diff --git a/Chapter1_Introduction/Ch1_Introduction_TFP.ipynb b/Chapter1_Introduction/Ch1_Introduction_TFP.ipynb index 1a6db61f..daaa24ea 100644 --- a/Chapter1_Introduction/Ch1_Introduction_TFP.ipynb +++ b/Chapter1_Introduction/Ch1_Introduction_TFP.ipynb @@ -3,7 +3,7 @@ "nbformat_minor": 0, "metadata": { "colab": { - "name": "Ch1_Introduction_TFP.ipynb", + "name": "working Ch1_Introduction_TFP.ipynb", "version": "0.3.2", "provenance": [], "collapsed_sections": [] @@ -134,7 +134,7 @@ "# Eager Execution\n", "#@markdown Check the box below if you want to use [Eager Execution](https://www.tensorflow.org/guide/eager)\n", "#@markdown Eager execution provides An intuitive interface, Easier debugging, and a control flow comparable to Numpy. You can read more about it on the [Google AI Blog](https://ai.googleblog.com/2017/10/eager-execution-imperative-define-by.html)\n", - "use_tf_eager = True #@param {type:\"boolean\"}\n", + "use_tf_eager = False #@param {type:\"boolean\"}\n", "\n", "# Use try/except so we can easily re-execute the whole notebook.\n", "if use_tf_eager:\n", @@ -446,8 +446,6 @@ "cell_type": "code", "source": [ "# Execute graph\n", - "\n", - "\n", "[num_trials_,\n", "probs_of_heads_,\n", "observed_probs_heads_,\n", @@ -476,7 +474,7 @@ "metadata": { "colab_type": "code", "id": "4fdWiFUT6H-A", - "outputId": "830222bf-016e-4666-b9a7-afc6eb790080", + "outputId": "a232d7e8-6825-4e41-f363-1f6c07b176e7", "colab": { "base_uri": "https://localhost:8080/", "height": 697 @@ -505,12 +503,12 @@ " fontsize=14)\n", "plt.tight_layout()" ], - "execution_count": 7, + "execution_count": 4, "outputs": [ { "output_type": "display_data", "data": { - "image/png": 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MgAACAASURB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\nnOqe9TGGpojQTsVELW+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bR4MG3VK835CQuuratXuFYr377tG6++7R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\noNtrR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0cOVo8evdSpUxd16dJN7u4eVzweAAAAV7Zi6wmb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\ntuxrPfPMSxo6dLgkacqUi1RYWKhVq1aqqKhQSUnJKisr1bPPPq2zz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R5dffVlfjH8/e+P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5uVSWna2NsrJzLM8AgOtFLAe4ddwqsRwSdAAAQKmLjk9V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\naqqaCrqm0aPHqk2bNvrkkw/1449rtXr1SknSeed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scF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\nU2U06jmMpJV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F00adKzc3t+SJr4ro0eNWubm5acOGuJLh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\na1XHzVqgM5csB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2a9+OJv1aVLV/XseYd69OipiIhOdkMNnzp1UpL0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Cj18M3ri6OMjd1fEKrW9MjWBPS5mr88mZCo8+r9rVqlzlLAC4+ZKS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\nNW16j+65p4WaN2+hmjVrXfEZcesjQQcAAFQIuWa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" ] @@ -590,10 +588,10 @@ "metadata": { "colab_type": "code", "id": "MwjluXPenvAy", - "outputId": "124e8a3b-0607-47b3-c556-6aac2ae68159", + "outputId": "fc433206-8324-4d63-fafc-4f49127182eb", "colab": { "base_uri": "https://localhost:8080/", - "height": 405 + "height": 404 } }, "cell_type": "code", @@ -615,14 +613,14 @@ "plt.ylabel(r\"Posterior, $P(A|X)$, with $P(A) = p$\")\n", "plt.title(r\"Are there bugs in my code?\");" ], - "execution_count": 0, + "execution_count": 5, "outputs": [ { "output_type": "display_data", "data": { - "image/png": 