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JAX: High performance array computing — JAX documentation

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class="pre">jax.experimental.custom_partitioning</span></code> module</a></li> <li class="toctree-l3"><a class="reference internal" href="jax.experimental.jet.html"><code class="docutils literal notranslate"><span class="pre">jax.experimental.jet</span></code> module</a></li> <li class="toctree-l3"><a class="reference internal" href="jax.experimental.key_reuse.html"><code class="docutils literal notranslate"><span class="pre">jax.experimental.key_reuse</span></code> module</a></li> <li class="toctree-l3"><a class="reference internal" href="jax.experimental.mesh_utils.html"><code class="docutils literal notranslate"><span class="pre">jax.experimental.mesh_utils</span></code> module</a></li> <li class="toctree-l3"><a class="reference internal" href="jax.experimental.multihost_utils.html"><code class="docutils literal notranslate"><span class="pre">jax.experimental.multihost_utils</span></code> module</a></li> <li class="toctree-l3 has-children"><a class="reference internal" 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secondary-toggle btn btn-sm" for="__secondary"title="Toggle secondary sidebar" data-bs-placement="bottom" data-bs-toggle="tooltip"> <span class="fa-solid fa-list"></span> </label> </div></div> </div> </div> </div> <div id="jb-print-docs-body" class="onlyprint"> <h1>JAX: High performance array computing</h1> <!-- Table of contents --> <div id="print-main-content"> <div id="jb-print-toc"> <div> <h2> Contents </h2> </div> <nav aria-label="Page"> <ul class="visible nav section-nav flex-column"> <li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#ecosystem">Ecosystem</a><ul class="visible nav section-nav flex-column"> </ul> </li> </ul> </nav> </div> </div> </div> <div id="searchbox"></div> <article class="bd-article" role="main"> <section id="jax-high-performance-array-computing"> <h1>JAX: High performance array computing<a class="headerlink" href="#jax-high-performance-array-computing" title="Link to this heading">#</a></h1> <script> /* Along with some CSS settings in style.css (look for `body:has(.hero)`) this will ensure that the menu sidebar is hidden on the main page. */ if (window.innerWidth >= 960) { document.getElementById("__primary").checked = true; } </script><div class="hero"> <div class="hero-left"> <img src="./_static/jax_logo_250px.png"/> <h2>High performance array computing</h2> <p>JAX is a Python library for accelerator-oriented array computation and program transformation, designed for high-performance numerical computing and large-scale machine learning.</p> </div> <img src="./_static/jax-hero.svg"/> </div><div class="sd-container-fluid sd-sphinx-override sd-m-0 sd-p-0 product-offerings docutils"> <div class="sd-row sd-row-cols-3 sd-row-cols-xs-3 sd-row-cols-sm-3 sd-row-cols-md-3 sd-row-cols-lg-3 sd-g-0 sd-g-xs-0 sd-g-sm-0 sd-g-md-0 sd-g-lg-0 docutils"> <div class="sd-col sd-d-flex-row sd-col-12 sd-col-xs-12 sd-col-sm-6 sd-col-md-6 sd-col-lg-4 docutils"> <div class="sd-card sd-sphinx-override sd-w-100 sd-shadow-none sd-border-0 docutils"> <div class="sd-card-body docutils"> <div class="sd-card-title sd-font-weight-bold docutils"> Familiar API</div> <p class="sd-card-text">JAX provides a familiar NumPy-style API for ease of adoption by researchers and engineers.