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General update of several files with to do list

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mhjensen
2018-05-22 16:49:43 -04:00
parent 7a39d02fd6
commit 4e5fa98fe8
225 changed files with 13485 additions and 6123 deletions
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doc/pub/Regression/html/Regression-solarized.html
+35 -3
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@@ -117,7 +117,8 @@ div { text-align: justify; text-justify: inter-word; }
2,
None,
'___sec22'),
('The singular value decompostion', 2, None, '___sec23')]}
('Polynomial Regression', 2, None, '___sec23'),
('The singular value decompostion', 2, None, '___sec24')]}
end of tocinfo -->
<body>
@@ -159,7 +160,7 @@ MathJax.Hub.Config({
<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
<br>
<p>
<center><h4>May 17, 2018</h4></center> <!-- date -->
<center><h4>May 22, 2018</h4></center> <!-- date -->
<br>
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
@@ -795,7 +796,38 @@ sgdreg.fit(x,y.ravel())
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec23">The singular value decompostion </h2>
<h2 id="___sec23">Polynomial Regression </h2>
<p>
<!-- code=python (!bc pycod) typeset with pygments style "perldoc" -->
<div class="highlight" style="background: #eeeedd"><pre style="line-height: 125%"><span></span><span style="color: #228B22"># Importing various packages</span>
<span style="color: #8B008B; font-weight: bold">from</span> <span style="color: #008b45; text-decoration: underline">math</span> <span style="color: #8B008B; font-weight: bold">import</span> exp, sqrt
<span style="color: #8B008B; font-weight: bold">from</span> <span style="color: #008b45; text-decoration: underline">random</span> <span style="color: #8B008B; font-weight: bold">import</span> random, seed
<span style="color: #8B008B; font-weight: bold">import</span> <span style="color: #008b45; text-decoration: underline">numpy</span> <span style="color: #8B008B; font-weight: bold">as</span> <span style="color: #008b45; text-decoration: underline">np</span>
<span style="color: #8B008B; font-weight: bold">import</span> <span style="color: #008b45; text-decoration: underline">matplotlib.pyplot</span> <span style="color: #8B008B; font-weight: bold">as</span> <span style="color: #008b45; text-decoration: underline">plt</span>
m = <span style="color: #B452CD">100</span>
x = <span style="color: #B452CD">2</span>*np.random.rand(m,<span style="color: #B452CD">1</span>)+<span style="color: #B452CD">4.</span>
y = <span style="color: #B452CD">4</span>+<span style="color: #B452CD">3</span>*x*x+ +x-np.random.randn(m,<span style="color: #B452CD">1</span>)
xb = np.c_[np.ones((m,<span style="color: #B452CD">1</span>)), x]
theta = np.linalg.inv(xb.T.dot(xb)).dot(xb.T).dot(y)
xnew = np.array([[<span style="color: #B452CD">0</span>],[<span style="color: #B452CD">2</span>]])
xbnew = np.c_[np.ones((<span style="color: #B452CD">2</span>,<span style="color: #B452CD">1</span>)), xnew]
ypredict = xbnew.dot(theta)
plt.plot(xnew, ypredict, <span style="color: #CD5555">&quot;r-&quot;</span>)
plt.plot(x, y ,<span style="color: #CD5555">&#39;ro&#39;</span>)
plt.axis([<span style="color: #B452CD">0</span>,<span style="color: #B452CD">2.0</span>,<span style="color: #B452CD">0</span>, <span style="color: #B452CD">15.0</span>])
plt.xlabel(<span style="color: #CD5555">r&#39;$x$&#39;</span>)
plt.ylabel(<span style="color: #CD5555">r&#39;$y$&#39;</span>)
plt.title(<span style="color: #CD5555">r&#39;Random numbers &#39;</span>)
plt.show()
</pre></div>
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec24">The singular value decompostion </h2>
<div class="alert alert-block alert-block alert-text-normal">
<b></b>
<p>