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armk39pl+Ughh0kAp/RzcNMU8AIgx/niM8fkxxqnaNUqSJEmZMUySJEmSMpCGED+ePryU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r689rTeVCuejwQAAAAAAAiTVrx6o5EvlGP56j3jc9b1dlTy7vMGc8aarhZ1BgAAAAAA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\nN5TXl6R+6eS13JUR8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AAACZiDAJAAAAACDTNHXoRFRbugPadjiooXBy\n5yDZDGlGiUvzK92aVe6Sy26zuFIAAAAAI40wCQAAAADGsaOBqLZ2B7WlO6Befyzp60wqcGhhlUdz\nKtzKcxIgAQAAANmEMAkAAAAAxhl/JK43D58MkPYPRJK+TqnXrkVVHs2vdKvUy+MlAAAAkK3Scrd/\n1VVXaeHChae/XrBgQTqmAQAAAAAMUzRuqrU3pK09AbX2hhRL7hgk5ToMza/0aGGVW3UTHDIMzkEC\nAAAAsp1hmmaSjxBIRG/v4GiXAACWKyvLl0SPA5C96HPIdHHT1IGBiLZ0B/Tm4aAC0eQe/3Js0uwy\ntxZWuTW9xCW7jQApG9DjAGQzehyAbHaqx40k9iEAAAAAgCxzeCiqLT0Bbe0OqD8YT+oahqRzip1a\nUOXWnHK33DmcgwQAAACMV4RJAAAAAJAFToRiau45eQ7SocFo0tepzsvRgiqPFlS6VeC2W1ghAAAA\ngExFmAQAAAAAGSoSM9XSG9TmroB2Hw0r2T3MC1w2LajyaGGlW1X5DktrBAAAAJD5CJMAAAAAIIOY\npqkDxyPa3BVQ8+Gggkmeg+SyG5pTcfIcpKlFTtkMzkECAAAAcGaESQAAAACQAY4FotrSfXIVUl8g\nltQ1bIY0o8SlhVVuzSpzy2EnQAIAAADw/giTAAAAAGCMCkbj2n44qM3dAb3dH0n6OvUFDi2ocmte\nhUd5TpuFFQIAAAAYDwiTAAAAAGAMiZum3joW1uaugHYcCSoST+46JR67Fla5taDSo7JcHv0AAAAA\nJM/yJ4r+/n41NjZq165d6uvr0+DgoCZMmKCSkhKdd955WrJkiYqKiqyeFgAAAAAy2mFfVJu7AtrS\nHdDxUHIJkifH0PxKjxZVuTWxwCGDc5AAAAAAWMCSMCkajeq5557T7373OzU3N8s0TZnmew+BNQxD\nhmFo/vz5uu666/SBD3xAOTm8IQcAAABgfPKF49p2OKAtXUEdPJHcNnY2Q5pZ6tKiKo/OK3Mpx0aA\nBAAAAMBaKSc5Tz31lO6//34dOXJEpmmqtLRU8+bN09SpU1VYWKi8vDwNDQ1pYGBAe/fuVXNzs7Zs\n2aKtW7fqO9/5jj7/+c/ryiuvtOLfAgAAAABjXixualdfSJu7A2rtDSn23vfwhqU2P0eLqj2aX8k5\nSAAAAADSK6Uw6ZprrlFLS4tKSkp0880366qrrtK0adPed9yePXv05JNP6plnntHdd9+tRx55RI89\n9lgqpQAAAADAmGWapjoHT25jt7UnIF8kuQQp32nTwiq3FlV7VJXnsLhKAAAAADgzwzzTfnTDtGLF\nCn3qU5/StddeK4cj8QeZSCSiRx99VA888IA2bNiQbBkZobd3cLRLAADLlZXlS6LHAche9Dmk6kQo\npi3dQW3uDqhnKJrUNXJs0uwytxZXezSt2Ck729jBIvQ4ANmMHgcgm53qcSMppTApGAzK7XanXIRV\n1xnL+MUFIBtxcw4g29HnkIxIzFRLb1CbuwLafTSsZB+4JhU6tLjKo7kVbnkcbGMH69HjAGQzehyA\nbDYaYVJK29xZFQBle5AEAAAAILuZpqkDxyPa3BVQ8+GggtHkIqRit10Lq91aVOVRqTflI24BAAAA\nwBI8nQAAAABAko4HY9rcHdCmroD6/LGkruGyG5pbcTJAmlzkkM1gGzsAAAAAY8uIh0mDg4Nqa2vT\nrl27dNNNN4309AAAAACQkmjc1M7ekDZ1+pPexs6QNK3YqUXVHjWUu+W0EyABAAAAGLvSGiZ1dHSo\nra3tdHjU1tam7u7u0z8nTAIAAACQKToHI9rUGdDWnoD8keS2savItWtRlUcLqjwqdNstrhAAAAAA\n0sOSMCkcDmv37t2ng6O2tjbt3r1bPp/vXZ8zzZMPXC6XS5MmTbJiagAAAABIG184rq09J7ex6xqM\nJnUNr8PQ/EqPFlV5VDchRwbb2AEAAADIMCmFSV/4whfU1tam9vZ2xWIn9wc/FRhJkmEYqq2tVX9/\nv3w+n37yk5/onHPOUV1dnWw2W2qVAwAAAEAaxE1Tu4+GtanTr529IcWSWIRkM6SZpS4trvZoZqlL\nOTYCJAAAAACZK6Uw6dlnn5VhGDJNUwUFBTr33HM1ffp0TZ8+Xeeee66mTZsmr9er6667Ttu2bdOq\nVausqhsAAAAALNXri6qpK6Cm7oBOhOJJXaM6P0dLqj2aX+lRnpMX6AAAAABkB0u2uausrNTXv/51\nXXjhhVZcDgAAAABGRDAa15uHg2rqCmj/QCSpa3gdhhZWerS4xqOafIfFFQIAAADA6EspTPrDH/6g\nb3zjG2pubtZtt92miy66SPfcc4/q6+utqg8AAAAALGWapvYNRNTUFdCbh4MKJ7GPnSFpeolTS2q8\nmlXGNnYAAAAAsltKYVJDQ4PWrVunp59+Wt/73ve0fv16bdy4UTfeeKPuuOMO5eXlWVUnAAAAAKRk\nIBjT5q6AmroC6gvEkrpGqdeuJdUeLaryqMBtt7hCAAAAABibLNnm7oorrtC//Mu/6IEHHtDatWu1\ndu1aPf300/rc5z6nq6++2oopAAAAACBhkZipnb1BbeoKaM/RsBJfgyQ57YbmVbi1uNqjyYUOGQar\nkAAAAACML4Zpmsk8T51VZ2en7rvvPr3wwgsyDEMzZ87U8ePH1dXVpV27dlk5VUbp7R0c7RIAwHJl\nZfmS6HEAshd9LjOZpqnOwag2dQW0tTugQDS5R54phQ4trvFobrlbrhybxVUCo48eByCb0eMAZLNT\nPW4kWbIy6Z1qamr0wx/+UI2NjfrGN76h1tZWSZJhGOrs7FRNTY3VUwIAAACAhsJxbe0JaFNnQN1D\n0aSuUeCyaXG1R4urPSr1Wv64BAAAAAAZyfKVSe8Uj8e1bt06/ehHP1J/f7+cTqc+8YlP6Lbbbht3\n5ynxFgSAbMSbXgCyHX1u7Iubpt46FlZjZ0AtR4KKJfF0Yzek2eVuLan26NwSp2xsY4dxgh4HIJvR\n4wBks9FYmZTWMOmUwcFB/eAHP9C6desUi8VUXFysz372s7r22mvTPfWYwS8uANmIm3MA2Y4+N3YN\nBGNq6gqosdOv/mA8qWvU5udocbVHC6o88jrYxg7jDz0OQDajxwHIZlkbJp2yd+9efetb39LGjRtl\nGMa4OkOJX1wAshE35wCyHX1ubInFTbX2hdTYGVBbX0jJPMh4HYYWVnm0pNqj6nyH5TUCmYQeByCb\n0eMAZLOsODPp/3LOOefoF7/4hV566SX953/+50hODQAAACBD9fqiauwKaHNXQIPhxFchGZJmlLq0\npNqj88pcyrGxjR0AAAAAJGJUTpRdtWqVLrzwwtGYGgAAAEAGiMRMbT8SVGOnX2/3R5K6RpnXriXV\nHi2s8qjAbbe4QgAAAAAYP1IKk/7rv/5Ln/zkJ5Wfn/iSKofj5JYSg4OD+tnPfqZ/+7d/S6UUAAAA\nAFmgczCixs6AtnQHFIwmvpGd025oXoVbS2o8mlTgkGGwCgkAAAAAUpXSmUkzZ87UhAkTdOONN+qj\nH/2oqqurhz22q6tLjz/+uH77299qcHBQra2tyZaREdifFUA2Yg9qANmOPjcygtG4tvWcXIXUcSKa\n1DUmFjh0fo1HcyvccufYLK4QyE70OADZjB4HIJtl3JlJv//973Xvvffqxz/+sX76059qyZIlWrZs\nmebNm6epU6eqsLBQOTk5ikajGhgY0N69e9Xc3KzXXntNmzdvVjwe15w5c/TVr37Vqn8PAAAAgAxg\nmqYOHD+5CunNnqDC8cTfcfM6DC2s8mhptUdV+Y40VAkAAAAAkFJcmXTKM888o4cfflgtLS3v2UbC\n6XQqHA6f/vrUdPPmzdNNN92kyy+/PNXpMwJvQQDIRrzpBSDb0eesNxSOa3NXQI1dfh3xxZK6xrRi\np5bWeDS7zC2HnW3sgGTR4wBkM3ocgGyWcSuTTlmzZo3WrFmjHTt26MUXX9SmTZvU1tamQCCgUCgk\nSfJ4PJo1a5aWLl2q1atXa+bMmVZMDQAAAGCMi5um3joWVmNnQC1Hgool8TrbBKdNi2tOrkIq8Vry\nGAMAAAAAGCZLn8IaGhrU0NBw+utAIKDBwUFNmDBBbrfbyqkAAAAAjHH9wZiaOgPa1OVXfzCe8Hib\nIc0sdWlpjUczSlyy21iFBAAAAACjwZIwKRqN6sCBAzJNUzU1NfJ6vZJOrkbyeDxWTAEAAAAgA8Ti\nplr7QmrsDKitL6Rk9tQu8di1tMajRVUeFbjtltcIAAAAAEhMymHSr371K/34xz+Wz+eTJNntdq1c\nuVJf+tKXNHny5JQLBAAAADD29fmjeqMzoKaugIbCia9CshvSnAq3ltZ4NLXIKZvBKiQAAAAAGCtS\nCpP+93//V9/+9rff9b1oNKqXX35ZW7du1W9+8xude+65KRUIAAAAYGyKxk3t7A3p9UN+vXUsnNQ1\nKvNydH6NRwsqPcp12iyuEAAAAABghZTCpN/+9reSpCuvvFK33nqrPB6P9u3bp4ceekibNm3S3Xff\nrSeeeMKSQgEAAACMDUffsQppMIlVSE67ofmVbp1f41HdBIcMViEBAAAAwJiWUpjU1tamSZMm6dvf\n/vbpB8Dq6mqtWLFCn/zkJ7VhwwY1Nzdr3rx5lhQLAAAAYHTETq1C6vRrz9HkViHVFzi0tMajuRVu\nuXNYhQQAAAAAmSKlMMnn8+niiy8+45uEd9xxh1599VU1NTURJgEAAAAZ6lggpsZOvzZ1BnQiiVVI\nXoehRVUeLanxqCrPkYYKAQAAAADpllKYJElOp/OM3582bZokqaenJ9UpAAAAAIygWNzUrr6TZyHt\nPhqWmcQ1phU7tbTGo9llbjnsbGMHAAAAAJks5TDpbPLy8iRJgUAgXVMAAAAAsFB/8B+rkI6HEl+F\nlOe0aUm1R0trPCr1pu1RAwAAAAAwwlJ+wtu1a5cef/xxzZgxQ9OmTXvPSiXTTOY9RgAAAAAjIW6a\nausL6fVDAe3qCyW9CmlZrVezylzKsbEKCQAAAACyTcph0u7du/XVr35VkmS321VfX6/p06dr+vTp\nKRcHAAAAID2OB2Nq7AyoscuvgWDiq5ByHYYWV3t1fo1HZbmsQgIAAACAbGaYKSwdeuKJJ9Ta2qqd\nO3eqra3tXVvaGYZx+v91dXWaPXu2Zs2adfq/U9vgjRe9vYOjXQIAWK6sLF8SPQ5A9sq2Phc3Te0+\nGtbrh/za1RdSPIkngalFDp1f49WcCjerkIAMl209DgDeiR4HIJud6nEjKaUw6Z1M09S+ffvU2tr6\nroDpxIkT/5jM+MfD5sSJE/X8889bMbUkaWBgQD/+8Y/10ksvqbe3V4WFhbrooov02c9+VuXl5e87\nPhwO66GHHtLTTz+t7u5uFRUV6eKLL9bnPvc5FRcXp1wfv7gAZCNuzgFku2zpcydCMW3qDOiNTr/6\nk1iF5HUYWlzl0dJarypYhQRkjWzpcQBwJvQ4ANkso8Oks+no6NDOnTtPB0y7du3SsWPHZBiGdu3a\nZckcwWBQ11xzjfbv36/rr79es2fPVnt7u37xi1+ouLhYTzzxhAoKCs46PhqN6pZbblFTU5Ouv/56\nzZo1Sy0tLXrkkUc0efJkPfnkk+85CypR/OICkI24OQeQ7TK5z8VNU28dC+uNQ3619Ca3CmlKoUPn\n13o1p9wth51VSEC2yeQeBwDvhx4HIJuNRpiU9tcK6+rqVFdXp8suu+z093p6erRz507L5nj44Ye1\nZ88efe1rX9P1119/+vszZszQnXfeqZ/+9Ke65557zjp+3bp1ev3113XffffpIx/5iCTpyiuvVFFR\nkR5//HFt375dixYtsqxeAAAAIF0GwzE1dQb0RmdARwOxhMd7cgwtqvbo/BqvKvNYhQQAAAAAGIGV\nSSPhgx/8oHp6etTY2PiuFUSmaeriiy9WOBzWa6+99q5t9v55fDwe13PPPXfWz6SKtyAAZCPe9AKQ\n7TKlz5mmqX39EW085FfLkaBiSdzh1xc4tKzWq3kVrEICxotM6XEAkAx6HIBslpUrk9JtaGhI+/bt\n06JFi96zFZ1hGJozZ45eeOEFHTp0SHV1de8Z39PTo3379un6668/HSSFQiE5nc60BUsAAACAFYLR\nuDZ3B/RaR0CHfdGEx7tzDC2s8mhZjUdV+Y40VAgAAAAAyAYZHyZ1dnZKkiorK8/486qqKkknz246\nU5i0b98+SdLEiRP18MMP6+GHH1ZnZ6ecTqdWrlypL3/5y6qvr0+5ztFICgFgpNDjAGS7sdbnDvaH\n9NJbA3rtwKBC0cSXIU0pcemScwp0fn2+XDm2NFQIIJOMtR4HAFaixwGANTI+TPL5fJIkt9t9xp97\nPJ53fe6fDQwMSJKefPJJRSIR3X777SopKdHrr7+uRx55RM3NzXrqqadUXl6ehuoBAACA4YnE4mrq\nGNJLbx3XW73BhMe7c2y6YFK+LplWoPoiVxoqBAAAAABkq4wPk1IViUQkSUePHtUzzzyjoqIiSdKq\nVatUWlqq+++/X2vXrtWXv/zllOZhf1YA2Yg9qAFku7HQ544FYnqj06/GzoCGwvGEx9fm52hZrVfz\nK90nVyFFw+rtDaehUgCZZiz0OABIF3ocgGzGmUlJyMvLkyQFAoEz/tzv97/rc/8sNzdXknTppZee\nDpJOufrqq3X//fersbHRqnIBAACA9xU3Te05GtZrh/xq7Q0p0Y3snHZDCyrdOr/Wq7oJnIUEAAAA\nAEhNxodJtbW1MgxDPT09Z/x5V1eXJJ313KOamhpJUiwWe8/PioqKZBjGWbfIAwAAAKzkC8fV1BXQ\na4f8Ohp47/3p+6nIzdEFdR4tqvLIzVlIAAAAAACLWB4mbd++XX/+85/V1dWlwcFBmeaZ36M0DEMP\nP/xwyvN5vV5Nnz5dra2tCoVCcrn+sf97LBbTtm3bVFVVperq6jOOnzp1qvLz87Vr1673/Ky7u1um\naaqioiLlOgEAAICzOXg8otcO+bWtJ6BogjvZ2Qypodyt5bVeTSlyyDCM9BQJAAAAABi3LA2TXnzx\nRX32s59VPB4/a4h0ipUPuVdffbXuvfderVu3Tp/4xCdOf//pp5/W0aNHddddd53+3ttvvy2n06m6\nujpJktPp1Ic//GH9/ve/11//+lddeumlpz/7yCOPSNK7vgcAAABYIRwz1dxzchVSx4lowuMLXDYt\nq/VqaY1HE1z2NFQIAAAAAMBJhvl+qU8CPvrRj6q1tVXXXHONVq5cqQkTJshmO/v2GkuWLLFk3kgk\nouuvv147d+7UDTfcoNmzZ2vv3r1au3at6uvr9dhjj8nj8UiSpk+frsmTJ+u55547Pf7YsWO69tpr\ndfjwYd16662qqanRG2+8oT/96U+aOXOm1q1bJ7fbnVKNHPYHIBtxoCmAbJeOPtfri+r1Q35t6goo\nEE38VnxasVPL67w6r9Qlu41VSACSx70cgGxGjwOQzU71uJFk6cqkt99+W5dddpn+3//7f1Ze9n05\nHA798pe/1I9+9CO98MILeuSRR1RcXKxrrrlGd9111+kg6WyKi4v12GOP6fvf/74effRRDQwMqKys\nTDfffLPuvPPOlIMkAAAAjG+xuKldfSFtPOTXnqPhhMe7cwwtqfZoWa1X5bkZf+wpAAAAACDDWLoy\nacmSJbrlllt06623WnXJrMFbEACyEW96Ach2qfa5wVBMjZ0Bvd7p10AwwcOQJNXk52h5nVfzKt1y\n2c++4h8AksG9HIBsRo8DkM0yfmXS/PnzdejQISsvCQAAAGQU0zS1fyCijR1+7TgSVCzBV7dybNK8\nCrcuqPNq4gSHpWeNAgAAAACQDEvDpC9+8Yu68cYbdcUVV2jRokVWXhoAAAAY00LRuLZ0B7XxkF89\nQ9GExxd77FpW69GSaq/ynKxCAgAAAACMHSmFSU899dR7vvexj31Mt9xyi1auXKnzzjtPEyZMOOv4\n66+/PpXpAQAAgFHX549qQ4dfTV0BBaOJLUMyJM0odWl5rVfTS52ysQoJAAAAADAGpXRm0owZM864\n7capS55tSw7TNGUYhnbt2pXs1BmH/VkBZCP2oAaQ7c7W5+Kmqd1Hw9pw0Ke2o+GEr5vrMLSkxqtl\ntR6VeCzdLAAAho17OQDZjB4HIJtl3JlJd955J3u4AwAAYNwIRuNq6gpoQ4dfff5YwuPrCxxaXufV\nnHK3HHbuowEAAAAAmSGlMOmuu+6yqg4AAABgzDrsi2pjh1+buwIKxRJb2O+0GVpQ5dayWq9qJzjS\nVCEAAAAAAOlj6Z4aN910kz7+8Y/rgx