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<span class="target" id="module-torch.masked"></span><span class="target" id="module-torch.masked.maskedtensor"></span><div class="section" id="torch-masked">
<span id="masked-docs"></span><h1>torch.masked<a class="headerlink" href="#torch-masked" title="Permalink to this heading">¶</a></h1>
<div class="section" id="introduction">
<h2>Introduction<a class="headerlink" href="#introduction" title="Permalink to this heading">¶</a></h2>
<div class="section" id="motivation">
<h3>Motivation<a class="headerlink" href="#motivation" title="Permalink to this heading">¶</a></h3>
<div class="admonition warning">
<p class="admonition-title">Warning</p>
<p>The PyTorch API of masked tensors is in the prototype stage and may or may not change in the future.</p>
</div>
<p>MaskedTensor serves as an extension to <a class="reference internal" href="tensors.html#torch.Tensor" title="torch.Tensor"><code class="xref py py-class docutils literal notranslate"><span class="pre">torch.Tensor</span></code></a> that provides the user with the ability to:</p>
<ul class="simple">
<li><p>use any masked semantics (e.g. variable length tensors, nan* operators, etc.)</p></li>
<li><p>differentiate between 0 and NaN gradients</p></li>
<li><p>various sparse applications (see tutorial below)</p></li>
</ul>
<p>“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 <a class="reference internal" href="tensors.html#torch.Tensor" title="torch.Tensor"><code class="xref py py-class docutils literal notranslate"><span class="pre">torch.Tensor</span></code></a>
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 <a class="reference external" href="https://pytorch.org/docs/stable/sparse.html">sparsity’s</a> potential,
enable safer and more consistent operators, and provide a smoother and more intuitive experience
for users and developers alike.</p>
</div>
<div class="section" id="what-is-a-maskedtensor">
<h3>What is a MaskedTensor?<a class="headerlink" href="#what-is-a-maskedtensor" title="Permalink to this heading">¶</a></h3>
<p>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.</p>
<p>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:</p>
<a class="reference internal image-reference" href="_images/tensor_comparison.jpg"><img alt="_images/tensor_comparison.jpg" src="_images/tensor_comparison.jpg" style="width: 762.0px; height: 540.0px;" /></a>
<p>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.</p>
<p>There are already a number of existing tutorials that we’ve written to help users onboard, such as:</p>
<ul class="simple">
<li><p><a class="reference external" href="https://pytorch.org/tutorials/prototype/maskedtensor_overview">Overview - the place to start for new users, discusses how to use MaskedTensors and why they’re useful</a></p></li>
<li><p><a class="reference external" href="https://pytorch.org/tutorials/prototype/maskedtensor_sparsity">Sparsity - MaskedTensor supports sparse COO and CSR data and mask Tensors</a></p></li>
<li><p><a class="reference external" href="https://pytorch.org/tutorials/prototype/maskedtensor_adagrad">Adagrad sparse semantics - a practical example of how MaskedTensor can simplify sparse semantics and implementations</a></p></li>
<li><p><a class="reference external" href="https://pytorch.org/tutorials/prototype/maskedtensor_advanced_semantics">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</a></p></li>
</ul>
</div>
</div>
<div class="section" id="supported-operators">
<h2>Supported Operators<a class="headerlink" href="#supported-operators" title="Permalink to this heading">¶</a></h2>
<div class="section" id="unary-operators">
<h3>Unary Operators<a class="headerlink" href="#unary-operators" title="Permalink to this heading">¶</a></h3>
<p>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.</p>
<p>The available unary operators are:</p>
<table class="autosummary longtable docutils colwidths-auto align-default">
<tbody>
<tr class="row-odd"><td><p><p id="torch.abs"/><a class="reference internal" href="generated/torch.abs.html#torch.abs" title="torch.abs"><code class="xref py py-obj docutils literal notranslate"><span class="pre">abs</span></code></a></p></td>
<td><p>Computes the absolute value of each element in <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.absolute"/><a class="reference internal" href="generated/torch.absolute.html#torch.absolute" title="torch.absolute"><code class="xref py py-obj docutils literal notranslate"><span class="pre">absolute</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="generated/torch.abs.html#torch.abs" title="torch.abs"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.abs()</span></code></a></p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.acos"/><a class="reference internal" href="generated/torch.acos.html#torch.acos" title="torch.acos"><code class="xref py py-obj docutils literal notranslate"><span class="pre">acos</span></code></a></p></td>
<td><p>Computes the inverse cosine of each element in <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.arccos"/><a class="reference internal" href="generated/torch.arccos.html#torch.arccos" title="torch.arccos"><code class="xref py py-obj docutils literal notranslate"><span class="pre">arccos</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="generated/torch.acos.html#torch.acos" title="torch.acos"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.acos()</span></code></a>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.acosh"/><a class="reference internal" href="generated/torch.acosh.html#torch.acosh" title="torch.acosh"><code class="xref py py-obj docutils literal notranslate"><span class="pre">acosh</span></code></a></p></td>
<td><p>Returns a new tensor with the inverse hyperbolic cosine of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.arccosh"/><a class="reference internal" href="generated/torch.arccosh.html#torch.arccosh" title="torch.arccosh"><code class="xref py py-obj docutils literal notranslate"><span class="pre">arccosh</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="generated/torch.acosh.html#torch.acosh" title="torch.acosh"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.acosh()</span></code></a>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.angle"/><a class="reference internal" href="generated/torch.angle.html#torch.angle" title="torch.angle"><code class="xref py py-obj docutils literal notranslate"><span class="pre">angle</span></code></a></p></td>
<td><p>Computes the element-wise angle (in radians) of the given <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> tensor.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.asin"/><a class="reference internal" href="generated/torch.asin.html#torch.asin" title="torch.asin"><code class="xref py py-obj docutils literal notranslate"><span class="pre">asin</span></code></a></p></td>
