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unsupervised_learning_recommended_exercises_solutions.html
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unsupervised_learning_recommended_exercises_solutions.html
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<title>TMA4268 Statistical Learning</title>
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JtTNAj6jJKAAZEs8WgqihJRgX9wJHOkYoXkf8iwR2RiKKqRRiitWw3lYdnr30cDzNae/8Tw/1L3sS5gFALINXpKDQgmp1pQxW86M3O8aoqMTlNtTGnSjATM2tjXEgCYfS3hKyuCkFHkzBeScI6WKhFVxLuD+EQLt4TkOo6CU5f1drrhvrrVly/dspDayfe+8EtQx7fuJG0HcbZLyyc1r+5qXbojtE1xa0dt4x/5c31r9hA6MYtP5DrVgijoiV5Po6KKs3MBOCVStFlgez8bG57v8/vq4tZ/Gilfr8pX7VqJm1EzJQGeg3j5/xX8ruWMbrG4oduFyXxMEFyQlkpkMeJTvhKbCMY1j/o2ykPlEmSr335KxvYPvbZydev29P65KNrX58+c92zfxv6+Kil76PnU1Sl6fe+l694//zIweMjUO1ZPnH2TU3fxqa09+l/6OHXAQgEAaSZuhddMDiaZ1epkRAzpTKAxyVzrnGh7JLreGi7qF1VqO5WvoGQ0DwF584uo3cpz4sCBzc9T9SAQPKgoqI082X2QfxhshCzXmZ5Jmoo6MvOYAk7gCWH6cudN5+98oSroZZNBoRWbuEw1ygDmqI9OZ36aJrbbTPYqIFmZrldRpdFA27ONADF4/HXxjyKYhkRU9LgYsIJ6e+pgHAkGUjkgUhLSBg2N9w3IMwpylMaKScT/n6efcC+PLN8xActmMGOhu+4bH6EpsV/yAgOoO0n9/+HnR2B5h7hr455LAPJ1+wc+1i1AYGhXOs6eQf4IR+uigYUp8WSlweZTnAWFNpz6mJ2u4d60kbEPGnUwENEvUTbVJbqTCjIAQJlPo8IXEUNdQEJcCAhMvd/gvy8Q3E6TmsbErv++Z2tRuuN/7f1X+zsNyv/vYhoN066sbVlcRuZiq/iWvuP7rEb/7LuhyPfsFPLMffdxfMnz7+1fu5qEc0RPdM6QIHLo14FgCDKRFYNMiWU1MaoAsLfupYpQwobhpDby4OfkoJ4iZQWPyy9jNLm8wLSdEtUyzvBB3lwOVwbLXYqnl6U+o3+Qo/Hnp1ttBtL+ihOZyBQXGwBS0Z9zJIGwfoYXGwTYYlLnVeWdKFwoCSqAj0/LqoW8qk7kShFiku3kK9cfCPVHyDedt/qpeyLL06zk4uXtU1DyfXfE2fPmrng0Ccjbhg+flxtq7zz3ZUzXhrU/O6sjqN73mrbXD2iY/Kzm89vbBp7Y/3VcwaOI3vqq674XdnlYysH1Ym8GajvcgekQQFURnOzZJfFEgyCCwqLtNy6mKZRrzd9RMyrUkMdR+Nfdbfu7DIBzCIaw0J5kS16edcXuNOdBXwbyU1J1ewxtvTOqxtHP/3+JIOl3xOz3v0nmr9Y+f2d8VNjp4xrbbm7jQ5mdazJdtYzasufW2r+83/H0fEE+3DTXbdNum1+Hfd4stOSZuvMURh1OXnyAPjtnsaYXeumMPAnaOwXTOb4NVYT72PqU+xG7xcf6mPNQAQX6/IUcHKmcllV1UUlBRXFZdIaYyZNUjgzJ6Rpm8u6mKrApzM0vUgYbrTrbF2SFHbS18Xa5GhSmF5P7JYqZODSiqKajIK/VYNEqQIEZRigFxShVFwJURhGD6JU0ZlDP443kvW7ccNSPH2abWFfCns140peoYDeNeZHHSqlRgkMcp00ViJSV30QKhkjagSue7JMQH4304/FkrTgKC9Tjh69VLueUScBrhFPNVAUJJTKEur6Ce0u1dCFuorNZH28UayJb2IaDjjNtKWsWmioXPicrpB365FYFc3LTU9PA+B2dlqdhUV2QCMFCAazGmNBl900ImaXkg7mVCR4KJVkyfpRJFR5F86oRckaXOFoe0m/7W6YevPVY5uWvzf1w3P7vm99YGyIHU4139VjH6ob1tLvqqpxR9u2r5m2onVI9RVXsHUX9eMTLkxQdnCc6AuVEIv2VCsq3G5XOGzt77rMZaWBtEDvNOgN0au8hkhEMg3QTPzqkVUq5feAklS7rOucMleiPU7ivc6kQtuiYCqrfNTdlVF8fxLxCKgtj3iUQC44+jrzOa06UfyDSESH3x2j106vnpWmTXnhlT1o+UfT/qt9NdGau79/Zhf73+exCP2T2Pz/ZefZXez6I/gIyv/EkRs7Yf3IFpM1FG27n5x++NQ9Q/otPPTGQSQBH/Pd/9Yf/vjjne1sx152gh0p6f3eKHwYW3/EZZ93sA627uCCpcfMzwj7AIC8WN4IKljh6miAWKkBQZHNZgqip6CSZLOSmpjVSs0yBZocIpTouZRiZWGortKL8gsDiITjI5Uik+LHJ7FXiYTziRJnywoMgWdwNFstbzxXRcbikdvy72CqiPvXAaQznI/t4Idczsm9VLdbktKzzeY83vfZ7QGDlqalDY9ZNLRSTbODPb0mZneCvyYG9BLcSxY9KQVDSTe5ArmSp7voCQYwWfE4HPqnwOu4AyOYNn/C/fPZh2fjx7C84/aZ8xev2nXHraxT3vDKpkVrHaacdQ++/xGdXTuy8Zr4NrZo3PgNgDCXI/UBnh9eKI36VZeLN+NWnxscUBNzSKpskmtiJleyNBOvSfVEKuQRD2+0Iw4l2BUdoTI+ZiikBS+9h9OfOtrxL7aJvdiOkQOHDrc2tEs72U/HmW846xyGi3DSZ3j9azd1FvUDImwoz+E2NIBd1OtGAIdVkjTZUhOTqWTlLbMzaamUcEELnGVzAbVA0BHKleew8ew2Ng534wR8gL3Dxq5ZjO/xGuQP7A55A7ubrcHDnUMBdY8RLs0Mg6L5BgnAqphMiBbFWBOzKNxLAnII3zehaKqJofOXXkp5iCsitPAkbol0bqDV8RN4ijmIm4tl7zK2BLqkUsalGqFvNN1AqVkBQDQJoSl5QlZS0MVSLhaCX7P9dHD8OHKMEwKWxLu8KBdxL6ZDTbQo3e8nNquVEFemy2DIsGlmjQdbOr9BNkt+r+zlsmTu1FB3wd0z5VlnstgW8BBwKLpv9YJL5RlPdMKNOALkU1L14E93sr+yVfg43vTxgZtW/GXnd1vevKGVHafhuOnyAlyMU3AcPjDybB377rOT591Y2mUHeYJu/Ug004jIzW+QJFm2GGhNrMaABoNsUijK3QmbMnfKFN2XPIHtjr/NdmE5uRrDZG78Xj5t2EIGAOCFiawBT+ozgRw+bSAGXiPLwM0MRsr79e4NCw4Rxa5IJL6kRnJurq0bOKEZy79hDV4k7gVL5JHn1l4AdgYS+tfxVS0wMJpjIcRkNiOAzUBl2cq/UrNZoXwP3VtwpgBXF1eWAOXEQAdVfSMRDKBcx1awhYvEZm7FB7CZETKxJf4D39CN6/Hf8XkJ6VIlly6LPUkqBVCQArccJKJUl6GXoPq6r3PD1MsbzldfSPxvRcyR3dAvmukGo9nI1bbxUPHKisdJjEQxq9QGilBcN36X0mUp6hA6Y9DpEYujXuXykscVRBpkK4wudhzbcaSC07GdfUgtRrZEms9Wzok3cw1WSi3nqklH6R3oPr8kYcedOm6WR9NMYETFagVwUFlRVM1MVW5RVLtHv11adI/EnAKwL1KEcM/JO9nv43fpSiwh81U7+qQGdrQtXseFv4FZvycdQPQ8+VKfDHgE0jgAfBZF8RpdNTGjRO01Mer6daQROSBexQQy16Hxpkj+kj3BXubXE3gz1vNr/PlDb76Bs9nSNzaSY+xxdivejVP5tZCj0mP/OYvf4smfoAvtpHU62rkEFkhGowdsNrvdbQXBV3ZNM9TENGr/TSzoRn/ZLXHoEyAo4ckJSx+au+BBspEdYacX8yA6iCb0UGXmlKkTd504Fz8rb/gchAXYat0CdkjjEZynUFmSCDVIJg9AhmYypVOVEwBXRFK5UWSV22N7Ev4uHU92T9OQe+LX7PPaKziWzWZnfL9pJMZW1bO5OPS3LSUP1S3lg9poocvnk0ySppm8njQw8cTzu4wWMA6PAZgtFm40C/WaRcikzJbSWfPzuXKqQ0sxKLdfgl3BF0A82brsgaXLW7gB12EPzH7oTqxuZWvZKtp73M0Tm+Pz4vvlDUeOLdxZwVwPk1KRVS2cQX0ce4s4n+RlpKcHICC7LeCGy4rdAbAELNlGX3ZNzCdRYyq+uhvwVHHWrRpn+IvGGoVFl/MhDadWMcJP9LZen9cr+din7JuOx/ZeN2FqnzFL7767DtWvZu2f2TrnyermlsJrn977BC7f/lkz5g4srx3e8+orqypveeqmzf8qL/13n8KGgcUDKqrHbRP6FwNIYiqrimdLCgBFNBhVKlHOuxSdv3y2lARgcoLtYrOlOn53IGEMEF7k+dXC13JCQdThQHSbDQaX08hRhsdSYuuXVBAOtyLx4BHI6+6CYLnlEXbyLfYFex/D9zz7BAf0ztqVZ+7EwHn6YufCPz33/DraBqjXfyHBI2K+RonRKAOiVZYkC3BDJ+q9VNpUJOaj+sXtVx6h57CC2dmLTMMKdPlKFXO0a4DY+dTwvZeN/qJLhrqRy8gSsx+T0e52yQh+v2ynlszMrKwci9mcnemSzdRvt6NJiOSi+EtCbgo1UyM3WkiKOMKJUtMlGvCIi78nPihD2fPbzWFJ6WPdxqngfix9q9Sr9HQdwoJDth5mUy/nm1hKoRixV/mpUJxwVT85trLi1EAa6twb+aS+9uuhNBsStmnSbVMVzTXLnPpUo6oYTYpJ0C2VLGYDkWXJqFCUkhDL9evG+ooUZ3VpjZj8Izex59h6fnXg56wfNmF/DGMtC5Pi+GHyHdka/47Y4j27dJCYyF2B7wZVlZEQEERvNFFF4QqiSgVDdslOjEH5Z65AarLLowIDZAGWchEZbA/LwDo6mozsXBTfQUqoXleVJiZ0RugfzTJISFUVEExmlYuSRP1I0IAGUcZdOgxNpl1qFqqPbALSzPPvkbfjTVJ6vIrs30m/RXi/0ykkLWUbyWw9T7KjVgXRIIFRJlTBfN2EuvH0BNZX4iUpmc0y8bOPPmIblXMHz60Xa1gA6MDkVFt/ZIKYnGpfnBa6sUmAHY9/mJhqI4S4fJ+QL55xoKIY+VYNoOZTiaaCvQtCfCFHMMy1CH34IX7GMmfKjQd/UoR8AzFIA+R3QIHeUTdBWVYkSTznFd6SVJko0DW+xLKLeyTRZYcwiGjADQ/jqVO8uP6KGOiGzmqyKN4maq1OtpHWXhja9SRIRonoRhEaJZ5K0NrOFyl//vMAAGKNdIQ+qATAwK1gBjVKRVTIdwCUpB/rioP0XWLww7EvHPD6PGRL5ZkqbKpcLx3ptW2gZ/z7GYIdmjju9pfm6E8Zq6OFTovBQvLy/P78LIMhaEkbFrNYZLfbPjjm5jWdnDM4JnvBk0Az/y+ZVYSeXlcUJWdMvMcN9+1u8h0omny9N6YT+huGr1r0xzd+Or/5xbv/On7T8Y9PswO/X3znY5MWPHHDsNfXvfono1K6rn7f+K3vx32E27h55MJbxwOBFVznDsUNTsjh7BvIojRg1Mw2n89szrWA2WPUFFDSh8QUL7iGxEC7mCz83SHi7H5mUeZ0aISzRVANCgTlw1AfH9d2D8WobftHX+7YNsMT+hpLLZbJM2ZOJJNvaZk+Q5rNdrPv2XH2t6XzFTdbPuiJ9jP3rwh0PPOXNWvWAMLoCyfoMWk2eDi6esRYymclxCubh8RkDexcM++lZZJuOTk32SdwmnJoYkjgUBQyIf4DZqJx81Mjh9525cmTzcuHVf/BTQZgFvauOZFVwBH49ZIydr4kH4iQK81M2CcaDRi9Gi+obTZhqFy7xwIOIyi6fTTdPt5ft4+oT4Q+ecShOXlPGioU/BLkji3iOnVPiAnZ9vHnOw9ON/mw7Jv+1omT5kyVp7dNmDnLjWVoRx7zq9vG4YSfTjyy5vt7ViWNk9BynD61y+DMEKROSUpzOLKcJlOm3+OkzuoYFVUUVMesmuoZHFNTel5aloiry3bI3RbgrbNeR4XKwOMJ6AVAxMMtOP2GaQZcT2aVs+/Y3zDt7LdoiJfID985vmNc3Qb61PyZM+d3NmAPdGAahth3Jx+789Eel5+4rCjB7nSOkgMeuCKa7SZElSn1+qwAPhndyHVz283akJgZqJ4bgp8v7QVDiRwWFgxH9KfOeieocBWpiZ1l+9eu3bj/ufm1o2uv6ocGOq9zCZ23rKHh3ZdLPsoafsVgoKAwtzSV26sYyiEKd0SrzFlZAwZIfRwOUqzmSkGUpIHpPXr4fJFg8Kp0K1jRqlj7qv2GxYy5Eke5wr7FpDpWXFxYWDksVqi5e1fH3BkXz+n4pxIOWz79gRHv0LneqJs2FQ76ewKfPao+pSsqEvmsj+ykQFfCF6ZeRcGFyUQK8v26El/4WGzqS33OfxjpXbL2ndc3sTfYvm9+vP3WksHVg5tvOnmsZKGTFc2buvrNabOfa5w5/drrmura10otT/ceNqZjJ5Xzew187smt/1i1bPw9We5Roeh1xYVrZ732vkM6L1UOHVlb2WcEHT5q0qRRuwBhBYC0lmeDB8LRdATw2Y0Wg8Fo9Nolp1MaEnNqJkCjR6D/JfU5336yUOPaKqJJEuCQeFQirWX7O+6YxfZjqapqE/61bQ958LsXt8S/40CwpeDekav/vh0ILAPAD7lsA1jEZFcyGsFksprtJg9Rr4kR6DJ/ZWoO7uobKtNnnyJUlrW3X3ttO14phMgLHn98yIjzPqkFgFxoY259XSt4oSTqd/L0JgaDT/NcE9PAaBctOk/sjOTEKYEwCRGJxwB6tajQpMDBcxoHXzN8CJbum6GLZe60066mRmnd+eJXN6mThXRIWPMH/Un+NdGgxLmTUKrIsmYzWa0Gg8lkN4P41WCzUcXkofbu2oTf3cjSZdpuokXRuGOyi1dx22KswGZWhYd5AffOIrF9jYxdh40sI74Et93MVivueDXr0gYPcG0ouF4DRIkAevQioLvExgPivyvuhO7qQJ5BQRgeLXS7XPrsKDMzI6PAajSaTPkuq9WRKzu46XwOzWzPRJNH7+G7krl7+OC8ePqbjJDCRIiEfKFykdziVfBd8q+ke9n++uvnTGL7vy529F437Xwso/dL097ZwvbVXz9jOnlw3rz12+LfSS1Lh1+/urZpy+F4kfhtxYuQjGCut1tMFxHAq6vrscoOoatQFU0Xx29SyV/XLRG8TS0ierkyof+ZtWWXEPbn7boC9dce3JHE5yf0pzhpostXLJYMcLnSvcYhMa9mp0Nidu8vu/xUrvPeVQMOCCQs6MzrxGVT5986ecr8W6dQmX3ELvzxh7swGyl/I6Xt6/70Qnv7mhfYKbbnQTS8jE7s8wA7B4LrOep1cC1ckMMn1Hl+RVFNlKpZmqrlcuQEq9U9hBOEwa5mQEaKzBKmSBWoSQVlTvPepDFCnPndRKFJtuemosq2GZrG9p/taZv8wfaPbt58TGf7vePdSx/wsv5K9SPtbB87/T/s7H10mU722JDgM67pTN1euaIq8dIsyh+TpOUZ+fg6PcNnz/ZanE5V4I0FhsQsv8m6iSfIBUmS5S2dL8HBXl8ook+LIkFBaLdMkafPPzxZ2v7R5zsmPXeFIQMJ22e1lq48uri9oOMZ9uLa9lNYiho3Z9+6xqU/bcBDAybXN3ZFFJ3LddVEh0mcejw5BCxZZVnUS7wGFxqlMrTMRy+JIqpdWewrCD+6iu3/sre97yvSbCP7xLR8SXyH1LKxZTYkqp/1XIZ4dpmjpLktAEU5bnchWNw5lhxTli9rcMynUdPgGPX+vJ2/2BgiqPTHK2HB5clePsGgXCkPt082oetPnbx1/bDrDtW395oycuG8yJd/3/Xu6MZHa5Zcv2zRrf2wZn1HILfzsvKx+b0rCstHz73+8VXN/8y//JriK/qHR/+30LeE6xuRa8AjToRYDHa7y2UyEIfB4fWZnHbn4JjVYrfL3HVyQt3QpktOVnRhgnBcxKOXvoLpIyFPwCO6cjK3bsas9tdeeHRt8xasYDuu+TD4aeiNN0jGwgknTn4e//yqK4UOT/Gc4zM+cENZ1E8cDrfby3t/j9NoJ7JNtumyPcmJ1sVDgItr7tQYgH+grxdrpR2zt72PpSLjsXRp7XUHt5Mj8dki4Ynt/EpI9JkPcrlm6BV1m0GWiYgIK0G0GNEuC5llKWndDU1X/x0SbTfiOtaElf/INyryZYexkjVJLfFF86aMXUzaumS4AZRtXEaWOMsoSyaOIVng81ETVTMyMjNzVEXJ9plMVLbbMxQ7yDqidR3RdPz2LIDSIO1WQ8wBsin/pGskRZpuUfew19lm7LMwJ1eRcrT7sG6R5NCsqBgvN92NPdk7uARPdt4vtTDH4m9q1lxH/PGvvE03jMkcer4XnuKKI5gApOW6bWqi+YoMaKSUSAQlGWWzQVWtfIZmMSoUAA1mj4T2S2cBqaROkYZeq3KlhdkClOu/mD2BI48cxZHsMWxja46fYO2kPwmyZ7A1fiy+DRewhcJLzK17ycs1KTC73ZrXK0koahm/Jgob/pNT8no0p9XJMTHDAFyVskQJkKKvhBlTUzxHyokifvTqgNsSaw9mmBRz7n4cwoqu+vcfR9RErqqfl+fkfr2/YcZNo8ic866XXnR8Z72xNZI450HXce2MIn+oKqkIYDYgmvQhAm8c7YR/MwyOoefSIULSSMJGySlCWEwR6LrOB4nC0uhAZiCmDrLp6+3xekDI4T38Id7D54ipCHUbcnIcfn+uNTMzIFGXy8qjKd9qSbTzYosp2hbbF7bnuBrm+REWRw08Coc18VTQ4xFQ6+EJhDmL2m6/c/OZG4cpn31T3XpmM9quH32qucGAVz7Z9jEdXMUObcyzBF8xskNVg+knbU8BIO5gJWSlYgMK7tcIpZJMAaCyhONDYlbqCOKOo0cV29lA1ylOauB7yBN7yOHlOmgGQ75bkoI52TabW3Z7qCzl/3/2IIuHzuFynuSi2BZnlftyiBSnzxyCyzwcrImh4e0Xbhz2+9mfKtWtL7xTP39x26LeM2aFPyFVQ7CnuWmyw5K3EXsOrqIfh2dPY5tNjY2nGm7QTxGQIqmCtoEHIlG/Ag4zmKnd7qNeu82mSJSaHQ5QoCRU1lYi9ElBdqqp5pwa1sv/RAMmELwQB0baym968pqFwxaOC99ePv7pgf89chFZcXX5l1NzcyPRii+nphf8lzhBwpbiQanl0rP6Dg26zurbad4v56mukCugE0Wi7Vh7JsTasSV5lIO0dJbKBcljHAhLOdJqfN6cwad7QYchPV3OyCA+n4mYMrPSXCNiBtuIGMiGNH4pGWmKygXqpwH4S8+ePzvOII575nOCTh4R15lS69q26gmSEBt94OCr7YtF6z7vlm8b7mpdcN+rL/fHcyhjZk77c8arjmflv/Bn9kZObzbAuFFEB4A0ST+d2BztZXeaidFqTfd6iV/zO51ado7Fn+avjxnT0sDFqcleG3P6QR7xs+NNXUfUIJTSVqjbjT+pBpRfbpXXFSKawsFwiBuQbNyyZcyzs2sbcS679w9k3/mvbhr+6qufy7sbvojGrt10dOm6WtZ5ttes1keObtl5BAjMBCYFpHXcnkW8R87TLC6j7EsnBrDZ8jIhM/OyYp9LSycWo2xQPZ4ctYBHz/YyHc11H2qb9S+iA4oURXyC3SM+0WGqPrVIoJJaFCmMXFRdbixfuGzBqEk3j1qwfGE43Pbogt+Nn93Y9siC8v1T6+qnzxxRO50cnPC7BcsWhCMLly6MTZs8uu2RtlBo/iNtYyYOnz6ttm7aDBHpCoDEp+PghZnR/7I53U6Plce2UaYyMYkJqxeRED/HBp/idDkbYkCRuuwmm93WEFPtdgt6FMsl5xX9mtiW3kNfypcpEhAfkgPKkCfoEXdAGF7cGCBD0YAVbOGWH374gX38448/vsOW4BViZBv3vHrfq8eO8RdyHMhFiKNCMGoniiKGmUaJSlTVsUcEbCpFdAhyJGBIAFHnAbag8wAAgUm89lnw/0o5D7g2jvTvPzOzu9KCJNSFaAKEBMYHAokSuQpiY04OODjYsWxCcjbkNaluuPdyiXuaS0jHpPfeE0N68fVO/ObSe+8uy39mVlqEzr76oeyi+bG7U3bK83yfkUZBGZwCMyKlaRaXRRTLC6E4JyfkAld4DKmpsbkrK0ttpSafxzc15nHqTVNjepQycUvmivi5NiuyMYtA0qyNo3NOVr9OFfZJmt75WUW7VMhOWtE4fsubj9zRP33SzuaW6LxFB3rWTJj4xSuvXdHyYsOAb/bpj257c+OS5s4tvmrim7appHXPputbn8kPlVdURssit194/xklXdGr7p3261Hh7uKKUGH0uu2nzi8Pxya1V5qmAUYu4UfygiRwVi0/YrQaWIvIdGcQ4pBB7dzU9snCdpLZJF/SOXJNjdRPPa0uMhVd2TKurqk5Mq5FXFPXEB0/7ucNExvqGieOb6wDIIw7lSbR99oBPqhmvm9ikm0mm7/c7yzPc+bV1IrpYEmnX1mlhbZglpActKMVbEo36zBrHWyifBGnSASrw44ZvIhr6bwgFCxiuH4R45HIul+c91p4c3j55tf/fvilPddGFx5b8zJqf5X9DCi9v/m10vvcrj6U09uHsg/0Ke/29invHSBfX7VJ+TAv99nwkcNvfNd82xjlI/4/Su+rLyi3/ObXaPaLTJb0b6xlBfCX+DHKMLqgAOoieZk65HLlmXXU56PLK/RmGI2e9HQbys4GEGweShSEA0F1mAtak3BQbR1SPGxVVo3K6irbp3YM1ToJV3pGr452r7n58XnrWi6tr79h3tY9yqTy/KbYvMvxsYvGRLrPu/BCWegef0l+cNcmpeGP/qIz6oqkNPas06Fd6BEEkMAIbZHRaUaDTKd2RMKCgERqGDdkGNkrBpBGCE4XBIMoIpOMsR4lWko4kLBqJI+K5j8Faab66Q897w8yR4ALIR3yqYfpaPGg8hFyDSo70RG06A12/oayC49HL1E/s9K3DL2QNXzKGb8fhTCZCCJkRZgzSkcQkogAAdYJoQTf6LXQWZQQHjx2hLz1I7pgEIaGErEHWAIzAAhaezTEW+S5kUqBYFHUgcViJEbamxB9uT/ROLFE8QLBIegdsp5+naSN8spKbara53ErgY4FlFnoIwadmhP5X7VaYcvuz5QHAu8h/cO3K+s89eFTJuceP+dft9utd0xUFqDpyj3kqh3K1+H6uhrlzX/ZctHQEckuSNLhJG8MjPTGCNLRbwWDZH+Fr/6Jm7D5hAmyIDMiQ0ZGTrbVkMkqRQ3FUq17vL06HSowmDyctbXd2N5201ln3XjW5a88G6uvnz2nLjJHWMg+7W0766bZL10emd02YWJ7G+NFAYSwiCGdcx+ZGTqdRB35BoSomd9sMRrSZYQkAYOKeoYC8S5MM5WnxriwyfZwnAs9I2/h3kG0RVlFY12UNylYiiCAo/gZTriVRKwOA5LAgiyuTNnkwQ4Hyucer4lJXb96j39EPHUF+JnjK/5+briipGXeqiuf3np9+4YudA6O3jbYEQv6S2bt37Cle8be7rMBwVgcxo+Ir4APJkRy7enY7QbIl/LTzVK65C8mdrvDIed4PSa5IIE5pbQ8dlABTRX6S6xu1DgHrezj3QjuuaN9/n1P7N541ards5oXtJ3REgwFWsOdE/b9v3W9wlu7a432i6at2N7wzOzzq6tvrAr76ePuDExYn+qLI0JEDyCnCdwXdyjui3uFjR/VNMjMIUk6ao6YiGZWHZ0i/DX75U5H1aEgAOK2LmrkhkxmMUmXJFnOsjrBQR/drXNlOGl7yiCq4Y2Z+zTTkbYwT8qwtv73xo0CxS6XhZtDZ7WvpVaAD0ZnlC6fNWF+vigy+yj67YoVdz/PrAF7Z8wo/9mM65SDUhQQLFSOCbslO2RAIOJINwsiAoTMFr0emUykKWYSWc8XiHtk4gMlbe5qgAb7UsMIa0IFwu6bbumd0PqX1/72IW5Tjkmn/3QfCVmPHEWCwiKd8Cj0e7KGEUURmUU6Ebk1RiCQCHSypSLhfEr/+2Eqe2hQsaNeALBCVcRlNjI7Fh1Y7Gaz0W60ySYW9pXNXt9QQI0EXB1/3PjAIiZPQYprQ3RWgnr3Xd88KXuOu/GW5v7s6Kwj6xc5btOZJpzh7hmf2cktXDiKGxPRSYI8MjopD+WfMDoJeePRSb4QbvyciNkVzReismdxFD2z4Oyi0vHr6MwOwnTUfEt8ic9KPBFjIvYqgzhkDw/xTGK3kxc9YlKPgt969IarH3/wwP4nFG9dY+PEiY2NdULbnf0v3Hr7wAu3dHR2dnTMm5cy6s2OlKZTy49OL2AW1Ib01FNiGh70BD7YIdHEB79/Oej1B9UBL+6NL0aoFonqQehRdg4ip/LxIFqsSMPn2KuMXYbaUNsyJZw1fMrGrnIA6Qpa2n5Y+TuAYvg1fgUA6eAP5Nrjj4L8IMFW+uJUVye0D51Au5h8T7W6B7CZSZlyNlXeJ75ClUs8XEnM8as+Eb9qmXpVwDBeWUH+LLTzNU5DpKiQug4YJk0jh0pMoyDbnI1lQp0JPk9rzJdhoRy8xZvKwaN4g9Cm5HHsnddbrUub3bCVWHLF4ldiF1wYPjM27aFzzp37w3lvHP3F7rOrUcnw6jY6d1dT86yJ4eiY0sOnTO6//YLru+j0cyyamXhHhoZU2lu3GPuhiOexHiQ0HfQPYqfoh9HVJ1B0w2//heIgzFQV2SMV52iKgYTCOlIxU1N0cUXaQwR7uWRYkxbXSNDfPYvXhpfEa4MpdD7OPtrg4sg4yUbMNmIRLCjNZEJsvgbgEETRbiYUvqb4syENGQkj/JFkkzkxTAQrMmlscsKiQLvUAAeUNb8G7yQ062PCs0QKkEYsI9rR6nzH9imOvcoLeLew9/ghbKIUT+hoLlq5jiPvcYqZDnXNrC6WKXZGjNP8+VlGYAXOBfY556p5+ZaodTT0KC89ZE+UXqqiG9pSFPdShT1JcXDoO1XhHnmNmZqia+gnXgMYFag1wGbucZ7cAJnQGCmivUCW3ep0GlBamtthAIqVWwGovcRJi9eKLYy8TgmP0+BgddahWmkscQqUlpiPo4MhBwPPA1tV5FzFz7cKwm9+d+CzzzahATIdd1Du/G5GoOPWnR9+ofQoyl1qHsRXeDuriLez36eUA+dUeTlUxtt7N1fgvJMpulHDv1AchOdUhXek4hxNMZBQZI1UzNQUXVzB2vvoeGkj2IAMglnogXTIjaRLBGTZYORGZXcgqMUn8260FqnLBlSM7lL+uB+Vocqr6Rhetkf5tfL7vfj3qKxH+SMavZf++VuaSiUAhD7DLeIHkgA2yIZCCEdyXJ4cuz0tB9LAW+TMK3Ab3QxXJQWpdOWImbyK8arGGFaJqpEG2V2IO/yqihEFV1Wm94Xts3tnv8iA1RevaL1x1sDRP56CjrR2UWL1/ZBiOG0+WqzyvXWXXHDpANrEwNWGNfM3DSi/fHYJ/rbsp+8e6j5uKR4aUmlIXgO18Vocrdaz1uOkKrqR6V8oDkKPqsgfqZipKbq4gr0RJcl9kqDwq4yNv3kb1KtYuCSJSmbrqZpIDiOjjbIoSpJTMDbFZEdTTJAFWdIRyZowKGrdjOZBjePIDroW0tZGwh2UUz1yNcPaH1CQ4fikjst3rbt0NcHv/agMUij5c2Vc18rz5/NZJM3JfMkD1dAaGU3tegXFxQDlWSZTbXkgUGPKKtBBcbEui2SWhkqnxEIQcFgyozFLwnGq7ZUx0g03TH/aTYLqcnOkuuX8iaFL8zhXsVAn4a3SSDRSWl1/RVfoo3fmXTau+ubIbfnTo2vnNjQ0TVjXsWQjbb4+hL9FfuGvkV+cNqai1JldVTJn7srmu+7JLfy6KLhqVGhcaeOylsh5lbWnl49r6TrnKPVMv/LO/azH5ASbVEBr5VQ+UtQfAPb2jbbEazY1vfvCE6Xna+kHfxhi6RUj001a+kAasPTikemClt4lAX+3T+GCYcUDmqJ/lKrwqwogTCEpQjeUQBBOgS2RydU1JDM/P2g3GoNBuabG7/GMKZPlsC/fW50fjVVXsyDp7OxQNJZtNo6aSoF3p+S0NFDHPHgbYiBJgQZGv/ERLZmZ0t5q6wkJKnqMhzBz8MufZG0ZXsZRzHYYrWJk1TDShwoZfiVWbn2rce4L19/03NdfPRtr2nHzvKc/emdx/d3LDyM4XkaJq+cfm/bY8bqFq1fv6FyOvX+1oHvwefbOru7Y0zcz5q91cn3Tq52bInXKZx9RCGvWp8UlOEsQzpxD6T/05acLVrNap952xtZhP0xWx0+0iY+fnCrjtT1FbQ2389oqStRWanr34n+eflDP00eNTBe09C6rWpeVidoeugYAvcGv8LTaXynTgF0DGRLXuBwA/y5J0T00eaRi6JdU8UmS4qDyuqqwJBTvUMXlkqApuriC9Vdu9UkSBIfk5fPVpZGx4MYuV46oJ+kEY0tOTnr6qEKLpcQNmZh+SJ2ImdjppB56CnnSKS02+RpiJifBU2MEnYC8izsQ2clwI9I+1YYLf3Gtkw8SVgdtm4XAwyNdtX46hDAvXCL2GCmnN3ZetuitjjuuvUr5/0PfKX9DwuFDDfpT17zfga0rz19x8fIFq84TXdXF99Wdtr1n/m5lz4fKh8pLyPrJR8gyV+hdtuva4/Mv2Lj1ih27+lg74MwMf2tPV9/aEPAZUHI97ucl3KK2k5t4PReeOJ319ZfAyRW8pRiS+gUt3aSlD6jpeSPTBS29y6C2pIDWK8yCw0JYeIl7wbKhNGJ1pqWZBQEIyYUcNwVKAXHz0vPBYdBQiw8WTxJRTWOGj2+K1tf/PFpXNzVaf2ojO+KOwcEvTpva/POG6c1EmNrUMqWhpRkIfcaHKAN0OZ81eEfOGnzxWQOjb0jBFAZx/C+zhmCNsJ9hQWsvOLVn0n5GBm1eUrt/zK5jR21o/OiJKy9AhwzKa/6alefjSoYJlXV2dVyL7IwUqpp+Qes1ytH2RjTouvnWlnFKMOP2oSGVpeD1c2ZST4ByefGmpvMavgVOruA1XMnTC0emC1p6V0B9A0u1np977PkV5qi9zXh+BQ8XJOgmziYWsLhqD+1vHQZzli2Dxi8VWsCcbXDIRM6dEpOdxEnL+CQocxLLTDtnDWdWTT4Wyh0nAU7ot8Herhf//uZLf5xv0ulUfvGjOONEDrXMYEgzK+CtE9qVsXpQVixvbB7mnLQ8CVqeut5Qc/0zNdcJKk9oH6byMk5M5VGJGk2mO108BE7wQmekxuJwGFF+vs6WAeDL0umKLHa6drMgI7HQX0YznaWSNBddcwhCLotpRQ5tBcd+ThplmiAy+BMMx2M6XcOLuERnVGvx+3WnH9vn31Wm9Cv3oTPQhPGbvaRDW9Q9dstdd/XVrfR7t8jpaBvqQuejTSZZXeCR145+8+1PDivZbnPyN+hT3SphMXhgNARhQWRMoMKEHQ6/X19RkWu3V+Xr9aEchzvgiMYCATCbfxaNmc3YJNDOmfLEZnDT4VwQvFNiQupwHj45Cp00iOdT56kG4bniI7dDo6KTeT2fSk+Ltyhf7dl5pPfHLSgb4QUvT7nsi2+R+bhTt2fL+U90tDx99FwN5Pu4fbWMBnC3/ZprdiD9/ciByqY1XcvYaf26naXlbOCeHGf7BhavuJhFHD0h/FXwSAVgZP0Zi5ozAMh6jE0ZWF4vsh39sg5pyx2NKqQzEZ2XGU+dFNAgrdc1Ne977elTUafn6kbhr2ed0XJ29tMLqh5sYBENqFX4M4lKD8Q9ehmS1eqmkUWyR8ay7CDxvRTYHVKNZ7qk8YhEdy1YcOklCy+67Pqa0tKaiorSGvGlCzavv+iCDZu7ykKhsrKqKkDwa+HPgkEygQuqIm4KNEUEQjLdBhvobPTrYvM6MzavFyCQ9fpZmoNENQebXw6qkISXvbF5mNVHiE23yjF6xRM27knfvXTUtKZoET+/fAk7F+uray7vKyjOr+KHAr4bGHqI3IN7+G5S+AS7SU0nbeih999Xlbp/qtQllG7Sj/p4jIw7kiaIOqTTySBou5KZB5gLq7jGWhvCumKTs7N6sN5L+p1zkG2h8t3HkHQFCVwRmQhIknSCRC8wvD8WUrffQHtNwbWDkz3iI84XlPdRySFI3luLeVIwEfnuWhIEtNuffHstwOzeZBl/+gzwRczUIGsiggSSZNFlkHRtI0Z+oT8E+bOoWSnwxY/oUzVPdILhSZyRP8ezp2Vz+E4SGJn/ndpNDXwrMFMaMYjsRi+qN9Luoz60qB5QH885cqO31JNM8Ua1DBJFgVlJkOt5SRihMGIaeQcIpN7Ap91gROGgt0eWkkvbi2wunXrfKIyCdLA9wszuRplAgHssUq3uc6/avnXvvku37cGf9hzou3r/LbcAELbTizQXhfm75mXsYF6m6kEvys4gbKuXAofMQuS5LUhtbJnmP9AJy8gdX3yp56m7v+Aps89kZzPacGPqPmctKUf+VkA7vpHbtCsijrgDV9RLQAg9pa0JI9VZmsxW0W/VN5vqlE12xKZeO24nRzp2bfoHPRPEf7z2SBs4vvHEBm8ApCxj83oe25YVSSeAEcaCFtqW8B8j5EX48mN//IKMjge2AeK7BW0S+6EYdkQaJaL3+XI8RW5ntmywWIrSafaLika5cnP12dklBpdLzpRy83Knx0heRt66PJxOMvMy82yFPiiEabFCndlkMzXHbNp2YiNNoxZenyxzKUghO/CtQOhvro/H5DgKdA420DrVfS4oWELdb/7qWvq7BuL7XXhXXu9CVyrtGKN5yj0hZNq9ecn93ynPj9q6VMBLtvjQpG+e6ps7ebnwys5f3ucNFDzwTXgIxqK0Tx5wFVff9zVyT//Q4+XsWgfzjp+0n6MTYDbdHRriMbs/Sh7wQyNfQ04lboD45x8nfd7MPgcMBhzF34tPQRpYGbthFXUmWnBEBixim90k62TJikTRaiW6PJLPDTwBLSYu4RpNwn+8DhpfWI1CfA+zWrZnHP5+zefKBrTh0zXKHkmuzliH39q3rwfXHT/UN3Nu1gWuZ9Wn05u0pyuGRuJWn14KAMTT4QTpzcPp0q6k3PF0dS8BvtMDAcsjIIiIQGKXQLYPAt8FgTU2uvZ8EQDruB3sL/EV7krVDmZIWNNupYoPkxTdQ3NGKoYYgS4mKQ4q76sKS0JxHADfqZupKbq4gq9wuaT6/wCVeR0IAAAAAQAAAAEZmiehT9dfDzz1AAkIAAAAAADJQhegAAAAAMnoSqH7DP2oCo0IjQABAAkAAgAAAAAAAHgBY2BkYODo/buCgYGr9zfPv0quXqAIKrgJAJZXBsIAeAFtkQOsGEEQhv/bnd272rZtG0Ft27ZtW1G9dYMiamrbZlgrqN17M89K8uVfTna/oRs4AwCUGVBCU0zQl7DAlEIZWoPOfhXUs0BbVQAL1CG0ZepQd9STPdUW9dQ61FGN+U5LpOW1pswUpmU0hZj+TGOmWnQ2lPNyV2rEoO/A+mUw0CwATG8cNjkwyXzEYZrG9Of5NUyy+XBY7Q4Hm9a8tgCH/WU4bOcwPfmsjc7GvDcYPWk7StjU2G8qAf5xwHQE6D+zHRXUbqzi96bmrEQNEeim4V965jWnB+ho0sNRHnTn7E5H0V3nQAlaAGsawqkxWKfGhDPoO2Ts/Gdwsk5fIecd011vh9O/OaegHO9toBWAfYLM5JBSxvoNquliyEeDvUucbeXvMd55vIqRtTGMJTnzAkP5bdnsXvTX6VGOPkbfYe+yRgh/6xHoLms6QDmmlvyFPThTB2PEtbczfMbr3XUu1JD7fmqUjaYre68jzpPD3wJIH6QH0RyQ5L6Ui/GeGFqDOZLiPj7iXnpkDsKJ5+TwO3LmEe8JYecb2fcazoXMC/Ed4z0J7EFS3MdH3EuPJJX07gom+ff4/DMcpS1ee85bBLQNGO84cgiqPerpVcghUBEeK/S1jzBBfUZbwUv5X/7bkOlslqCEwJ5TBw4lBFsBJdRuHA4vYk/own8RLYvLrQAAeAEc0jWMJFcQxvFnto/5LjEvHrdbmh2Kji9aPL4839TcKPNAa6mlZUyOmZk6lzbPJ3bo56//Cz+Vaqqrat5rY8x7xnzxl3nvo+27jFnz8c/mI9Nmh2XBdMsilrBitsnD9rI8aiN5DI/jSftC9mIf9pMfIB4kHiI+hWfQY5aPAYYYYYwpcyfpMMX0aZzBWZzDeVygchGXcBlX8ApexWt4HW/gLbzNbnfwLt7DJ/p0TX4+Uucji1hCnY/U+cijVB7D46jzkb3Yh/3kB4gHiYeIT+EZ9JjlY4AhRhhjytxJOkwxfRpncBbncB4XqFzEJVzGFbyCV/EaXscbeAtvs9sdvIv3cjmftWavuWs2mg6byt3ooIsFOyx77Kos2kiWsIK/UVPDOjawiQmO4CgdxnAcJzClz2PVbNKsy2ZzvoncjQ66qE2kNpHaRJawgr9RU8M6NrCJCY6gNpFjOI4TmNIn36TNfGSH5RrssKtyN+59b410iF0sUFO0l2UJtY/8jU9rWMcGNjHBEUypf0z8mm7vZLvZaC/LzdhmV2XBvpBF25IlLJOvEFfRI+NjgCFGGGNK5Rs6Z7Ij/45yNzro4m9Ywzo2sIkJjuBj2ZnvLDdjGxntLLWzLGGZfIW4ih4ZHwMMMcIYUyq1s8xkl97bH0y3JkZyM36j/+58rvTQxwBDjDDGNzyVyX35Ccjd6KCLv2EN69jAJiY4go/lfr05F+Ua7CCzGx10sYA9tiWLxCWs2BfyN+Ia1rGBTUxwBEfpMIbjOIEpfdjHvGaTd9LJb0duRp2S1O1I3Y4sYZl8hbiKHhkfAwwxwhhTKt/QOZPfmY3//Ss3Y5tNpTpL9ZQeGR8DDDHCGN/wbCbdfHO5GbW51OZSm8sSlslXiKvokfExwBAjjDGlUpvLTBY0K5KbiDcT672SbXZY6k7lbnTQxQI1h+1FeZTKY3gcT2KvTWUf9pMZIB4kHiI+xcQzxGfpfA7P4wW8yG4eT/kYYIgRxvgb9TWsYwObmOAITlI/xf7TOIOzOIfzuEDlIi7hMq7gFbyK1/A63sBbeJtvdwfv4j28zyaP8QmVL/imL/ENJ5PJHt3RqtyMbbYlPfQxwBAjjPEN9ZksqkMqN6PuV7bZy7LDtuRudNDFwzx1FI/hcTzJp73Yh/3kB4gHiYeIT+EZ9JjlY4AhRhjjb1TWsI4NbGKCIzjJlCmcxhmcxTmcxwVcxCVcxhW8glfxGl7HG3gLbzPxDt7Fe/gY/+egvq0YCAEoCNa1n+KVyTUl3Q0uIhoe+3DnRfV7nXGOc5zjHOc4xznOcY5znOMc5zjHOc5xjnOc4xznOMc5znGOc5zjHOc4xznOcY5znOMc5zjHOc5xjnOc4xznOMc5znGOc5zjHOc4xznOcY5znOM8XZouTZemS1OAKcAUYAowBZgCTAHm3x31O7p3vNf5c1iXeBkEAQDFcbsJX0IqFBwK7tyEgkPC3R0K7hrXzsIhePPK/7c77jPM1yxSPua0WmuDzNcuNmuLtmq7sbyfsUu7De/xu9fvvvDNfN3ioN9j5pq0ximd1hmd1TmlX7iky7qiq7qmG3pgXYd6pMd6oqd6pud6oZd6pdd6p/f6oI/6pC/KSxvf9F0/1LFl1naRcwwzrAu7AHNarbW6oEu6rCu6qmu6ob9Y7xu+kbfHH1ZopCk25RVrhXKn4LCO6KiOGfvpd+R3is15xXmVWKGRptgaysQKpUwc1hEdVcpEysTI7xTbKHMcKzTSFDtCmVihkab4z0FdI0QQBAEUbRz6XLh3Lc7VcI/WN54IuxXFS97oH58+MBoclE1usbHHW77wlW985wcHHHLEMSecsUuPXMNRqfzib3pcllj5xd+0lSVW5nNIL3nF6389h+Y5NG3Thja0oQ1taEMb2tCGNrQn+QwjrcwxM93gJre4Y89mvsdb3vGeD3zkE5/5wle+8Z0fHHDIEceccMaOX67wNz3747gObCQAQhCKdjlRzBVD5be7rwAmfOMQsUvPLj279OzSYBks49Ibl97In/HCuNDGO+NOW6qlWqqlWqqlWqqlWq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<h1 class="title toc-ignore">TMA4268 Statistical Learning</h1>