/84P/5ua985Stqbm7Ws88+a+X0AAAAgGXipqltnUP6y+7j\naunxJzy+zGvX8jqvFlV55HHY0lAhAAAAAAAjw9IwadOmTbrkkkve93PxeFwdHR1WTg0AAABYIhCJ\na1NXQBs7/DoaSGwrO0PSeWUurajzalqxky2hAQAAAABZIeUw6cUXX9RLL710+uv/+Z//0Z49e876\n+f7+fm3YsEGFhYWpTg0AAABYpmcoog0H/drSHVQ4nthWdp4cQ0trvFpe51Gxx9L3tQAAAAAAGHUp\nP+mGw2E1NzfrwIEDMgxDO3bs0I4dO/7PMQ6HQ5/5zGdSnRoAAABISdw0tbM3pA0dfu09Fk54fFVe\njlbUebWgyiOn5NggRAAAIABJREFUnVVIAAAAAIDsZJimmdhrl2dx/PhxLV269H3PTHK5XKqvrx93\nK5N6ewdHuwQAsFxZWb4kehyAzOOPxPVGp1+vdfjVH4wnNNZmSLPLXFpRl6spRQ62sgOQsbiXA5DN\n6HEAstmpHjeSLNuDo6CgQFdddZVWrVqlJUuWWHVZAAAAwDJdgxG9etCvrT0BRRPLkOR1GFpW49Wy\nOq+K3Pb0FAgAAAAAwBhk6Ybu3/rWt6y8HAAAAJCyWNxUS29IGw76tG8gkvD4+iKXzq92aX6FRw62\nsgMAAAAAjEMphUlPPfWUGhoaNHXq1NNfJ+IjH/lIKtMDAAAAZzUU/sdWdsdDiW9lN6fcrQ/PKdW0\nUrf6+obSVCUAAAAAAGNfSmHS3XffrS9/+cunw6S77757WHvGm6YpwzAIkwAAAGC5Qyci2tDh17Yk\ntrLLc9q0rMajZbVeFbjtKivzpKdIAAAAAAAySEph0qc//WnNnz//9Nd33nknBxADAABgxJ3ayu6V\ndp8OHE98K7uJExxaMdGruRVu5di4nwUAAAAA4J0M0zTN0S5iPOjtHRztEgDAcmVl+ZLocQBGTyAS\n1xudAW3s8Kk/mNgyJLshza1wa8VEr+oLnGf8DH0OQDajxwHIZvQ4ANnsVI8bSSmtTPpnV199tVau\nXKkVK1Zo3rx5stvtVl4eAAAAkCT1+qJ6tcOvpq6AwrHE3o2a4LRpWa1X59d6NMHF/SoAAAAAAO/H\n0jCppaVFLS0teuCBB5Sbm6tly5Zp+fLlWrFihWpra62cCgAAAOOMaZra2x/WK+1+7eoLKdHl9ZMK\nTm5l11DOVnYAAAAAACTC0jDptdde06ZNm7Rp0yY1NjbqL3/5i/7yl7/IMAxNnDjx9KqlpUuXyuPh\nMGMAAAC8v0jM1NaegF496Ff3UDShsTk2aX6lRyvqvKqd4EhThQAAAAAAZLe0npl07NgxvfHGG2ps\nbFRTU5P27dsnwzCUk5OjhQsX6le/+lW6ph5z2J8VQDZiD2oA6XQiFNNrh/x6vSOgoUhi5yEVuGy6\noM6r82u8ynPakq6BPgcgm9HjAGQzehyAbJbxZyb9s+LiYl1++eW6/PL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"text/plain": [ - "" + "
" ] }, "metadata": { @@ -653,7 +651,7 @@ "metadata": { "colab_type": "code", "id": "Aot_QO3n1r4o", - "outputId": "492a70d8-1329-4ceb-ea3e-b9b12faa3027", + "outputId": "6aa056b4-43c4-4dd3-c616-5fa57028db59", "colab": { "base_uri": "https://localhost:8080/", "height": 279 @@ -691,14 +689,14 @@ "plt.ylabel(\"Probability\")\n", "plt.legend(loc=\"upper left\");" ], - "execution_count": 0, + "execution_count": 6, "outputs": [ { "output_type": "display_data", "data": { - "image/png": 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JkiRJ9U9d/VGfpP9t/rBXkuq1ujon0JHA58D1BevvAz4ADg8hNChRdlNS8mtq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\nJEmSJEmSlMeeQJIkSZIkSZI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io6Ohra2NqVOnQktLcVK5r68vTE1N8ezZMxw5ckSpfkZGBvr27Vuo+AcNGoSJEyeKS4rJ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\nG9vWrbtgbl5FrH/gwD6EhGzF3bt3kJW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"text/plain": [ - "" + "
" ] }, "metadata": { @@ -777,70 +775,69 @@ }, { "metadata": { + "id": "7x8Y_YtNqoPY", "colab_type": "code", - "id": "kf1kteIgEOfJ", - "outputId": "236f78e5-eca5-400a-ab11-cd6a53839311", + "outputId": "34957d57-c33c-4327-d037-486406bad447", "colab": { "base_uri": "https://localhost:8080/", - "height": 297 + "height": 511 } }, "cell_type": "code", "source": [ "# Build graph.\n", - "grid_of_days = tf.range(start=0., limit=16.)\n", - "texts_per_day = tf.constant([1.5, 4.25])\n", - "text_count_probs = tfp.distributions.Poisson(\n", - " rate=texts_per_day[:, tf.newaxis]).prob(grid_of_days)\n", + "x = tf.range (start=0., limit=16.)\n", + "lambdas = tf.constant([1.5, 4.25])\n", + "\n", + "poi_pmf = tfd.Poisson(\n", + " rate=lambdas[:, tf.newaxis]).prob(x)\n", "\n", "# Execute graph\n", "[\n", - " grid_of_days_,\n", - " texts_per_day_,\n", - " text_count_probs_,\n", + " x_,\n", + " lambdas_,\n", + " poi_pmf_,\n", "] = evaluate([\n", - " grid_of_days,\n", - " texts_per_day,\n", - " text_count_probs,\n", + " x,\n", + " lambdas,\n", + " poi_pmf,\n", "])\n", "\n", + "plt.figure(figsize=(12.5, 8))\n", "\n", - "# Display results\n", - "plt.figure(figsize=(12.5, 4))\n", + "# Display results in two different histograms, for easier comparison\n", "colours = [TFColor[0], TFColor[3]]\n", - "plt.bar(grid_of_days_,\n", - " text_count_probs_[0],\n", - " color=colours[0],\n", - " label=r\"$\\lambda = %.1f$\" % texts_per_day_[0], alpha=0.60,\n", - " edgecolor=colours[0], lw=\"3\")\n", - "\n", - "plt.bar(grid_of_days_,\n", - " text_count_probs_[1],\n", - " color=colours[1],\n", - " label=r\"$\\lambda = %.1f$\" % texts_per_day_[1], alpha=0.60,\n", - " edgecolor=colours[1], lw=\"3\")\n", - "\n", - "plt.xticks(grid_of_days_ + 0.4, grid_of_days_)\n", - "plt.legend()\n", - "plt.ylabel(r\"probability of $k$\")\n", - "plt.xlabel(r\"$k$\")\n", - "plt.title(r\"Probability mass function of a Poisson random variable; differing $\\lambda$ values\");" + "for i in [0,1]:\n", + " ax = plt.subplot(2,1,i+1)\n", + " ax.set_autoscaley_on(False)\n", + " plt.title(\"Probability mass function of a Poisson random variable\");\n", + "\n", + " plt.bar(x_,\n", + " poi_pmf_[i],\n", + " color=colours[i],\n", + " label=r\"$\\lambda = %.1f$\" % lambdas_[i], alpha=0.60,\n", + " edgecolor=colours[i], lw=\"3\")\n", + " plt.xticks(x_ + 0.4, x_)\n", + " plt.ylim([0, .5])\n", + " plt.legend()\n", + " plt.ylabel(r\"probability of $k$\")\n", + " plt.xlabel(r\"$k$\")" ], - "execution_count": 0, + "execution_count": 7, "outputs": [ { "output_type": "display_data", "data": { - "image/png": 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jo2qIt06sXLmShQsXct999zF58mR22GEHdtttNyZOnNjvqj3JAJIkSZIkSZIk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\nkCRJkiRJkiRJklTDAJIkSZI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QIenQoUOGDRtW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\n1hZ169bFo0ePUKlSJ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"text/plain": [ - "" + "
" ] }, "metadata": { "tags": [], "image/png": { - "width": 840, - "height": 279 + "width": 834, + "height": 494 } } } @@ -874,10 +871,10 @@ "metadata": { "colab_type": "code", "id": "o1aeMH4VE9xs", - "outputId": "63563f1d-26c2-4f1d-f695-21fff651170e", + "outputId": "34756f32-6058-4cf2-e8a1-1a5da2cb85a6", "colab": { "base_uri": "https://localhost:8080/", - "height": 297 + "height": 296 } }, "cell_type": "code", @@ -888,25 +885,25 @@ "lambdas = tf.constant([0.5, 1.])\n", "\n", "# Now we use TFP to compute probabilities in a vectorized manner.\n", - "pdf_at_z = tfp.distributions.Exponential(rate=lambdas).prob(a)\n", + "expo_pdf = tfd.Exponential(rate=lambdas).prob(a)\n", "\n", "# Convert from TF to numpy\n", "[\n", " a_,\n", " lambdas_,\n", - " pdf_at_z_,\n", + " expo_pdf_,\n", "] = evaluate([\n", " a,\n", " lambdas,\n", - " pdf_at_z,\n", + " expo_pdf,\n", "])\n", "\n", "# Visualizing our results\n", "plt.figure(figsize=(12.5, 4))\n", "for i in range(lambdas_.size):\n", - " plt.plot(a_.T[0], pdf_at_z_.T[[i]][0],\n", + " plt.plot(a_.T[0], expo_pdf_.T[[i]][0],\n", " lw=3, color=TFColor[i], label=r\"$\\lambda = %.1f$\" % lambdas_[i])\n", - " plt.fill_between(a_.T[0], pdf_at_z_.T[[i]][0],\n", + " plt.fill_between(a_.T[0], expo_pdf_.T[[i]][0],\n", " color=TFColor[i], alpha=.33)\n", "plt.legend()\n", "plt.ylabel(\"PDF at $z$\")\n", @@ -914,14 +911,14 @@ "plt.ylim(0,1.2)\n", "plt.title(r\"Probability density function of an Exponential random variable; differing $\\lambda$\");\n" ], - "execution_count": 0, + "execution_count": 8, "outputs": [ { "output_type": "display_data", "data": { - "image/png": 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00EODmgRatmwZc+bMYcWKFey3335MnTqVv//978ydO5cFCxZw+eWXs/HGG5e9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\n/BGTvKZa+2zWzDnG/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lRjog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\nMSFbSlYdh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"text/plain": [ - "" + "
" ] }, "metadata": { @@ -971,10 +968,10 @@ "metadata": { "colab_type": "code", "id": "cOBOnwa2IIaB", - "outputId": "0a06d8f7-7753-4486-fae2-bea83895361b", + "outputId": "43123229-1b53-4ba0-9527-ee633a683b13", "colab": { "base_uri": "https://localhost:8080/", - "height": 312 + "height": 294 } }, "cell_type": "code", @@ -988,50 +985,38 @@ " 12, 35, 17, 23, 17, 4, 2, 31, 30, 13, 27, 0, 39, 37, \n", " 5, 14, 13, 22,\n", "], dtype=tf.float32)\n", - "count_data_mean = tf.reduce_mean(count_data)\n", "n_count_data = tf.shape(count_data)\n", - "count_of_text_msgs = tf.range(n_count_data[0])\n", + "days = tf.range(n_count_data[0])\n", "\n", "# Convert from TF to numpy.