<td><p>Returns a new tensor with the arcsine of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.arcsin"/><a class="reference internal" href="generated/torch.arcsin.html#torch.arcsin" title="torch.arcsin"><code class="xref py py-obj docutils literal notranslate"><span class="pre">arcsin</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="generated/torch.asin.html#torch.asin" title="torch.asin"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.asin()</span></code></a>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.asinh"/><a class="reference internal" href="generated/torch.asinh.html#torch.asinh" title="torch.asinh"><code class="xref py py-obj docutils literal notranslate"><span class="pre">asinh</span></code></a></p></td>
<td><p>Returns a new tensor with the inverse hyperbolic sine of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.arcsinh"/><a class="reference internal" href="generated/torch.arcsinh.html#torch.arcsinh" title="torch.arcsinh"><code class="xref py py-obj docutils literal notranslate"><span class="pre">arcsinh</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="generated/torch.asinh.html#torch.asinh" title="torch.asinh"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.asinh()</span></code></a>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.atan"/><a class="reference internal" href="generated/torch.atan.html#torch.atan" title="torch.atan"><code class="xref py py-obj docutils literal notranslate"><span class="pre">atan</span></code></a></p></td>
<td><p>Returns a new tensor with the arctangent of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.arctan"/><a class="reference internal" href="generated/torch.arctan.html#torch.arctan" title="torch.arctan"><code class="xref py py-obj docutils literal notranslate"><span class="pre">arctan</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="generated/torch.atan.html#torch.atan" title="torch.atan"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.atan()</span></code></a>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.atanh"/><a class="reference internal" href="generated/torch.atanh.html#torch.atanh" title="torch.atanh"><code class="xref py py-obj docutils literal notranslate"><span class="pre">atanh</span></code></a></p></td>
<td><p>Returns a new tensor with the inverse hyperbolic tangent of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.arctanh"/><a class="reference internal" href="generated/torch.arctanh.html#torch.arctanh" title="torch.arctanh"><code class="xref py py-obj docutils literal notranslate"><span class="pre">arctanh</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="generated/torch.atanh.html#torch.atanh" title="torch.atanh"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.atanh()</span></code></a>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.bitwise_not"/><a class="reference internal" href="generated/torch.bitwise_not.html#torch.bitwise_not" title="torch.bitwise_not"><code class="xref py py-obj docutils literal notranslate"><span class="pre">bitwise_not</span></code></a></p></td>
<td><p>Computes the bitwise NOT of the given input tensor.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.ceil"/><a class="reference internal" href="generated/torch.ceil.html#torch.ceil" title="torch.ceil"><code class="xref py py-obj docutils literal notranslate"><span class="pre">ceil</span></code></a></p></td>
<td><p>Returns a new tensor with the ceil of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>, the smallest integer greater than or equal to each element.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.clamp"/><a class="reference internal" href="generated/torch.clamp.html#torch.clamp" title="torch.clamp"><code class="xref py py-obj docutils literal notranslate"><span class="pre">clamp</span></code></a></p></td>
<td><p>Clamps all elements in <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> into the range <cite>[</cite> <a class="reference internal" href="generated/torch.min.html#torch.min" title="torch.min"><code class="xref py py-attr docutils literal notranslate"><span class="pre">min</span></code></a>, <a class="reference internal" href="generated/torch.max.html#torch.max" title="torch.max"><code class="xref py py-attr docutils literal notranslate"><span class="pre">max</span></code></a> <cite>]</cite>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.clip"/><a class="reference internal" href="generated/torch.clip.html#torch.clip" title="torch.clip"><code class="xref py py-obj docutils literal notranslate"><span class="pre">clip</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="generated/torch.clamp.html#torch.clamp" title="torch.clamp"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.clamp()</span></code></a>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.conj_physical"/><a class="reference internal" href="generated/torch.conj_physical.html#torch.conj_physical" title="torch.conj_physical"><code class="xref py py-obj docutils literal notranslate"><span class="pre">conj_physical</span></code></a></p></td>
<td><p>Computes the element-wise conjugate of the given <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> tensor.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.cos"/><a class="reference internal" href="generated/torch.cos.html#torch.cos" title="torch.cos"><code class="xref py py-obj docutils literal notranslate"><span class="pre">cos</span></code></a></p></td>
<td><p>Returns a new tensor with the cosine of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.cosh"/><a class="reference internal" href="generated/torch.cosh.html#torch.cosh" title="torch.cosh"><code class="xref py py-obj docutils literal notranslate"><span class="pre">cosh</span></code></a></p></td>
<td><p>Returns a new tensor with the hyperbolic cosine of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.deg2rad"/><a class="reference internal" href="generated/torch.deg2rad.html#torch.deg2rad" title="torch.deg2rad"><code class="xref py py-obj docutils literal notranslate"><span class="pre">deg2rad</span></code></a></p></td>
