mlx/docs/build/html/python/optimizers.html
2025-06-04 01:01:49 +00:00

868 lines
67 KiB
HTML
Raw Blame History

This file contains ambiguous Unicode characters

This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

<!DOCTYPE html>
<html lang="en" data-content_root="" >
<head>
<meta charset="utf-8" />
<meta name="viewport" content="width=device-width, initial-scale=1.0" /><meta name="generator" content="Docutils 0.18.1: http://docutils.sourceforge.net/" />
<title>Optimizers &#8212; MLX 0.6.0 documentation</title>
<script data-cfasync="false">
document.documentElement.dataset.mode = localStorage.getItem("mode") || "";
document.documentElement.dataset.theme = localStorage.getItem("theme") || "light";
</script>
<!-- Loaded before other Sphinx assets -->
<link href="../_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
<link href="../_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
<link href="../_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
<link href="../_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
<link rel="preload" as="font" type="font/woff2" crossorigin href="../_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
<link rel="preload" as="font" type="font/woff2" crossorigin href="../_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
<link rel="preload" as="font" type="font/woff2" crossorigin href="../_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
<link rel="stylesheet" type="text/css" href="../_static/pygments.css" />
<link rel="stylesheet" href="../_static/styles/sphinx-book-theme.css?digest=14f4ca6b54d191a8c7657f6c759bf11a5fb86285" type="text/css" />
<!-- Pre-loaded scripts that we'll load fully later -->
<link rel="preload" as="script" href="../_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
<link rel="preload" as="script" href="../_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
<script src="../_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
<script data-url_root="../" id="documentation_options" src="../_static/documentation_options.js"></script>
<script src="../_static/jquery.js"></script>
<script src="../_static/underscore.js"></script>
<script src="../_static/_sphinx_javascript_frameworks_compat.js"></script>
<script src="../_static/doctools.js"></script>
<script src="../_static/scripts/sphinx-book-theme.js?digest=5a5c038af52cf7bc1a1ec88eea08e6366ee68824"></script>
<script>DOCUMENTATION_OPTIONS.pagename = 'python/optimizers';</script>
<link rel="index" title="Index" href="../genindex.html" />
<link rel="search" title="Search" href="../search.html" />
<link rel="next" title="Optimizer" href="optimizers/optimizer.html" />
<link rel="prev" title="mlx.nn.init.he_uniform" href="nn/_autosummary/mlx.nn.init.he_uniform.html" />
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<meta name="docsearch:language" content="en"/>
</head>
<body data-bs-spy="scroll" data-bs-target=".bd-toc-nav" data-offset="180" data-bs-root-margin="0px 0px -60%" data-default-mode="">
<a class="skip-link" href="#main-content">Skip to main content</a>
<div id="pst-scroll-pixel-helper"></div>
<button type="button" class="btn rounded-pill" id="pst-back-to-top">
<i class="fa-solid fa-arrow-up"></i>
Back to top
</button>
<input type="checkbox"
class="sidebar-toggle"
name="__primary"
id="__primary"/>
<label class="overlay overlay-primary" for="__primary"></label>
<input type="checkbox"
class="sidebar-toggle"
name="__secondary"
id="__secondary"/>
<label class="overlay overlay-secondary" for="__secondary"></label>
<div class="search-button__wrapper">
<div class="search-button__overlay"></div>
<div class="search-button__search-container">
<form class="bd-search d-flex align-items-center"
action="../search.html"
method="get">
<i class="fa-solid fa-magnifying-glass"></i>
<input type="search"
class="form-control"
name="q"
id="search-input"
placeholder="Search..."
aria-label="Search..."