</p> </div> </div> </div> <div class="sd-col sd-d-flex-row sd-col-12 sd-col-xs-12 sd-col-sm-6 sd-col-md-6 sd-col-lg-4 docutils"> <div class="sd-card sd-sphinx-override sd-w-100 sd-shadow-none sd-border-0 docutils"> <div class="sd-card-body docutils"> <div class="sd-card-title sd-font-weight-bold docutils"> Transformations</div> <p class="sd-card-text">JAX includes composable function transformations for compilation, batching, automatic differentiation, and parallelization.</p> </div> </div> </div> <div class="sd-col sd-d-flex-row sd-col-12 sd-col-xs-12 sd-col-sm-6 sd-col-md-6 sd-col-lg-4 docutils"> <div class="sd-card sd-sphinx-override sd-w-100 sd-shadow-none sd-border-0 docutils"> <div class="sd-card-body docutils"> <div class="sd-card-title sd-font-weight-bold docutils"> Run anywhere</div> <p class="sd-card-text">The same code executes on multiple backends, including CPU, GPU, &amp; TPU</p> </div> </div> </div> </div> </div> <div class="sd-container-fluid sd-sphinx-override sd-mb-4 color-cards docutils"> <div class="sd-row sd-row-cols-3 sd-row-cols-xs-3 sd-row-cols-sm-3 sd-row-cols-md-3 sd-row-cols-lg-3 docutils"> <div class="sd-col sd-d-flex-row sd-col-12 sd-col-xs-12 sd-col-sm-6 sd-col-md-6 sd-col-lg-4 docutils"> <div class="sd-card sd-sphinx-override sd-w-100 sd-shadow-sm sd-card-hover installation docutils"> <div class="sd-card-body docutils"> <div class="sd-card-title sd-font-weight-bold docutils"> <svg version="4.0.0.63c5cb3" width="2.0em" height="2.0em" class="sd-material-icon sd-material-icon-laptop_chromebook" viewBox="0 0 24 24" aria-hidden="true"><path d="M0 0h24v24H0z" fill="none"></path><path d="M22 18V3H2v15H0v2h24v-2h-2zm-8 0h-4v-1h4v1zm6-3H4V5h16v10z"></path></svg> Installation</div> </div> <a class="sd-stretched-link sd-hide-link-text reference internal" href="installation.html#installation"><span class="std std-ref">Installation</span></a></div> </div> <div class="sd-col sd-d-flex-row sd-col-12 sd-col-xs-12 sd-col-sm-6 sd-col-md-6 sd-col-lg-4 docutils"> <div class="sd-card sd-sphinx-override sd-w-100 sd-shadow-sm sd-card-hover getting-started docutils"> <div class="sd-card-body docutils"> <div class="sd-card-title sd-font-weight-bold docutils"> <svg version="4.0.0.63c5cb3" width="2.0em" height="2.0em" class="sd-material-icon sd-material-icon-rocket_launch" viewBox="0 0 24 24" aria-hidden="true"><g><rect fill="none" height="24" width="24"></rect></g><g><g><path d="M9.19,6.35c-2.04,2.29-3.44,5.58-3.57,5.89L2,10.69l4.05-4.05c0.47-0.47,1.15-0.68,1.81-0.55L9.19,6.35L9.19,6.35z M11.17,17c0,0,3.74-1.55,5.89-3.7c5.4-5.4,4.5-9.62,4.21-10.57c-0.95-0.3-5.17-1.19-10.57,4.21C8.55,9.09,7,12.83,7,12.83 L11.17,17z M17.65,14.81c-2.29,2.04-5.58,3.44-5.89,3.57L13.31,22l4.05-4.05c0.47-0.47,0.68-1.15,0.55-1.81L17.65,14.81 