-
-
Notifications
You must be signed in to change notification settings - Fork 217
/
Copy pathindex.html
60 lines (51 loc) · 10.4 KB
/
index.html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
<!DOCTYPE html><HTML lang="en"><head><meta charset="UTF-8"/><meta content="width=device-width, initial-scale=1.0" name="viewport"/><title>Modeling Optimization Problems · ModelingToolkit.jl</title><link href="https://mtk.sciml.ai/stable/tutorials/optimization/" rel="canonical"/><link href="https://fonts.googleapis.com/css?family=Lato|Roboto+Mono" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.11.2/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.11.2/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.11.2/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.11.1/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script data-main="../../assets/documenter.js" src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link href="../../assets/favicon.ico" rel="icon" type="image/x-icon"/><link class="docs-theme-link" data-theme-name="documenter-dark" href="../../assets/themes/documenter-dark.css" rel="stylesheet" type="text/css"/><link class="docs-theme-link" data-theme-name="documenter-light" data-theme-primary="" href="../../assets/themes/documenter-light.css" rel="stylesheet" type="text/css"/><script src="../../assets/themeswap.js"></script><script data-outdated-warner="">function maybeAddWarning () {
const head = document.getElementsByTagName('head')[0];
// Add a noindex meta tag (unless one exists) so that search engines don't index this version of the docs.
if (document.body.querySelector('meta[name="robots"]') === null) {
const meta = document.createElement('meta');
meta.name = 'robots';
meta.content = 'noindex';
head.appendChild(meta);
};
// Add a stylesheet to avoid inline styling
const style = document.createElement('style');
style.type = 'text/css';
style.appendChild(document.createTextNode('.outdated-warning-overlay { position: fixed; top: 0; left: 0; right: 0; box-shadow: 0 0 10px rgba(0, 0, 0, 0.3); z-index: 999; background-color: #ffaba7; color: rgba(0, 0, 0, 0.7); border-bottom: 3px solid #da0b00; padding: 10px 35px; text-align: center; font-size: 15px; } .outdated-warning-overlay .outdated-warning-closer { position: absolute; top: calc(50% - 10px); right: 18px; cursor: pointer; width: 12px; } .outdated-warning-overlay a { color: #2e63b8; } .outdated-warning-overlay a:hover { color: #363636; }'));
head.appendChild(style);
const div = document.createElement('div');
div.classList.add('outdated-warning-overlay');
const closer = document.createElement('div');
closer.classList.add('outdated-warning-closer');
// Icon by font-awesome (license: https://fontawesome.com/license, link: https://fontawesome.com/icons/times?style=solid)
closer.innerHTML = '<svg aria-hidden="true" focusable="false" data-prefix="fas" data-icon="times" class="svg-inline--fa fa-times fa-w-11" role="img" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 352 512"><path fill="currentColor" d="M242.72 256l100.07-100.07c12.28-12.28 12.28-32.19 0-44.48l-22.24-22.24c-12.28-12.28-32.19-12.28-44.48 0L176 189.28 75.93 89.21c-12.28-12.28-32.19-12.28-44.48 0L9.21 111.45c-12.28 12.28-12.28 32.19 0 44.48L109.28 256 9.21 356.07c-12.28 12.28-12.28 32.19 0 44.48l22.24 22.24c12.28 12.28 32.2 12.28 44.48 0L176 322.72l100.07 100.07c12.28 12.28 32.2 12.28 44.48 0l22.24-22.24c12.28-12.28 12.28-32.19 0-44.48L242.72 256z"></path></svg>';
closer.addEventListener('click', function () {
document.body.removeChild(div);
});
let href = '/stable';
if (window.documenterBaseURL) {
href = window.documenterBaseURL + '/../stable';
}
div.innerHTML = 'This is an old version of the documentation. <br> <a href="' + href + '">Go to the newest version</a>.';
div.appendChild(closer);
document.body.appendChild(div);
};
if (document.readyState === 'loading') {
document.addEventListener('DOMContentLoaded', maybeAddWarning);
} else {
maybeAddWarning();
};
