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@KindXiaoming
KindXiaoming committed Apr 29, 2024
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* API (advanced): :ref:`api`.

.. toctree::
:maxdepth: 4
:maxdepth: 1
:caption: Contents:

intro.rst
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Expand Up @@ -122,93 +122,10 @@ <h2>Get started<a class="headerlink" href="#get-started" title="Permalink to thi
<div class="toctree-wrapper compound">
<p class="caption" role="heading"><span class="caption-text">Contents:</span></p>
<ul>
<li class="toctree-l1"><a class="reference internal" href="intro.html">Hello, KAN!</a><ul>
<li class="toctree-l2"><a class="reference internal" href="intro.html#kolmogorov-arnold-representation-theorem">Kolmogorov-Arnold representation theorem</a></li>
<li class="toctree-l2"><a class="reference internal" href="intro.html#kolmogorov-arnold-network-kan">Kolmogorov-Arnold Network (KAN)</a></li>
<li class="toctree-l2"><a class="reference internal" href="intro.html#get-started-with-kans">Get started with KANs</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="modules.html">API</a><ul>
<li class="toctree-l2"><a class="reference internal" href="kan.html">kan package</a><ul>
<li class="toctree-l3"><a class="reference internal" href="kan.html#submodules">Submodules</a></li>
<li class="toctree-l3"><a class="reference internal" href="kan.html#kan-kan-module">kan.KAN module</a></li>
<li class="toctree-l3"><a class="reference internal" href="kan.html#kan-kanlayer-module">kan.KANLayer module</a></li>
<li class="toctree-l3"><a class="reference internal" href="kan.html#kan-lbfgs-module">kan.LBFGS module</a></li>
<li class="toctree-l3"><a class="reference internal" href="kan.html#kan-symbolic-kanlayer-module">kan.Symbolic_KANLayer module</a></li>
<li class="toctree-l3"><a class="reference internal" href="kan.html#kan-spline-module">kan.spline module</a></li>
<li class="toctree-l3"><a class="reference internal" href="kan.html#kan-utils-module">kan.utils module</a></li>
<li class="toctree-l3"><a class="reference internal" href="kan.html#module-contents">Module contents</a></li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="demos.html">API Demos</a><ul>
<li class="toctree-l2"><a class="reference internal" href="API_demo/API_1_indexing.html">Demo 1: Indexing</a><ul>
<li class="toctree-l3"><a class="reference internal" href="API_demo/API_1_indexing.html#indexing-of-edges-activation-functions">Indexing of edges (activation functions)</a></li>
<li class="toctree-l3"><a class="reference internal" href="API_demo/API_1_indexing.html#indexing-of-nodes-neurons">Indexing of nodes (neurons)</a></li>
<li class="toctree-l3"><a class="reference internal" href="API_demo/API_1_indexing.html#indexing-of-layers">Indexing of layers</a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="API_demo/API_2_plotting.html">Demo 2: Plotting</a></li>
<li class="toctree-l2"><a class="reference internal" href="API_demo/API_3_grid.html">Demo 3: Grid</a></li>
<li class="toctree-l2"><a class="reference internal" href="API_demo/API_4_extract_activations.html">Demo 4: Extracting activation functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="API_demo/API_5_initialization_hyperparameter.html">Demo 5: Initialization Hyperparamters</a></li>
<li class="toctree-l2"><a class="reference internal" href="API_demo/API_6_training_hyperparameter.html">Demo 6: Training Hyperparamters</a><ul>
<li class="toctree-l3"><a class="reference internal" href="API_demo/API_6_training_hyperparameter.html#parameter-1-lambda-overall-penalty-strength">Parameter 1: <span class="math notranslate nohighlight">\(\lambda\)</span>, overall penalty strength.</a></li>
<li class="toctree-l3"><a class="reference internal" href="API_demo/API_6_training_hyperparameter.html#parameter-2-relative-penalty-strength-of-entropy-lambda-rm-ent">Parameter 2: (relative) penalty strength of entropy <span class="math notranslate nohighlight">\(\lambda_{\rm ent}\)</span>.</a></li>
<li class="toctree-l3"><a class="reference internal" href="API_demo/API_6_training_hyperparameter.html#parameter-3-grid-size-g">Parameter 3: Grid size <span class="math notranslate nohighlight">\(G\)</span>.</a></li>
<li class="toctree-l3"><a class="reference internal" href="API_demo/API_6_training_hyperparameter.html#parameter-4-seed">Parameter 4: seed.</a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="API_demo/API_7_pruning.html">Demo 7: Pruning</a><ul>
<li class="toctree-l3"><a class="reference internal" href="API_demo/API_7_pruning.html#automatic-pruning">Automatic pruning</a></li>