<td><p>Returns a new tensor with each of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> converted from angles in degrees to radians.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.digamma"/><a class="reference internal" href="generated/torch.digamma.html#torch.digamma" title="torch.digamma"><code class="xref py py-obj docutils literal notranslate"><span class="pre">digamma</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="special.html#torch.special.digamma" title="torch.special.digamma"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.special.digamma()</span></code></a>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.erf"/><a class="reference internal" href="generated/torch.erf.html#torch.erf" title="torch.erf"><code class="xref py py-obj docutils literal notranslate"><span class="pre">erf</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="special.html#torch.special.erf" title="torch.special.erf"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.special.erf()</span></code></a>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.erfc"/><a class="reference internal" href="generated/torch.erfc.html#torch.erfc" title="torch.erfc"><code class="xref py py-obj docutils literal notranslate"><span class="pre">erfc</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="special.html#torch.special.erfc" title="torch.special.erfc"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.special.erfc()</span></code></a>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.erfinv"/><a class="reference internal" href="generated/torch.erfinv.html#torch.erfinv" title="torch.erfinv"><code class="xref py py-obj docutils literal notranslate"><span class="pre">erfinv</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="special.html#torch.special.erfinv" title="torch.special.erfinv"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.special.erfinv()</span></code></a>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.exp"/><a class="reference internal" href="generated/torch.exp.html#torch.exp" title="torch.exp"><code class="xref py py-obj docutils literal notranslate"><span class="pre">exp</span></code></a></p></td>
<td><p>Returns a new tensor with the exponential of the elements of the input tensor <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.exp2"/><a class="reference internal" href="generated/torch.exp2.html#torch.exp2" title="torch.exp2"><code class="xref py py-obj docutils literal notranslate"><span class="pre">exp2</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="special.html#torch.special.exp2" title="torch.special.exp2"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.special.exp2()</span></code></a>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.expm1"/><a class="reference internal" href="generated/torch.expm1.html#torch.expm1" title="torch.expm1"><code class="xref py py-obj docutils literal notranslate"><span class="pre">expm1</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="special.html#torch.special.expm1" title="torch.special.expm1"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.special.expm1()</span></code></a>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.fix"/><a class="reference internal" href="generated/torch.fix.html#torch.fix" title="torch.fix"><code class="xref py py-obj docutils literal notranslate"><span class="pre">fix</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="generated/torch.trunc.html#torch.trunc" title="torch.trunc"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.trunc()</span></code></a></p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.floor"/><a class="reference internal" href="generated/torch.floor.html#torch.floor" title="torch.floor"><code class="xref py py-obj docutils literal notranslate"><span class="pre">floor</span></code></a></p></td>
<td><p>Returns a new tensor with the floor of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>, the largest integer less than or equal to each element.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.frac"/><a class="reference internal" href="generated/torch.frac.html#torch.frac" title="torch.frac"><code class="xref py py-obj docutils literal notranslate"><span class="pre">frac</span></code></a></p></td>
<td><p>Computes the fractional portion of each element in <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.lgamma"/><a class="reference internal" href="generated/torch.lgamma.html#torch.lgamma" title="torch.lgamma"><code class="xref py py-obj docutils literal notranslate"><span class="pre">lgamma</span></code></a></p></td>
<td><p>Computes the natural logarithm of the absolute value of the gamma function on <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.log"/><a class="reference internal" href="generated/torch.log.html#torch.log" title="torch.log"><code class="xref py py-obj docutils literal notranslate"><span class="pre">log</span></code></a></p></td>
<td><p>Returns a new tensor with the natural logarithm of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.log10"/><a class="reference internal" href="generated/torch.log10.html#torch.log10" title="torch.log10"><code class="xref py py-obj docutils literal notranslate"><span class="pre">log10</span></code></a></p></td>
<td><p>Returns a new tensor with the logarithm to the base 10 of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.log1p"/><a class="reference internal" href="generated/torch.log1p.html#torch.log1p" title="torch.log1p"><code class="xref py py-obj docutils literal notranslate"><span class="pre">log1p</span></code></a></p></td>
<td><p>Returns a new tensor with the natural logarithm of (1 + <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>).</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.log2"/><a class="reference internal" href="generated/torch.log2.html#torch.log2" title="torch.log2"><code class="xref py py-obj docutils literal notranslate"><span class="pre">log2</span></code></a></p></td>
<td><p>Returns a new tensor with the logarithm to the base 2 of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.logit"/><a class="reference internal" href="generated/torch.logit.html#torch.logit" title="torch.logit"><code class="xref py py-obj docutils literal notranslate"><span class="pre">logit</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="special.html#torch.special.logit" title="torch.special.logit"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.special.logit()</span></code></a>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.i0"/><a class="reference internal" href="generated/torch.i0.html#torch.i0" title="torch.i0"><code class="xref py py-obj docutils literal notranslate"><span class="pre">i0</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="special.html#torch.special.i0" title="torch.special.i0"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.special.i0()</span></code></a>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.isnan"/><a class="reference internal" href="generated/torch.isnan.html#torch.isnan" title="torch.isnan"><code class="xref py py-obj docutils literal notranslate"><span class="pre">isnan</span></code></a></p></td>
<td><p>Returns a new tensor with boolean elements representing if each element of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> is NaN or not.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.nan_to_num"/><a class="reference internal" href="generated/torch.nan_to_num.html#torch.nan_to_num" title="torch.nan_to_num"><code class="xref py py-obj docutils literal notranslate"><span class="pre">nan_to_num</span></code></a></p></td>