L17.65,14.81z M9,18c0,0.83-0.34,1.58-0.88,2.12C6.94,21.3,2,22,2,22s0.7-4.94,1.88-6.12C4.42,15.34,5.17,15,6,15 C7.66,15,9,16.34,9,18z M13,9c0-1.1,0.9-2,2-2s2,0.9,2,2s-0.9,2-2,2S13,10.1,13,9z"></path></g></g></svg> Getting started</div> </div> <a class="sd-stretched-link sd-hide-link-text reference internal" href="beginner_guide.html#beginner-guide"><span class="std std-ref">Getting Started with JAX</span></a></div> </div> <div class="sd-col sd-d-flex-row sd-col-12 sd-col-xs-12 sd-col-sm-6 sd-col-md-6 sd-col-lg-4 docutils"> <div class="sd-card sd-sphinx-override sd-w-100 sd-shadow-sm sd-card-hover user-guides docutils"> <div class="sd-card-body docutils"> <div class="sd-card-title sd-font-weight-bold docutils"> <svg version="4.0.0.63c5cb3" width="2.0em" height="2.0em" class="sd-material-icon sd-material-icon-library_books" viewBox="0 0 24 24" aria-hidden="true"><path d="M0 0h24v24H0z" fill="none"></path><path d="M4 6H2v14c0 1.1.9 2 2 2h14v-2H4V6zm16-4H8c-1.1 0-2 .9-2 2v12c0 1.1.9 2 2 2h12c1.1 0 2-.9 2-2V4c0-1.1-.9-2-2-2zm-1 9H9V9h10v2zm-4 4H9v-2h6v2zm4-8H9V5h10v2z"></path></svg> User guides</div> </div> <a class="sd-stretched-link sd-hide-link-text reference internal" href="user_guides.html#user-guides"><span class="std std-ref">User guides</span></a></div> </div> </div> </div> <p>If you鈥檙e looking to train neural networks, use <a class="reference external" href="https://flax.readthedocs.io/">Flax</a> and start with its tutorials. For an end-to-end transformer library built on JAX, see <a class="reference external" href="https://github.com/google/maxtext/">MaxText</a>.</p> <section id="ecosystem"> <h2>Ecosystem<a class="headerlink" href="#ecosystem" title="Link to this heading">#</a></h2> <p>JAX itself is narrowly-scoped and focuses on efficient array operations &amp; program transformations. Built around JAX is an evolving ecosystem of machine learning and numerical computing tools; the following is just a small sample of what is out there:</p> <div class="sd-container-fluid sd-sphinx-override sd-mb-4 ecosystem-grid docutils"> <div class="sd-row sd-row-cols-2 sd-row-cols-xs-2 sd-row-cols-sm-2 sd-row-cols-md-2 sd-row-cols-lg-2 docutils"> <div class="sd-col sd-d-flex-column docutils"> <p><svg version="4.0.0.63c5cb3" width="2.0em" height="2.0em" class="sd-material-icon sd-material-icon-hub" viewBox="0 0 24 24" aria-hidden="true"><rect fill="none" height="24" width="24"></rect><path d="M21,6.5c-1.66,0-3,1.34-3,3c0,0.07,0,0.14,0.01,0.21l-2.03,0.68c-0.64-1.21-1.82-2.09-3.22-2.32V5.91 C14.04,5.57,15,4.4,15,3c0-1.66-1.34-3-3-3S9,1.34,9,3c0,1.4,0.96,2.57,2.25,2.91v2.16c-1.4,0.23-2.58,1.11-3.22,2.32L5.99,9.71 C6,9.64,6,9.57,6,9.5c0-1.66-1.34-3-3-3s-3,1.34-3,3s1.34,3,3,3c1.06,0,1.98-0.55,2.52-1.37l2.03,0.68 c-0.2,1.29,0.17,2.66,1.09,3.69l-1.41,1.77C6.85,17.09,6.44,17,6,17c-1.66,0-3,1.34-3,3s1.34,3,3,3s3-1.34,3-3 c0-0.68-0.22-1.3-0.6-1.8l1.41-1.77c1.36,0.76,3.02,0.75,4.37,0l1.41,1.77C15.22,18.7,15,19.32,15,20c0,1.66,1.34,3,3,3s3-1.34,3-3 s-1.34-3-3-3c-0.44,0-0.85,0.09-1.23,0.26l-1.41-1.77c0.93-1.04,1.29-2.4,1.09-3.69l2.03-0.68c0.53,0.82,1.46,1.37,2.52,1.37 