<h2 id="Exercise-3.11---Clustering-tags">Exercise 3.11 - Clustering tags<a class="anchor-link" href="#Exercise-3.11---Clustering-tags">¶</a></h2><p>Load the tag embedding that you created at the end of Exercise 3.2</p>
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","dtype":"float64","shape":[822]},"y":{"__ndarray__":"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","dtype":"float64","shape":[822]},"y":{"__ndarray__":"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","dtype":"float64","shape":[822]},"y":{"__ndarray__":"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hEBmbY49qyx6QGTiodtrPr8//+Uh34csYkAkKIwPwapjQFJWtJI6yXdAgSoBUzdxfUDM6VuTqK+EQC4cwJxSb3tA0qPY2HFIc8AYLmL/h4YRwHdTOpVLaXBAw6nLDwR1gMBq8Ey1DUd4wLJe+oySZiRA0xyLVEZAcECFJpGRxKhowJcWpiDxs2FA8yDPQkunlMA+3RWfO+1owLWkjckILW9AKsqum1XeeUDpWRvxzaxzQOIlcVgFnHFAFAI/POUngED26nHiug5MwIJ/B0abmYFA9MxqZQ5XQMAPBKBcgC93QOnQoewPJ37AC3i0eCH+c0CQw0Zl9vN5QG86kMrmN31ADCW9GjHMdUABSU13r1t5QBvz6mNkX3XAPUd64S3AZUBsHeFnNSdvQMWPGOmd2X3AesBsBV3Zc0BJg2Y3w4D9P6j0kp6ZXmpA+zV7MF5TgEBw7TP2wb9qwIB/KPT1xXDAwTt217IIZ8Dj9T1CB7VCQDwZ9LaAIGZAXGFHj20cVUChS3PKcQh+QGiqb6KrGU5A7Srorir9fkBKlWdUmBZ9QDgm20njEWtA5wE4AOTcgkBBaW8EvsJ3QK9U5JTF7WZA3MM8RKibbkDrQdPkBexjQBfkuciKzmNAa2zS3gqZZkCX1mVulSRXQHF3R5W4dHRAbhNXj++7aUDt8QbEeChEQEdd9Jx/x1NAPIDBoDROfUAGok+LUhdnQNg74XNUGkLAZbD+Jtz4ccAoOpDH13J2wB792ot6BURADAOJiEHXS0DXrzkZ9pljQNIDFMVaVXpA/yBGfqooWsA/T+AJkqE6wHU5vYWAzXxAwe7HCnGleUCViBnjTHh4QD1K02aLMkDAV0UjME3efkBt58G9GphZwGJ0ruq3QmXApWOKgXdYcUD8FnuFDNNBQOx4lT+3ICbA2sM81f3Na0Ah2SPPut95wFin1d13gVbAoq50GyuONUBu61gQAqdHQKbRqBrQXpDAWh/HUSQjbEAUjukygRB+QFKvrXw3Cn1Ap0cfkdjcQkBW4V4/WSRZQMbc/ni1Q2XAyz2Z3y7BcUDjYMAmvGdRQBvvFJnygnlAogn/4RStXkBZmTYNwd9TQEhYrSoe+IHAZItJnVcJYkCk64QI4H16wDYaIzR0121A5hQACvr7aMDjTsAK6y+CQKR40tDfZX3ApgxOBEjxYkB9SeFDHKZkwJSj6LJmrlhAZ8SGj/yZIsD+FQqPWVpfQAl42922XHJAkEENMjLLfUCbPCK3Y6N8QJVDSSqq2GbAdc8nf8LFZEDfHl7+sy1ZQIUvikcQxUbAdmcXf9lWX0BCzLtJNgCDQNqUQmJ5Kj5AgUij5ysQZEDcPnnfpr6BQEMrXfKnuUBArqg1T38oS0ARa4ARGM1+QPDtmyciVYFA2i3m9vhDX0BgWTfJvzdhQBVkkiL+WmRAg7GRjwzUUMAshn3/sqqIwKcKhtFQKWBAAjNkGAXrZ0AL8Bfo3kp9QPBEboBK9YTA0ExVcPu8MMCTpiUqjeQ9wH0jJbcpo1xANW3H4wBCecCFVGfROdNdQAnouWM+H3NAPrdaUNt+cEBE6lOfIY5EwN9ArXm2MDvA6Flz+s+7McDRlPN2n/R4QOt4OZavbIPAehDwwphogEDfRBUjMsGGwARCpJCn7mBAkrBapqR+g0BE1M6bUDt1QBTXy0wnTINArk8pUGO/e0ARDakPTA43wMrmW+yuCOE/P0CI19F+fkDpKdgqaA2DQBXHgn4ym6LAHC+2RHm0XEBYa1QCugxlwGUVaV0RgzhA3Colq2R5g0CmJpWPfG6CQINFWC6nQYBAjJMFujCRZ0C8iPVPl1RkwDEfS5Y/w3JAMeydRplngUAiLZ+IiMt1QADwuIERonVAwScKl1Wnc0B1eFSJEzNuwJdF4ZWXIltAyL25e1HEb0Dxqs2CFOV0QFDejAfoHoFAsEtM31rFZUBNm1ELLvprQEkS1+YGa3XAXRlLDgg3fECDeJ4M2B59QDey6bLPQGpAwfclPS8ReUBQPWa92VNfwEab2IjxlV/AtagJ55QjZcDAJMhtTVJ3QKRZ/0ILbVtA5njfg48Fi8DbWWV2nFWFQB6i6r2NDoRA0xSgupDwi8CSvspLogJwQHG1l1E/xXdAmwQSCs6tbkAP2b6yB3cZwBKNyKNcq3FAD2lAbnjvWUCF+PCqQNoqwAjagSKAQ0rASdWG1iCYa8DrihytJ6hrQKOqrdI3knjAlum4prVEYcBO6mL7fvuHwNLTAJJ7OWlAeLz9jlAkQkBXjjg6wS+BQMkQWYdsUWdAcRcquVf4AcABG58YONRRwJX7c0Q6dXxAJZhRyi7ngUBDJrfnDI56QEcCE0imTnnAEzK69LK4ZUCmxZukD5MwwM0HS7V971/AjIcP/bQJdUBoWUk1xB0eQBCm6+LBrIHAchejw+6ShMBtvUd8SmM6wCwbxAppRHfA3rLCniLRd8D/g6iKu8hDQEojO/PKC2NAcaTBgUcfbEBu42pAFQBgQPPczyw313DAdoXmF81ucMAd84qM40OLwCpW4a6VVYzAU0UJdvIibsB2oa6/EgN3QLk7KacvBmDAotL118WpgUCh6+X0jVtwQHC9IOrJKFxAnpTK4P0OhMBmsFEVVJpPwGx9+jkyG3XALtUcc7mEcEBaNu9Aq15sQKZCd8MncZvA5qaViYg4m8Cr3Q/6Z2B2QCujaWqqcmnAIX7+rRsZY0C5CbhACSVfQJIkFBwBsVhAlnVRVeLNiMARfaDqZEJ4wLeh5/Nh8GNAkU9LXQPtUsAOCJe3LZGewM63Ohr963rAr33klFx3TUDb9xLsTKpgQAlAz862kGBAM2VTFWTFYEBg/JboZeV0QPtvm969yHHAtd+TbrteaMB8kmDR9/NBwOaZNrPhqkhAhP7cWGYrWEDc6h6Bpmx5QNrfDXbK/l9AA2iXUolWk8C1Wzs6V7lZQCIVUVEbZlTAOsiK3oVzVECGcFt4ScpFwH337rxeYnfAHXVVcxVDMsBsw19Cuq52wNK/DBkxe23AJHoGUP7XUUC3/pYIKGt0QMdcUvmIABFAKIYaThzZXUB0iUep4iA6wEVQe4DV3j7AkBx4HkTgXMAkMYda6n50wFeiEgTtcXRAcbgX0RTIYkBrAH/t7YxgQJnv3misB2DACR9Xsc6RPcCnhjY7XaNRQIpVwiTxrJLAn91nTVCkkcD7snaLIgqBwFkaYEV7I1bA4Nd02gCDfcD8CGT14456wJYhuYi6sHvAFUarHVxSgcCkFLusmRx0wPwF1K+RUyvAM+3urYoKekASo0iy/PqCQMHOFMWfOoFArJvaS9CEcMC6wTgt1HVkQMF06DW2ZXBATdKOIja7bsAFnuCB72dRQPDvZ/zQaFdAS1Pxd1rNfMAqlFnCrm1aQAHfDYkY9XhAKZIMDivJRkA6+j95u8RDQAWOhlv17orAQ/LdQI2vk8B2RI2uVslTQH1Euz1t3F7ACy2xRQzMisAqhHzLIJ1NwAMb4T9yTmRAZqY/uTKsaUAkx0wuvkNYQCyfKuzCiXxAGCFqplRdZkCbMr1ljv1aQKq9UYQo9SLAmv2h2tK1LMC3QwkjPbFnwELBOju51lXAVkMvAgwQacAkkh9GrdmCQEAXcCFdzEXAS9ZH+ZgiZECceDw7/mltQKLvAl7oVnlADw25XTaJcEA/sbeJhwBoQFrLuKtbE2XASuqiiwWRaMDD1mNpfv1gQJj3v539AoZApSKaUDLJU0BQQpYz6+uBQGmMeOLkL3BAHz/SYqWfYEDft6g6gc0ywI2uqUZuPnnASpyCPaVuecDZfNHdCdOEQBn+MrdE8ChAGzKoMw2+R0DaGsdakMxywMCOwheNBXBA6/P/uMySZMDe4pOC6ax9wA9lFl5hjF7A/MmWZXZiH0BAu8++RSN/wPCmI4LAzHPAXL0oleQRVsBZvMFPMvlkwHb/wy+UgHdAUAupmm6DYECWJpGUIcpeQEujFxPoVznAzf9U8HWETkCNsrFMVR5+QG86PfGIA1TA5F7ZkE73KsDwTDnmRgNrwDflYJeA7mNA0JXPsyv5OMBFJOT6kTl3QNciXnWm439A9+ZHibEIacBDLd7Q0oNowCAYqPpsVUVArF2rwM7hZMDHUld6FA1KQPN5asJvOnPATHD4lWIrcMBY8BxNIZZgQJ4bI53AyoJA3Pgtld8Fg0Css1Ridw5/QGFsc1KWgoRAHpB4wB5IZsDVFoxgASVBwFswUe9XBGDAL7yKebJxNcCTBR10aUGAQIO78TmuM4FAissBBS84dkBvCacVYVSAQESEk2BUIYJAAiZByvzpcEBE76fWCnN+QENPpxiLMmJAI4yIwi+1fkBt9gL5pFZywLIs2GSSnUPA","dtype":"float64","shape":[822]},"y":{"__ndarray__":"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<p>As