{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "f8d81d99-cf3d-4c14-a180-9b73c36d17f1", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from numpy.random import uniform\n", "from numpy.linalg import norm\n", "from sklearn.model_selection import train_test_split\n", "from tqdm import tqdm" ] }, { "cell_type": "code", "execution_count": 2, "id": "59cc495b-d0a2-421d-b520-a8e4eb6c5712", "metadata": {}, "outputs": [], "source": [ "def descente_gradient_auto(f,x0, n_étapes=15, ε=0.1, verbose = False,*, old_x=None, old_y=None):\n", "\timport mygrad as mg\n", "\tif old_x is None and old_y is None:\n", "\t\ttry: \n", "\t\t\tlen(x0)\n", "\t\texcept:\n", "\t\t\tx0 = np.array([x0])\n", "\t\tx_vect = [x0]\n", "\t\ty_vect = [f(x0)]\n", "\telse:\n", "\t\tprint()\n", "\t\tx_vect = old_x\n", "\t\ty_vect = old_y\n", "\tx = mg.tensor(x_vect[-1])\n", "\tit = tqdm(range(1,n_étapes), desc=\"Déscente de gradient, étape \", disable = not verbose)\n", "\tfor i in it:\n", "\t\tx = mg.tensor(x_vect[-1])\n", "\t\tf(x).backward()\n", "\t\tif verbose and i % int(n_étapes / 100 +1) == 0:\n", "\t\t\tit.set_description(f\"Déscente de gradient, ||grad||_∞ : {ε * np.linalg.norm(x.grad,np.inf) :.3e}\")\n", "\t\tif np.linalg.norm(x.grad,np.inf) == 0:\n", "\t\t\tfrom warnings import warn\n", "\t\t\twarn(\"Le gradient est trivial ! Il faudrait peut-être réduire théta pour pouvoir descendre\")\n", "\t\t\tbreak\n", "\t\tx_vect.append(x - ε*np.asarray(x.grad))\n", "\t\ty_vect.append(f(x_vect[-1]))\n", "\treturn np.array(x_vect), np.array(y_vect)" ] }, { "cell_type": "markdown", "id": "ea82c39a-f481-471b-b24c-a2be97abaa9a", "metadata": {}, "source": [ "# Biais / phénomènes à regarder" ] }, { "cell_type": "markdown", "id": "5604feea-5e6c-45bc-990a-aa05c3dc20c4", "metadata": { "tags": [] }, "source": [ "## Pas de garanties de descente en toute généralité" ] }, { "cell_type": "code", "execution_count": 3, "id": "886c0adb-150a-48bd-98c5-38c9000f249a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f = lambda x : np.sin(x) + 1/20 * np.sin(50*x)\n", "x = np.linspace(-10,10,500)\n", "y = f(x)\n", "plt.plot(x,y, c=\"r\")\n", "x,y = descente_gradient_auto(f, x0=0.5, ε = np.random.random(), n_étapes=30)\n", "plt.scatter(x,y, c=\"black\")\n", "plt.show()\n", "# plt.plot(y, label=\"Évolution des valeurs de f\")\n", "# plt.title(\"La descente qui monte\")\n", "# plt.legend()\n", "# plt.show()" ] }, { "cell_type": "markdown", "id": "200a317c-01c0-4ab5-b380-41f74656a51e", "metadata": {}, "source": [ "# Méthodes de pertes (fin)" ] }, { "cell_type": "markdown", "id": "62729d68-c65a-41e1-ab88-69f15b8b2569", "metadata": {}, "source": [ "## MNIST" ] }, { "cell_type": "markdown", "id": "bc389588-c2cf-49d6-92c5-67f325ead04d", "metadata": {}, "source": [ "### Classification d'un chiffre" ] }, { "cell_type": "code", "execution_count": 39, "id": "2c5a30f9-66b0-4830-921f-ce5fb8a20c39", "metadata": {}, "outputs": [], "source": [ "import urllib\n", "url = \"https://s3.amazonaws.com/img-datasets/mnist.npz\"\n", "path= \"mnist.npz\"\n", "urllib.request.urlretrieve(url, path)\n", "import numpy as np\n", "\n", "with np.load(path, allow_pickle=True) as f:\n", " train_x, train_y = f['x_train'], f['y_train']\n", " test_x, test_y = f['x_test'], f['y_test']" ] }, { "cell_type": "code", "execution_count": 5, "id": "22b0e223-4ba9-4508-be7f-8a7c21cb37e0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, '3')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "k = np.random.randint(len(train_x))\n", "plt.imshow(train_x[k])\n", "plt.title(train_y[k])" ] }, { "cell_type": "code", "execution_count": 6, "id": "578d210f-3382-4331-bb5b-cfed1abea421", "metadata": {}, "outputs": [], "source": [ "logistic = lambda x : 1/(1+np.exp(-x))\n", "dlogistic = lambda x : np.exp(-x)/(1+np.exp(-x))**2\n", "chiffre_préféré = 1\n", "def loss(theta, X, Y, batch_size=-1, chiffre_préféré = chiffre_préféré):\n", "\t# num_data = len(Y)\n", "\t# num_features = len(theta) -1 # La dernière coordonnée est constante\n", "\t# flattened_X = X.reshape(num_data, -1)\n", "\t# assert X.shape[1] == num_features\n", "\tif batch_size <= 0:\n", "\t\tpredictions = logistic(X@theta[:-1] + theta[-1])\n", "\t\tvérités = Y.reshape((len(Y),1)) == chiffre_préféré\n", "\t\treturn np.mean((predictions - vérités)**2) # le modèle\n", "\telse:\n", "\t\tbatch_indices = np.random.choice(len(train_x), batch_size, replace = False) # on choisit des indices aléatoirement\n", "\t\treturn loss(theta, X[batch_indices], Y[batch_indices])\n", "\n", "# pour tester que ça marche !