<h2 class="subtitle">Chapter 10: Solution sketches</h2>
<h3 class="author">Thiago G. Martins, Department of Mathematical Sciences, NTNU</h3>
<h3 class="date">Spring 2021</h3>
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<div id="recommended-exercise-1" class="section level1">
<h1>Recommended exercise 1</h1>
<div id="get-the-data" class="section level2">
<h2>Get the data</h2>
<p>The pca-examples.rdata can be downloaded from the Blackboard.</p>
<div class="sourceCode" id="cb1"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb1-1"><a href="#cb1-1" aria-hidden="true"></a><span class="co"># Modify the location based on your filesystem</span></span>
<span id="cb1-2"><a href="#cb1-2" aria-hidden="true"></a><span class="kw">load</span>(<span class="st">"../10_unsupervised_learning/datasets/pca-examples.Rdata"</span>)</span>
<span id="cb1-3"><a href="#cb1-3" aria-hidden="true"></a></span>
<span id="cb1-4"><a href="#cb1-4" aria-hidden="true"></a><span class="co"># We will work with nyt.frame</span></span>
<span id="cb1-5"><a href="#cb1-5" aria-hidden="true"></a>nyt_data =<span class="st"> </span>nyt.frame</span></code></pre></div>
</div>
<div id="compute-the-pca" class="section level2">
<h2>Compute the PCA</h2>
<div class="sourceCode" id="cb2"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb2-1"><a href="#cb2-1" aria-hidden="true"></a>nyt_pca =<span class="st"> </span><span class="kw">prcomp</span>(nyt_data[,<span class="op">-</span><span class="dv">1</span>])</span></code></pre></div>
</div>
<div id="default-biplot" class="section level2">
<h2>Default biplot</h2>
<p>Too much information on the graph, we should select only a few loading vectors to display.</p>
<div class="sourceCode" id="cb3"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true"></a><span class="kw">biplot</span>(nyt_pca, <span class="dt">scale=</span><span class="dv">0</span>, <span class="dt">cex =</span> <span class="fl">0.5</span>)</span></code></pre></div>
<p><img src="data:image/png;base64,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" /><!-- --></p>
<p>Lets pick some words with high PC1 weight and some words with high PC2 weight. Only looking at the graph we can see that PC1 is associated with music and PC2 with art.</p>
<div class="sourceCode" id="cb4"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb4-1"><a href="#cb4-1" aria-hidden="true"></a>nyt_loading =<span class="st"> </span>nyt_pca<span class="op">$</span>rotation[, <span class="dv">1</span><span class="op">:</span><span class="dv">2</span>]</span>
<span id="cb4-2"><a href="#cb4-2" aria-hidden="true"></a>informative_loadings =<span class="st"> </span><span class="kw">rbind</span>(</span>
<span id="cb4-3"><a href="#cb4-3" aria-hidden="true"></a> <span class="kw">head</span>(nyt_loading[<span class="kw">order</span>(nyt_loading[,<span class="dv">1</span>], <span class="dt">decreasing =</span> <span class="ot">TRUE</span>),]),</span>
<span id="cb4-4"><a href="#cb4-4" aria-hidden="true"></a> <span class="kw">head</span>(nyt_loading[<span class="kw">order</span>(nyt_loading[,<span class="dv">2</span>], <span class="dt">decreasing =</span> <span class="ot">TRUE</span>),])</span>
<span id="cb4-5"><a href="#cb4-5" aria-hidden="true"></a>)</span>
<span id="cb4-6"><a href="#cb4-6" aria-hidden="true"></a></span>
<span id="cb4-7"><a href="#cb4-7" aria-hidden="true"></a><span class="kw">biplot</span>(<span class="dt">x =</span> nyt_pca<span class="op">$</span>x[,<span class="dv">1</span><span class="op">:</span><span class="dv">2</span>], <span class="dt">y=</span> informative_loadings, <span class="dt">scale=</span><span class="dv">0</span>, <span class="dt">cex =</span> <span class="fl">0.5</span>)</span></code></pre></div>
<p><img src="data:image/png;base64,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" /><!-- --></p>
</div>
<div id="pve" class="section level2">
<h2>PVE</h2>
<p>The numbers below show that although the graphs based on PC1 and PC2 give some insight about document types, the first two PCs explain only small portion of the variability contained in the data.</p>
<div class="sourceCode" id="cb5"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb5-1"><a href="#cb5-1" aria-hidden="true"></a>pr.var=nyt_pca<span class="op">$</span>sdev<span class="op">^</span><span class="dv">2</span></span>
<span id="cb5-2"><a href="#cb5-2" aria-hidden="true"></a>pr.var</span></code></pre></div>
<pre><code>## [1] 1.988751e-02 1.862759e-02 1.724294e-02 1.537218e-02 1.440484e-02