autocomplete="off"
autocorrect="off"
autocapitalize="off"
spellcheck="false"/>
<span class="search-button__kbd-shortcut"><kbd class="kbd-shortcut__modifier">Ctrl</kbd>+<kbd>K</kbd></span>
</form></div>
</div>
<nav class="bd-header navbar navbar-expand-lg bd-navbar">
</nav>
<div class="bd-container">
<div class="bd-container__inner bd-page-width">
<div class="bd-sidebar-primary bd-sidebar">
<div class="sidebar-header-items sidebar-primary__section">
</div>
<div class="sidebar-primary-items__start sidebar-primary__section">
<div class="sidebar-primary-item">
<a class="navbar-brand logo" href="../index.html">
<img src="../_static/mlx_logo.png" class="logo__image only-light" alt="MLX 0.6.0 documentation - Home"/>
<script>document.write(`<img src="../_static/mlx_logo_dark.png" class="logo__image only-dark" alt="MLX 0.6.0 documentation - Home"/>`);</script>
</a></div>
<div class="sidebar-primary-item"><nav class="bd-links" id="bd-docs-nav" aria-label="Main">
<div class="bd-toc-item navbar-nav active">
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Install</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="../install.html">Build and Install</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Usage</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="../usage/quick_start.html">Quick Start Guide</a></li>
<li class="toctree-l1"><a class="reference internal" href="../usage/lazy_evaluation.html">Lazy Evaluation</a></li>
<li class="toctree-l1"><a class="reference internal" href="../usage/unified_memory.html">Unified Memory</a></li>
<li class="toctree-l1"><a class="reference internal" href="../usage/indexing.html">Indexing Arrays</a></li>
<li class="toctree-l1"><a class="reference internal" href="../usage/saving_and_loading.html">Saving and Loading Arrays</a></li>
<li class="toctree-l1"><a class="reference internal" href="../usage/function_transforms.html">Function Transforms</a></li>
<li class="toctree-l1"><a class="reference internal" href="../usage/compile.html">Compilation</a></li>
<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/using_streams.html">Using Streams</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Examples</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="../examples/linear_regression.html">Linear Regression</a></li>
<li class="toctree-l1"><a class="reference internal" href="../examples/mlp.html">Multi-Layer Perceptron</a></li>
<li class="toctree-l1"><a class="reference internal" href="../examples/llama-inference.html">LLM inference</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Python API Reference</span></p>
<ul class="current nav bd-sidenav">
<li class="toctree-l1 has-children"><a class="reference internal" href="array.html">Array</a><input class="toctree-checkbox" id="toctree-checkbox-1" name="toctree-checkbox-1" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-1"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.html">mlx.core.array</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.astype.html">mlx.core.array.astype</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.item.html">mlx.core.array.item</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.tolist.html">mlx.core.array.tolist</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.dtype.html">mlx.core.array.dtype</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.ndim.html">mlx.core.array.ndim</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.shape.html">mlx.core.array.shape</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.size.html">mlx.core.array.size</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.Dtype.html">mlx.core.Dtype</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.abs.html">mlx.core.array.abs</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.all.html">mlx.core.array.all</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.any.html">mlx.core.array.any</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.argmax.html">mlx.core.array.argmax</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.argmin.html">mlx.core.array.argmin</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.cos.html">mlx.core.array.cos</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.dtype.html">mlx.core.array.dtype</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.exp.html">mlx.core.array.exp</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.log.html">mlx.core.array.log</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.log1p.html">mlx.core.array.log1p</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.logsumexp.html">mlx.core.array.logsumexp</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.max.html">mlx.core.array.max</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.mean.html">mlx.core.array.mean</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.min.html">mlx.core.array.min</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.prod.html">mlx.core.array.prod</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.reciprocal.html">mlx.core.array.reciprocal</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.reshape.html">mlx.core.array.reshape</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.round.html">mlx.core.array.round</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.rsqrt.html">mlx.core.array.rsqrt</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.sin.html">mlx.core.array.sin</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.split.html">mlx.core.array.split</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.sqrt.html">mlx.core.array.sqrt</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.square.html">mlx.core.array.square</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.sum.html">mlx.core.array.sum</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.transpose.html">mlx.core.array.transpose</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.T.html">mlx.core.array.T</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array.var.html">mlx.core.array.var</a></li>
</ul>
</li>
<li class="toctree-l1 has-children"><a class="reference internal" href="devices_and_streams.html">Devices and Streams</a><input class="toctree-checkbox" id="toctree-checkbox-2" name="toctree-checkbox-2" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-2"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.Device.html">mlx.core.Device</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/stream_class.html">mlx.core.Stream</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.default_device.html">mlx.core.default_device</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.set_default_device.html">mlx.core.set_default_device</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.default_stream.html">mlx.core.default_stream</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.new_stream.html">mlx.core.new_stream</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.set_default_stream.html">mlx.core.set_default_stream</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.stream.html">mlx.core.stream</a></li>
