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2025-01-09 21:56:20 +00:00
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@@ -8,7 +8,7 @@
<meta charset="utf-8" />
<meta name="viewport" content="width=device-width, initial-scale=1.0" /><meta name="viewport" content="width=device-width, initial-scale=1" />
<title>Linear Regression &#8212; MLX 0.21.1 documentation</title>
<title>Linear Regression &#8212; MLX 0.22.0 documentation</title>
@@ -16,8 +16,8 @@
document.documentElement.dataset.mode = localStorage.getItem("mode") || "";
document.documentElement.dataset.theme = localStorage.getItem("theme") || "";
</script>
<!--
this give us a css class that will be invisible only if js is disabled
<!--
this give us a css class that will be invisible only if js is disabled
-->
<noscript>
<style>
@@ -27,19 +27,19 @@
</noscript>
<!-- Loaded before other Sphinx assets -->
<link href="../_static/styles/theme.css?digest=26a4bc78f4c0ddb94549" rel="stylesheet" />
<link href="../_static/styles/pydata-sphinx-theme.css?digest=26a4bc78f4c0ddb94549" rel="stylesheet" />
<link href="../_static/styles/theme.css?digest=8878045cc6db502f8baf" rel="stylesheet" />
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<link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=fa44fd50" />
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<script src="../_static/scripts/fontawesome.js?digest=26a4bc78f4c0ddb94549"></script>
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<!-- Pre-loaded scripts that we'll load fully later -->
<link rel="preload" as="script" href="../_static/scripts/bootstrap.js?digest=26a4bc78f4c0ddb94549" />
<link rel="preload" as="script" href="../_static/scripts/pydata-sphinx-theme.js?digest=26a4bc78f4c0ddb94549" />
<link rel="preload" as="script" href="../_static/scripts/bootstrap.js?digest=8878045cc6db502f8baf" />
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<script src="../_static/sphinx_highlight.js?v=dc90522c"></script>
<script src="../_static/scripts/sphinx-book-theme.js?v=887ef09a"></script>
@@ -48,10 +48,10 @@
<link rel="index" title="Index" href="../genindex.html" />
<link rel="search" title="Search" href="../search.html" />
<link rel="next" title="Multi-Layer Perceptron" href="mlp.html" />
<link rel="prev" title="Using Streams" href="../usage/using_streams.html" />
<link rel="prev" title="Exporting Functions" href="../usage/export.html" />
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<meta name="docsearch:language" content="en"/>
<meta name="docsearch:version" content="0.21.1" />
<meta name="docsearch:version" content="0.22.0" />
</head>
@@ -130,8 +130,8 @@
<img src="../_static/mlx_logo.png" class="logo__image only-light" alt="MLX 0.21.1 documentation - Home"/>
<img src="../_static/mlx_logo_dark.png" class="logo__image only-dark pst-js-only" alt="MLX 0.21.1 documentation - Home"/>
<img src="../_static/mlx_logo.png" class="logo__image only-light" alt="MLX 0.22.0 documentation - Home"/>
<img src="../_static/mlx_logo_dark.png" class="logo__image only-dark pst-js-only" alt="MLX 0.22.0 documentation - Home"/>
</a></div>
@@ -160,6 +160,7 @@
<li class="toctree-l1"><a class="reference internal" href="../usage/numpy.html">Conversion to NumPy and Other Frameworks</a></li>
<li class="toctree-l1"><a class="reference internal" href="../usage/distributed.html">Distributed Communication</a></li>
<li class="toctree-l1"><a class="reference internal" href="../usage/using_streams.html">Using Streams</a></li>
<li class="toctree-l1"><a class="reference internal" href="../usage/export.html">Exporting Functions</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Examples</span></p>
<ul class="current nav bd-sidenav">
@@ -228,6 +229,7 @@
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.Dtype.html">mlx.core.Dtype</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.DtypeCategory.html">mlx.core.DtypeCategory</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.issubdtype.html">mlx.core.issubdtype</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.finfo.html">mlx.core.finfo</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="../python/devices_and_streams.html">Devices and Streams</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
@@ -242,6 +244,13 @@
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.synchronize.html">mlx.core.synchronize</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="../python/export.html">Export Functions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.export_function.html">mlx.core.export_function</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.import_function.html">mlx.core.import_function</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.exporter.html">mlx.core.exporter</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.export_to_dot.html">mlx.core.export_to_dot</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="../python/ops.html">Operations</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.abs.html">mlx.core.abs</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.add.html">mlx.core.add</a></li>
@@ -324,6 +333,7 @@