<li class="toctree-l3"><a class="reference internal" href="API_demo/API_7_pruning.html#manual-pruning">Manual pruning</a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="API_demo/API_8_checkpoint.html">Demo 8: Checkpoint</a></li>
<li class="toctree-l2"><a class="reference internal" href="API_demo/API_9_video.html">Demo 9: Videos</a></li>
<li class="toctree-l2"><a class="reference internal" href="API_demo/API_10_device.html">Demo 10: Device</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="examples.html">Examples</a><ul>
<li class="toctree-l2"><a class="reference internal" href="Examples/Example_1_function_fitting.html">Example 1: Function Fitting</a></li>
<li class="toctree-l2"><a class="reference internal" href="Examples/Example_2_deep_formula.html">Example 2: Deep Formulas</a><ul>
<li class="toctree-l3"><a class="reference internal" href="Examples/Example_2_deep_formula.html#three-layer-kan">Three-layer KAN</a></li>
<li class="toctree-l3"><a class="reference internal" href="Examples/Example_2_deep_formula.html#two-layer-kan">Two-layer KAN</a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="Examples/Example_3_classfication.html">Example 3: Classification</a><ul>
<li class="toctree-l3"><a class="reference internal" href="Examples/Example_3_classfication.html#regression-formulation">Regression formulation</a></li>
<li class="toctree-l3"><a class="reference internal" href="Examples/Example_3_classfication.html#classification-formulation">Classification formulation</a><ul>
<li class="toctree-l4"><a class="reference internal" href="Examples/Example_3_classfication.html#train-kan">Train KAN</a></li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="Examples/Example_4_symbolic_regression.html">Example 4: Symbolic Regression</a><ul>
<li class="toctree-l3"><a class="reference internal" href="Examples/Example_4_symbolic_regression.html#part-i-automated-vs-manual-symbolic-regression-how-can-we-know-that-we-get-the-exact-formula">Part I: Automated vs manual symbolic regression (How can we know that we get the exact formula?)</a></li>
<li class="toctree-l3"><a class="reference internal" href="Examples/Example_4_symbolic_regression.html#part-ii-how-hard-ill-defined-is-symbolic-regression-really">Part II: How hard (ill-defined) is symbolic regression, really?</a><ul>
<li class="toctree-l4"><a class="reference internal" href="Examples/Example_4_symbolic_regression.html#d-example-adding-noise-to-a-bounded-region-sine">1D example: Adding noise to a bounded region sine</a></li>
<li class="toctree-l4"><a class="reference internal" href="Examples/Example_4_symbolic_regression.html#phase-diagram-of-symbolic-regression-how-fratcal-chaotic-is-my-phase-diagram">Phase diagram of symbolic regression (how fratcal/chaotic is my phase diagram?)</a></li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="Examples/Example_5_special_functions.html">Example 5: Special functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="Examples/Example_6_PDE.html">Example 6: Solving Partial Differential Equation (PDE)</a></li>
<li class="toctree-l2"><a class="reference internal" href="Examples/Example_7_continual_learning.html">Example 7: Continual Learning</a></li>
<li class="toctree-l2"><a class="reference internal" href="Examples/Example_8_scaling.html">Example 8: KANs’ Scaling Laws</a></li>
<li class="toctree-l2"><a class="reference internal" href="Examples/Example_9_singularity.html">Example 9: Singularity</a></li>
<li class="toctree-l2"><a class="reference internal" href="Examples/Example_10_relativity-addition.html">Example 10: Use of lock for Relativity Addition</a></li>
<li class="toctree-l2"><a class="reference internal" href="Examples/Example_11_encouraing_linear.html">Example 11: Encouraging linearity</a><ul>
<li class="toctree-l3"><a class="reference internal" href="Examples/Example_11_encouraing_linear.html#case-1-1d-function">Case 1: 1D function</a></li>
<li class="toctree-l3"><a class="reference internal" href="Examples/Example_11_encouraing_linear.html#case-2-2d-function">Case 2: 2D function</a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="Examples/Example_12_unsupervised_learning.html">Example 12: Unsupervised learning</a></li>
<li class="toctree-l2"><a class="reference internal" href="Examples/Example_13_phase_transition.html">Example 13: Phase transition</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="intro.html">Hello, KAN!</a></li>
<li class="toctree-l1"><a class="reference internal" href="modules.html">API</a></li>
<li class="toctree-l1"><a class="reference internal" href="demos.html">API Demos</a></li>
<li class="toctree-l1"><a class="reference internal" href="examples.html">Examples</a></li>
</ul>
</div>
</section>
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