.. role:: hidden :class: hidden-section Automatic differentiation package - torch.autograd ================================================== .. automodule:: torch.autograd .. currentmodule:: torch.autograd .. autosummary:: :toctree: generated :nosignatures: backward grad .. _forward-mode-ad: Forward-mode Automatic Differentiation ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ .. warning:: This API is in beta. Even though the function signatures are very unlikely to change, improved operator coverage is planned before we consider this stable. Please see the `forward-mode AD tutorial `__ for detailed steps on how to use this API. .. autosummary:: :toctree: generated :nosignatures: forward_ad.dual_level forward_ad.make_dual forward_ad.unpack_dual .. _functional-api: Functional higher level API ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ .. warning:: This API is in beta. Even though the function signatures are very unlikely to change, major improvements to performances are planned before we consider this stable. This section contains the higher level API for the autograd that builds on the basic API above and allows you to compute jacobians, hessians, etc. This API works with user-provided functions that take only Tensors as input and return only Tensors. If your function takes other arguments that are not Tensors or Tensors that don't have requires_grad set, you can use a lambda to capture them. For example, for a function ``f`` that takes three inputs, a Tensor for which we want the jacobian, another tensor that should be considered constant and a boolean flag as ``f(input, constant, flag=flag)`` you can use it as ``functional.jacobian(lambda x: f(x, constant, flag=flag), input)``. .. autosummary:: :toctree: generated :nosignatures: functional.jacobian functional.hessian functional.vjp functional.jvp functional.vhp functional.hvp .. _locally-disable-grad: Locally disabling gradient computation ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ See :ref:`locally-disable-grad-doc` for more information on the differences between no-grad and inference mode as well as other related mechanisms that may be confused with the two. Also see :ref:`torch-rst-local-disable-grad` for a list of functions that can be used to locally disable gradients. .. _default-grad-layouts: Default gradient layouts ^^^^^^^^^^^^^^^^^^^^^^^^ When a non-sparse ``param`` receives a non-sparse gradient during :func:`torch.autograd.backward` or :func:`torch.Tensor.backward` ``param.grad`` is accumulated as follows. If ``param.grad`` is initially ``None``: 1. If ``param``'s memory is non-overlapping and dense, ``.grad`` is created with strides matching ``param`` (thus matching ``param``'s layout). 2. Otherwise, ``.grad`` is created with rowmajor-contiguous strides. If ``param`` already has a non-sparse ``.grad`` attribute: 3. If ``create_graph=False``, ``backward()`` accumulates into ``.grad`` in-place, which preserves its strides. 4. If ``create_graph=True``, ``backward()`` replaces ``.grad`` with a new tensor ``.grad + new grad``, which attempts (but does not guarantee) matching the preexisting ``.grad``'s strides. The default behavior (letting ``.grad``\ s be ``None`` before the first ``backward()``, such that their layout is created according to 1 or 2, and retained over time according to 3 or 4) is recommended for best performance. Calls to ``model.zero_grad()`` or ``optimizer.zero_grad()`` will not affect ``.grad`` layouts. In fact, resetting all ``.grad``\ s to ``None`` before each accumulation phase, e.g.:: for iterations... ... for param in model.parameters(): param.grad = None loss.backward() such that they're recreated according to 1 or 2 every time, is a valid alternative to ``model.zero_grad()`` or ``optimizer.zero_grad()`` that may improve performance for some networks. Manual gradient layouts ----------------------- If you need manual control over ``.grad``'s strides, assign ``param.grad =`` a zeroed tensor with desired strides before the first ``backward()``, and never reset it to ``None``. 3 guarantees your layout is preserved as long as ``create_graph=False``. 4 indicates your layout is *likely* preserved even if ``create_graph=True``. In-place operations on Tensors ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ Supporting in-place operations in autograd is a hard matter, and we discourage their use in most cases. Autograd's aggressive buffer freeing and reuse makes it very efficient and there are very few occasions when in-place operations actually lower memory usage by any significant amount. Unless you're operating under heavy memory pressure, you might never need to use them. In-place correctness checks --------------------------- All :class:`Tensor` s keep track of in-place operations applied to them, and if the implementation detects that a tensor was saved for backward in one of the functions, but it was modified in-place afterwards, an error will be raised once backward pass is started. This ensures that if you're using in-place functions and not seeing any errors, you can be sure that the computed gradients are correct. Variable (deprecated) ^^^^^^^^^^^^^^^^^^^^^ .. warning:: The Variable API has been deprecated: Variables are no longer necessary to use autograd with tensors. Autograd automatically supports Tensors with ``requires_grad`` set to ``True``. Below please find a quick guide on what has changed: - ``Variable(tensor)`` and ``Variable(tensor, requires_grad)`` still work as