<td><p>Replaces <code class="docutils literal notranslate"><span class="pre">NaN</span></code>, positive infinity, and negative infinity values in <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> with the values specified by <code class="xref py py-attr docutils literal notranslate"><span class="pre">nan</span></code>, <code class="xref py py-attr docutils literal notranslate"><span class="pre">posinf</span></code>, and <code class="xref py py-attr docutils literal notranslate"><span class="pre">neginf</span></code>, respectively.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.neg"/><a class="reference internal" href="generated/torch.neg.html#torch.neg" title="torch.neg"><code class="xref py py-obj docutils literal notranslate"><span class="pre">neg</span></code></a></p></td>
<td><p>Returns a new tensor with the negative of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.negative"/><a class="reference internal" href="generated/torch.negative.html#torch.negative" title="torch.negative"><code class="xref py py-obj docutils literal notranslate"><span class="pre">negative</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="generated/torch.neg.html#torch.neg" title="torch.neg"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.neg()</span></code></a></p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.positive"/><a class="reference internal" href="generated/torch.positive.html#torch.positive" title="torch.positive"><code class="xref py py-obj docutils literal notranslate"><span class="pre">positive</span></code></a></p></td>
<td><p>Returns <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.pow"/><a class="reference internal" href="generated/torch.pow.html#torch.pow" title="torch.pow"><code class="xref py py-obj docutils literal notranslate"><span class="pre">pow</span></code></a></p></td>
<td><p>Takes the power of each element in <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> with <code class="xref py py-attr docutils literal notranslate"><span class="pre">exponent</span></code> and returns a tensor with the result.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.rad2deg"/><a class="reference internal" href="generated/torch.rad2deg.html#torch.rad2deg" title="torch.rad2deg"><code class="xref py py-obj docutils literal notranslate"><span class="pre">rad2deg</span></code></a></p></td>
<td><p>Returns a new tensor with each of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> converted from angles in radians to degrees.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.reciprocal"/><a class="reference internal" href="generated/torch.reciprocal.html#torch.reciprocal" title="torch.reciprocal"><code class="xref py py-obj docutils literal notranslate"><span class="pre">reciprocal</span></code></a></p></td>
<td><p>Returns a new tensor with the reciprocal of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code></p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.round"/><a class="reference internal" href="generated/torch.round.html#torch.round" title="torch.round"><code class="xref py py-obj docutils literal notranslate"><span class="pre">round</span></code></a></p></td>
<td><p>Rounds elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> to the nearest integer.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.rsqrt"/><a class="reference internal" href="generated/torch.rsqrt.html#torch.rsqrt" title="torch.rsqrt"><code class="xref py py-obj docutils literal notranslate"><span class="pre">rsqrt</span></code></a></p></td>
<td><p>Returns a new tensor with the reciprocal of the square-root of each of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.sigmoid"/><a class="reference internal" href="generated/torch.sigmoid.html#torch.sigmoid" title="torch.sigmoid"><code class="xref py py-obj docutils literal notranslate"><span class="pre">sigmoid</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="special.html#torch.special.expit" title="torch.special.expit"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.special.expit()</span></code></a>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.sign"/><a class="reference internal" href="generated/torch.sign.html#torch.sign" title="torch.sign"><code class="xref py py-obj docutils literal notranslate"><span class="pre">sign</span></code></a></p></td>
<td><p>Returns a new tensor with the signs of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.sgn"/><a class="reference internal" href="generated/torch.sgn.html#torch.sgn" title="torch.sgn"><code class="xref py py-obj docutils literal notranslate"><span class="pre">sgn</span></code></a></p></td>
<td><p>This function is an extension of torch.sign() to complex tensors.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.signbit"/><a class="reference internal" href="generated/torch.signbit.html#torch.signbit" title="torch.signbit"><code class="xref py py-obj docutils literal notranslate"><span class="pre">signbit</span></code></a></p></td>
<td><p>Tests if each element of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> has its sign bit set or not.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.sin"/><a class="reference internal" href="generated/torch.sin.html#torch.sin" title="torch.sin"><code class="xref py py-obj docutils literal notranslate"><span class="pre">sin</span></code></a></p></td>
<td><p>Returns a new tensor with the sine of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.sinc"/><a class="reference internal" href="generated/torch.sinc.html#torch.sinc" title="torch.sinc"><code class="xref py py-obj docutils literal notranslate"><span class="pre">sinc</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="special.html#torch.special.sinc" title="torch.special.sinc"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.special.sinc()</span></code></a>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.sinh"/><a class="reference internal" href="generated/torch.sinh.html#torch.sinh" title="torch.sinh"><code class="xref py py-obj docutils literal notranslate"><span class="pre">sinh</span></code></a></p></td>
<td><p>Returns a new tensor with the hyperbolic sine of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.sqrt"/><a class="reference internal" href="generated/torch.sqrt.html#torch.sqrt" title="torch.sqrt"><code class="xref py py-obj docutils literal notranslate"><span class="pre">sqrt</span></code></a></p></td>
<td><p>Returns a new tensor with the square-root of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.square"/><a class="reference internal" href="generated/torch.square.html#torch.square" title="torch.square"><code class="xref py py-obj docutils literal notranslate"><span class="pre">square</span></code></a></p></td>