</ul>
</li>
<li class="toctree-l1 has-children"><a class="reference internal" href="ops.html">Operations</a><input class="toctree-checkbox" id="toctree-checkbox-3" name="toctree-checkbox-3" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-3"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.abs.html">mlx.core.abs</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.add.html">mlx.core.add</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.all.html">mlx.core.all</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.allclose.html">mlx.core.allclose</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.any.html">mlx.core.any</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.arange.html">mlx.core.arange</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.arccos.html">mlx.core.arccos</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.arccosh.html">mlx.core.arccosh</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.arcsin.html">mlx.core.arcsin</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.arcsinh.html">mlx.core.arcsinh</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.arctan.html">mlx.core.arctan</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.arctanh.html">mlx.core.arctanh</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.argmax.html">mlx.core.argmax</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.argmin.html">mlx.core.argmin</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.argpartition.html">mlx.core.argpartition</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.argsort.html">mlx.core.argsort</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.array_equal.html">mlx.core.array_equal</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.atleast_1d.html">mlx.core.atleast_1d</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.atleast_2d.html">mlx.core.atleast_2d</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.atleast_3d.html">mlx.core.atleast_3d</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.broadcast_to.html">mlx.core.broadcast_to</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.ceil.html">mlx.core.ceil</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.clip.html">mlx.core.clip</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.concatenate.html">mlx.core.concatenate</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.convolve.html">mlx.core.convolve</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.conv1d.html">mlx.core.conv1d</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.conv2d.html">mlx.core.conv2d</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.conv_general.html">mlx.core.conv_general</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.cos.html">mlx.core.cos</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.cosh.html">mlx.core.cosh</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.dequantize.html">mlx.core.dequantize</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.diag.html">mlx.core.diag</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.diagonal.html">mlx.core.diagonal</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.divide.html">mlx.core.divide</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.divmod.html">mlx.core.divmod</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.equal.html">mlx.core.equal</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.erf.html">mlx.core.erf</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.erfinv.html">mlx.core.erfinv</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.exp.html">mlx.core.exp</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.expand_dims.html">mlx.core.expand_dims</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.eye.html">mlx.core.eye</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.flatten.html">mlx.core.flatten</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.floor.html">mlx.core.floor</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.floor_divide.html">mlx.core.floor_divide</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.full.html">mlx.core.full</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.greater.html">mlx.core.greater</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.greater_equal.html">mlx.core.greater_equal</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.identity.html">mlx.core.identity</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.inner.html">mlx.core.inner</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.isclose.html">mlx.core.isclose</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.isnan.html">mlx.core.isnan</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.isposinf.html">mlx.core.isposinf</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.isneginf.html">mlx.core.isneginf</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.isinf.html">mlx.core.isinf</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.less.html">mlx.core.less</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.less_equal.html">mlx.core.less_equal</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.linspace.html">mlx.core.linspace</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.load.html">mlx.core.load</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.log.html">mlx.core.log</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.log2.html">mlx.core.log2</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.log10.html">mlx.core.log10</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.log1p.html">mlx.core.log1p</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.logaddexp.html">mlx.core.logaddexp</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.logical_not.html">mlx.core.logical_not</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.logical_and.html">mlx.core.logical_and</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.logical_or.html">mlx.core.logical_or</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.logsumexp.html">mlx.core.logsumexp</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.matmul.html">mlx.core.matmul</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.max.html">mlx.core.max</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.maximum.html">mlx.core.maximum</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.mean.html">mlx.core.mean</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.min.html">mlx.core.min</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.minimum.html">mlx.core.minimum</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.moveaxis.html">mlx.core.moveaxis</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.multiply.html">mlx.core.multiply</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.negative.html">mlx.core.negative</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.ones.html">mlx.core.ones</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