c1.66,0,3-1.34,3-3S22.66,6.5,21,6.5z M3,10.5c-0.55,0-1-0.45-1-1c0-0.55,0.45-1,1-1s1,0.45,1,1C4,10.05,3.55,10.5,3,10.5z M6,21 c-0.55,0-1-0.45-1-1c0-0.55,0.45-1,1-1s1,0.45,1,1C7,20.55,6.55,21,6,21z M11,3c0-0.55,0.45-1,1-1s1,0.45,1,1c0,0.55-0.45,1-1,1 S11,3.55,11,3z M12,15c-1.38,0-2.5-1.12-2.5-2.5c0-1.38,1.12-2.5,2.5-2.5s2.5,1.12,2.5,2.5C14.5,13.88,13.38,15,12,15z M18,19 c0.55,0,1,0.45,1,1c0,0.55-0.45,1-1,1s-1-0.45-1-1C17,19.45,17.45,19,18,19z M21,10.5c-0.55,0-1-0.45-1-1c0-0.55,0.45-1,1-1 s1,0.45,1,1C22,10.05,21.55,10.5,21,10.5z"></path></svg> <strong>Neural networks</strong></p> <ul class="simple"> <li><p><a class="reference external" href="https://flax.readthedocs.io/">Flax</a></p></li> <li><p><a class="reference external" href="https://docs.kidger.site/equinox/">Equinox</a></p></li> <li><p><a class="reference external" href="https://keras.io/">Keras</a></p></li> </ul> </div> <div class="sd-col sd-d-flex-column docutils"> <p><svg version="4.0.0.63c5cb3" width="2.0em" height="2.0em" class="sd-material-icon sd-material-icon-show_chart" viewBox="0 0 24 24" aria-hidden="true"><path d="M0 0h24v24H0z" fill="none"></path><path d="M3.5 18.49l6-6.01 4 4L22 6.92l-1.41-1.41-7.09 7.97-4-4L2 16.99z"></path></svg> <strong>Optimizers &amp; solvers</strong></p> <ul class="simple"> <li><p><a class="reference external" href="https://optax.readthedocs.io/">Optax</a></p></li> <li><p><a class="reference external" href="https://github.com/patrick-kidger/optimistix">Optimistix</a></p></li> <li><p><a class="reference external" href="https://github.com/patrick-kidger/lineax">Lineax</a></p></li> <li><p><a class="reference external" href="https://docs.kidger.site/diffrax/">Diffrax</a></p></li> </ul> </div> <div class="sd-col sd-d-flex-column docutils"> <p><svg version="4.0.0.63c5cb3" width="2.0em" height="2.0em" class="sd-material-icon sd-material-icon-storage" viewBox="0 0 24 24" aria-hidden="true"><path d="M0 0h24v24H0V0z" fill="none"></path><path d="M2 20h20v-4H2v4zm2-3h2v2H4v-2zM2 4v4h20V4H2zm4 3H4V5h2v2zm-4 7h20v-4H2v4zm2-3h2v2H4v-2z"></path></svg> <strong>Data loading</strong></p> <ul class="simple"> <li><p><a class="reference external" href="https://github.com/google/grain">Grain</a></p></li> <li><p><a class="reference external" href="https://www.tensorflow.org/datasets">TensorFlow Datasets</a></p></li> <li><p><a class="reference external" href="https://huggingface.co/docs/datasets/">Hugging Face Datasets</a></p></li> </ul> </div> <div class="sd-col sd-d-flex-column docutils"> <p><svg version="4.0.0.63c5cb3" width="2.0em" height="2.0em" class="sd-material-icon sd-material-icon-construction" viewBox="0 0 24 24" aria-hidden="true"><g><rect fill="none" height="24" width="24"></rect></g><g><g><rect height="8.48" transform="matrix(0.7071 -0.7071 0.7071 0.7071 -6.8717 17.6255)" width="3" x="16.34" y="12.87"></rect><path d="M17.5,10c1.93,0,3.5-1.57,3.5-3.5c0-0.58-0.16-1.12-0.41-1.6l-2.7,2.7L16.4,6.11l2.7-2.7C18.62,3.16,18.08,3,17.5,3 C15.57,3,14,4.57,14,6.5c0,0.41,0.08,0.8,0.21,1.16l-1.85,1.85l-1.78-1.78l0.71-0.71L9.88,5.61L12,3.49 