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<h1 id="The-(Data)-Science-of-Dataviz">The (Data) Science of Dataviz<a class="anchor-link" href="#The-(Data)-Science-of-Dataviz">¶</a></h1><h2 id="Romain-Vuillemot"><em>Romain Vuillemot</em><a class="anchor-link" href="#Romain-Vuillemot">¶</a></h2><p><img src='http://romain.vuillemot.net/img/romain-vuillemot.png' style='width: 200px; float:left; margin: 20px'></p>
<p><br><br><br><br>
<a href="https://twitter.com/romsson">@romsson</a></p>
<p><a href="http://romain.vuillemot.net/">http://romain.vuillemot.net/</a></p>
<p><br><br></p>
<p><em>Notes for a talk given during the <a href="http://www.meetup.com/Lyon-Data-Science/events/227856813/">Lyon Data Science meetup</a></em></p>
<p><em>Notebook <a href="https://github.com/romsson/lyon-meetup-data-science-dataviz">https://github.com/romsson/lyon-meetup-data-science-dataviz</a></em></p>
<p><em>Online version <a href="http://nbviewer.jupyter.org/github/romsson/lyon-meetup-data-science-dataviz/blob/master/data-science-dataviz.ipynb">http://nbviewer.jupyter.org/github/romsson/lyon-meetup-data-science-dataviz/blob/master/data-science-dataviz.ipynb</a></em></p>
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<h2 id="http://romain.vuillemot.net/"><a href="http://romain.vuillemot.net/">http://romain.vuillemot.net/</a><a class="anchor-link" href="#http://romain.vuillemot.net/">¶</a></h2><div style='text-align: center'>
<a href='http://romain.vuillemot.net/'>
<img src='data-science-dataviz/romain-vuillemot-net-projects.png' style='height: 500px'></a>
</div><p><em>A full list of my projects and publications is availble at <a href="http://romain.vuillemot.net/">http://romain.vuillemot.net/</a> with related code source and materials (usually videos and screenshots). And of course interactive prototype you can play with.</em></p>
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<h2 id="The-Globe-of-Economic-Complexity">The Globe of Economic Complexity<a class="anchor-link" href="#The-Globe-of-Economic-Complexity">¶</a></h2><div style='text-align: center'>
<a href='https://twitter.com/romsson/status/636150555933585408'>
<img src='data-science-dataviz/globe-falling-sand-africa.gif' style='height: 500px'></a>
</div><p><em>The Globe of Economic Complexity visualizes 15 trillion dollars of world trade. One dot equals 100 million dollars of exported products. It uses Three.js & WebGL. Check it out: <a href="http://globe.cid.harvard.edu/">http://globe.cid.harvard.edu/</a>.</em></p>
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<h2>El Atlas de Complejidad Económica de México<br><em>Mexican Atlas of Economic Complexity</em></h2>
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<a href='http://complejidad.datos.gob.mx/'>
<img src='data-science-dataviz/atlas-complejidad-mexico.png' style='height: 500px'></a>
</div><p><em>The Mexican Atlas of Economic Complexity is a diagnostic tool that firms, investors and policymakers can use to improve the productivity of states, cities and municipalities. Check it out: <a href="http://complejidad.datos.gob.mx/">http://complejidad.datos.gob.mx/</a></em></p>
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<p>By the way you can view, download or <a href="http://www.slideviper.oquanta.info/tutorial/slideshow_tutorial_slides.html#/11">re-compile</a> this presentation:</p>
<pre><code>> ipython nbconvert --to slides data-science-dataviz.ipynb --post serve</code></pre>
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<p>Want to see the source code? Fix a typo? Re-use? <a href="https://github.com/romsson/lyon-meetup-data-science-dataviz">https://github.com/romsson/lyon-meetup-data-science-dataviz</a></p>
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<h1 id="What-is-data-visualization?">What is data visualization?<a class="anchor-link" href="#What-is-data-visualization?">¶</a></h1>
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<h2 id="(pre)-Historical-Example">(pre)-Historical Example<a class="anchor-link" href="#(pre)-Historical-Example">¶</a></h2><div style='text-align: center'>
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</div><p><a href="https://en.wikipedia.org/wiki/Kish_tablet">Kish tablet</a> with proto-cuneiform signs dated to ca. 3500 BC.</p>