\n", "\n", "[\n", " count_data_, \n", - " count_data_mean_,\n", " n_count_data_, \n", - " count_of_text_msgs_,\n", + " days_,\n", "] = evaluate([\n", " count_data, \n", - " count_data_mean,\n", " n_count_data,\n", - " count_of_text_msgs,\n", + " days,\n", "])\n", "\n", "# Visualizing the Results\n", " \n", "plt.figure(figsize=(12.5, 4))\n", - "plt.bar(count_of_text_msgs_, count_data_, color=\"#5DA5DA\")\n", + "plt.bar(days_, count_data_, color=\"#5DA5DA\")\n", "plt.xlabel(\"Time (days)\")\n", "plt.ylabel(\"count of text-msgs received\")\n", "plt.title(\"Did the user's texting habits change over time?\")\n", - "plt.xlim(0, n_count_data_[0]);\n", - "\n", - "print(\"Count Data Mean: \", count_data_mean_)" + "plt.xlim(0, n_count_data_[0]);" ], - "execution_count": 0, + "execution_count": 9, "outputs": [ - { - "output_type": "stream", - "text": [ - "Count Data Mean: 19.743244\n" - ], - "name": "stdout" - }, { "output_type": "display_data", "data": { - "image/png": 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0tzilmyRJUn9btu3fnVkE7dqDF3/rUeY2SgZLk5414J6Zj5ckDKBkgcDsdRBmAke2HW/3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\n4CNJkiRJkiRJktT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"text/plain": [ - "" + "
" ] }, "metadata": { @@ -1145,7 +1130,9 @@ "\n", "This code creates a new function `lambda_`, but really we can think of it as a random variable: the random variable $\\lambda$ from above. The [gather](https://https://www.tensorflow.org/api_docs/python/tf/gather) function assigns `lambda_1` or `lambda_2` as the value of `lambda_`, depending on what side of `tau` we are on. The values of `lambda_` up until `tau` are `lambda_1` and the values afterwards are `lambda_2`.\n", "\n", - "Note that because `lambda_1`, `lambda_2` and `tau` are random, `lambda_` will be random. We are **not** fixing any variables yet.\n" + "Note that because `lambda_1`, `lambda_2` and `tau` are random, `lambda_` will be random. We are **not** fixing any variables yet.\n", + "\n", + "TFP performs probabilistic inference by evaluating the model parameters using a joint_log_prob function, which we'll describe more in Chapter 2.\n" ] }, { @@ -1319,10 +1306,10 @@ "metadata": { "colab_type": "code", "id": "NpNv545ZkLjb", - "outputId": "7ee741eb-40ad-4cac-8ef6-e0930a4f2ec7", + "outputId": "e0fdbba7-3a66-44a5-910c-d2caa3d84a4f", "colab": { "base_uri": "https://localhost:8080/", - "height": 52 + "height": 53 } }, "cell_type": "code", @@ -1352,13 +1339,13 @@ " kernel_results_.inner_results.extra.step_size_assign[-100:].mean()))\n", "\n" ], - "execution_count": 0, + "execution_count": 12, "outputs": [ { "output_type": "stream", "text": [ - "acceptance rate: 0.58541\n", - "final step size: 0.026963775977492332\n" + "acceptance rate: 0.58777\n", + "final step size: 0.034716054797172546\n" ], "name": "stdout" } @@ -1378,10 +1365,10 @@ "metadata": { "colab_type": "code", "id": "viLRm6DEkRPM", - "outputId": "bc28cbbf-05ed-4b32-b611-388a7ff1f726", + "outputId": "bab21304-d1da-4f91-ed27-66ef070202f5", "colab": { "base_uri": "https://localhost:8080/", - "height": 897 + "height": 896 } }, "cell_type": "code", @@ -1393,7 +1380,7 @@ "ax.set_autoscaley_on(False)\n", "\n", "plt.hist(lambda_1_samples_, histtype='stepfilled', bins=30, alpha=0.85,\n", - " label=r\"posterior of $\\lambda_1$\", color=TFColor[0], normed=True)\n", + " label=r\"posterior of $\\lambda_1$\", color=TFColor[0], density=True)\n", "plt.legend(loc=\"upper left\")\n", "plt.title(r\"\"\"Posterior distributions of the variables $\\lambda_1,\\;\\lambda_2,\\;\\tau$\"\"\")\n", "plt.xlim([15, 30])\n", @@ -1402,7 +1389,7 @@ "ax = plt.subplot(312)\n", "ax.set_autoscaley_on(False)\n", "plt.hist(lambda_2_samples_, histtype='stepfilled', bins=30, alpha=0.85,\n", - " label=r\"posterior of $\\lambda_2$\", color=TFColor[6], normed=True)\n", + " label=r\"posterior of $\\lambda_2$\", color=TFColor[6], density=True)\n", "plt.legend(loc=\"upper left\")\n", "plt.xlim([15, 30])\n", "plt.xlabel(r\"$\\lambda_2$ value\")\n", @@ -1420,14 +1407,14 @@ "plt.xlabel(r\"$\\tau$ (in days)\")\n", "plt.ylabel(r\"probability\");" ], - "execution_count": 0, + "execution_count": 19, "outputs": [ { "output_type": "display_data", "data": { - "image/png": 