.ones_like.html">mlx.core.ones_like</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.outer.html">mlx.core.outer</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.partition.html">mlx.core.partition</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.pad.html">mlx.core.pad</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.prod.html">mlx.core.prod</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.quantize.html">mlx.core.quantize</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.quantized_matmul.html">mlx.core.quantized_matmul</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.reciprocal.html">mlx.core.reciprocal</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.repeat.html">mlx.core.repeat</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.reshape.html">mlx.core.reshape</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.round.html">mlx.core.round</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.rsqrt.html">mlx.core.rsqrt</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.save.html">mlx.core.save</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.savez.html">mlx.core.savez</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.savez_compressed.html">mlx.core.savez_compressed</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.save_gguf.html">mlx.core.save_gguf</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.save_safetensors.html">mlx.core.save_safetensors</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.sigmoid.html">mlx.core.sigmoid</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.sign.html">mlx.core.sign</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.sin.html">mlx.core.sin</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.sinh.html">mlx.core.sinh</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.softmax.html">mlx.core.softmax</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.sort.html">mlx.core.sort</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.split.html">mlx.core.split</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.sqrt.html">mlx.core.sqrt</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.square.html">mlx.core.square</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.squeeze.html">mlx.core.squeeze</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.stack.html">mlx.core.stack</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.stop_gradient.html">mlx.core.stop_gradient</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.subtract.html">mlx.core.subtract</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.sum.html">mlx.core.sum</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.swapaxes.html">mlx.core.swapaxes</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.take.html">mlx.core.take</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.take_along_axis.html">mlx.core.take_along_axis</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.tan.html">mlx.core.tan</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.tanh.html">mlx.core.tanh</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.tensordot.html">mlx.core.tensordot</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.tile.html">mlx.core.tile</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.topk.html">mlx.core.topk</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.transpose.html">mlx.core.transpose</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.tri.html">mlx.core.tri</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.tril.html">mlx.core.tril</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.triu.html">mlx.core.triu</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.var.html">mlx.core.var</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.where.html">mlx.core.where</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.zeros.html">mlx.core.zeros</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.zeros_like.html">mlx.core.zeros_like</a></li>
</ul>
</li>
<li class="toctree-l1 has-children"><a class="reference internal" href="random.html">Random</a><input class="toctree-checkbox" id="toctree-checkbox-4" name="toctree-checkbox-4" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-4"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.random.bernoulli.html">mlx.core.random.bernoulli</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.random.categorical.html">mlx.core.random.categorical</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.random.gumbel.html">mlx.core.random.gumbel</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.random.key.html">mlx.core.random.key</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.random.normal.html">mlx.core.random.normal</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.random.randint.html">mlx.core.random.randint</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.random.seed.html">mlx.core.random.seed</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.random.split.html">mlx.core.random.split</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.random.truncated_normal.html">mlx.core.random.truncated_normal</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.random.uniform.html">mlx.core.random.uniform</a></li>
</ul>
</li>
<li class="toctree-l1 has-children"><a class="reference internal" href="transforms.html">Transforms</a><input class="toctree-checkbox" id="toctree-checkbox-5" name="toctree-checkbox-5" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-5"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.eval.html">mlx.core.eval</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.compile.html">mlx.core.compile</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.disable_compile.html">mlx.core.disable_compile</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.enable_compile.html">mlx.core.enable_compile</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.grad.html">mlx.core.grad</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.value_and_grad.html">mlx.core.value_and_grad</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.jvp.html">mlx.core.jvp</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.vjp.html">mlx.core.vjp</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.vmap.html">mlx.core.vmap</a></li>
</ul>
</li>
<li class="toctree-l1 has-children"><a class="reference internal" href="fft.html">FFT</a><input class="toctree-checkbox" id="toctree-checkbox-6" name="toctree-checkbox-6" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-6"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.fft.fft.html">mlx.core.fft.fft</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.fft.ifft.html">mlx.core.fft.ifft</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.fft.fft2.html">mlx.core.fft.fft2</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.fft.ifft2.html">mlx.core.fft.ifft2</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.fft.fftn.html">mlx.core.fft.fftn</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.fft.ifftn.html">mlx.core.fft.ifftn</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.fft.rfft.html">mlx.core.fft.rfft</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.fft.irfft.html">mlx.core.fft.irfft</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.fft.rfft2.html">mlx.core.fft.rfft2</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.fft.irfft2.html">mlx.core.fft.irfft2</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.fft.rfftn.html">mlx.core.fft.rfftn</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.fft.irfftn.html">mlx.core.fft.irfftn</a></li>