<td><p>Returns a new tensor with the square of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.tan"/><a class="reference internal" href="generated/torch.tan.html#torch.tan" title="torch.tan"><code class="xref py py-obj docutils literal notranslate"><span class="pre">tan</span></code></a></p></td>
<td><p>Returns a new tensor with the tangent of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.tanh"/><a class="reference internal" href="generated/torch.tanh.html#torch.tanh" title="torch.tanh"><code class="xref py py-obj docutils literal notranslate"><span class="pre">tanh</span></code></a></p></td>
<td><p>Returns a new tensor with the hyperbolic tangent of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.trunc"/><a class="reference internal" href="generated/torch.trunc.html#torch.trunc" title="torch.trunc"><code class="xref py py-obj docutils literal notranslate"><span class="pre">trunc</span></code></a></p></td>
<td><p>Returns a new tensor with the truncated integer values of the elements of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
</tbody>
</table>
<p>The available inplace unary operators are all of the above <strong>except</strong>:</p>
<table class="autosummary longtable docutils colwidths-auto align-default">
<tbody>
<tr class="row-odd"><td><p><p id="torch.angle"/><a class="reference internal" href="generated/torch.angle.html#torch.angle" title="torch.angle"><code class="xref py py-obj docutils literal notranslate"><span class="pre">angle</span></code></a></p></td>
<td><p>Computes the element-wise angle (in radians) of the given <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> tensor.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.positive"/><a class="reference internal" href="generated/torch.positive.html#torch.positive" title="torch.positive"><code class="xref py py-obj docutils literal notranslate"><span class="pre">positive</span></code></a></p></td>
<td><p>Returns <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.signbit"/><a class="reference internal" href="generated/torch.signbit.html#torch.signbit" title="torch.signbit"><code class="xref py py-obj docutils literal notranslate"><span class="pre">signbit</span></code></a></p></td>
<td><p>Tests if each element of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> has its sign bit set or not.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.isnan"/><a class="reference internal" href="generated/torch.isnan.html#torch.isnan" title="torch.isnan"><code class="xref py py-obj docutils literal notranslate"><span class="pre">isnan</span></code></a></p></td>
<td><p>Returns a new tensor with boolean elements representing if each element of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> is NaN or not.</p></td>
</tr>
</tbody>
</table>
</div>
<div class="section" id="binary-operators">
<h3>Binary Operators<a class="headerlink" href="#binary-operators" title="Permalink to this heading">¶</a></h3>
<p>As you may have seen in the tutorial, <code class="xref py py-class docutils literal notranslate"><span class="pre">MaskedTensor</span></code> 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.</p>
<p>The available binary operators are:</p>
<table class="autosummary longtable docutils colwidths-auto align-default">
<tbody>
<tr class="row-odd"><td><p><p id="torch.add"/><a class="reference internal" href="generated/torch.add.html#torch.add" title="torch.add"><code class="xref py py-obj docutils literal notranslate"><span class="pre">add</span></code></a></p></td>
<td><p>Adds <code class="xref py py-attr docutils literal notranslate"><span class="pre">other</span></code>, scaled by <code class="xref py py-attr docutils literal notranslate"><span class="pre">alpha</span></code>, to <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.atan2"/><a class="reference internal" href="generated/torch.atan2.html#torch.atan2" title="torch.atan2"><code class="xref py py-obj docutils literal notranslate"><span class="pre">atan2</span></code></a></p></td>
<td><p>Element-wise arctangent of <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mtext>input</mtext><mi>i</mi></msub><mi mathvariant="normal">/</mi><msub><mtext>other</mtext><mi>i</mi></msub></mrow><annotation encoding="application/x-tex">\text{input}_{i} / \text{other}_{i}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord"><span class="mord text"><span class="mord">input</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.2175em;"><span style="top:-2.4559em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight">i</span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.2441em;"><span></span></span></span></span></span></span><span class="mord">/</span><span class="mord"><span class="mord text"><span class="mord">other</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3117em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight">i</span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span></span> with consideration of the quadrant.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.arctan2"/><a class="reference internal" href="generated/torch.arctan2.html#torch.arctan2" title="torch.arctan2"><code class="xref py py-obj docutils literal notranslate"><span class="pre">arctan2</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="generated/torch.atan2.html#torch.atan2" title="torch.atan2"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.atan2()</span></code></a>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.bitwise_and"/><a class="reference internal" href="generated/torch.bitwise_and.html#torch.bitwise_and" title="torch.bitwise_and"><code class="xref py py-obj docutils literal notranslate"><span class="pre">bitwise_and</span></code></a></p></td>
<td><p>Computes the bitwise AND of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> and <code class="xref py py-attr docutils literal notranslate"><span class="pre">other</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.bitwise_or"/><a class="reference internal" href="generated/torch.bitwise_or.html#torch.bitwise_or" title="torch.bitwise_or"><code class="xref py py-obj docutils literal notranslate"><span class="pre">bitwise_or</span></code></a></p></td>
<td><p>Computes the bitwise OR of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> and <code class="xref py py-attr docutils literal notranslate"><span class="pre">other</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.bitwise_xor"/><a class="reference internal" href="generated/torch.bitwise_xor.html#torch.bitwise_xor" title="torch.bitwise_xor"><code class="xref py py-obj docutils literal notranslate"><span class="pre">bitwise_xor</span></code></a></p></td>