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<h2 id="William-Playfair">William Playfair<a class="anchor-link" href="#William-Playfair">¶</a></h2><p><img src='https://upload.wikimedia.org/wikipedia/commons/5/52/Playfair_TimeSeries-2.png' style='width: 900px'></p>
<p>Exports and imports to and form Denmark & Norway from 1700 to 1780</p>
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<h2 id="Joseph-Minard">Joseph Minard<a class="anchor-link" href="#Joseph-Minard">¶</a></h2><div style='text-align: center'>
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</div><p>Carte figurative des pertes successives en hommes de l'Armée Française dans la campagne de Russie 1812-1813 <a href="https://en.wikipedia.org/wiki/Charles_Joseph_Minard">https://en.wikipedia.org/wiki/Charles_Joseph_Minard</a></p>
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<h2 id="Joseph-Minard">Joseph Minard<a class="anchor-link" href="#Joseph-Minard">¶</a></h2><div style='text-align: center'>
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</div><p>Carte figurative et approximative des quantités de viandes de boucherie envoyées sur pied par les départements et consommateurs à Paris. source: <a href="https://en.wikipedia.org/wiki/Charles_Joseph_Minard">https://en.wikipedia.org/wiki/Charles_Joseph_Minard</a></p>
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<h2 id="John-Snow">John Snow<a class="anchor-link" href="#John-Snow">¶</a></h2><div style='text-align: center'>
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</div><p>Cholera cases in the London epidemic of 1854 <a href="https://en.wikipedia.org/wiki/John_Snow_(physician">https://en.wikipedia.org/wiki/John_Snow_(physician</a>)</p>
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<h1 id="E.-J.-Marey">E. J. Marey<a class="anchor-link" href="#E.-J.-Marey">¶</a></h1><div style='text-align: center'>
<img src='data-science-dataviz/marey-train-schedule.jpg' style='width: 900px'>
</div><p>E. J. Marey's graphical schedule shows actual speed of trains with the slop of the line: the steeper the line, the faster the train.</p>
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<h2 id="Jacques-Bertin">Jacques Bertin<a class="anchor-link" href="#Jacques-Bertin">¶</a></h2><p><iframe width="560" height="315" src="https://www.youtube.com/embed/RZzjuma2F-E?rel=0" frameborder="0" allowfullscreen></iframe></p>
<p><em><a href="https://en.wikipedia.org/wiki/Jacques_Bertin">Jacques Bertin</a> (1918 – 2010) was a French cartographer and theorist, known from his book Semiologie Graphique (Semiology of Graphics), published in 1967.</em></p>
<p>More details on <a href="data visualization that we call "milestones.">data visualization milestones</a> and <a href="http://www.t-o-m-b-o-l-o.eu/meta/histoire-de-tourner-en-rond-breves-cousues-main-du-fromage-normand-a-barack-obama-2/">historical examples</a>.</p>
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<h1 id="Why-visualize?">Why visualize?<a class="anchor-link" href="#Why-visualize?">¶</a></h1>
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<h2 id="Example-#1">Example #1<a class="anchor-link" href="#Example-#1">¶</a></h2><p>Find the minimal value for the following equation:</p>
<p>$1.3 x^2 + 4 x + 0.6$</p>
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<p>Let's just automatically find the minimal value using <code>scipy</code></p>
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<div class=" highlight hl-ipython3"><pre><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="kn">import</span> <span class="nn">scipy.optimize</span> <span class="k">as</span> <span class="nn">opt</span>
<span class="n">objective</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">poly1d</span><span class="p">([</span><span class="mf">1.3</span><span class="p">,</span> <span class="mf">4.0</span><span class="p">,</span> <span class="mf">0.6</span><span class="p">])</span>
<span class="n">x_</span> <span class="o">=</span> <span class="n">opt</span><span class="o">.</span><span class="n">fmin</span><span class="p">(</span><span class="n">objective</span><span class="p">,</span> <span class="p">[</span><span class="mi">3</span><span class="p">])</span>
<span class="nb">print</span><span class="p">(</span><span class="s">"solved: x={}"</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">x_</span><span class="p">))</span>
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<pre>Optimization terminated successfully.
