From d37090af7fb94ee942bb3a58432bae7780439c4c Mon Sep 17 00:00:00 2001 From: Damian Bregier Date: Sun, 27 Jun 2021 20:23:26 +0200 Subject: [PATCH] ADD: Informations about gradients --- Polynomial Regression.ipynb | 178 +++++++++++++++++++++++------------- 1 file changed, 114 insertions(+), 64 deletions(-) diff --git a/Polynomial Regression.ipynb b/Polynomial Regression.ipynb index 36f9f60..9b2efd8 100644 --- a/Polynomial Regression.ipynb +++ b/Polynomial Regression.ipynb @@ -42,7 +42,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -63,7 +63,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -75,7 +75,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -107,7 +107,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -149,9 +149,22 @@ "![image.png](attachment:image.png)" ] }, + { + "attachments": { + "image.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Metoda gradientu prostego\n", + "![image.png](attachment:image.png)" + ] + }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -160,16 +173,71 @@ " return 1.0 / len(Y) * (X.T * (X * theta - Y)) " ] }, + { + "attachments": { + "image.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Metoda najszybszego spadku jest iteracyjnym algorytmem wyszukiwania minimym zadanej funkcji celu i stanowi modyfikację gradientu prostego. Na samym początku algorytmu wybierany jest punkt startowy, w którym jest obliczany antygradient funkcji celu stanowiący kierunek poszukiwań w procedurze. Kolejny krok jest obliczany w oparciu o poprzedni i jeżeli nie spełnia on warunku stopu to obliczenia są powtarzane do skutku. \n", + "\n", + "Podstawową różnicę w stosunku do gradientu prostego stanowi sposób wyszukiwania wartości, która jest dokonywana przez minimalizację kierunkową funkcji. \n", + "\n", + "![image.png](attachment:image.png)" + ] + }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "# Steepest descent\n", + "def steepest_descent(X, Y, theta, cost_function = mean_squared_error, \n", + " single_step=0.01, epochs=30):\n", + " cost = cost_function(theta, X, Y)\n", + " logs = [[cost, theta]]\n", + " for i in range(epochs):\n", + " direction = gradient(theta, X, Y)\n", + " j = 0\n", + " while(True):\n", + " j+=1\n", + " next_theta = theta - single_step * direction\n", + " next_cost = cost_function(next_theta, X, Y)\n", + " if(next_cost >= cost or type(next_cost) != float):\n", + " break\n", + " cost = next_cost\n", + " theta = next_theta\n", + " logs.append([next_cost, theta])\n", + " return theta, logs" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ponadto w toku prac projektowych przetestowane zostaly także inne algorytmy takie jak batch gradient descend (BGD), BGD z momentum, mini-batch gradient descend oraz stochastic gradient descend. \n", + "\n", + "BGD to metoda w której błąd obliczany jest dla każdego parametru ze zbioru treningowego, ale sam model jest aktualizowany dopiero po ocenie wszystkich danych. \n", + "\n", + "MBGD opiera się na podziale danch treningowych na niewielkie pakiety, które są potem wykorzystywane do obliczania wartości błędu i aktualizacji modelu.