one can see in the first graphs above, when still using the first principal component and varying the second the separation still works quite well (The first two principal components are best, though). The too cluster model is separated well but we can see much more variance in the points, meaning the points of each cluster are not as packed/ not as close together. For four clusters using other components with the first ones causes some little overlaps of points at the edges of the clusters.</p>
<p>Not using the first component leads to no real visible separation at all, the point seem all to lie one on another. That it understandable becasue the first principal component contains the most variance and can thus separate the data the best. The seperations on lower components cannot be seen in a 2D graph, if the first component is not used. Hence the first principal comonent is crucial for good clustering.</p>
<h2 id="Exercise-3.12---Clustering-movies">Exercise 3.12 - Clustering movies<a class="anchor-link" href="#Exercise-3.12---Clustering-movies">¶</a></h2><p>Create a <code>dict</code> that maps movie IDs to set of genres from the data in <code>movies.txt</code>.</p>
<li>Find a good way to visualize the results of the clustering. For example, you could try to visually represent the frequency of the genres in each of the clusters.</li>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">"Bargraph of genre frequency for cluster 1 and 2"</span><span class="p">)</span>
<p>The second cluster has a big majority of drama movies, followed by romance, comedy and Thriller respectively but far behind drama (41%).</p>
<p>The first cluster's most used tags are comedy, action, adventure, thriller respectively. The tags are distributed much more evenly over those for tags, the biggest one making up only 17 %.</p>
<p>Hence it seems that the second cluster deals with more serious movies, that are maybe a little bit heavier on the emotions while cluster one seems to have lighter, and less serious movies.</p>