Current function value: -2.476923
Iterations: 20
Function evaluations: 40
solved: x=[-1.53845215]
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<div class=" highlight hl-ipython3"><pre><span class="o">%</span><span class="k">matplotlib</span> inline
<span class="kn">import</span> <span class="nn">matplotlib.pylab</span> <span class="k">as</span> <span class="nn">plt</span>
<span class="kn">from</span> <span class="nn">ipywidgets</span> <span class="k">import</span> <span class="n">widgets</span>
<span class="kn">from</span> <span class="nn">IPython.display</span> <span class="k">import</span> <span class="n">display</span>
<span class="n">x</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="o">-</span><span class="mi">4</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mf">101.</span><span class="p">)</span>
<span class="n">fig</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">(</span><span class="n">figsize</span><span class="o">=</span><span class="p">(</span><span class="mi">10</span><span class="p">,</span> <span class="mi">8</span><span class="p">))</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">objective</span><span class="p">(</span><span class="n">x</span><span class="p">))</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x_</span><span class="p">,</span> <span class="n">objective</span><span class="p">(</span><span class="n">x_</span><span class="p">),</span> <span class="s">'ro'</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>
</div>
</div>
</div>
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"
>
</div>
</div>
</div>
</div>
</div></section><section>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h2 id="Example-#2">Example #2<a class="anchor-link" href="#Example-#2">¶</a></h2><p>Find interesting patterns in those 4 datasets with eleven (x,y) points.</p>
<table>
<thead><tr>
<th>I</th>
<th></th>
<th>II</th>
<th></th>
<th>III</th>
<th></th>
<th>IV</th>
<th></th>
</tr>
</thead>
<tbody>
<tr>
<td>x</td>
<td>y</td>
<td>x</td>
<td>y</td>
<td>x</td>
<td>y</td>
<td>x</td>
<td>y</td>
</tr>
<tr>
<td>10.0</td>
<td>8.04</td>
<td>10.0</td>
<td>9.14</td>
<td>10.0</td>
<td>7.46</td>
<td>8.0</td>
<td>6.58</td>
</tr>
<tr>
<td>8.0</td>
<td>6.95</td>
<td>8.0</td>
<td>8.14</td>
<td>8.0</td>
<td>6.77</td>
<td>8.0</td>
<td>5.76</td>
</tr>
<tr>
<td>13.0</td>
<td>7.58</td>
<td>13.0</td>
<td>8.74</td>
<td>13.0</td>
<td>12.74</td>
<td>8.0</td>
<td>7.71</td>
</tr>
<tr>
<td>9.0</td>
<td>8.81</td>
<td>9.0</td>
<td>8.77</td>
<td>9.0</td>
<td>7.11</td>
<td>8.0</td>
<td>8.84</td>
</tr>
<tr>
<td>11.0</td>
<td>8.33</td>
<td>11.0</td>
<td>9.26</td>
<td>11.0</td>
<td>7.81</td>
<td>8.0</td>
<td>8.47</td>
</tr>
<tr>
<td>14.0</td>
<td>9.96</td>
<td>14.0</td>
<td>8.10</td>
<td>14.0</td>
<td>8.84</td>
<td>8.0</td>
<td>7.04</td>
</tr>
<tr>
<td>6.0</td>
<td>7.24</td>
<td>6.0</td>
<td>6.13</td>
<td>6.0</td>
<td>6.08</td>
<td>8.0</td>
<td>5.25</td>
</tr>
<tr>
<td>4.0</td>
<td>4.26</td>
<td>4.0</td>
<td>3.10</td>
<td>4.0</td>
<td>5.39</td>
<td>19.0</td>
<td>12.50</td>
</tr>
<tr>
<td>12.0</td>
<td>10.84</td>
<td>12.0</td>
<td>9.13</td>
<td>12.0</td>
<td>8.15</td>
<td>8.0</td>
<td>5.56</td>
</tr>
<tr>
<td>7.0</td>
<td>4.82</td>
<td>7.0</td>
<td>7.26</td>
<td>7.0</td>
<td>6.42</td>
<td>8.0</td>
<td>7.91</td>
</tr>
<tr>
<td>5.0</td>
<td>5.68</td>
<td>5.0</td>
<td>4.74</td>
<td>5.0</td>
<td>5.73</td>
<td>8.0</td>
<td>6.89</td>
</tr>
</tbody>
</table>
<p>The <a href="https://en.wikipedia.org/wiki/Anscombe%27s_quartet">Anscombe's quartet</a>.</p>
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<p>All points nearly have <strong>identical</strong> simple statistical properties:</p>
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<thead><tr>
<th>Property</th>
<th>Value</th>
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<td>Mean of x</td>
<td>9</td>
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<td>Sample variance of x</td>
<td>11</td>
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<td>Mean of y</td>
<td>7.50</td>
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<tr>
<td>Sample variance of y</td>
<td>4.122</td>
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<td>Correlation</td>
<td>0.816</td>
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<td>Linear regression line</td>
<td>y = 3.00 + 0.500x</td>
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<p>Not so identical, <strong>visually</strong>.</p>
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<img src='https://upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Anscombe%27s_quartet_3.svg/990px-Anscombe%27s_quartet_3.svg.png' style='width: 700px'>
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<h1 id="Why-is-it-difficult?">Why is it difficult?<a class="anchor-link" href="#Why-is-it-difficult?">¶</a></h1>