</ul>
</li>
<li class="toctree-l1 has-children"><a class="reference internal" href="linalg.html">Linear Algebra</a><input class="toctree-checkbox" id="toctree-checkbox-7" name="toctree-checkbox-7" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-7"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.linalg.norm.html">mlx.core.linalg.norm</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.linalg.qr.html">mlx.core.linalg.qr</a></li>
</ul>
</li>
<li class="toctree-l1 has-children"><a class="reference internal" href="metal.html">Metal</a><input class="toctree-checkbox" id="toctree-checkbox-8" name="toctree-checkbox-8" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-8"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.metal.is_available.html">mlx.core.metal.is_available</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.metal.get_active_memory.html">mlx.core.metal.get_active_memory</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.metal.get_peak_memory.html">mlx.core.metal.get_peak_memory</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.metal.get_cache_memory.html">mlx.core.metal.get_cache_memory</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.metal.set_memory_limit.html">mlx.core.metal.set_memory_limit</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.metal.set_cache_limit.html">mlx.core.metal.set_cache_limit</a></li>
</ul>
</li>
<li class="toctree-l1 has-children"><a class="reference internal" href="nn.html">Neural Networks</a><input class="toctree-checkbox" id="toctree-checkbox-9" name="toctree-checkbox-9" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-9"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.nn.value_and_grad.html">mlx.nn.value_and_grad</a></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="nn/module.html">Module</a><input class="toctree-checkbox" id="toctree-checkbox-10" name="toctree-checkbox-10" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-10"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Module.training.html">mlx.nn.Module.training</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Module.state.html">mlx.nn.Module.state</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Module.apply.html">mlx.nn.Module.apply</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Module.apply_to_modules.html">mlx.nn.Module.apply_to_modules</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Module.children.html">mlx.nn.Module.children</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Module.eval.html">mlx.nn.Module.eval</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Module.filter_and_map.html">mlx.nn.Module.filter_and_map</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Module.freeze.html">mlx.nn.Module.freeze</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Module.leaf_modules.html">mlx.nn.Module.leaf_modules</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Module.load_weights.html">mlx.nn.Module.load_weights</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Module.modules.html">mlx.nn.Module.modules</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Module.named_modules.html">mlx.nn.Module.named_modules</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Module.parameters.html">mlx.nn.Module.parameters</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Module.save_weights.html">mlx.nn.Module.save_weights</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Module.train.html">mlx.nn.Module.train</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Module.trainable_parameters.html">mlx.nn.Module.trainable_parameters</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Module.unfreeze.html">mlx.nn.Module.unfreeze</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Module.update.html">mlx.nn.Module.update</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Module.update_modules.html">mlx.nn.Module.update_modules</a></li>
</ul>
</li>
<li class="toctree-l2 has-children"><a class="reference internal" href="nn/layers.html">Layers</a><input class="toctree-checkbox" id="toctree-checkbox-11" name="toctree-checkbox-11" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-11"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.ALiBi.html">mlx.nn.ALiBi</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.AvgPool1d.html">mlx.nn.AvgPool1d</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.AvgPool2d.html">mlx.nn.AvgPool2d</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.BatchNorm.html">mlx.nn.BatchNorm</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Conv1d.html">mlx.nn.Conv1d</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Conv2d.html">mlx.nn.Conv2d</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Dropout.html">mlx.nn.Dropout</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Dropout2d.html">mlx.nn.Dropout2d</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Dropout3d.html">mlx.nn.Dropout3d</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Embedding.html">mlx.nn.Embedding</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.GELU.html">mlx.nn.GELU</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.GroupNorm.html">mlx.nn.GroupNorm</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.GRU.html">mlx.nn.GRU</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.InstanceNorm.html">mlx.nn.InstanceNorm</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.LayerNorm.html">mlx.nn.LayerNorm</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Linear.html">mlx.nn.Linear</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.LSTM.html">mlx.nn.LSTM</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.MaxPool1d.html">mlx.nn.MaxPool1d</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.MaxPool2d.html">mlx.nn.MaxPool2d</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Mish.html">mlx.nn.Mish</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.MultiHeadAttention.html">mlx.nn.MultiHeadAttention</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.PReLU.html">mlx.nn.PReLU</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.QuantizedLinear.html">mlx.nn.QuantizedLinear</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.RMSNorm.html">mlx.nn.RMSNorm</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.ReLU.html">mlx.nn.ReLU</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.RNN.html">mlx.nn.RNN</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.RoPE.html">mlx.nn.RoPE</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.SELU.html">mlx.nn.SELU</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Sequential.html">mlx.nn.Sequential</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.SiLU.html">mlx.nn.SiLU</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.SinusoidalPositionalEncoding.html">mlx.nn.SinusoidalPositionalEncoding</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Softshrink.html">mlx.nn.Softshrink</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Step.html">mlx.nn.Step</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Transformer.html">mlx.nn.Transformer</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.Upsample.html">mlx.nn.Upsample</a></li>