<td><p>Computes the bitwise XOR of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> and <code class="xref py py-attr docutils literal notranslate"><span class="pre">other</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.bitwise_left_shift"/><a class="reference internal" href="generated/torch.bitwise_left_shift.html#torch.bitwise_left_shift" title="torch.bitwise_left_shift"><code class="xref py py-obj docutils literal notranslate"><span class="pre">bitwise_left_shift</span></code></a></p></td>
<td><p>Computes the left arithmetic shift of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> by <code class="xref py py-attr docutils literal notranslate"><span class="pre">other</span></code> bits.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.bitwise_right_shift"/><a class="reference internal" href="generated/torch.bitwise_right_shift.html#torch.bitwise_right_shift" title="torch.bitwise_right_shift"><code class="xref py py-obj docutils literal notranslate"><span class="pre">bitwise_right_shift</span></code></a></p></td>
<td><p>Computes the right arithmetic shift of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> by <code class="xref py py-attr docutils literal notranslate"><span class="pre">other</span></code> bits.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.div"/><a class="reference internal" href="generated/torch.div.html#torch.div" title="torch.div"><code class="xref py py-obj docutils literal notranslate"><span class="pre">div</span></code></a></p></td>
<td><p>Divides each element of the input <code class="docutils literal notranslate"><span class="pre">input</span></code> by the corresponding element of <code class="xref py py-attr docutils literal notranslate"><span class="pre">other</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.divide"/><a class="reference internal" href="generated/torch.divide.html#torch.divide" title="torch.divide"><code class="xref py py-obj docutils literal notranslate"><span class="pre">divide</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="generated/torch.div.html#torch.div" title="torch.div"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.div()</span></code></a>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.floor_divide"/><a class="reference internal" href="generated/torch.floor_divide.html#torch.floor_divide" title="torch.floor_divide"><code class="xref py py-obj docutils literal notranslate"><span class="pre">floor_divide</span></code></a></p></td>
<td><p></p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.fmod"/><a class="reference internal" href="generated/torch.fmod.html#torch.fmod" title="torch.fmod"><code class="xref py py-obj docutils literal notranslate"><span class="pre">fmod</span></code></a></p></td>
<td><p>Applies C++'s <a class="reference external" href="https://en.cppreference.com/w/cpp/numeric/math/fmod">std::fmod</a> entrywise.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.logaddexp"/><a class="reference internal" href="generated/torch.logaddexp.html#torch.logaddexp" title="torch.logaddexp"><code class="xref py py-obj docutils literal notranslate"><span class="pre">logaddexp</span></code></a></p></td>
<td><p>Logarithm of the sum of exponentiations of the inputs.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.logaddexp2"/><a class="reference internal" href="generated/torch.logaddexp2.html#torch.logaddexp2" title="torch.logaddexp2"><code class="xref py py-obj docutils literal notranslate"><span class="pre">logaddexp2</span></code></a></p></td>
<td><p>Logarithm of the sum of exponentiations of the inputs in base-2.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.mul"/><a class="reference internal" href="generated/torch.mul.html#torch.mul" title="torch.mul"><code class="xref py py-obj docutils literal notranslate"><span class="pre">mul</span></code></a></p></td>
<td><p>Multiplies <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> by <code class="xref py py-attr docutils literal notranslate"><span class="pre">other</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.multiply"/><a class="reference internal" href="generated/torch.multiply.html#torch.multiply" title="torch.multiply"><code class="xref py py-obj docutils literal notranslate"><span class="pre">multiply</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="generated/torch.mul.html#torch.mul" title="torch.mul"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.mul()</span></code></a>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.nextafter"/><a class="reference internal" href="generated/torch.nextafter.html#torch.nextafter" title="torch.nextafter"><code class="xref py py-obj docutils literal notranslate"><span class="pre">nextafter</span></code></a></p></td>
<td><p>Return the next floating-point value after <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> towards <code class="xref py py-attr docutils literal notranslate"><span class="pre">other</span></code>, elementwise.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.remainder"/><a class="reference internal" href="generated/torch.remainder.html#torch.remainder" title="torch.remainder"><code class="xref py py-obj docutils literal notranslate"><span class="pre">remainder</span></code></a></p></td>
<td><p>Computes <a class="reference external" href="https://docs.python.org/3/reference/expressions.html#binary-arithmetic-operations">Python's modulus operation</a> entrywise.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.sub"/><a class="reference internal" href="generated/torch.sub.html#torch.sub" title="torch.sub"><code class="xref py py-obj docutils literal notranslate"><span class="pre">sub</span></code></a></p></td>
<td><p>Subtracts <code class="xref py py-attr docutils literal notranslate"><span class="pre">other</span></code>, scaled by <code class="xref py py-attr docutils literal notranslate"><span class="pre">alpha</span></code>, from <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.subtract"/><a class="reference internal" href="generated/torch.subtract.html#torch.subtract" title="torch.subtract"><code class="xref py py-obj docutils literal notranslate"><span class="pre">subtract</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="generated/torch.sub.html#torch.sub" title="torch.sub"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.sub()</span></code></a>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.true_divide"/><a class="reference internal" href="generated/torch.true_divide.html#torch.true_divide" title="torch.true_divide"><code class="xref py py-obj docutils literal notranslate"><span class="pre">true_divide</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="generated/torch.div.html#torch.div" title="torch.div"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.div()</span></code></a> with <code class="docutils literal notranslate"><span class="pre">rounding_mode=None</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.eq"/><a class="reference internal" href="generated/torch.eq.html#torch.eq" title="torch.eq"><code class="xref py py-obj docutils literal notranslate"><span class="pre">eq</span></code></a></p></td>