\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, "metadata": { "scrolled": true }, "outputs": [], "source": [ - "# Batch gradient descent (BGD)\n", - "def BGD(X, Y, theta, cost_function = mean_squared_error, learning_rate=0.1, eps=10**-5, max_steps = 10000000000):\n", + "# Batch gradient descend (BGD)\n", + "def BGD(X, Y, theta, cost_function = mean_squared_error, learning_rate=0.1, \n", + " eps=10**-5, max_steps = 10000000000):\n", " cost = cost_function(theta, X, Y)\n", " logs = [[cost, theta]]\n", " \n", @@ -183,20 +251,23 @@ " return theta, logs\n", "\n", "# BGD z momentum\n", - "def momentum(X, Y, theta, cost_function = mean_squared_error, learning_rate=0.1, momentum = 0.9, epochs=30):\n", + "def momentum(X, Y, theta, cost_function = mean_squared_error, \n", + " learning_rate=0.1, momentum = 0.9, epochs=30):\n", " cost = cost_function(theta, X, Y)\n", " logs = [[cost, theta]]\n", " delta_history = [np.matrix([0]*(degree+1)).T]\n", " for i in range(epochs):\n", - " delta_history.append(momentum * delta_history[-1] + learning_rate * gradient(theta, X, Y))\n", + " delta_history.append(momentum * delta_history[-1] + \n", + " learning_rate * gradient(theta, X, Y))\n", " theta = theta - delta_history[-1]\n", " next_cost = cost_function(theta, X, Y)\n", " logs.append([next_cost, theta])\n", " cost = next_cost\n", " return theta, logs\n", "\n", - "# Mini-batch gradient descent (MBGD)\n", - "def MBGD(X, Y, theta, cost_function = mean_squared_error, learning_rate=0.1, epochs=5, batch_size=16):\n", + "# Mini-batch gradient descend (MBGD)\n", + "def MBGD(X, Y, theta, cost_function = mean_squared_error, \n", + " learning_rate=0.1, epochs=5, batch_size=16):\n", " cost = cost_function(theta, X, Y)\n", " logs = [[cost, theta]]\n", " start, end = 0, batch_size\n", @@ -221,27 +292,10 @@ " end = min(start + batch_size, m)\n", " return theta, logs\n", "\n", - "# Stochastic gradient descent (SGD)\n", - "def SGD(X, Y, theta, cost_function = mean_squared_error, learning_rate=0.1, epochs=5):\n", - " return MBGD(X, Y, theta, cost_function, learning_rate, epochs, 1)\n", - "\n", - "# Steepest descent\n", - "def steepest_descent(X, Y, theta, cost_function = mean_squared_error, single_step=0.01, epochs=30):\n", - " cost = cost_function(theta, X, Y)\n", - " logs = [[cost, theta]]\n", - " for i in range(epochs):\n", - " direction = gradient(theta, X, Y)\n", - " j = 0\n", - " while(True):\n", - " j+=1\n", - " next_theta = theta - single_step * direction\n", - " next_cost = cost_function(next_theta, X, Y)\n", - " if(next_cost >= cost or type(next_cost) != float):\n", - " break\n", - " cost = next_cost\n", - " theta = next_theta\n", - " logs.append([next_cost, theta])\n", - " return theta, logs" + "# Stochastic gradient descend (SGD)\n", + "def SGD(X, Y, theta, cost_function = mean_squared_error, learning_rate=0.1,\n", + " epochs=5):\n", + " return MBGD(X, Y, theta, cost_function, learning_rate, epochs, 1)" ] }, { @@ -253,37 +307,42 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ + "SGD:\n", + "f(x) = 34.06033951445318x^0 + 43.85258948907885x^1 + 49.46046316253574x^2 + 52.05621808156889x^3 + 52.51952473344481^4\n", + "600001 updates\n", + "\n", "BGD:\n", - "f(x) = -65.64506277392503x^0 + 68.77648241255996x^1 + 114.75349304333463x^2 + 102.20675310280693x^3 + 52.80014652046723^4\n", + "f(x) = -65.64506277392528x^0 + 68.77648241256031x^1 + 114.75349304333466x^2 + 102.20675310280708x^3 + 52.80014652046691^4\n", "82705 updates\n", "\n", "MBGD:\n", - "f(x) = -20.49538398624665x^0 + 43.83203531549893x^1 + 74.9580517022499x^2 + 83.08157339221718x^3 + 75.75845309811228^4\n", + "f(x) = -32.29122418991072x^0 + 53.876193091384174x^1 + 86.86638770732357x^2 + 84.88913589397598x^3 + 60.97817901045005^4\n", "37501 updates\n", "\n", - "SGD:\n", - "f(x) = 38.980419583838696x^0 + 42.24440889357842x^1 + 43.5350614491982x^2 + 43.437875831269686x^3 + 42.39005292817251^4\n", - "600001 updates\n", - "\n", "momentum:\n", - "f(x) = 8.015549563834483x^0 + 38.129978604712036x^1 + 58.338707783566186x^2 + 71.220198958028x^3 + 78.7251186900262^4\n", + "f(x) = 8.015549563834169x^0 + 38.129978604712115x^1 + 58.33870778356634x^2 + 71.22019895802788x^3 + 78.72511869002662^4\n", "61 updates\n", "\n", "steepest descent:\n", - "f(x) = 13.638648831593645x^0 + 39.092493619820296x^1 + 55.99541645170152x^2 + 66.58927282539155x^3 + 72.5680972400324^4\n", + "f(x) = 13.63864883159118x^0 + 39.09249361981945x^1 + 55.99541645170295x^2 + 66.58927282539138x^3 + 72.568097240031^4\n", "61 updates\n", "\n" ] } ], "source": [ + "final_theta_SGD, logs_3 = SGD(X, Y, initial_theta, epochs = 60)\n", + "print(\"SGD:\")\n", + "print_theta(final_theta_SGD)\n", + "print(f\"{len(logs_3)} updates\\n\")\n", + "\n", "final_theta_BGD, logs_1 = BGD(X, Y, initial_theta)\n", "print(\"BGD:\")\n", "print_theta(final_theta_BGD)\n", @@ -294,10 +353,6 @@ "print_theta(final_theta_MBGD)\n", "print(f\"{len(logs_2)} updates\\n\")\n", "\n", - "final_theta_SGD, logs_3 = SGD(X, Y, initial_theta, epochs = 60)\n", - "print(\"SGD:\")\n", - "print_theta(final_theta_SGD)\n", - "print(f\"{len(logs_3)} updates\\n\")\n", "\n", "final_theta_momentum, logs_4 = momentum(X, Y, initial_theta, epochs = 60)\n", "print(\"momentum:\")\n", @@ -311,16 +366,11 @@ ] }, { - "attachments": { - "image.png": { - "image/png": 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" - } - }, "cell_type": "markdown", "metadata": {}, "source": [ - "Metoda gradientu prostego\n", - "![image.png](attachment:image.png)" + "Wniosek:\n", + "Metoda najszybszego spadku oraz momentum cechują się najszybszą zbieżnością do minimum lokalnego danej funkcji. Przeciętnie, dla zadanych parametrów, minimum jest osiągane w ciągu 61 aktualizacji. Podczas gdy SGD wymaga ich ponad 600 tysięcy. " ] }, { @@ -332,7 +382,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 14, "metadata": { "scrolled": false }, @@ -377,7 +427,7 @@ }, { "data": { - "image/png": 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\n", 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VrLa+luKyYr7a/FVgSRXAla/DiC9g+c5Q8j+dOzfVUmlyTQzJHqLCdYkrSqxERBJYa7VHK2tWBjb9B5D7Jfz6JW/70hPgm7SOn2sY00+ermRK4pJqrEREElhrtUeB1iQ5uHsBZDbAzL3huT06d/ol+ZcoqZK4pcRKRCSBlRSUkJmWudW+5pqkFAvmR8DP34MTP4L1veHKYzt3bt+0vkw7YVp0AhPxgRIrEZEEVjiikNJRpeRm52IYudm5lI4qpXBEIU2uKebx7FzrjVYBXH8UfL5D586vb6rf6q1GkXhjzgU3x94sPz/flZeXBx2GiEhSyZuaF/N1Ae+fAxf8G14eAkecB64L/7zPzc6lclKlv4GJdIKZLXbO5Uf6TiNWIiJJKtYtCgo+9pKqb1LhFyd1LakCNQOV+KbESkQkCYUqQjFdBiZjM5TO97Z/81P4cJeuX0vNQCWeqd2CiEiS2bZpaCz85kXYfT38eyDcdnjXr2OYmoFKXNOIlYhIgmhr6ZqWIjUNjab8T+HKf0KjwUUnQUNq16/lcGq1IHFNI1YiIgmgraVrWiYioYpQTAvWezXCffMg1cHth8LiQd27XlZ6lj+BiUSJRqxERBJAW0vXNAtVhDh/zvkxjevaV2Hfz+HjneGmI7t/va83f939i4hEkRIrEZEE0NbSNc2Ky4pjujbg99bCTf/nbReNgrr07l8zyGV4RDpCU4EiIglgSPaQiFN8/TL6kTc1L+ZrA1qTNwXYpxHu3x9e2N2f66ZaNwq0RGJAI1YiIgkg0tI1aSlpbNy8kaqaqpiP9FxSDj9ZCauz4Jpj/Ltu0QFF/l1MJAqUWImIJIBIS9fs2HtHNjdujnkseV/Crc9525eNhPUZXbvOXrvstWWEKtVSGZ8/XusEStzTVKCISIIoHFG41RuAKVNi/29na4IH5kJWPTz6Q5i9V+evkWqpFB1QpCRKeiQlViIiCaa5q3oQhd7jy+HISvi8rzda1Rk5GTmsnbw2KnGJxIoSKxGRBBJEV/VmQ9d9OwU4/gSo7tu589fVrfM/KJEYU42ViEgCiXVX9WbWBA/Ohb71MHNveLILU4BaA1ASgRIrEZEE0lo/q2ib8Bb8tMqbArz8+M6frzUAJVEosRIRSSBBjPrsvg5ued7bvuTEzk8BgtYAlMShxEpEJIGMHN7JivFuan4LsG89hEbAnB907Tq52bn+BiYSECVWIiIJZNbSWTG932VvelOA/+0LV3RhCrDZqg2rSJmSQt7UPEIVIf8CFIkxvRUoIpIgQhUhquuqY3a/YdXfTgFePArWZbZ9fFsaXSMAVTVVFM33uqtralB6Io1YiYj0YKGKEHlT80iZksK4J8fF7L4pTTB9DmQ2wIwRMO/7/l27tr6W4rJi/y4oEkMasRIR6aG27VnVPOoTC5NfhcM/gU936N4UYGuCertRpLs0YiUi0kMF1bNqv9Xwmxe97fPGwJfdmAJsjXpaSU+lxEpEpIcKYlSndz3MmA1pTfDng+D5Yf7fIzMtUz2tpMdSYiUi0kMFMarzuzL44Rr4IAeuO8r/6+dm51I6qlSF69JjqcZKRKSHaF5ceWXNSoZkD2Hk8JFMXzI9ZtOBR/4HrvonNBiccwrUpft7fcOonFTp70VFYkwjViIiPUBzoXpVTRUOR1VNFdOXTOfQwYdiWNTvn10HD83xtn/zUygf5P89VFcliUCJlYhIDxCpUL22vpaXKl/C4aJ+/z8vhCEb4I1B8Luf+H991VVJolBiJSIS50IVIapqqiJ+F4sWC6cuhXPegdpecM7J0Jjq7/VzMnJUVyUJQzVWIiJxrHkKMCi7boB7n/K2rzkGPtrFv2vnZudSUlCihEoSikasRETiWFC9qsBbYPnBuZBTB88Mg3sO9O/aSqokUbWbWJnZA2b2hZm922Lfr83sUzP7d/jXyBbf3WBmy81smZkdG63ARUSSQZAdyCf9E479GNZmwAWjwc8a+eY1AbXgsiSajoxYPQQcF2H/H51z+4V/LQAws72AM4Efhs+ZZmY+z8aLiCSPoN6U2/+zbxdYPn8MrN7R/3toTUBJRO0mVs65l4F1HbzeaOBR59wm59wKYDlwUDfiExFJaiUFJWSmRWHNmDZkboaZT0B6E9x9IDy1Z/TupTUBJdF0p8bqMjN7JzxVuHN43yDgkxbHrArvExGRLigcUUjpqFJys3Nj0q8K4K6FsGc1VAyAa4+J7r3Uu0oSTVcTq3uAYcB+wGrgjvD+SH/qIzZYMbMiMys3s/I1a9Z0MQwRkeSSGuXqilOXwkVvwzepcNbP4Zu06N1LvaskEXUpsXLOfe6ca3TONQF/49vpvlXAbi0OHQx81so1Sp1z+c65/P79+3clDBGRhLdtx/Vo9q3abT2Uzve2rz4Wlg709/qplkpORg6GaU1ASVhd6mNlZrs651aHP54MNL8xOA/4XzO7E/guMBx4s9tRiogkqVi1W0hpgtBs2PkbmPc9mOZja4Vmja6RrPQs1k5e6//FReJEu4mVmc0EjgB2MbNVwM3AEWa2H940XyVwMYBzbqmZzQLeAxqACc7FoC2wiEiCilVx943/gJ+shM+y/G+t0JKK1SXRtZtYOefOirD7/jaOLwE0aS4i4oMh2UNaXc7GL4euhJtfgibgnFOgum/07qVidUl06rwuIhLHIrVbSEvxr6J851qvtUIvB7cdDi/s7tult6NidUkGSqxEROJcRq+MLds5GTn8T+7/+HNh5y1Zk1sDbwyCXx3pz2Vbam4ToWJ1SRZahFlEJE41vxHYsnh9w6YNlK0o8+X6k/4Jo5fBl33gjFOh3uefCFnpWVROqvT3oiJxTiNWIiJxauLCidu9EVjfVO/LtQ9aBbc+522fPxqqdm77+K6498R7/b+oSJxTYiUiEkdCFSHypuZhU4zquuqo3GOnOvj7Y5DWBH88BOb+ICq30bSfJCVNBYqIxIlIU3++c/DgHMirgTe/C9cdFZ3bZKVnRefCInFOI1YiInEiFs1AJ/4TxiyD9b3hjNP8r6tq1ju1d3QuLBLnlFiJiMSJaDfPPLBlXdUYqIxCXVWzdXXrondxkTimxEpEJE5Es3nmTnXw98chvQnuOhjmRKmuqpkagUqyUmIlIhInSgpKsGisJePggbkwdD289V2YfLT/t2jJMDUClaSlxEpEJE4UjijE4Xy/7rWvwskfhOuqToXNUXxtyTAuyb9EbwRK0lJiJSISR3Kzc3293pH/gd+H+4meezKs6Ofr5bdo7q7+yCmPMO2EadG5iUgPoHYLIiIBC1WEKC4rZmXNyu3WBeyOQTXw6OOQ6qDkJzD/+75dejtNNzdF7+IiPYgSKxGRAG3bu+rr+q99uW5aAzz2GAyohed2h5uisA6giGxPU4EiIgGKVu+qO56FQ1fByh3h7J9DUxT/tk8x/SgRaaY/DSIiAYpG76qz34HL34RNqXDq6bC2r++32EqT0zSgSDMlViIiAeqX4W81+d6fQ+l8b3vicfDWYF8vH5HfBfciPZkSKxGRBLHjNzD779C3HqbvC3/Nj/49M9My1bNKpAUVr4uIxFCoIsTEhROprqv29brWBA/NgeHrYMlAGH8CRKPX6LbG7TtOPatEWlBiJSISI6GKEOfPOZ/6pnrfr/3Ll79tAnrKGVCX7vstIlrw0YLY3Eikh9BUoIhIjBSXFUclqTrpA/jNS9AEnHkq/CdKTUAjifbC0SI9jRIrEZEYiUYSstcXMGO2t33DUbBouO+3aJMWWxbZmhIrEZEYaSsJSbXUTl9vpzqY8yjssBlm7g23Ht6d6DqvV0ovFa6LbEOJlYhIjJQUlJCWkhbxu0bX2KlrpTR5y9UMXwdvfwcuPImYFKu3lN07W4XrIttQYiUiEiOFIwp5cMyD5GTkdPtav38ejv0Y1mTCmDNjV6ze0rq6dbG/qUicU2IlIhJDhSMKWTt5Le5m1+XGmme9A5Nfg/oUr7P6yp38jbGjVF8lsj0lViIiAQhVhKiqqer0eT/6DO6f521POg5ezvM3ro5SY1CRyJRYiYjEWKgiRNH8ok6fN3AjPPkoZDTAffvDtAOjEFwrUiyF3OxcDCM3O5fSUaWqrxKJQA1CRURirLismNr62k6d06feewNwyAZ4bTBMiFFn9WZNronKSZWxu6FID6URKxGRGOt0PysHD8yFQz6Fqmw4+UzYHON/FnelHYRIMlJiJSISY50t+r7p/+Csd2FjOpx4NnyRFaXA2lB0QOenLkWSkRIrEZEYCVWEyJua16mi9TMqYMpL0GjecjXvDoxefAC9U3vTJ7XPls+GMT5/PNNOmBbdG4skCNVYiYjEQHPBemdqqw7+BB6a421ffQws+F50YmtpU+MmMtMymTF6horTRbpAI1YiIjHQ2YL13dZ7xep9GuGvB8Bdh0Qvtm3V1tdSXFYcuxuKJBAlViIiMdCZgvWsTTB/JnznaygbCpeNJObL1URjwWiRZKDESkQkBjpasJ7SBKEnYN/PYVmO11m9IYAX8vpl9CNvah4pU1LIm5pHqCIU+yBEeiAlViIiMVBSUEJmWmbbBzmY+gyc9CGs6+O9Abg+IzbxtZSWksbGzRupqqnC4aiqqaJofpGSK5EOUGIlIuKD5jf+WhvhKRxRSOmo0javceXrcPmbsCnV61W1vPtrNXdYVnrWlq7qO/bekc2Nm7f6XnVXIh2jtwJFRLpp2zf+mkd4wEuoQhUhisuK22yzcOpSuPNZb/u8MbFfA3DjDRu3bKdMifxvbtVdibRPiZWISDdFeuOv5QhPe20WDlsJj8z2tq87Ch4dEbVQI8rNzt3q85