</ul>
</li>
<li class="toctree-l2 has-children"><a class="reference internal" href="nn/functions.html">Functions</a><input class="toctree-checkbox" id="toctree-checkbox-12" name="toctree-checkbox-12" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-12"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.elu.html">mlx.nn.elu</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.gelu.html">mlx.nn.gelu</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.gelu_approx.html">mlx.nn.gelu_approx</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.gelu_fast_approx.html">mlx.nn.gelu_fast_approx</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.glu.html">mlx.nn.glu</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.hardswish.html">mlx.nn.hardswish</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.leaky_relu.html">mlx.nn.leaky_relu</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.log_sigmoid.html">mlx.nn.log_sigmoid</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.log_softmax.html">mlx.nn.log_softmax</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.mish.html">mlx.nn.mish</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.prelu.html">mlx.nn.prelu</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.relu.html">mlx.nn.relu</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.relu6.html">mlx.nn.relu6</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.selu.html">mlx.nn.selu</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.sigmoid.html">mlx.nn.sigmoid</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.silu.html">mlx.nn.silu</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.softmax.html">mlx.nn.softmax</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.softplus.html">mlx.nn.softplus</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.softshrink.html">mlx.nn.softshrink</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.step.html">mlx.nn.step</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.tanh.html">mlx.nn.tanh</a></li>
</ul>
</li>
<li class="toctree-l2 has-children"><a class="reference internal" href="nn/losses.html">Loss Functions</a><input class="toctree-checkbox" id="toctree-checkbox-13" name="toctree-checkbox-13" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-13"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.losses.binary_cross_entropy.html">mlx.nn.losses.binary_cross_entropy</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.losses.cosine_similarity_loss.html">mlx.nn.losses.cosine_similarity_loss</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.losses.cross_entropy.html">mlx.nn.losses.cross_entropy</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.losses.gaussian_nll_loss.html">mlx.nn.losses.gaussian_nll_loss</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.losses.hinge_loss.html">mlx.nn.losses.hinge_loss</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.losses.huber_loss.html">mlx.nn.losses.huber_loss</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.losses.kl_div_loss.html">mlx.nn.losses.kl_div_loss</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.losses.l1_loss.html">mlx.nn.losses.l1_loss</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.losses.log_cosh_loss.html">mlx.nn.losses.log_cosh_loss</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.losses.margin_ranking_loss.html">mlx.nn.losses.margin_ranking_loss</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.losses.mse_loss.html">mlx.nn.losses.mse_loss</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.losses.nll_loss.html">mlx.nn.losses.nll_loss</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.losses.smooth_l1_loss.html">mlx.nn.losses.smooth_l1_loss</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary_functions/mlx.nn.losses.triplet_loss.html">mlx.nn.losses.triplet_loss</a></li>
</ul>
</li>
<li class="toctree-l2 has-children"><a class="reference internal" href="nn/init.html">Initializers</a><input class="toctree-checkbox" id="toctree-checkbox-14" name="toctree-checkbox-14" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-14"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.init.constant.html">mlx.nn.init.constant</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.init.normal.html">mlx.nn.init.normal</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.init.uniform.html">mlx.nn.init.uniform</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.init.identity.html">mlx.nn.init.identity</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.init.glorot_normal.html">mlx.nn.init.glorot_normal</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.init.glorot_uniform.html">mlx.nn.init.glorot_uniform</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.init.he_normal.html">mlx.nn.init.he_normal</a></li>
<li class="toctree-l3"><a class="reference internal" href="nn/_autosummary/mlx.nn.init.he_uniform.html">mlx.nn.init.he_uniform</a></li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l1 current active has-children"><a class="current reference internal" href="#">Optimizers</a><input checked="" class="toctree-checkbox" id="toctree-checkbox-15" name="toctree-checkbox-15" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-15"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l2 has-children"><a class="reference internal" href="optimizers/optimizer.html">Optimizer</a><input class="toctree-checkbox" id="toctree-checkbox-16" name="toctree-checkbox-16" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-16"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.Optimizer.state.html">mlx.optimizers.Optimizer.state</a></li>
<li class="toctree-l3"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.Optimizer.apply_gradients.html">mlx.optimizers.Optimizer.apply_gradients</a></li>
<li class="toctree-l3"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.Optimizer.init.html">mlx.optimizers.Optimizer.init</a></li>
<li class="toctree-l3"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.Optimizer.update.html">mlx.optimizers.Optimizer.update</a></li>
</ul>
</li>