<td><p>Computes element-wise equality</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.ne"/><a class="reference internal" href="generated/torch.ne.html#torch.ne" title="torch.ne"><code class="xref py py-obj docutils literal notranslate"><span class="pre">ne</span></code></a></p></td>
<td><p>Computes <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>input</mtext><mo mathvariant="normal">≠</mo><mtext>other</mtext></mrow><annotation encoding="application/x-tex">\text{input} \neq \text{other}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord text"><span class="mord">input</span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel"><span class="mrel"><span class="mord vbox"><span class="thinbox"><span class="rlap"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="inner"><span class="mord"><span class="mrel"></span></span></span><span class="fix"></span></span></span></span></span><span class="mrel">=</span></span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord text"><span class="mord">other</span></span></span></span></span></span> element-wise.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.le"/><a class="reference internal" href="generated/torch.le.html#torch.le" title="torch.le"><code class="xref py py-obj docutils literal notranslate"><span class="pre">le</span></code></a></p></td>
<td><p>Computes <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>input</mtext><mo>≤</mo><mtext>other</mtext></mrow><annotation encoding="application/x-tex">\text{input} \leq \text{other}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8623em;vertical-align:-0.1944em;"></span><span class="mord text"><span class="mord">input</span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">≤</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord text"><span class="mord">other</span></span></span></span></span></span> element-wise.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.ge"/><a class="reference internal" href="generated/torch.ge.html#torch.ge" title="torch.ge"><code class="xref py py-obj docutils literal notranslate"><span class="pre">ge</span></code></a></p></td>
<td><p>Computes <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>input</mtext><mo>≥</mo><mtext>other</mtext></mrow><annotation encoding="application/x-tex">\text{input} \geq \text{other}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8623em;vertical-align:-0.1944em;"></span><span class="mord text"><span class="mord">input</span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">≥</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord text"><span class="mord">other</span></span></span></span></span></span> element-wise.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.greater"/><a class="reference internal" href="generated/torch.greater.html#torch.greater" title="torch.greater"><code class="xref py py-obj docutils literal notranslate"><span class="pre">greater</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="generated/torch.gt.html#torch.gt" title="torch.gt"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.gt()</span></code></a>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.greater_equal"/><a class="reference internal" href="generated/torch.greater_equal.html#torch.greater_equal" title="torch.greater_equal"><code class="xref py py-obj docutils literal notranslate"><span class="pre">greater_equal</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="generated/torch.ge.html#torch.ge" title="torch.ge"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.ge()</span></code></a>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.gt"/><a class="reference internal" href="generated/torch.gt.html#torch.gt" title="torch.gt"><code class="xref py py-obj docutils literal notranslate"><span class="pre">gt</span></code></a></p></td>
<td><p>Computes <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>input</mtext><mo>></mo><mtext>other</mtext></mrow><annotation encoding="application/x-tex">\text{input} > \text{other}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8623em;vertical-align:-0.1944em;"></span><span class="mord text"><span class="mord">input</span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">></span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord text"><span class="mord">other</span></span></span></span></span></span> element-wise.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.less_equal"/><a class="reference internal" href="generated/torch.less_equal.html#torch.less_equal" title="torch.less_equal"><code class="xref py py-obj docutils literal notranslate"><span class="pre">less_equal</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="generated/torch.le.html#torch.le" title="torch.le"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.le()</span></code></a>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.lt"/><a class="reference internal" href="generated/torch.lt.html#torch.lt" title="torch.lt"><code class="xref py py-obj docutils literal notranslate"><span class="pre">lt</span></code></a></p></td>
<td><p>Computes <span class="math"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>input</mtext><mo><</mo><mtext>other</mtext></mrow><annotation encoding="application/x-tex">\text{input} < \text{other}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8623em;vertical-align:-0.1944em;"></span><span class="mord text"><span class="mord">input</span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel"><</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord text"><span class="mord">other</span></span></span></span></span></span> element-wise.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.less"/><a class="reference internal" href="generated/torch.less.html#torch.less" title="torch.less"><code class="xref py py-obj docutils literal notranslate"><span class="pre">less</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="generated/torch.lt.html#torch.lt" title="torch.lt"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.lt()</span></code></a>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.maximum"/><a class="reference internal" href="generated/torch.maximum.html#torch.maximum" title="torch.maximum"><code class="xref py py-obj docutils literal notranslate"><span class="pre">maximum</span></code></a></p></td>
<td><p>Computes the element-wise maximum of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> and <code class="xref py py-attr docutils literal notranslate"><span class="pre">other</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.minimum"/><a class="reference internal" href="generated/torch.minimum.html#torch.minimum" title="torch.minimum"><code class="xref py py-obj docutils literal notranslate"><span class="pre">minimum</span></code></a></p></td>