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.isneginf.html">mlx.core.isneginf</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.isposinf.html">mlx.core.isposinf</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.issubdtype.html">mlx.core.issubdtype</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.kron.html">mlx.core.kron</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.left_shift.html">mlx.core.left_shift</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.less.html">mlx.core.less</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.less_equal.html">mlx.core.less_equal</a></li>
@@ -379,6 +389,8 @@
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.sign.html">mlx.core.sign</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.sin.html">mlx.core.sin</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.sinh.html">mlx.core.sinh</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.slice.html">mlx.core.slice</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.slice_update.html">mlx.core.slice_update</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.softmax.html">mlx.core.softmax</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.sort.html">mlx.core.sort</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.split.html">mlx.core.split</a></li>
@@ -403,6 +415,7 @@
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.tri.html">mlx.core.tri</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.tril.html">mlx.core.tril</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.triu.html">mlx.core.triu</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.unflatten.html">mlx.core.unflatten</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.var.html">mlx.core.var</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.view.html">mlx.core.view</a></li>
<li class="toctree-l2"><a class="reference internal" href="../python/_autosummary/mlx.core.where.html">mlx.core.where</a></li>
@@ -695,6 +708,7 @@
<li class="toctree-l1"><a class="reference internal" href="../dev/extensions.html">Custom Extensions in MLX</a></li>
<li class="toctree-l1"><a class="reference internal" href="../dev/metal_debugger.html">Metal Debugger</a></li>
<li class="toctree-l1"><a class="reference internal" href="../dev/custom_metal_kernels.html">Custom Metal Kernels</a></li>
<li class="toctree-l1"><a class="reference internal" href="../dev/mlx_in_cpp.html">Using MLX in C++</a></li>
</ul>
</div>
@@ -703,9 +717,14 @@
<div class="sidebar-primary-items__end sidebar-primary__section">
<div class="sidebar-primary-item">
<div id="ethical-ad-placement"
class="flat"
data-ea-publisher="readthedocs"
data-ea-type="readthedocs-sidebar"
data-ea-manual="true">
</div></div>
</div>
<div id="rtd-footer-container"></div>
</div>
@@ -856,7 +875,7 @@
<span id="id1"></span><h1>Linear Regression<a class="headerlink" href="#linear-regression" title="Link to this heading">#</a></h1>
<p>Let’s implement a basic linear regression model as a starting point to
learn MLX. First import the core package and setup some problem metadata:</p>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">mlx.core</span> <span class="k">as</span> <span class="nn">mx</span>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span><span class="w"> </span><span class="nn">mlx.core</span><span class="w"> </span><span class="k">as</span><span class="w"> </span><span class="nn">mx</span>
<span class="n">num_features</span> <span class="o">=</span> <span class="mi">100</span>
<span class="n">num_examples</span> <span class="o">=</span> <span class="mi">1_000</span>
@@ -883,7 +902,7 @@ learn MLX. First import the core package and setup some problem metadata:</p>
</div>
<p>We will use SGD to find the optimal weights. To start, define the squared loss
and get the gradient function of the loss with respect to the parameters.</p>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">loss_fn</span><span class="p">(</span><span class="n">w</span><span class="p">):</span>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="k">def</span><span class="w"> </span><span class="nf">loss_fn</span><span class="p">(</span><span class="n">w</span><span class="p">):</span>
<span class="k">return</span> <span class="mf">0.5</span> <span class="o">*</span> <span class="n">mx</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">mx</span><span class="o">.</span><span class="n">square</span><span class="p">(</span><span class="n">X</span> <span class="o">@</span> <span class="n">w</span> <span class="o">-</span> <span class="n">y</span><span class="p">))</span>
<span class="n">grad_fn</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">grad</span><span class="p">(</span><span class="n">loss_fn</span><span class="p">)</span>
@@ -927,12 +946,12 @@ examples are available in the MLX GitHub repo.</p>
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href="../usage/using_streams.html"
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title="previous page">
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@@ -994,8 +1013,8 @@ By MLX Contributors
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