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OKc3G9YvnPdA5sy8+TxTkm+O7tYNLTb2lp7\nf5IbpY/1Pfpi8FzznZNV9bbW2rvSP+i2T/K1qjqvtfb2JOcON6dGp7X250n+Mv0pxZ+2PsHubJca\n1p2XPmTITVprF6+qX85pt+uwHOWX2JXksap+tO4BTpHV5LK1tl/6MHTfSLJvVX1zPWPejCZxTg7z\n7/xr+gMze2eEE5GvII8/S3845pNJPjin3SWSbD+s+3VVfW8dQt90Jvh7ctTXNyv83P7WsM71zTy2\n4Zx0fTPLCs/JO6UPdzpf7o5Lvyl12ySjLBit9JysqhNba9dOf2L+Ukm+XlU/bq3N9J4Z+/xFC5n5\nHLlUek/BuXmeMerrm2Ua9WfyBP1eHltrT0kfhvfkJPf0oPCyLHk+VtX/Dg8oPC39ftoH1yOwKTST\ny8sn+Yckb0ty6pzPpe2TXGJY94vVnqMKRivQWrtOkg8k+WBVzTfR8MwQc5ccnpq/oKreOt+hhuUZ\n82y7yFtBHi+W4ZdwkhsmOWtOu5kvCnPXj8YKcznbnZN8qxae32hUVpjHHZPMvSk/45JzlqOzmnNy\nGGP+C7OOccn0oezGPM/E3ukT5j55+Jlrv+Hndeljpd8s/ana/5zT7jbD8qS1CXPTW0keH7F+YU2l\nFeVyGF7yjUm+lOTOenb81nLz+PrW2g2S7FBV881cutDn+1gsN4+npz+pfKX0+fTmc+bQbreJRzkd\nlv3eHh7wuHxV/cs87UZ9fZOV/Y58f/rctjdM8vE57UZ/fZPVf3bfOX2or0/Ms88YrSSPOw5tL57e\nI3i20V/fZBXn5DC6x9wC2z5JvjDWoatan+D+7kl+WFXHz9dkWJ6Z/j6+Z2vtGlU193PlNukPhHx+\nzYLd5FaYSxaw0jwOw0G/OMnxSe5bVQvNszUqK8jjd1prpyX5RlXdYZ52Y7++WUkub5v+uXy/zJkz\nb3C19PP2xCR7rSaW0f4nrNKp6f8h+7XWnjv7ZvvwBMmt05+E+Gr6GMC7tta+OLt7YmvtT9Kf0Dkr\nvbvdGC03j19PH3/62UkObK19YObp+dbaLunjKn8/yZiHt1lJLmfW/0GSq8YwfrOtJI+fSHLH1tqd\nq+o/ZrW7eHpx8zdxTi4rl8PTOc9Ksl9VzX6C5Onpc52MefLsY5N8doFt700vph2WCy8CnpTkKZlV\nMGqt7Z7+ZeOjIx6yaqV5ZGHLzmVr7UpD+7OiWDTXSs7Jg5Pcq7V2v6p620yj4fNmZrLTsRaDl5vH\nn2ThSbEPSXLl9KfGx3zBv5Jz8oVJ7tRaO7WqPjbTqLV2lVyYx/+Y70AjsJI8/nf6d6GntNbeMDPs\nSmvtUkkemf5g0ljzmKzis7v1+VlvmN573XB03UryuH+SPZP8RfowS0mS1tqWXHgjasyFuJV8B7p/\nksOTHFhVr51p1Po8t3+SPjXBWP0yPTc/b61dd/b3w+FBo5ulz+12VmvtqPRr66cMPzPtbps+PPzR\nVfXTjNeyc7lRAU6JlZyTe6T/fvx0kvtU1c82JOLNabl5PL219uMke7XWbjF7qPLW2uXS577+ZZLP\nrG/4m8qycpk+5OkX5z1CHwL17CR/n+SHqw1ky9athvNfidbaA5P8a3rSD08fCuiaSZ6Q/vTio6rq\n6Nba7dOrzv87tDstvRL4xPQhMO61QLVwFJabx6HtAelV/JPSJ/S6Ynoer57koVX1r+v+D9hEVpLL\nof1eST6a5BVV9cR1D3iTWsF7+6bpVfqkFzS+nN5t/rHpF6qHVNWB6xz+prKCXF4r/cmw36R36z49\nfe6DRyR5bVU9Zv2j3/xaa1uTvK6qHjFr3YvTJ3N/V5J3pP+ePCD9Rumtq8rY1XPMzeNQ5LjtrCbP\nTr+w32/Wus9U1enrFuSUmCeXM+fj4emTwc5HLueYJ48t/QbdZZK8Jv1m1c7pN5RvkDm/B+jm+x25\nQLsTkuxWVbutQ1hTaZ5z8rq58KbxK9Mfkrt6+uf7VZL81QK9j0Ztgc/t/ZL8W3oOX5pkh/QbyddN\nv9F8yAaEuukt9P5ure2Wfr39vqq6+waENlXmeW/vln4D6nLp19ufTrJdkoekP5n8pqp60EbEutnN\nk8vLJjkl/ZrnJenv8Zum/578UJK7VdVvNibajddae3j6jc7TkhyR5HvpQ7o/Lr132141zNvY+hDl\n90nyL+lzN+6aPlzVeemTwY9yKNkZy81la23X9JvMM2Yeynz8rHUnjnVotRXkceZ8PDgLzwslj0vn\n8TbpI9L8Ov1a8avpD7T/dfo9o2dX1cHrHf9mspLfkwvs/630EaX22pY49DBaoap6c2vt9CR/l/6h\nf9n0yfY+k+QlVfWBod2HW2u3SB9T8EnpF/g/TC8iHbLYf+4YLDePQ9uXtNbOzIU3ny5I8rkkj57d\nbqxWksvB5YblT9Yvys1vBe/tzw5Fo2cmeVD608nnp18YPLiqjt2I+DeTFeTym0MB8znpwztcJr0X\n1/5JXrUBoU+zp6V/oXhsktemn5MnJPmHqvrqBsY1TfZM7x081+x1j8yFExizsJsMy/2Hn/nI5RKq\nqlprN0r/vLl7ksekP3X21fS8HrGB4TFCVfWV1tqNkxyU/nDHFdI/309OcmhVnbBx0U2Xqnpra+2H\n6e/vF6dfl38lyYOq6k0bGtx0cn2zDarPM3rj9HsX+6b3GPxlkv9Kf1BzzL3+V2SYq+i2SZ6XnsfL\npc9bdnCSF425WJQkVfW61toZ6U++H5g+HOL30h82fF797nyXf5HkGemFy4cm+VH6KCnPHHuxKFlR\nLm+X5Oh5DjH7Gud2Wfghr4u0FeRx5vrm4EUOJ49L5LGqPjbcTzswycPSi+vnp/eWObCq3rwR8W8m\nK/w9uWb0MAIAAAAAABi57TY6AAAAAAAAADaWghEAAAAAAMDIKRgBAAAAAACMnIIRAAAAAADAyCkY\nAQAAAAAAjJyCEQAAAAAAwMgpGAEAAAAAAIycghEAAAAAAMDIKRgBAAAAAACMnIIRAAAAAADAyCkY\nAQAAAAAAjJyCEQAAAAAAwMgpGAEAAAAAAIzcxTY6AAAAgM2itXaNJJ9O8j9JbpXk6UmeleSRVXXM\nOsaxV5KPJjmxqvZar9ddjtbaQUmek+SxVfWajY4HAACYDD2MAAAAkrTWLpbk7Ukuk+S+VXVekg+k\nF40+s5GxbTL/mJ6XV7TWbrrRwQAAAJOhhxEAAED3jCQ3TfL0qvrvJKmqTyT5xIZGtclU1dbW2qOT\n/FeS17fWrl9Vv97ouAAAgG2jhxEAADB6rbWrpheMzkry8g0OZ9OrqjOSHJ7kOkkeu8HhAAAAE6CH\nEQAAMJVaa6cl2W2ZzW9VVScvsv0JSXZM8ryq+sWs1zg4c+YwmrXucUk+luR5SW6dZKckpyY5rKqO\nXOa/YfckL0hyuyQXT/K1JC9Kn0NpoX0un+TAJHdPco30BwFPT/KuJM+tqp8M7T6U5PZJ9quqt81z\nnFsk+WSSz1fVTYZ1d0/ypCQ3SrJzkh8k+UqSw6vqXXMO8bIkT0ny1Nbaq6rqguX8mwEAgM1JDyMA\nAGDqtNYuleSEJK+b9fOtYfPH56w/OslnFznWliQPG/769hWE8UfDa52f5LAkb07vcfPa1tq9l/Fv\nuGp6weneSU5OckiSz6f33Hn4AvvsmD5E3lPTi0SHJHlJkgvS51r6QGtt5jrvmGH5iAXVJgbkAAAG\n5UlEQVRCeMCwfP1w7AcleU+S6yd5U3pR7G1J9kzyztbaX8/euarOHOK/ZpI/X+rfCwAAbG56GAEA\nAFOnqs5P8sjZ61prn07vcXRgVX1sBYfbM8nVk5xVVV9fwX5PTvKoqnr9rBj+X3qPoYcneecS+z89\nyVWSHFVVfzXrGM9L8qUF9rl/kpbkfVV191n7PCfJ15P8aZJ9khyX5B3pxac7t9auWlXfm9V+S5L9\nkvw6ybHD6icMy9tV1VfnHPur6UPPHTEnnuOS7JVk3/QCHgAAMKX0MAIAAKZea237JNdNsjULF1sW\ncrNh+Z8r3O/Ls4tFgw8Myz9exv73HJaHzV5ZVaen94qaz4fSC0JPn7PPz4ZtSe8hNFNUe0v6g4IP\nnXOcWye5WpLjq+r7w7rLDctfzzn295PsUlU3mieezw/Lmy4QLwAAMCX0MAIAAC4KWpIdknyzqs5d\n4b67DMszV7jf5+ZZd86w3GGxHVtrOyS5VpJfpffemetT8+03DAN35nCM7ZNccdZr/XxYXnLWLsck\n+av0Hk8vmrX+/sPyDbPWvS/JHkk+2Fp7UZL3VNUZw+v+ThFplu8Myz9YYDsAADAl9DACAAAuCm44\nLL+4in2vMCx/sML95mu/dVhuWWLfyw1tzq2qC+bZ/sOFdmyt/VVr7ZT0YtP3kpw2/Pz13LZVdVKS\nU5Ps2Vq72bD/dknul+TH6XMWzXhG+hB2uyR5eZLTW2unttYOa61dZ4FwZnJwxYXiBQAApoOCEQAA\ncFFwg2G5moLRzsPyxxOKZTlmCkpbF9g+77Vaa+3/Jnlt+lxNL0vysCT3SXLv9DmL5nPMsHzEsPzz\n9KLQW6tqpldSquo3VfWEJLumF5/eneTKSf4myZdba385z7FncnbZBV4bAACYEgpGAADARcH1h+Vq\nCkYzQ9jtvGiryZoptPz/9u4uVLOqjuP4d2C06MUoyogxw4xWRBcReCFBUBaFBEYhRsxNLyLVOBVE\nJN51IXlRUYFYRIKGIQYW1ngVBL1BbzcFsaKoC2OyITBIkWKaLvYzdjo9wwxzznA883w+N4u999pr\nr2ffPfz4//dlY4x11UiXbz8xxjhYfXJ1eP2c8+NzzvvmnA/NOb9d/fUMz7q3+nd146qN3fu2nP8/\nc87jc86vzDnfVb20+nB1svrSGOOybdNPv7O/BwAA7GsCIwAA4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4MAABv5SURB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\n", 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" ] }, "metadata": { @@ -1470,10 +1457,10 @@ "metadata": { "colab_type": "code", "id": "DgNkjkmO1h4I", - "outputId": "9f0fa98c-ee6a-49f9-90c9-361d22a9e17d", + "outputId": "195a4269-7f76-4bc3-ec1b-a2f9c6a09ceb", "colab": { "base_uri": "https://localhost:8080/", - "height": 567 + "height": 566 } }, "cell_type": "code", @@ -1509,14 +1496,14 @@ "\n", "plt.legend(loc=\"upper left\");" ], - "execution_count": 0, + "execution_count": 14, "outputs": [ { "output_type": "display_data", "data": { - "image/png": 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90vvcmIllE5F02rjRPYIVKlTI4pKIZH8X+vM0YuWBsz5H18oFM6Ek8m9woT9P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\nv9K4cWM6derE6NGjk6WNjY1l48aNtGz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UWFiIGTNmQEdHRzqmqamJL774AkDpcjkvXrwAANy8eRPh4eGoXbs2vvvuO7lf1WtqamLm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\n6BMZMWJYPvzww3Tvfkh+8pPLSq/0WX0eXnxxbJ5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" ] }, "metadata": { @@ -1626,7 +1613,11 @@ "metadata": { "colab_type": "code", "id": "FY5Ftmqh3IC6", - "colab": {} + "colab": { + "base_uri": "https://localhost:8080/", + "height": 331 + }, + "outputId": "d4cac394-c473-4de5-86d9-b58a08c33fd6" }, "cell_type": "code", "source": [ @@ -1636,8 +1627,21 @@ " return HTML(styles)\n", "css_styling()\n" ], - "execution_count": 0, - "outputs": [] + "execution_count": 18, + "outputs": [ + { + "output_type": "error", + "ename": "FileNotFoundError", + "evalue": "ignored", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mFileNotFoundError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mstyles\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mopen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"../styles/custom.css\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"r\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mread\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mHTML\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mstyles\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 5\u001b[0;31m \u001b[0mcss_styling\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;32m\u001b[0m in \u001b[0;36mcss_styling\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mIPython\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcore\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdisplay\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mHTML\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mcss_styling\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mstyles\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mopen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"../styles/custom.css\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"r\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mread\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mHTML\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mstyles\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mcss_styling\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: '../styles/custom.css'" + ] + } + ] } ] } \ No newline at end of file