small addition before bedtime
This commit is contained in:
mhjensen
@@ -45,7 +45,8 @@ Automatically generated HTML file from DocOnce source
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('Hyperplanes and all that', 2, None, '___sec2'),
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('What is a hyperplane', 2, None, '___sec3'),
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('The two-dimensional case', 2, None, '___sec4'),
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('Examples with kernels', 2, None, '___sec5')]}
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('Getting into the details', 2, None, '___sec5'),
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('Examples with kernels', 2, None, '___sec6')]}
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end of tocinfo -->
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<body>
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@@ -88,7 +89,8 @@ MathJax.Hub.Config({
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<!-- navigation toc: --> <li><a href="#___sec2" style="font-size: 80%;">Hyperplanes and all that</a></li>
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<!-- navigation toc: --> <li><a href="#___sec3" style="font-size: 80%;">What is a hyperplane</a></li>
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<!-- navigation toc: --> <li><a href="#___sec4" style="font-size: 80%;">The two-dimensional case</a></li>
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<!-- navigation toc: --> <li><a href="#___sec5" style="font-size: 80%;">Examples with kernels</a></li>
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<!-- navigation toc: --> <li><a href="#___sec5" style="font-size: 80%;">Getting into the details</a></li>
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<!-- navigation toc: --> <li><a href="#___sec6" style="font-size: 80%;">Examples with kernels</a></li>
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</ul>
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</li>
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@@ -250,7 +252,18 @@ for our data sample.
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<p>
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<!-- !split -->
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<h2 id="___sec5" class="anchor">Examples with kernels </h2>
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<h2 id="___sec5" class="anchor">Getting into the details </h2>
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<p>
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Let us define the function
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$$
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f(x) = \beta_0+\beta_1x = 0,
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$$
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as the function that determines the line that separates two classes (our two features).
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<!-- !split -->
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<h2 id="___sec6" class="anchor">Examples with kernels </h2>
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<p>
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@@ -287,7 +287,22 @@ for our data sample.
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<section>
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<h2 id="___sec5">Examples with kernels </h2>
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<h2 id="___sec5">Getting into the details </h2>
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<p>
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Let us define the function
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<p> <br>
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$$
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f(x) = \beta_0+\beta_1x = 0,
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$$
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<p> <br>
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as the function that determines the line that separates two classes (our two features).
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</section>
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<section>
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<h2 id="___sec6">Examples with kernels </h2>
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<p>
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@@ -39,7 +39,8 @@ div { text-align: justify; text-justify: inter-word; }
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('Hyperplanes and all that', 2, None, '___sec2'),
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('What is a hyperplane', 2, None, '___sec3'),
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('The two-dimensional case', 2, None, '___sec4'),
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('Examples with kernels', 2, None, '___sec5')]}
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('Getting into the details', 2, None, '___sec5'),
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('Examples with kernels', 2, None, '___sec6')]}
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end of tocinfo -->
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<body>
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@@ -206,7 +207,18 @@ for our data sample.
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<p>
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<!-- !split --><br><br><br><br><br><br><br><br><br><br>
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<h2 id="___sec5">Examples with kernels </h2>
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<h2 id="___sec5">Getting into the details </h2>
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<p>
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Let us define the function
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$$
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f(x) = \beta_0+\beta_1x = 0,
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$$
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as the function that determines the line that separates two classes (our two features).
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<!-- !split --><br><br><br><br><br><br><br><br><br><br>
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<h2 id="___sec6">Examples with kernels </h2>
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<p>
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@@ -44,7 +44,8 @@ div { text-align: justify; text-justify: inter-word; }
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('Hyperplanes and all that', 2, None, '___sec2'),
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('What is a hyperplane', 2, None, '___sec3'),
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('The two-dimensional case', 2, None, '___sec4'),
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('Examples with kernels', 2, None, '___sec5')]}
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('Getting into the details', 2, None, '___sec5'),
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('Examples with kernels', 2, None, '___sec6')]}
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end of tocinfo -->
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<body>
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@@ -211,7 +212,18 @@ for our data sample.
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<p>
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<!-- !split --><br><br><br><br><br><br><br><br><br><br>
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<h2 id="___sec5">Examples with kernels </h2>
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<h2 id="___sec5">Getting into the details </h2>
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<p>
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Let us define the function
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$$
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f(x) = \beta_0+\beta_1x = 0,
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$$
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as the function that determines the line that separates two classes (our two features).
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<!-- !split --><br><br><br><br><br><br><br><br><br><br>
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<h2 id="___sec6">Examples with kernels </h2>
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<p>
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Binary file not shown.
@@ -154,6 +154,25 @@
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"to divide the data. Below is an example of two candidate hyperplanes\n",
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"for our data sample.\n",
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"\n",
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"## Getting into the details\n",
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"\n",
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"Let us define the function"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"$$\n",
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"f(x) = \\beta_0+\\beta_1x = 0,\n",
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"$$"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"as the function that determines the line that separates two classes (our two features). \n",
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"## Examples with kernels"
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]
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},
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@@ -106,6 +106,16 @@ Unfortunately there are many ways in which we can place a hyperplane
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to divide the data. Below is an example of two candidate hyperplanes
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for our data sample.
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!split
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===== Getting into the details =====
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Let us define the function
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!bt
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\[
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f(x) = \beta_0+\beta_1x = 0,
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\]
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!et
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as the function that determines the line that separates two classes (our two features).
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!split
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===== Examples with kernels =====
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