## [6] 1.393311e-02 1.313569e-02 1.285084e-02 1.228344e-02 1.207883e-02
## [11] 1.191209e-02 1.178849e-02 1.169569e-02 1.159828e-02 1.140559e-02
## [16] 1.133632e-02 1.124601e-02 1.113017e-02 1.110012e-02 1.095067e-02
## [21] 1.086651e-02 1.072844e-02 1.060126e-02 1.058186e-02 1.056528e-02
## [26] 1.045440e-02 1.035742e-02 1.032494e-02 1.030728e-02 1.022799e-02
## [31] 1.010669e-02 1.004629e-02 1.001430e-02 9.977470e-03 9.945853e-03
## [36] 9.885270e-03 9.732177e-03 9.679161e-03 9.636696e-03 9.578010e-03
## [41] 9.535481e-03 9.466407e-03 9.437146e-03 9.399834e-03 9.307165e-03
## [46] 9.203604e-03 9.179709e-03 9.133426e-03 9.102611e-03 9.041575e-03
## [51] 8.998882e-03 8.925813e-03 8.884005e-03 8.848814e-03 8.799356e-03
## [56] 8.747191e-03 8.717555e-03 8.643816e-03 8.559859e-03 8.529536e-03
## [61] 8.469763e-03 8.467367e-03 8.393981e-03 8.376228e-03 8.251717e-03
## [66] 8.235627e-03 8.149720e-03 8.123239e-03 8.044627e-03 8.015822e-03
## [71] 7.982089e-03 7.888293e-03 7.810759e-03 7.795754e-03 7.774335e-03
## [76] 7.683500e-03 7.631978e-03 7.615316e-03 7.548048e-03 7.482993e-03
## [81] 7.419521e-03 7.366235e-03 7.340519e-03 7.288173e-03 7.269157e-03
## [86] 7.175837e-03 7.160695e-03 7.109025e-03 7.036169e-03 6.984169e-03
## [91] 6.892596e-03 6.805417e-03 6.670563e-03 6.566518e-03 6.466879e-03
## [96] 6.420743e-03 6.337557e-03 6.233789e-03 6.191162e-03 6.025576e-03
## [101] 5.283112e-03 3.582418e-32</code></pre>
<p>We can then compute the proportion of variance explained by each principal component</p>
<div class="sourceCode" id="cb7"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb7-1"><a href="#cb7-1" aria-hidden="true"></a>pve=pr.var<span class="op">/</span><span class="kw">sum</span>(pr.var)</span>
<span id="cb7-2"><a href="#cb7-2" aria-hidden="true"></a>pve</span></code></pre></div>
<pre><code>## [1] 2.093766e-02 1.961121e-02 1.815344e-02 1.618390e-02 1.516547e-02
## [6] 1.466884e-02 1.382931e-02 1.352942e-02 1.293206e-02 1.271664e-02
## [11] 1.254110e-02 1.241097e-02 1.231328e-02 1.221072e-02 1.200786e-02
## [16] 1.193492e-02 1.183985e-02 1.171789e-02 1.168626e-02 1.152892e-02
## [21] 1.144031e-02 1.129495e-02 1.116105e-02 1.114063e-02 1.112318e-02
## [26] 1.100644e-02 1.090434e-02 1.087014e-02 1.085155e-02 1.076808e-02
## [31] 1.064037e-02 1.057678e-02 1.054310e-02 1.050432e-02 1.047104e-02
## [36] 1.040726e-02 1.024608e-02 1.019026e-02 1.014556e-02 1.008377e-02
## [41] 1.003900e-02 9.966275e-03 9.935469e-03 9.896187e-03 9.798624e-03
## [46] 9.689594e-03 9.664439e-03 9.615711e-03 9.583269e-03 9.519011e-03
## [51] 9.474062e-03 9.397135e-03 9.353120e-03 9.316071e-03 9.264001e-03
## [56] 9.209081e-03 9.177880e-03 9.100248e-03 9.011858e-03 8.979933e-03
## [61] 8.917003e-03 8.914481e-03 8.837220e-03 8.818530e-03 8.687444e-03
## [66] 8.670504e-03 8.580061e-03 8.552182e-03 8.469419e-03 8.439092e-03
## [71] 8.403578e-03 8.304829e-03 8.223201e-03 8.207404e-03 8.184854e-03
## [76] 8.089223e-03 8.034980e-03 8.017438e-03 7.946618e-03 7.878128e-03
## [81] 7.811304e-03 7.755204e-03 7.728131e-03 7.673021e-03 7.653000e-03
## [86] 7.554753e-03 7.538811e-03 7.484412e-03 7.407710e-03 7.352964e-03
## [91] 7.256556e-03 7.164773e-03 7.022798e-03 6.913259e-03 6.808359e-03
## [96] 6.759786e-03 6.672208e-03 6.562961e-03 6.518083e-03 6.343753e-03
## [101] 5.562084e-03 3.771586e-32</code></pre>
<p>We can plot the PVE explained by each component, as well as the cumulative PVE, as follows:</p>
<div class="sourceCode" id="cb9"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb9-1"><a href="#cb9-1" aria-hidden="true"></a><span class="kw">plot</span>(pve, </span>
<span id="cb9-2"><a href="#cb9-2" aria-hidden="true"></a> <span class="dt">xlab=</span><span class="st">"Principal Component"</span>, </span>
<span id="cb9-3"><a href="#cb9-3" aria-hidden="true"></a> <span class="dt">ylab=</span><span class="st">"Proportion of Variance Explained"</span>, </span>
<span id="cb9-4"><a href="#cb9-4" aria-hidden="true"></a> <span class="dt">ylim=</span><span class="kw">c</span>(<span class="dv">0</span>,<span class="dv">1</span>),</span>
<span id="cb9-5"><a href="#cb9-5" aria-hidden="true"></a> <span class="dt">type=</span><span class="st">'b'</span>)</span></code></pre></div>
<p><img 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" /><!-- --></p>
<div class="sourceCode" id="cb10"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb10-1"><a href="#cb10-1" aria-hidden="true"></a><span class="kw">plot</span>(<span class="kw">cumsum</span>(pve), </span>
<span id="cb10-2"><a href="#cb10-2" aria-hidden="true"></a> <span class="dt">xlab=</span><span class="st">"Principal Component"</span>, </span>
<span id="cb10-3"><a href="#cb10-3" aria-hidden="true"></a> <span class="dt">ylab=</span><span class="st">"Cumulative Proportion of Variance Explained"</span>, </span>
<span id="cb10-4"><a href="#cb10-4" aria-hidden="true"></a> <span class="dt">ylim=</span><span class="kw">c</span>(<span class="dv">0</span>,<span class="dv">1</span>),</span>
<span id="cb10-5"><a href="#cb10-5" aria-hidden="true"></a> <span class="dt">type=</span><span class="st">'b'</span>)</span></code></pre></div>
<p><img 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" /><!-- --></p>
</div>
</div>