</script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img alt="ModelingToolkit.jl logo" src="../../assets/logo.png"/></a><div class="docs-package-name"><span class="docs-autofit">ModelingToolkit.jl</span></div><form action="../../search/" class="docs-search"><input class="docs-search-query" id="documenter-search-query" name="q" placeholder="Search docs" type="text"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><span class="tocitem">Symbolic Modeling Tutorials</span><ul><li><a class="tocitem" href="../ode_modeling/">Composing Ordinary Differential Equations</a></li><li><a class="tocitem" href="../acausal_components/">Acausal Component-Based Modeling the RC Circuit</a></li><li><a class="tocitem" href="../higher_order/">Automatic Transformation of Nth Order ODEs to 1st Order ODEs</a></li><li><a class="tocitem" href="../tearing_parallelism/">Exposing More Parallelism By Tearing Algebraic Equations in ODESystems</a></li><li><a class="tocitem" href="../nonlinear/">Modeling Nonlinear Systems</a></li><li class="is-active"><a class="tocitem" href="">Modeling Optimization Problems</a></li><li><a class="tocitem" href="../stochastic_diffeq/">Modeling with Stochasticity</a></li><li><a class="tocitem" href="../nonlinear_optimal_control/">Nonlinear Optimal Control</a></li></ul></li><li><span class="tocitem">ModelingToolkitize Tutorials</span><ul><li><a class="tocitem" href="../../mtkitize_tutorials/modelingtoolkitize/">Automatically Accelerating ODEProblem Code</a></li><li><a class="tocitem" href="../../mtkitize_tutorials/modelingtoolkitize_index_reduction/">Automated Index Reduction of DAEs</a></li></ul></li><li><span class="tocitem">Basics</span><ul><li><a class="tocitem" href="../../basics/AbstractSystem/">The AbstractSystem Interface</a></li><li><a class="tocitem" href="../../basics/ContextualVariables/">Contextual Variable Types</a></li><li><a class="tocitem" href="../../basics/Composition/">Composing Models and Building Reusable Components</a></li><li><a class="tocitem" href="../../basics/Validation/">Model Validation and Units</a></li><li><a class="tocitem" href="../../basics/DependencyGraphs/">Dependency Graphs</a></li><li><a class="tocitem" href="../../basics/FAQ/">Frequently Asked Questions</a></li></ul></li><li><span class="tocitem">System Types</span><ul><li><a class="tocitem" href="../../systems/ODESystem/">ODESystem</a></li><li><a class="tocitem" href="../../systems/SDESystem/">SDESystem</a></li><li><a class="tocitem" href="../../systems/JumpSystem/">JumpSystem</a></li><li><a class="tocitem" href="../../systems/NonlinearSystem/">NonlinearSystem</a></li><li><a class="tocitem" href="../../systems/OptimizationSystem/">OptimizationSystem</a></li><li><a class="tocitem" href="../../systems/ControlSystem/">ControlSystem</a></li><li><a class="tocitem" href="../../systems/ReactionSystem/">ReactionSystem</a></li><li><a class="tocitem" href="../../systems/PDESystem/">PDESystem</a></li></ul></li><li><a class="tocitem" href="../../comparison/">Comparison of ModelingToolkit vs Equation-Based Modeling Languages</a></li><li><a class="tocitem" href="../../internals/">Internal Details</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">Symbolic Modeling Tutorials</a></li><li class="is-active"><a href="">Modeling Optimization Problems</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href="">Modeling Optimization Problems</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/SciML/ModelingToolkit.jl/blob/master/docs/src/tutorials/optimization.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" href="#" id="documenter-settings-button" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" href="#" id="documenter-sidebar-button"></a></div></header><article class="content" id="documenter-page"><h1 id="Modeling-Optimization-Problems-1"><a class="docs-heading-anchor" href="#Modeling-Optimization-Problems-1">Modeling Optimization Problems</a><a class="docs-heading-anchor-permalink" href="#Modeling-Optimization-Problems-1" title="Permalink"></a></h1><pre><code class="language-julia">using ModelingToolkit, GalacticOptim
@variables x y
@parameters a b
loss = (a - x)^2 + b * (y - x^2)^2
sys = OptimizationSystem(loss,[x,y],[a,b])
u0 = [
x=>1.0
y=>2.0
]
p = [
a => 6.0
b => 7.0
]
prob = OptimizationProblem(sys,u0,p,grad=true,hess=true)
solve(prob,Newton())</code></pre><p>Needs more text but it's super cool and auto-parallelizes and sparsifies too. Plus you can hierarchically nest systems to have it generate huge optimization problems.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../nonlinear/">« Modeling Nonlinear Systems</a><a class="docs-footer-nextpage" href="../stochastic_diffeq/">Modeling with Stochasticity »</a></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label></p><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div><p></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> on <span class="colophon-date" title="Wednesday 17 March 2021 15:51">Wednesday 17 March 2021</span>. Using Julia version 1.5.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></HTML>