expected, but they return Tensors instead of Variables. - ``var.data`` is the same thing as ``tensor.data``. - Methods such as ``var.backward(), var.detach(), var.register_hook()`` now work on tensors with the same method names. In addition, one can now create tensors with ``requires_grad=True`` using factory methods such as :func:`torch.randn`, :func:`torch.zeros`, :func:`torch.ones`, and others like the following: ``autograd_tensor = torch.randn((2, 3, 4), requires_grad=True)`` Tensor autograd functions ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ .. autosummary:: :nosignatures: torch.Tensor.grad torch.Tensor.requires_grad torch.Tensor.is_leaf torch.Tensor.backward torch.Tensor.detach torch.Tensor.detach_ torch.Tensor.register_hook torch.Tensor.register_post_accumulate_grad_hook torch.Tensor.retain_grad :hidden:`Function` ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ .. autoclass:: Function .. autosummary:: :toctree: generated :nosignatures: Function.forward Function.backward Function.jvp Function.vmap Context method mixins ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ When creating a new :class:`Function`, the following methods are available to `ctx`. .. autosummary:: :toctree: generated :nosignatures: function.FunctionCtx.mark_dirty function.FunctionCtx.mark_non_differentiable function.FunctionCtx.save_for_backward function.FunctionCtx.set_materialize_grads .. _grad-check: Numerical gradient checking ^^^^^^^^^^^^^^^^^^^^^^^^^^^ .. automodule:: torch.autograd.gradcheck .. currentmodule:: torch.autograd.gradcheck .. autosummary:: :toctree: generated :nosignatures: gradcheck gradgradcheck .. Just to reset the base path for the rest of this file .. currentmodule:: torch.autograd Profiler ^^^^^^^^ Autograd includes a profiler that lets you inspect the cost of different operators inside your model - both on the CPU and GPU. There are three modes implemented at the moment - CPU-only using :class:`~torch.autograd.profiler.profile`. nvprof based (registers both CPU and GPU activity) using :class:`~torch.autograd.profiler.emit_nvtx`. and vtune profiler based using :class:`~torch.autograd.profiler.emit_itt`. .. autoclass:: torch.autograd.profiler.profile .. autosummary:: :toctree: generated :nosignatures: profiler.profile.export_chrome_trace profiler.profile.key_averages profiler.profile.self_cpu_time_total profiler.profile.total_average .. autoclass:: torch.autograd.profiler.emit_nvtx .. autoclass:: torch.autograd.profiler.emit_itt .. autosummary:: :toctree: generated :nosignatures: profiler.load_nvprof Anomaly detection ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ .. autoclass:: detect_anomaly .. autoclass:: set_detect_anomaly Autograd graph ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ Autograd exposes methods that allow one to inspect the graph and interpose behavior during the backward pass. The ``grad_fn`` attribute of a :class:`torch.Tensor` holds a :class:`torch.autograd.graph.Node` if the tensor is the output of a operation that was recorded by autograd (i.e., grad_mode is enabled and at least one of the inputs required gradients), or ``None`` otherwise. .. autosummary:: :toctree: generated :nosignatures: graph.Node.name graph.Node.metadata graph.Node.next_functions graph.Node.register_hook graph.Node.register_prehook Some operations need intermediary results to be saved during the forward pass in order to execute the backward pass. These intermediary results are saved as attributes on the ``grad_fn`` and can be accessed. For example:: >>> a = torch.tensor([0., 0., 0.], requires_grad=True) >>> b = a.exp() >>> print(isinstance(b.grad_fn, torch.autograd.graph.Node)) True >>> print(dir(b.grad_fn)) ['__call__', '__class__', '__delattr__', '__dir__', '__doc__', '__eq__', '__format__', '__ge__', '__getattribute__', '__gt__', '__hash__', '__init__', '__init_subclass__', '__le__', '__lt__', '__ne__', '__new__', '__reduce__', '__reduce_ex__', '__repr__', '__setattr__', '__sizeof__', '__str__', '__subclasshook__', '_raw_saved_result', '_register_hook_dict', '_saved_result', 'metadata', 'name', 'next_functions', 'register_hook', 'register_prehook', 'requires_grad'] >>> print(torch.allclose(b.grad_fn._saved_result, b)) True You can also define how these saved tensors should be packed / unpacked using hooks. A common application is to trade compute for memory by saving those intermediary results to disk or to CPU instead of leaving them on the GPU. This is especially useful if you notice your model fits on GPU during evaluation, but not training. Also see :ref:`saved-tensors-hooks-doc`. .. autoclass:: torch.autograd.graph.saved_tensors_hooks .. autoclass:: torch.autograd.graph.save_on_cpu .. autoclass:: torch.autograd.graph.disable_saved_tensors_hooks .. autoclass:: torch.autograd.graph.register_multi_grad_hook .. autoclass:: torch.autograd.graph.allow_mutation_on_saved_tensors .. autoclass:: torch.autograd.graph.GradientEdge .. autofunction:: torch.autograd.graph.get_gradient_edge .. This module needs to be documented. Adding here in the meantime .. for tracking purposes .. py:module:: torch.autograd.anomaly_mode .. py:module:: torch.autograd.forward_ad .. py:module:: torch.autograd.function .. py:module:: torch.autograd.functional .. py:module:: torch.autograd.grad_mode .. py:module:: torch.autograd.graph .. py:module:: torch.autograd.profiler .. py:module:: torch.autograd.profiler_legacy .. py:module:: torch.autograd.profiler_util .. py:module:: torch.autograd.variable