<li class="toctree-l2 has-children"><a class="reference internal" href="optimizers/common_optimizers.html">Common Optimizers</a><input class="toctree-checkbox" id="toctree-checkbox-17" name="toctree-checkbox-17" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-17"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.SGD.html">mlx.optimizers.SGD</a></li>
<li class="toctree-l3"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.RMSprop.html">mlx.optimizers.RMSprop</a></li>
<li class="toctree-l3"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.Adagrad.html">mlx.optimizers.Adagrad</a></li>
<li class="toctree-l3"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.Adafactor.html">mlx.optimizers.Adafactor</a></li>
<li class="toctree-l3"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.AdaDelta.html">mlx.optimizers.AdaDelta</a></li>
<li class="toctree-l3"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.Adam.html">mlx.optimizers.Adam</a></li>
<li class="toctree-l3"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.AdamW.html">mlx.optimizers.AdamW</a></li>
<li class="toctree-l3"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.Adamax.html">mlx.optimizers.Adamax</a></li>
<li class="toctree-l3"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.Lion.html">mlx.optimizers.Lion</a></li>
</ul>
</li>
<li class="toctree-l2 has-children"><a class="reference internal" href="optimizers/schedulers.html">Schedulers</a><input class="toctree-checkbox" id="toctree-checkbox-18" name="toctree-checkbox-18" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-18"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.cosine_decay.html">mlx.optimizers.cosine_decay</a></li>
<li class="toctree-l3"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.exponential_decay.html">mlx.optimizers.exponential_decay</a></li>
<li class="toctree-l3"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.join_schedules.html">mlx.optimizers.join_schedules</a></li>
<li class="toctree-l3"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.linear_schedule.html">mlx.optimizers.linear_schedule</a></li>
<li class="toctree-l3"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.step_decay.html">mlx.optimizers.step_decay</a></li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l1 has-children"><a class="reference internal" href="tree_utils.html">Tree Utils</a><input class="toctree-checkbox" id="toctree-checkbox-19" name="toctree-checkbox-19" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-19"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.utils.tree_flatten.html">mlx.utils.tree_flatten</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.utils.tree_unflatten.html">mlx.utils.tree_unflatten</a></li>
<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.utils.tree_map.html">mlx.utils.tree_map</a></li>
</ul>
</li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">C++ API Reference</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="../cpp/ops.html">Operations</a></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Further Reading</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1"><a class="reference internal" href="../dev/extensions.html">Developer Documentation</a></li>
</ul>
</div>
</nav></div>
</div>
<div class="sidebar-primary-items__end sidebar-primary__section">
</div>
<div id="rtd-footer-container"></div>
</div>
<main id="main-content" class="bd-main">
<div class="sbt-scroll-pixel-helper"></div>
<div class="bd-content">
<div class="bd-article-container">
<div class="bd-header-article">
<div class="header-article-items header-article__inner">
<div class="header-article-items__start">
<div class="header-article-item"><label class="sidebar-toggle primary-toggle btn btn-sm" for="__primary" title="Toggle primary sidebar" data-bs-placement="bottom" data-bs-toggle="tooltip">
<span class="fa-solid fa-bars"></span>
</label></div>
</div>
<div class="header-article-items__end">
<div class="header-article-item">
<div class="article-header-buttons">
<a href="https://github.com/ml-explore/mlx" target="_blank"
class="btn btn-sm btn-source-repository-button"
title="Source repository"
data-bs-placement="bottom" data-bs-toggle="tooltip"
>
<span class="btn__icon-container">
<i class="fab fa-github"></i>
</span>
</a>
<div class="dropdown dropdown-download-buttons">
<button class="btn dropdown-toggle" type="button" data-bs-toggle="dropdown" aria-expanded="false" aria-label="Download this page">
<i class="fas fa-download"></i>
</button>
<ul class="dropdown-menu">
<li><a href="../_sources/python/optimizers.rst" target="_blank"
class="btn btn-sm btn-download-source-button dropdown-item"
title="Download source file"
data-bs-placement="left" data-bs-toggle="tooltip"
>
<span class="btn__icon-container">
<i class="fas fa-file"></i>
</span>
<span class="btn__text-container">.rst</span>
</a>
</li>
<li>
<button onclick="window.print()"
class="btn btn-sm btn-download-pdf-button dropdown-item"
title="Print to PDF"
data-bs-placement="left" data-bs-toggle="tooltip"
>
<span class="btn__icon-container">
<i class="fas fa-file-pdf"></i>
</span>
<span class="btn__text-container">.pdf</span>
</button>
</li>
</ul>
</div>
<button onclick="toggleFullScreen()"
class="btn btn-sm btn-fullscreen-button"
title="Fullscreen mode"
data-bs-placement="bottom" data-bs-toggle="tooltip"
>
<span class="btn__icon-container">
<i class="fas fa-expand"></i>
</span>
</button>
<script>
document.write(`
<button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
<span class="theme-switch nav-link" data-mode="light"><i class="fa-solid fa-sun fa-lg"></i></span>
<span class="theme-switch nav-link" data-mode="dark"><i class="fa-solid fa-moon fa-lg"></i></span>
<span class="theme-switch nav-link" data-mode="auto"><i class="fa-solid fa-circle-half-stroke fa-lg"></i></span>
</button>
`);
</script>
<script>
document.write(`
<button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
<i class="fa-solid fa-magnifying-glass fa-lg"></i>
</button>
`);
</script>
</div></div>
</div>
</div>
</div>
<div id="jb-print-docs-body" class="onlyprint">
<h1>Optimizers</h1>
<!-- Table of contents -->
<div id="print-main-content">
<div id="jb-print-toc">
</div>
</div>
</div>
<div id="searchbox"></div>
<article class="bd-article" role="main">
<section id="optimizers">
<span id="id1"></span><h1>Optimizers<a class="headerlink" href="#optimizers" title="Permalink to this heading">#</a></h1>
<p>The optimizers in MLX can be used both with <code class="xref py py-mod docutils literal notranslate"><span class="pre">mlx.nn</span></code> but also with pure
<code class="xref py py-mod docutils literal notranslate"><span class="pre">mlx.core</span></code> functions. A typical example involves calling
<code class="xref py py-meth docutils literal notranslate"><span class="pre">Optimizer.update()</span></code> to update a models parameters based on the loss
