# NOTE: We allow Dynamo to see this file (via torch/_dynamo/skipfiles.py) so that it can # trace through `grad`. # Currently, we can't allow Dynamo to see `eager_transforms.py` as that break a lot of thing # and there isn't a mechanism to selectively expose only some functions (eg. grad) from a file # to Dynamo. from torch._functorch.eager_transforms import grad_impl, exposed_in, Callable, argnums_t import functools @exposed_in("torch.func") def grad(func: Callable, argnums: argnums_t = 0, has_aux: bool = False) -> Callable: """``grad`` operator helps computing gradients of ``func`` with respect to the input(s) specified by ``argnums``. This operator can be nested to compute higher-order gradients. Args: func (Callable): A Python function that takes one or more arguments. Must return a single-element Tensor. If specified ``has_aux`` equals ``True``, function can return a tuple of single-element Tensor and other auxiliary objects: ``(output, aux)``. argnums (int or Tuple[int]): Specifies arguments to compute gradients with respect to. ``argnums`` can be single integer or tuple of integers. Default: 0. has_aux (bool): Flag indicating that ``func`` returns a tensor and other auxiliary objects: ``(output, aux)``. Default: False. Returns: Function to compute gradients with respect to its inputs. By default, the output of the function is the gradient tensor(s) with respect to the first argument. If specified ``has_aux`` equals ``True``, tuple of gradients and output auxiliary objects is returned. If ``argnums`` is a tuple of integers, a tuple of output gradients with respect to each ``argnums`` value is returned. Example of using ``grad``: >>> # xdoctest: +SKIP >>> from torch.func import grad >>> x = torch.randn([]) >>> cos_x = grad(lambda x: torch.sin(x))(x) >>> assert torch.allclose(cos_x, x.cos()) >>> >>> # Second-order gradients >>> neg_sin_x = grad(grad(lambda x: torch.sin(x)))(x) >>> assert torch.allclose(neg_sin_x, -x.sin()) When composed with ``vmap``, ``grad`` can be used to compute per-sample-gradients: >>> # xdoctest: +SKIP >>> from torch.func import grad, vmap >>> batch_size, feature_size = 3, 5 >>> >>> def model(weights, feature_vec): >>> # Very simple linear model with activation >>> assert feature_vec.dim() == 1 >>> return feature_vec.dot(weights).relu() >>> >>> def compute_loss(weights, example, target): >>> y = model(weights, example) >>> return ((y - target) ** 2).mean() # MSELoss >>> >>> weights = torch.randn(feature_size, requires_grad=True) >>> examples = torch.randn(batch_size, feature_size) >>> targets = torch.randn(batch_size) >>> inputs = (weights, examples, targets) >>> grad_weight_per_example = vmap(grad(compute_loss), in_dims=(None, 0, 0))(*inputs) Example of using ``grad`` with ``has_aux`` and ``argnums``: >>> # xdoctest: +SKIP >>> from torch.func import grad >>> def my_loss_func(y, y_pred): >>> loss_per_sample = (0.5 * y_pred - y) ** 2 >>> loss = loss_per_sample.mean() >>> return loss, (y_pred, loss_per_sample) >>> >>> fn = grad(my_loss_func, argnums=(0, 1), has_aux=True) >>> y_true = torch.rand(4) >>> y_preds = torch.rand(4, requires_grad=True) >>> out = fn(y_true, y_preds) >>> # > output is ((grads w.r.t y_true, grads w.r.t y_preds), (y_pred, loss_per_sample)) .. note:: Using PyTorch ``torch.no_grad`` together with ``grad``. Case 1: Using ``torch.no_grad`` inside a function: >>> # xdoctest: +SKIP >>> def f(x): >>> with torch.no_grad(): >>> c = x ** 2 >>> return x - c In this case, ``grad(f)(x)`` will respect the inner ``torch.no_grad``. Case 2: Using ``grad`` inside ``torch.no_grad`` context manager: >>> # xdoctest: +SKIP >>> with torch.no_grad(): >>> grad(f)(x) In this case, ``grad`` will respect the inner ``torch.no_grad``, but not the outer one. This is because ``grad`` is a "function transform": its result should not depend on the result of a context manager outside of ``f``. """ @functools.wraps(func) def wrapper(*args, **kwargs): return grad_impl(func, argnums, has_aux, args, kwargs) return wrapper