DsIRGTwM42NhVJRpoKFBHpptZGclbWrGy3zcL31sK8mV5bhWn5cOvh0Yoyssy0TEoKSrbaF6keLNJxIrI9JVYiIt3U2khOiqW0Of034CtYOANy6mD+9+CK44lJW4W+aX231FOVjirdrhFocz1YbnZum8eJyPbMORd0DOTn57vy8vKgwxAR6ZKudFXP3AwvPgQHfQZvfReOOA9q06MW4hY5GTmsq1vHkOwhlBSUKFkS6QIzW+ycy4/0nUasRES6qXBEIeP2Hdfh41Oa4H+f8JKqFTt5bRVikVQBVNdVq4WCSBQpsRIR8cGCjxZ07EAH056G0cu8XlXHF8IXWdGNrTVqoSDiv3YTKzN7wMy+MLN3W+zrZ2bPmdlH4d93bvHdDWa23MyWmdmx0QpcRCSedLQVwZQX4eLFUNcLTjoLlvWPcmDtaBl3e724RKR9HRmxegg4bpt91wNlzrnhQFn4M2a2F3Am8MPwOdPMLIDFGEREYqsjrQguewNuehkaDE4/DV7NbfeUqGuOu7lOTN3WRbqn3cTKOfcysG6b3aOB6eHt6cCYFvsfdc5tcs6tAJYDB/kTqohI/GpvyZozKuCuhd72RSfBU3vGKLA2tGyh0F4vLhHpmK7WWA10zq0GCP8+ILx/EPBJi+NWhfeJiCS0SC0KUsz7K/bo5fDwk95fuJOPgun7BxdnTkZOxBYKbfXiEpGO87vzeqQOLBH7OZhZEVAEMGSIuvmKSM9XOKJwS6ISqggxdvZYDlwFs/8O6U1w+6FwW4wbgG5r7eS1Efer27qIP7o6YvW5me0KEP79i/D+VcBuLY4bDHwW6QLOuVLnXL5zLr9//4CrN0VEfBSqCHHenPPYcw0sCEFWPTy8D0w+mpg0AG3NtkvXtKRu6yL+6GpiNQ9obtoyDpjbYv+ZZtbbzIYCw4E3uxeiiEjPMnHhRAZ+2cCiGbBLHTw9HC4cDS6GDW5smwyuvSRJ3dZF/NHuVKCZzQSOAHYxs1XAzcAtwCwzuxBYCZwG4JxbamazgPeABmCCc64xSrGLiMSdUEWIlDXVPP8w5NbAa4O9NwAbYvh+dG52LiUFJRSXFbOyZmWHu6y3nMoUka7RkjYiIj4JVYSYPOsXPP23Ovb7HN4Z4C1V82XrLwtGxYxTZmxV69XZBEtE2tbWkjZ+F6+LiCSt3z19A0886CVVy3Lg6HNjn1QVDC3YKqlquYZhc28qQMmVSJRoSRsRET/U1XH3Xz/hkE+hMhuOOjf2S9WMzx/P8+c+v+WzelOJxJ5GrEREumvzZjj1VI6shM+yoGAcrMqO3e0z0zIjFpqrN5VI7GnESkSkOxoaYOxYWLCAb3bK4thxKfynX+xun5OR0+rbe631oFJvKpHoUWIlItJFoSWP8PhhO8Fjj7Ghj/HHXx/Hu/2bYhpDXUNdq9+pN5VI7CmxEhHpgtA7M/i66AJOfetrvk6D48923Lj+8ZjH0VbNlHpTicSeaqxERDrLORomXErRmw18kwpjzoTXApxda6tmSr2pRGJLI1YiIp3hHEycyLhXNrIpnFQ9PyzYkFQzJRI/lFiJiHSUc3DVVfDnP7MpFU4+AxYNDzYk1UyJxBclViIiHeEcXHMNTJ0KaWm8PvVqnvlegCsqA6mWqpopkTijxEpEpD3OwXXXwZ13QloaPP44R1x2O5fkX7LdYsex1OSalFSJxBklViIibXEObrwRbrsNevWCWbPgpJMAmHbCNB455ZHAQlNtlUj8UWIlItKa5qTqllsgNRX+/ncYM2arQwpHFJKbnevrbVMtdUt7hPH548lKj7w2zsjhI329r4h0nxIrEZFInIOrr/42qXr0UTjllIiHRmrE2VWZaZlMP3k6TTc3UTmpkmknTCMnIyfisQs+WuDLPUXEP0qsRES21dQEEybAH//o1VQ99hicemqrhzc34mwtAeqo1hp4as0/kZ5DiZWISEuNjfCLX8A990Dv3jBnDpx88naHhSpC5E3NI2VKCnlT8wBanbLriNzsXConVWrNP5EeTomViEizhgYYNw4eeAAyMuCpp2Dk9nVMoYoQRfOLqKqpwuGoqqna8rk9aSlppKemb7WvvV5UWvNPpOdQYiUiAlBfD2edBaEQZGXBM8/AUUdFPLS4rJja+tqt9tXW15Jqqe3fpqmeHdJ32FLwnmqpW9b7C1WEIp6jNf9Eeg5zzgUdA/n5+a68vDzoMEQkWW3aBKefDvPmQXa2l1Qdckirh6dMScER+e9Ow1r9ruUxj5zyCEXzi7ZK0DLTMpUwifQAZrbYOZcf6TuNWIlIcvv6a68v1bx5sPPOUFbWZlIFrdc25WbntptUNZ/f2qhXcVlxx2MXkbijxEpEkte6dXD00fDss9C/P7z4IhxwQLuntVXz1F5Pq+bj9KafSGJSYiUiyWn1avjpT+H112HIEHjlFdh33w6d2lbNU6Skq3nZm5bH6U0/kcSkGisRST4ff+yNVK1YAd//Pjz3HAwe7NvlQxUhisuKWVmzkiHZQygpKKFwROFW+/tl9GPDpg3UN9VvOU81ViI9Q1s1VkqsRCS5VFTAMcfAf/8L+fmwcCHsskunLtFa4tTeOdsWq6enprND+g6sq1vX4euISPDaSqx6xToYEZHAvPYanHACrF8PP/uZ1/xzhx06dYltE6TmHlZAm0lRpGL1zY2byUrPYu3ktZ2KQUTil2qsRCQ5LFrkTf+tX+8tpPz0051OqqD1Hlbtvc2nYnWR5KDESkQS38yZMGoU1NbCeed5a//16dOlS7WWCFXVVG21xM22zT5VrC6SHJRYiUjicg5uuw3OPtvrrH7VVXD//dCr61UQrSVChm23xE3L5ErL0ogkByVWIpKYGhth4kSYPNn7fMcd3q+U7v2111o7hW0bg247PahlaUSSg4rXRSTx1NXB2LEwezakp8PDD8MZZ/hy6eZEqOVbga0tvrzttGHhiEIlUiIJTiNWIpJYmrupz57trfu3aJFvSVWoIkTe1DzOmX0OAI+c8giVkypb7bau+imR5KMRKxFJHJWVcPzx8MEHXsPPhQth7719uXRbbRZKCkoiLqis+imR5KMRKxFJDG+/DYce6iVVI0Z4S9X4lFRB220WVD8lIs00YiUiPd9TT8FZZ8FXX8GRR8KTT3rTgD5qrw+V6qdEBDRiJSI9mXMwdSqMHu0lVWef7U3/+ZxUgfpQiUjHKLESkZ6pvh7Gj4crr4SmJpgyBWbMgN69o3I79aESkY7QVKCI9Dzr18Ppp8Nzz3mJ1EMPwZlnRvWWkdosaNFkEdmWOefaPyrK8vPzXXl5edBhiEhP8PHHcOKJXpH6gAEwdy4cckjQUYlIEjGzxc65/EjfaSpQRHqOV16Bgw/2kqq994Y33lBSJSJxRYmViPQM06dDQQFUV3u9ql59FfLygo5KRGQrSqxEJL41NMCkSXDeebB5M1x+OcybBzvuGHRkIiLbUfG6iMSvtWu95WheeAHS0uDuu6GoKOioRERapcRKROLTkiUwZoy3TM3AgfDEE3D44UFHJSLSJk0Fikj8mTULDjvMS6oOPBDKy5VUiUiPoMRKROJHYyPceKM3/VdbC+eeCy+/7C2oLCLSA2gqUETiw5dfwtixsGABpKbCHXfAFVeAWdCRiYh0WLcSKzOrBDYCjUCDcy7fzPoBfwfygErgdOfcl90LU0QS2ttvw89/DitWQL9+3lRgQUHQUYmIdJofU4FHOuf2a9GB9HqgzDk3HCgLfxYRiez+++HQQ72k6oADYPFiJVUi0mNFo8ZqNDA9vD0dGBOFe4hIT1dXBxdcABddBJs2wcUXe53V1fRTRHqw7iZWDnjWzBabWXNzmYHOudUA4d8HRDrRzIrMrNzMytesWdPNMESkR1m+3BulevBByMjwuqrfey/06RN0ZCIi3dLd4vXDnXOfmdkA4Dkz+6CjJzrnSoFS8BZh7mYcItJTzJ0L48ZBTQ3ssYfXn2qffYKOSkTEF90asXLOfRb+/QvgSeAg4HMz2xUg/PsX3Q1SRBJAfT1Mnuw1/aypgZNP9vpTKakSkQTS5cTKzPqa2Q7N28AxwLvAPGBc+LBxwNzuBikiPdyKFfCTn8Btt3mtFG6/3Rupys4OOjIREV91ZypwIPCkeT1megH/65x7xszeAmaZ2YXASuC07ocpIj3WY495BeobNsBuu8HMmeqiLiIJq8uJlXPuP8C+EfZXA3pXWiTZ1dXBlVfCX//qfR4zxmut0K9foGGJiESTOq+LiP+WLvWWpVm6FHr39rqoX3qpuqiLSMJTYiUi/nHOG5W64gpvxGrPPeHRR2G//YKOTEQkJrQIs4j4o7oaTjsNfvELL6k67zzvrT8lVSKSRDRiJSLdt2gRnH8+rF4NO+wA06Z5CyqLiCQZjViJSNfV1sLll8Nxx3lJ1Y9/DO+8o6RKRJKWEisR6Zp//ctbNPnuuyEtDX7/e3jpJa31JyJJTVOBItI5jY1w661w003Q0AA/+AHMmAE/+lHQkYmIBE6JlYh03EcfebVUr77qfb78cvjDH7yFlEVERFOBItIBTU0wdSrsu6+XVO26KzzzDPzpT0qqRERa0IiViLTto4/gggvglVe8z2PHwl13qYO6iEgEGrESkchajlK98gp85zswdy488oiSKhGRVmjESkS2p1EqEZEu0YiViHyrsVGjVCIi3aARKxHxLFniLUfz1lveZ41SiYh0mkasRJJdbS1cd53X7POtt2DQIJg3T6NUIiJdoBErkWT27LNwySWwYgWYeX2pfvtb2HHHoCMTEemRlFiJJKMvvoCrroJQyPu8zz5QWgoHHxxsXCIiPZymAkWSiXPw0EPeMjShEPTp43VOLy9XUiUi4gONWIkkiyVL4LLLvm2hcPTRcM89MGxYsHGJiCQQjViJJLr162HiRG+R5FdegQEDvML0RYuUVImI+EyJlUiiamqC6dNhzz29Nf0ArrgCli3zWimYBRufiEgC0lSgSCJasgQmTPAWTAY4/HD4y1+8xp8iIhI1GrESSSRffumNSv3oR15SNWCAN2r1j38oqRIRiQElViKJoL4e7r4b9tgD/vxnb1/ztN+552raT0QkRjQVKNLTLVzo9aT64APv8xFHfLven4iIxJRGrER6qqVL4bjjYORIL6kaNgyefBJeeEFJlYhIQJRYifQ0a9d6hen77uu1TMjOhttv9xKtMWM07SciEiBNBYr0FHV1Xh1VSQnU1EBKCowfD1OmQP/+QUcnIiIosRKJfw0N8PDDcPPNsGqVt+/YY+GOO+CHPww2NhER2YoSK5F45RzMmwc33gjvveft228/uOUWL7ESEZG4o8RKJB698gpcdx289pr3eehQbwrwjDO8KUAREYlLSqxE4klFBRQXw/z53uf+/eFXv4KLL4b09GBjExGRdimxEokH773nFaHPmuV97tsXrrkGrr4adtgh2NhERKTDlFiJBGnZMvjNb2DmTK+mKj0diorgl7+EgQODjk5ERDpJiZVIED7+2EuoZsyApiZIS4OLLvIK1QcPDjo6ERHpIiVWIrFUWQm//S089BA0NkKvXnDhhV5dVW5u0NGJiEg3KbESiYUPP/TaJDzyiNeXKjUVzj/fm/LbffegoxMREZ8osRKJpiVL4He/g8ce82qoUlJg7Fi46SYYPjzo6ERExGdKrESi4fXXvYTqqae8z2lpcN55MHky7LFHoKGJiEj0KLES8Ytz8MILXiPPF1/09mVkeG/5XXONitJFRJKAEiuR7mpogNmz4fbb4a23vH077giXXQaTJmmBZBGRJKLESqSrNm6EBx6AqVO9t/0AdtkFrrwSJkyA7OwgoxMRkQAosRLprE8/hT//Ge69F2pqvH3Dh8NVV8G550JmZrDxiYhIYJRYiXTUkiVwxx1el/SGBm/fj3/sLTszapTXQkFERJKaEiuRtjQ0wLx5cPfd3xakp6TAaad5CdXBBwcbn4iIxJWoJVZmdhxwF5AK3OecuyVa9xLx3dq18Le/wT33wCefePv69vW6pE+aBEOHBhqeiIjEp6gkVmaWCvwFOBpYBbxlZvOcc+9F434ivlm82BudmjkTNm3y9g0f7r3hN26cCtJFRKRN0RqxOghY7pz7D4CZPQqMBpRYSfzZvBkef9xLqF5/3dtnBiecAJdfDkcf7U3/iYiItCNaidUg4JMWn1cBKkaR+PLhh3Dffd6CyGvWePuys73pvksvhWHDAg1PRER6nmglVhZhn9vqALMioCj88SszWxalWFraBVgbg/tIx8XXM6mpgTvv9H4lt/h6LgJ6JvFKzyX+xOKZ5Lb2RbQSq1XAbi0+DwY+a3mAc64UKI3S/SMys3LnXH4s7ylt0zOJT3ou8UfPJD7pucSfoJ9JtApH3gKGm9lQM0sHzgTmReleIiIiInEhKiNWzrkGM7sMWITXbuEB59zSaNxLREREJF5ErY+Vc24BsCBa1++imE49SofomcQnPZf4o2cSn/Rc4k+gz8Scc+0fJSIiIiLtUnMeEREREZ8kRWJlZseZ2TIzW25m1wcdT7Iys93M7EUze9/MlprZxPD+fmb2nJl9FP5956BjTTZmlmpmb5vZU+HPeiYBMrOdzOxxM/sg/OflUD2T4JnZleG/u941s5lm1kfPJfbM7AEz+8LM3m2xr9XnYGY3hH/+LzOzY6MdX8InVi2W1zke2As4y8z2CjaqpNUAXO2c+wFwCDAh/CyuB8qcc8OBsvBnia2JwPstPuuZBOsu4Bnn3PeBffGejZ5JgMxsEHAFkO+c2xvvxawz0XMJwkPAcdvsi/gcwj9jzgR+GD5nWjgviJqET6xosbyOc24z0Ly8jsSYc261c+5f4e2NeD8sBuE9j+nhw6YDYwIJMEmZ2WDgBOC+Frv1TAJiZjsC/wPcD+Cc2+ycW4+eSTzoBWSYWS8gE68/o55LjDnnXgbWbbO7tecwGnjUObfJObcCWI6XF0RNMiRWkZbXGRRQLBJmZnnA/sAbwEDn3Grwki9gQIChJaOpwGSgqcU+PZPg7A6sAR4MT8/eZ2Z90TMJlHPuU+B2YCWwGqhxzj2Lnku8aO05xDwHSIbEqt3ldSS2zCwLeAKY5JzbEHQ8yczMTgS+cM4tDjoW2aIX8CPgHufc/sDXaHopcOGandHAUOC7QF8zGxtsVNIBMc8BkiGxand5HYkdM0vDS6pCzrnZ4d2fm9mu4e93Bb4IKr4kdDhwkplV4k2T/8zMZqBnEqRVwCrn3Bvhz4/jJVp6JsE6CljhnFvjnKsHZgOHoecSL1p7DjHPAZIhsdLyOnHCzAyvbuR951zLVY7nAePC2+OAubGOLVk5525wzg12zuXh/dl4wTk3Fj2TwDjn/gt8YmZ7hncVAO+hZxK0lcAhZpYZ/rusAK9OVM8lPrT2HOYBZ5pZbzMbCgwH3oxmIEnRINTMRuLVkTQvr1MSbETJycx+DPwDqODbep4b8eqsZgFD8P7yOs05t21hokSZmR0BXOOcO9HMctAzCYyZ7Yf3MkE68B/gfLx/COuZBMjMpgBn4L3h/DZwEZCFnktMmdlM4AhgF+Bz4GZgDq08BzMrBi7Ae26TnHMLoxpfMiRWIiIiIrGQDFOBIiIiIjGhxEpERETEJ0qsRERERHyixEpERETEJ0qsRERERHyixEpERETEJ0qsRERERHyixEpERETEJ/8fKTYEGgHFDtUAAAAASUVORK5CYII=\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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" ] @@ -541,7 +591,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -552,7 +602,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -562,7 +612,7 @@ " ('linearregression', LinearRegression())])" ] }, - "execution_count": 9, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } @@ -575,7 +625,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -584,7 +634,7 @@ "4" ] }, - "execution_count": 10, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, @@ -615,7 +665,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 13, "metadata": {}, "outputs": [ {