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For more information, you can go to github.com/pytorch/maskedtensor for the source code -or http://pytorch.org/maskedtensor for a number of tutorials +Motivation +---------- + +.. warning:: + + The PyTorch API of masked tensors is in the prototype stage and may or may not change in the future. + +MaskedTensor serves as an extension to :class:`torch.Tensor` that provides the user with the ability to: +- use any masked semantics (e.g. variable length tensors, nan* operators, etc.) +- differentiation between 0 and NaN gradients +- various sparse applications (see tutorial below) + +"Specified" and "unspecified" have a long history in PyTorch without formal semantics and certainly without +consistency; indeed, MaskedTensor was born out of a build up of issues that the vanilla :class:`torch.Tensor` +class could not properly address. Thus, a primary goal of MaskedTensor is to become the source of truth for +said "specified" and "unspecified" values in PyTorch where they are a first class citizen instead of an afterthought. +In turn, this should further unlock `sparsity's `_ potential, +enable safer and more consistent operators, and provide a smoother and more intuitive experience +for users and developers alike. + +What is a MaskedTensor? +----------------------- + +A MaskedTensor is a tensor subclass that consists of 1) an input (data), and 2) a mask. The mask tells us +which entries from the input should be included or ignored. + +By way of example, suppose that we wanted to mask out all values that are equal to 0 (represented by the gray) +and take the max: + +.. image:: _static/img/masked/tensor_comparison.jpg + :scale: 50% + +On top is the vanilla tensor example while the bottom is MaskedTensor where all the 0's are masked out. +This clearly yields a different result depending on whether we have the mask, but this flexible structure +allows the user to systematically ignore any elements they'd like during computation. + +There are already a number of existing tutorials that we've written to help users onboard, such as: + +- `Overview - the place to start for new users, discusses how to use MaskedTensors and why they're useful`_ +- `Sparsity - MaskedTensor supports sparse COO and CSR data and mask Tensors`_ +- `Adagrad sparse semantics - a practical example of how MaskedTensor can simplify sparse semantics and implementations`_ +- `Advanced semantics - discussion on why certain decisions were made (e.g. requiring masks to match for binary/reduction operations), + differences with NumPy's MaskedArray, and reduction semantics`_ + +.. _Overview - the place to start for new users, discusses how to use MaskedTensors and why they're useful: https://pytorch.org/tutorials/prototype/maskedtensor_overview.html/ +.. _Sparsity - MaskedTensor supports sparse COO and CSR data and mask Tensors: https://pytorch.org/tutorials/prototype/maskedtensor_sparsity.html/ +.. _Adagrad sparse semantics - a practical example of how MaskedTensor can simplify sparse semantics and implementations: https://pytorch.org/tutorials/prototype/maskedtensor_adagrad_semantics.html> +.. _Advanced semantics - discussion on why certain decisions were made (e.g. requiring masks to match for binary/reduction operations), differences with NumPy's MaskedArray, and reduction semantics: https://pytorch.org/tutorials/prototype/maskedtensor_advanced_semantics.html/ + +Supported Operators ++++++++++++++++++++ + +Unary Operators +--------------- + +Unary operators are operators that only contain only a single input. +Applying them to MaskedTensors is relatively straightforward: if the data is masked out at a given index, +we apply the operator, otherwise we'll continue to mask out the data. + +The available unary operators are: + +.. autosummary:: + :toctree: generated + :nosignatures: + + abs + absolute + acos + arccos + acosh + arccosh + angle + asin + arcsin + asinh + arcsinh + atan + arctan + atanh + arctanh + bitwise_not + ceil + clamp + clip + conj_physical + cos + cosh + deg2rad + digamma + erf + erfc + erfinv + exp + exp2 + expm1 + fix + floor + frac + lgamma + log + log10 + log1p + log2 + logit + i0 + isnan + nan_to_num + neg + negative + positive + pow + rad2deg + reciprocal + round + rsqrt + sigmoid + sign + sgn + signbit + sin + sinc + sinh + sqrt + square + tan + tanh + trunc + +The available inplace unary operators are all of the above **except**: + +.. autosummary:: + :toctree: generated + :nosignatures: + + angle + positive + signbit + isnan + +Binary Operators +---------------- + +As you may have seen in the tutorial, :class:`MaskedTensor` also has binary operations implemented with the caveat +that the masks in the two MaskedTensors must match or else an error will be raised. As noted in the error, if you +need support for a particular operator or have proposed semantics for how they should behave instead, please open +an issue on Github. For now, we have decided to go with the most conservative implementation to ensure that users +know exactly what is going on and are being intentional about their decisions with masked semantics. + +The available binary operators are: + +.. autosummary:: + :toctree: generated + :nosignatures: + + add + atan2 + arctan2 + bitwise_and + bitwise_or + bitwise_xor + bitwise_left_shift + bitwise_right_shift + div + divide + floor_divide + fmod + logaddexp + logaddexp2 + mul + multiply + nextafter + remainder + sub + subtract + true_divide + eq + ne + le + ge + greater + greater_equal + gt + less_equal + lt + less + maximum + minimum + fmax + fmin + not_equal + +The available inplace binary operators are all of the above **except**: + +.. autosummary:: + :toctree: generated + :nosignatures: + + logaddexp + logaddexp2 + equal + fmin + minimum + fmax + +Reductions +---------- + +The following reductions are available (with autograd support). For more information, the +`Overview `_ tutorial +details some examples of reductions, while the +`Advanced semantics `_ tutorial +has some further in-depth discussions about how we decided on certain reduction semantics. + +.. autosummary:: + :toctree: generated + :nosignatures: + + sum + mean + amin + amax + argmin + argmax + prod + all + norm + var + std + +View and select functions +------------------------- + +We've included a number of view and select functions as well; intuitively, these operators will apply to +both the data and the mask and then wrap the result in a :class:`MaskedTensor`. For a quick example, +consider :func:`select`: + + >>> data = torch.arange(12, dtype=torch.float).reshape(3, 4) + >>> data + tensor([[ 0., 1., 2., 3.], + [ 4., 5., 6., 7.], + [ 8., 9., 10., 11.]]) + >>> mask = torch.tensor([[True, False, False, True], [False, True, False, False], [True, True, True, True]]) + >>> mt = masked_tensor(data, mask) + >>> data.select(0, 1) + tensor([4., 5., 6., 7.]) + >>> mask.select(0, 1) + tensor([False, True, False, False]) + >>> mt.select(0, 1) + MaskedTensor( + [ --, 5.0000, --, --] + ) + +The following ops are currently supported: + +.. autosummary:: + :toctree: generated + :nosignatures: + + atleast_1d + broadcast_tensors + broadcast_to + cat + chunk + column_stack + dsplit + flatten + hsplit + hstack + kron + meshgrid + narrow + ravel + select + split + t + transpose + vsplit + vstack + Tensor.expand + Tensor.expand_as + Tensor.reshape + Tensor.reshape_as + Tensor.view