<td><p>Computes the element-wise minimum of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> and <code class="xref py py-attr docutils literal notranslate"><span class="pre">other</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.fmax"/><a class="reference internal" href="generated/torch.fmax.html#torch.fmax" title="torch.fmax"><code class="xref py py-obj docutils literal notranslate"><span class="pre">fmax</span></code></a></p></td>
<td><p>Computes the element-wise maximum of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> and <code class="xref py py-attr docutils literal notranslate"><span class="pre">other</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.fmin"/><a class="reference internal" href="generated/torch.fmin.html#torch.fmin" title="torch.fmin"><code class="xref py py-obj docutils literal notranslate"><span class="pre">fmin</span></code></a></p></td>
<td><p>Computes the element-wise minimum of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> and <code class="xref py py-attr docutils literal notranslate"><span class="pre">other</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.not_equal"/><a class="reference internal" href="generated/torch.not_equal.html#torch.not_equal" title="torch.not_equal"><code class="xref py py-obj docutils literal notranslate"><span class="pre">not_equal</span></code></a></p></td>
<td><p>Alias for <a class="reference internal" href="generated/torch.ne.html#torch.ne" title="torch.ne"><code class="xref py py-func docutils literal notranslate"><span class="pre">torch.ne()</span></code></a>.</p></td>
</tr>
</tbody>
</table>
<p>The available inplace binary operators are all of the above <strong>except</strong>:</p>
<table class="autosummary longtable docutils colwidths-auto align-default">
<tbody>
<tr class="row-odd"><td><p><p id="torch.logaddexp"/><a class="reference internal" href="generated/torch.logaddexp.html#torch.logaddexp" title="torch.logaddexp"><code class="xref py py-obj docutils literal notranslate"><span class="pre">logaddexp</span></code></a></p></td>
<td><p>Logarithm of the sum of exponentiations of the inputs.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.logaddexp2"/><a class="reference internal" href="generated/torch.logaddexp2.html#torch.logaddexp2" title="torch.logaddexp2"><code class="xref py py-obj docutils literal notranslate"><span class="pre">logaddexp2</span></code></a></p></td>
<td><p>Logarithm of the sum of exponentiations of the inputs in base-2.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.equal"/><a class="reference internal" href="generated/torch.equal.html#torch.equal" title="torch.equal"><code class="xref py py-obj docutils literal notranslate"><span class="pre">equal</span></code></a></p></td>
<td><p><code class="docutils literal notranslate"><span class="pre">True</span></code> if two tensors have the same size and elements, <code class="docutils literal notranslate"><span class="pre">False</span></code> otherwise.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.fmin"/><a class="reference internal" href="generated/torch.fmin.html#torch.fmin" title="torch.fmin"><code class="xref py py-obj docutils literal notranslate"><span class="pre">fmin</span></code></a></p></td>
<td><p>Computes the element-wise minimum of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> and <code class="xref py py-attr docutils literal notranslate"><span class="pre">other</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.minimum"/><a class="reference internal" href="generated/torch.minimum.html#torch.minimum" title="torch.minimum"><code class="xref py py-obj docutils literal notranslate"><span class="pre">minimum</span></code></a></p></td>
<td><p>Computes the element-wise minimum of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> and <code class="xref py py-attr docutils literal notranslate"><span class="pre">other</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.fmax"/><a class="reference internal" href="generated/torch.fmax.html#torch.fmax" title="torch.fmax"><code class="xref py py-obj docutils literal notranslate"><span class="pre">fmax</span></code></a></p></td>
<td><p>Computes the element-wise maximum of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> and <code class="xref py py-attr docutils literal notranslate"><span class="pre">other</span></code>.</p></td>
</tr>
</tbody>
</table>
</div>
<div class="section" id="reductions">
<h3>Reductions<a class="headerlink" href="#reductions" title="Permalink to this heading">¶</a></h3>
<p>The following reductions are available (with autograd support). For more information, the
<a class="reference external" href="https://pytorch.org/tutorials/prototype/maskedtensor_overview.html">Overview</a> tutorial
details some examples of reductions, while the
<a class="reference external" href="https://pytorch.org/tutorials/prototype/maskedtensor_advanced_semantics.html">Advanced semantics</a> tutorial
has some further in-depth discussions about how we decided on certain reduction semantics.</p>
<table class="autosummary longtable docutils colwidths-auto align-default">
<tbody>
<tr class="row-odd"><td><p><p id="torch.sum"/><a class="reference internal" href="generated/torch.sum.html#torch.sum" title="torch.sum"><code class="xref py py-obj docutils literal notranslate"><span class="pre">sum</span></code></a></p></td>
<td><p>Returns the sum of all elements in the <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> tensor.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.mean"/><a class="reference internal" href="generated/torch.mean.html#torch.mean" title="torch.mean"><code class="xref py py-obj docutils literal notranslate"><span class="pre">mean</span></code></a></p></td>
<td><p></p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.amin"/><a class="reference internal" href="generated/torch.amin.html#torch.amin" title="torch.amin"><code class="xref py py-obj docutils literal notranslate"><span class="pre">amin</span></code></a></p></td>
<td><p>Returns the minimum value of each slice of the <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> tensor in the given dimension(s) <code class="xref py py-attr docutils literal notranslate"><span class="pre">dim</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.amax"/><a class="reference internal" href="generated/torch.amax.html#torch.amax" title="torch.amax"><code class="xref py py-obj docutils literal notranslate"><span class="pre">amax</span></code></a></p></td>
<td><p>Returns the maximum value of each slice of the <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> tensor in the given dimension(s) <code class="xref py py-attr docutils literal notranslate"><span class="pre">dim</span></code>.</p></td>