (float, optional) – tolerance for non-determinism. When running identical inputs through the differentiation, the results must either match exactly (default, 0.0) or be within this tolerance.
check_undefined_grad (bool, optional) – if True, check if undefined output grads are supported and treated as zeros, for
check_batched_grad (bool, optional) – if True, check if we can compute batched gradients using prototype vmap support. Defaults to False.
check_forward_ad (bool, optional) – if True, check that the gradients computed with forward mode AD match the numerical ones. Defaults to False.
fast_mode (bool, optional) – Fast mode for gradcheck and gradgradcheck is currently only implemented for R to R functions. If none of the inputs and outputs are complex a faster implementation of gradcheck that no longer computes the entire jacobian is run; otherwise, we fall back to the slow implementation.
True if all differences satisfy allclose condition