c-1.17-1.17-3.07-1.17-4.24,0L4.22,7.03l1.41,1.41H2.81L2.1,9.15l3.54,3.54l0.71-0.71V9.15l1.41,1.41l0.71-0.71l1.78,1.78 l-7.41,7.41l2.12,2.12L16.34,9.79C16.7,9.92,17.09,10,17.5,10z"></path></g></g></svg> <strong>Miscellaneous tools</strong></p> <ul class="simple"> <li><p><a class="reference external" href="https://orbax.readthedocs.io/">Orbax</a></p></li> <li><p><a class="reference external" href="https://chex.readthedocs.io/">Chex</a></p></li> </ul> </div> <div class="sd-col sd-d-flex-column docutils"> <p><svg version="4.0.0.63c5cb3" width="2.0em" height="2.0em" class="sd-material-icon sd-material-icon-lan" viewBox="0 0 24 24" aria-hidden="true"><g><rect fill="none" height="24" width="24"></rect></g><g><polygon points="13,22 21,22 21,15 18,15 18,11 13,11 13,9 16,9 16,2 8,2 8,9 11,9 11,11 6,11 6,15 3,15 3,22 11,22 11,15 8,15 8,13 16,13 16,15 13,15"></polygon></g></svg> <strong>Probabilistic programming</strong></p> <ul class="simple"> <li><p><a class="reference external" href="https://blackjax-devs.github.io/blackjax/">Blackjax</a></p></li> <li><p><a class="reference external" href="https://num.pyro.ai/en/latest/index.html">Numpyro</a></p></li> <li><p><a class="reference external" href="https://www.pymc.io/">PyMC</a></p></li> </ul> </div> <div class="sd-col sd-d-flex-column docutils"> <p><svg version="4.0.0.63c5cb3" width="2.0em" height="2.0em" class="sd-material-icon sd-material-icon-bar_chart" viewBox="0 0 24 24" aria-hidden="true"><path d="M0 0h24v24H0z" fill="none"></path><path d="M5 9.2h3V19H5zM10.6 5h2.8v14h-2.8zm5.6 8H19v6h-2.8z"></path></svg> <strong>Probabilistic modeling</strong></p> <ul class="simple"> <li><p><a class="reference external" href="https://www.tensorflow.org/probability">TensorFlow Probabilty</a></p></li> <li><p><a class="reference external" href="https://github.com/google-deepmind/distrax">Distrax</a></p></li> </ul> </div> <div class="sd-col sd-d-flex-column docutils"> <p><svg version="4.0.0.63c5cb3" width="2.0em" height="2.0em" class="sd-material-icon sd-material-icon-animation" viewBox="0 0 24 24" aria-hidden="true"><g><rect fill="none" height="24" width="24" x="0"></rect></g><g><g><path d="M15,2c-2.71,0-5.05,1.54-6.22,3.78c-1.28,0.67-2.34,1.72-3,3C3.54,9.95,2,12.29,2,15c0,3.87,3.13,7,7,7 c2.71,0,5.05-1.54,6.22-3.78c1.28-0.67,2.34-1.72,3-3C20.46,14.05,22,11.71,22,9C22,5.13,18.87,2,15,2z M9,20c-2.76,0-5-2.24-5-5 c0-1.12,0.37-2.16,1-3c0,3.87,3.13,7,7,7C11.16,19.63,10.12,20,9,20z M12,17c-2.76,0-5-2.24-5-5c0-1.12,0.37-2.16,1-3 c0,3.86,3.13,6.99,7,7C14.16,16.63,13.12,17,12,17z M16.7,13.7C16.17,13.89,15.6,14,15,14c-2.76,0-5-2.24-5-5 c0-0.6,0.11-1.17,0.3-1.7C10.83,7.11,11.4,7,12,7c2.76,0,5,2.24,5,5C17,12.6,16.89,13.17,16.7,13.7z M19,12c0-3.86-3.13-6.99-7-7 c0.84-0.63,1.87-1,3-1c2.76,0,5,2.24,5,5C20,10.12,19.63,11.16,19,12z"></path></g></g></svg> <strong>Physics &amp; simulation</strong></p> <ul class="simple"> <li><p><a class="reference external" href="https://jax-md.readthedocs.io/">JAX MD</a></p></li> <li><p><a class="reference external" href="https://github.com/google/brax/">Brax</a></p></li> </ul> </div> <div class="sd-col sd-d-flex-column docutils"> <p><svg