gradients and subsequently calling <a class="reference internal" href="_autosummary/mlx.core.eval.html#mlx.core.eval" title="mlx.core.eval"><code class="xref py py-func docutils literal notranslate"><span class="pre">mlx.core.eval()</span></code></a> to evaluate both the
models parameters and the <strong>optimizer state</strong>.</p>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="c1"># Create a model</span>
<span class="n">model</span> <span class="o">=</span> <span class="n">MLP</span><span class="p">(</span><span class="n">num_layers</span><span class="p">,</span> <span class="n">train_images</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">],</span> <span class="n">hidden_dim</span><span class="p">,</span> <span class="n">num_classes</span><span class="p">)</span>
<span class="n">mx</span><span class="o">.</span><span class="n">eval</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">parameters</span><span class="p">())</span>
<span class="c1"># Create the gradient function and the optimizer</span>
<span class="n">loss_and_grad_fn</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">value_and_grad</span><span class="p">(</span><span class="n">model</span><span class="p">,</span> <span class="n">loss_fn</span><span class="p">)</span>
<span class="n">optimizer</span> <span class="o">=</span> <span class="n">optim</span><span class="o">.</span><span class="n">SGD</span><span class="p">(</span><span class="n">learning_rate</span><span class="o">=</span><span class="n">learning_rate</span><span class="p">)</span>
<span class="k">for</span> <span class="n">e</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">num_epochs</span><span class="p">):</span>
<span class="k">for</span> <span class="n">X</span><span class="p">,</span> <span class="n">y</span> <span class="ow">in</span> <span class="n">batch_iterate</span><span class="p">(</span><span class="n">batch_size</span><span class="p">,</span> <span class="n">train_images</span><span class="p">,</span> <span class="n">train_labels</span><span class="p">):</span>
<span class="n">loss</span><span class="p">,</span> <span class="n">grads</span> <span class="o">=</span> <span class="n">loss_and_grad_fn</span><span class="p">(</span><span class="n">model</span><span class="p">,</span> <span class="n">X</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span>
<span class="c1"># Update the model with the gradients. So far no computation has happened.</span>
<span class="n">optimizer</span><span class="o">.</span><span class="n">update</span><span class="p">(</span><span class="n">model</span><span class="p">,</span> <span class="n">grads</span><span class="p">)</span>
<span class="c1"># Compute the new parameters but also the optimizer state.</span>
<span class="n">mx</span><span class="o">.</span><span class="n">eval</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">parameters</span><span class="p">(),</span> <span class="n">optimizer</span><span class="o">.</span><span class="n">state</span><span class="p">)</span>
</pre></div>
</div>
<div class="toctree-wrapper compound">
<ul>
<li class="toctree-l1"><a class="reference internal" href="optimizers/optimizer.html">Optimizer</a><ul>
<li class="toctree-l2"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.Optimizer.state.html">mlx.optimizers.Optimizer.state</a></li>
<li class="toctree-l2"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.Optimizer.apply_gradients.html">mlx.optimizers.Optimizer.apply_gradients</a></li>
<li class="toctree-l2"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.Optimizer.init.html">mlx.optimizers.Optimizer.init</a></li>
<li class="toctree-l2"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.Optimizer.update.html">mlx.optimizers.Optimizer.update</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="optimizers/common_optimizers.html">Common Optimizers</a><ul>
<li class="toctree-l2"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.SGD.html">mlx.optimizers.SGD</a></li>
<li class="toctree-l2"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.RMSprop.html">mlx.optimizers.RMSprop</a></li>
<li class="toctree-l2"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.Adagrad.html">mlx.optimizers.Adagrad</a></li>
<li class="toctree-l2"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.Adafactor.html">mlx.optimizers.Adafactor</a></li>
<li class="toctree-l2"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.AdaDelta.html">mlx.optimizers.AdaDelta</a></li>
<li class="toctree-l2"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.Adam.html">mlx.optimizers.Adam</a></li>
<li class="toctree-l2"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.AdamW.html">mlx.optimizers.AdamW</a></li>
<li class="toctree-l2"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.Adamax.html">mlx.optimizers.Adamax</a></li>
<li class="toctree-l2"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.Lion.html">mlx.optimizers.Lion</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="optimizers/schedulers.html">Schedulers</a><ul>
<li class="toctree-l2"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.cosine_decay.html">mlx.optimizers.cosine_decay</a></li>
<li class="toctree-l2"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.exponential_decay.html">mlx.optimizers.exponential_decay</a></li>
<li class="toctree-l2"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.join_schedules.html">mlx.optimizers.join_schedules</a></li>
<li class="toctree-l2"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.linear_schedule.html">mlx.optimizers.linear_schedule</a></li>
<li class="toctree-l2"><a class="reference internal" href="optimizers/_autosummary/mlx.optimizers.step_decay.html">mlx.optimizers.step_decay</a></li>
</ul>
</li>
</ul>
</div>
</section>
</article>
<footer class="prev-next-footer">
<div class="prev-next-area">
<a class="left-prev"
href="nn/_autosummary/mlx.nn.init.he_uniform.html"
title="previous page">
<i class="fa-solid fa-angle-left"></i>
<div class="prev-next-info">
<p class="prev-next-subtitle">previous</p>
<p class="prev-next-title">mlx.nn.init.he_uniform</p>
</div>
</a>
<a class="right-next"
href="optimizers/optimizer.html"
title="next page">
<div class="prev-next-info">
<p class="prev-next-subtitle">next</p>
<p class="prev-next-title">Optimizer</p>
</div>
<i class="fa-solid fa-angle-right"></i>
</a>
</div>
</footer>
</div>
</div>
<footer class="bd-footer-content">
<div class="bd-footer-content__inner container">
<div class="footer-item">
<p class="component-author">
By MLX Contributors
</p>
</div>
<div class="footer-item">
<p class="copyright">
© Copyright 2023, MLX Contributors.
<br/>
</p>
</div>
<div class="footer-item">
</div>
<div class="footer-item">
</div>
</div>
</footer>
</main>
</div>
</div>
<!-- Scripts loaded after <body> so the DOM is not blocked -->
<script src="../_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
<script src="../_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
<footer class="bd-footer">
</footer>
</body>
</html>