<div id="recommended-exercise-2" class="section level1">
<h1>Recommended exercise 2</h1>
<p>The answer is on page 388 of the book, with the explanation around Equation (10.12)</p>
</div>
<div id="recommended-exercise-3" class="section level1">
<h1>Recommended exercise 3</h1>
<div id="perform-k-means" class="section level2">
<h2>Perform k-means</h2>
<div class="sourceCode" id="cb11"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb11-1"><a href="#cb11-1" aria-hidden="true"></a>km.out=<span class="kw">kmeans</span>(nyt_data[,<span class="op">-</span><span class="dv">1</span>],<span class="dv">2</span>,<span class="dt">nstart=</span><span class="dv">20</span>)</span></code></pre></div>
</div>
<div id="cluster-assignments" class="section level2">
<h2>Cluster assignments</h2>
<div class="sourceCode" id="cb12"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb12-1"><a href="#cb12-1" aria-hidden="true"></a>km.out<span class="op">$</span>cluster</span></code></pre></div>
<pre><code>## [1] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2 2 2 2 2 2 2 1 1
## [36] 1 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1
## [71] 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1</code></pre>
</div>
<div id="plot-the-data" class="section level2">
<h2>Plot the data</h2>
<p>To plot the data we need to use the PCA projections. Below we will use the plot based on PCA with true labels (A for art and M for music) and compare with the plot that color the points according to the k-means clustering.</p>
<div class="sourceCode" id="cb14"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb14-1"><a href="#cb14-1" aria-hidden="true"></a><span class="co"># PCA with true labels</span></span>
<span id="cb14-2"><a href="#cb14-2" aria-hidden="true"></a><span class="kw">plot</span>(nyt_pca<span class="op">$</span>x[,<span class="dv">1</span><span class="op">:</span><span class="dv">2</span>],<span class="dt">type=</span><span class="st">"n"</span>)</span>
<span id="cb14-3"><a href="#cb14-3" aria-hidden="true"></a><span class="kw">points</span>(nyt_pca<span class="op">$</span>x[nyt_data[,<span class="st">"class.labels"</span>]<span class="op">==</span><span class="st">"art"</span>,<span class="dv">1</span><span class="op">:</span><span class="dv">2</span>],<span class="dt">pch=</span><span class="st">"A"</span>)</span>
<span id="cb14-4"><a href="#cb14-4" aria-hidden="true"></a><span class="kw">points</span>(nyt_pca<span class="op">$</span>x[nyt_data[,<span class="st">"class.labels"</span>]<span class="op">==</span><span class="st">"music"</span>,<span class="dv">1</span><span class="op">:</span><span class="dv">2</span>],<span class="dt">pch=</span><span class="st">"M"</span>)</span></code></pre></div>
<p><img 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" /><!-- --></p>
<div class="sourceCode" id="cb15"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb15-1"><a href="#cb15-1" aria-hidden="true"></a><span class="co"># PCA with true labels but colored by k-means clustering</span></span>
<span id="cb15-2"><a href="#cb15-2" aria-hidden="true"></a><span class="kw">plot</span>(nyt_pca<span class="op">$</span>x[,<span class="dv">1</span><span class="op">:</span><span class="dv">2</span>],<span class="dt">type=</span><span class="st">"n"</span>)</span>
<span id="cb15-3"><a href="#cb15-3" aria-hidden="true"></a><span class="kw">points</span>(nyt_pca<span class="op">$</span>x[nyt_data[,<span class="st">"class.labels"</span>]<span class="op">==</span><span class="st">"art"</span>,<span class="dv">1</span><span class="op">:</span><span class="dv">2</span>],<span class="dt">pch=</span><span class="st">"A"</span>,<span class="dt">col=</span>(km.out<span class="op">$</span>cluster<span class="op">+</span><span class="dv">1</span>)[nyt_data[,<span class="st">"class.labels"</span>]<span class="op">==</span><span class="st">"art"</span>])</span>
<span id="cb15-4"><a href="#cb15-4" aria-hidden="true"></a><span class="kw">points</span>(nyt_pca<span class="op">$</span>x[nyt_data[,<span class="st">"class.labels"</span>]<span class="op">==</span><span class="st">"music"</span>,<span class="dv">1</span><span class="op">:</span><span class="dv">2</span>],<span class="dt">pch=</span><span class="st">"M"</span>,<span class="dt">col=</span>(km.out<span class="op">$</span>cluster<span class="op">+</span><span class="dv">1</span>)[nyt_data[,<span class="st">"class.labels"</span>]<span class="op">==</span><span class="st">"music"</span>])</span></code></pre></div>
<p><img 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" /><!-- --></p>
</div>
</div>
<div id="recommended-exercise-4" class="section level1">
<h1>Recommended exercise 4</h1>
<div id="perform-hierarchical-clustering" class="section level2">
<h2>Perform hierarchical clustering</h2>
<p>I will use euclidean distance and complete linkage</p>
<div class="sourceCode" id="cb16"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb16-1"><a href="#cb16-1" aria-hidden="true"></a>hc.complete=<span class="kw">hclust</span>(<span class="kw">dist</span>(nyt_data[,<span class="op">-</span><span class="dv">1</span>]), <span class="dt">method=</span><span class="st">"complete"</span>)</span>