version="4.0.0.63c5cb3" width="2.0em" height="2.0em" class="sd-material-icon sd-material-icon-language" viewBox="0 0 24 24" aria-hidden="true"><path d="M0 0h24v24H0z" fill="none"></path><path d="M11.99 2C6.47 2 2 6.48 2 12s4.47 10 9.99 10C17.52 22 22 17.52 22 12S17.52 2 11.99 2zm6.93 6h-2.95c-.32-1.25-.78-2.45-1.38-3.56 1.84.63 3.37 1.91 4.33 3.56zM12 4.04c.83 1.2 1.48 2.53 1.91 3.96h-3.82c.43-1.43 1.08-2.76 1.91-3.96zM4.26 14C4.1 13.36 4 12.69 4 12s.1-1.36.26-2h3.38c-.08.66-.14 1.32-.14 2 0 .68.06 1.34.14 2H4.26zm.82 2h2.95c.32 1.25.78 2.45 1.38 3.56-1.84-.63-3.37-1.9-4.33-3.56zm2.95-8H5.08c.96-1.66 2.49-2.93 4.33-3.56C8.81 5.55 8.35 6.75 8.03 8zM12 19.96c-.83-1.2-1.48-2.53-1.91-3.96h3.82c-.43 1.43-1.08 2.76-1.91 3.96zM14.34 14H9.66c-.09-.66-.16-1.32-.16-2 0-.68.07-1.35.16-2h4.68c.09.65.16 1.32.16 2 0 .68-.07 1.34-.16 2zm.25 5.56c.6-1.11 1.06-2.31 1.38-3.56h2.95c-.96 1.65-2.49 2.93-4.33 3.56zM16.36 14c.08-.66.14-1.32.14-2 0-.68-.06-1.34-.14-2h3.38c.16.64.26 1.31.26 2s-.1 1.36-.26 2h-3.38z"></path></svg> <strong>LLMs</strong></p> <ul class="simple"> <li><p><a class="reference external" href="https://github.com/google/maxtext/">MaxText</a></p></li> <li><p><a class="reference external" href="https://github.com/apple/axlearn">AXLearn</a></p></li> <li><p><a class="reference external" href="https://github.com/stanford-crfm/levanter">Levanter</a></p></li> <li><p><a class="reference external" href="https://github.com/young-geng/EasyLM">EasyLM</a></p></li> </ul> </div> </div> </div> <p>Many more JAX-based libraries have been developed; the community-run <a class="reference external" href="https://github.com/n2cholas/awesome-jax">Awesome JAX</a> page maintains an up-to-date list.</p> <div class="toctree-wrapper compound"> </div> <div class="toctree-wrapper compound"> </div> <div class="toctree-wrapper compound"> </div> <div class="toctree-wrapper compound"> </div> </section> </section> </article> <footer class="prev-next-footer"> <div class="prev-next-area"> <a class="right-next" href="installation.html" title="next page"> <div class="prev-next-info"> <p class="prev-next-subtitle">next</p> <p class="prev-next-title">Installation</p> </div> <i class="fa-solid fa-angle-right"></i> </a> </div> </footer> </div> <div class="bd-sidebar-secondary bd-toc"><div class="sidebar-secondary-items sidebar-secondary__inner"> <div class="sidebar-secondary-item"> <div class="page-toc tocsection onthispage"> <i class="fa-solid fa-list"></i> Contents </div> <nav class="bd-toc-nav page-toc"> <ul class="visible nav section-nav flex-column"> <li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#ecosystem">Ecosystem</a><ul class="visible nav section-nav flex-column"> </ul> </li> </ul> </nav></div> </div></div> </div> <footer class="bd-footer-content"> <div class="bd-footer-content__inner container"> <div class="footer-item"> <p class="component-author"> By The JAX authors </p> </div> <div class="footer-item"> <p class="copyright"> 漏 Copyright 2024, The JAX Authors. <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>

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