<span id="cb16-2"><a href="#cb16-2" aria-hidden="true"></a><span class="kw">str</span>(hc.complete)</span></code></pre></div>
<pre><code>## List of 7
## $ merge : int [1:101, 1:2] -46 -84 -68 -18 -65 -23 -71 -64 -95 -37 ...
## $ height : num [1:101] 1.1 1.22 1.22 1.23 1.24 ...
## $ order : int [1:102] 94 24 93 16 46 55 59 87 39 90 ...
## $ labels : NULL
## $ method : chr "complete"
## $ call : language hclust(d = dist(nyt_data[, -1]), method = "complete")
## $ dist.method: chr "euclidean"
## - attr(*, "class")= chr "hclust"</code></pre>
</div>
<div id="plot-dendograms" class="section level2">
<h2>Plot dendograms</h2>
<div class="sourceCode" id="cb18"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb18-1"><a href="#cb18-1" aria-hidden="true"></a><span class="kw">plot</span>(hc.complete,<span class="dt">main=</span><span class="st">"Complete Linkage"</span>, <span class="dt">labels=</span><span class="kw">as.character</span>(nyt_data[,<span class="dv">1</span>]), <span class="dt">xlab=</span><span class="st">""</span>, <span class="dt">sub=</span><span class="st">""</span>, <span class="dt">cex=</span>.<span class="dv">9</span>)</span></code></pre></div>
<p><img 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" /><!-- --></p>
</div>
<div id="cluster-assignment" class="section level2">
<h2>Cluster assignment</h2>
<div class="sourceCode" id="cb19"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb19-1"><a href="#cb19-1" aria-hidden="true"></a>hc.clusters=<span class="kw">cutree</span>(hc.complete, <span class="dv">2</span>)</span></code></pre></div>
</div>
<div id="plot-the-data-1" class="section level2">
<h2>Plot the data</h2>
<p>Based on the cluster assignment above and the plots below we see that hierarchical clustering performs worse than k-means for the same number of clusters (K=2)</p>
<div class="sourceCode" id="cb20"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb20-1"><a href="#cb20-1" aria-hidden="true"></a><span class="co"># PCA with true labels</span></span>
<span id="cb20-2"><a href="#cb20-2" aria-hidden="true"></a><span class="kw">plot</span>(nyt_pca<span class="op">$</span>x[,<span class="dv">1</span><span class="op">:</span><span class="dv">2</span>],<span class="dt">type=</span><span class="st">"n"</span>)</span>
<span id="cb20-3"><a href="#cb20-3" aria-hidden="true"></a><span class="kw">points</span>(nyt_pca<span class="op">$</span>x[nyt_data[,<span class="st">"class.labels"</span>]<span class="op">==</span><span class="st">"art"</span>,<span class="dv">1</span><span class="op">:</span><span class="dv">2</span>],<span class="dt">pch=</span><span class="st">"A"</span>)</span>
<span id="cb20-4"><a href="#cb20-4" aria-hidden="true"></a><span class="kw">points</span>(nyt_pca<span class="op">$</span>x[nyt_data[,<span class="st">"class.labels"</span>]<span class="op">==</span><span class="st">"music"</span>,<span class="dv">1</span><span class="op">:</span><span class="dv">2</span>],<span class="dt">pch=</span><span class="st">"M"</span>)</span></code></pre></div>
<p><img 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" /><!-- --></p>
<div class="sourceCode" id="cb21"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb21-1"><a href="#cb21-1" aria-hidden="true"></a><span class="co"># PCA with true labels but colored by k-means clustering</span></span>
<span id="cb21-2"><a href="#cb21-2" aria-hidden="true"></a><span class="kw">plot</span>(nyt_pca<span class="op">$</span>x[,<span class="dv">1</span><span class="op">:</span><span class="dv">2</span>],<span class="dt">type=</span><span class="st">"n"</span>)</span>
<span id="cb21-3"><a href="#cb21-3" aria-hidden="true"></a><span class="kw">points</span>(nyt_pca<span class="op">$</span>x[nyt_data[,<span class="st">"class.labels"</span>]<span class="op">==</span><span class="st">"art"</span>,<span class="dv">1</span><span class="op">:</span><span class="dv">2</span>],<span class="dt">pch=</span><span class="st">"A"</span>,<span class="dt">col=</span>(hc.clusters<span class="op">+</span><span class="dv">1</span>)[nyt_data[,<span class="st">"class.labels"</span>]<span class="op">==</span><span class="st">"art"</span>])</span>
<span id="cb21-4"><a href="#cb21-4" aria-hidden="true"></a><span class="kw">points</span>(nyt_pca<span class="op">$</span>x[nyt_data[,<span class="st">"class.labels"</span>]<span class="op">==</span><span class="st">"music"</span>,<span class="dv">1</span><span class="op">:</span><span class="dv">2</span>],<span class="dt">pch=</span><span class="st">"M"</span>,<span class="dt">col=</span>(hc.clusters<span class="op">+</span><span class="dv">1</span>)[nyt_data[,<span class="st">"class.labels"</span>]<span class="op">==</span><span class="st">"music"</span>])</span></code></pre></div>
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" 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