\n", "\t# return Y.reshape((len(Y),1))\n", "\t# return flattened_X @theta[:-1]\n", "# k = 2\n", "# loss(theta, train_x[:k], train_y[:k])" ] }, { "cell_type": "code", "execution_count": 7, "id": "cee13301-19ff-4536-9f74-bf8dd2999796", "metadata": {}, "outputs": [], "source": [ "batch_size = 100\n", "train_loss = lambda theta : loss(theta, train_x.reshape(len(train_x),-1), train_y.reshape(-1,1), batch_size=batch_size)" ] }, { "cell_type": "code", "execution_count": 8, "id": "ab55fe63-375d-49a3-99dd-2b06d2a8562e", "metadata": {}, "outputs": [], "source": [ "x = [np.zeros(shape = (np.prod(train_x[0].shape)+1,1))]\n", "y = [train_loss(x[0])]" ] }, { "cell_type": "code", "execution_count": 9, "id": "3d7bafc0-bf43-455e-add1-20208de306bf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Déscente de gradient, ||grad||_∞ : 3.997e-08: 100%|██████████| 4999/4999 [00:13<00:00, 358.08it/s]\n" ] } ], "source": [ "theta = x[-1]\n", "x,y = descente_gradient_auto(train_loss, theta, n_étapes = 5000, ε = 1e-8, verbose=1, old_x = list(x), old_y = list(y))" ] }, { "cell_type": "code", "execution_count": 10, "id": "bb2416df-736e-4dfd-ad3b-b52f03bf3cb7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(y, label = \"train loss\")\n", "num_test_data = len(test_y)\n", "test_indices = np.linspace(0,len(x)-1, 200, dtype=int)\n", "plt.plot(test_indices,[loss(truc, test_x.reshape(num_test_data,-1), test_y.reshape(-1,1)) for i,truc in enumerate(x) if i in test_indices], label = \"test loss\")\n", "plt.legend()\n", "plt.plot()" ] }, { "cell_type": "code", "execution_count": 11, "id": "e9155999", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Précision sur les données de test : 94.39%\n" ] } ], "source": [ "last_theta = x[-1]\n", "prédictions = logistic(test_x.reshape(len(test_x),-1)@last_theta[:-1] + last_theta[-1]) > .5\n", "vérités = test_y.reshape(-1,1) == chiffre_préféré\n", "accuracy = np.mean(prédictions == vérités )\n", "print(f\"Précision sur les données de test : {accuracy*100:.4}%\")" ] }, { "cell_type": "markdown", "id": "9bde3877-7d84-4a31-a927-8c4a7f595802", "metadata": {}, "source": [ "### Classification de plusieurs chiffres" ] }, { "cell_type": "markdown", "id": "a18bcd03-3d58-4252-8191-1e39c81063d9", "metadata": {}, "source": [ "Il faut entrainer 10 classifieurs en même temps ! " ] }, { "cell_type": "code", "execution_count": 12, "id": "4cb52c89-173a-4910-8a5d-4529bbd4b8aa", "metadata": {}, "outputs": [], "source": [ "logistic = lambda x : 1/(1+np.exp(-x))\n", "dlogistic = lambda x : np.exp(-x)/(1+np.exp(-x))**2\n", "def loss(theta, X, Y, batch_size=-1):\n", "\tif batch_size <= 0:\n", "\t\tprédictions = logistic(X@theta[:-1] + theta[-1]).T\n", "\t\tvérités = np.asarray([Y.reshape((len(Y),1)) == chiffre for chiffre in range(10)]).squeeze()\n", "\t\t# return prédictions, vérités\n", "\t\treturn np.mean((prédictions - vérités)**2, axis=None) # le modèle\n", "\telse:\n", "\t\tbatch_indices = np.random.choice(len(train_x), batch_size)\n", "\t\treturn loss(theta, X[batch_indices], Y[batch_indices])\n", "\n", "train_loss = lambda theta : loss(theta, train_x.reshape(len(train_x),-1), train_y.reshape(-1,1), batch_size=batch_size)" ] }, { "cell_type": "code", "execution_count": 13, "id": "6fc2710a-6ce6-4b81-83a3-024731d88f45", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(785, 10)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = [np.zeros(shape = (np.prod(train_x[0].shape)+1,10))]\n", "y = [train_loss(x[0])]\n", "x[0].shape" ] }, { "cell_type": "code", "execution_count": 14, "id": "cd51ea6b-d5af-4154-95d4-349dbaa40069", "metadata": {}, "outputs": [], "source": [ "# pred_, true_ = loss(x[-1], train_x.reshape(len(train_y),-1), train_y.reshape(-1,1), batch_size=2)" ] }, { "cell_type": "code", "execution_count": 15, "id": "a674b154-c6e4-479a-8b8a-3262971790e4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Déscente de gradient, ||grad||_∞ : 4.386e-08: 100%|██████████| 9999/9999 [00:20<00:00, 484.65it/s]\n" ] } ], "source": [ "batch_size = 200\n", "theta = x[-1]\n", "x,y = descente_gradient_auto(train_loss, theta, n_étapes = 10_000, ε = 1e-8, verbose=1, old_x=list(x), old_y=list(y))" ] }, { "cell_type": "code", "execution_count": 16, "id": "e44da033-2802-4652-8326-7f5918fce11a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(y, label = \"train loss\")\n", "num_test_data = len(test_y)\n", "test_indices = np.linspace(0,len(x)-1, 200, dtype=int)\n", "plt.plot(test_indices,[loss(truc, test_x.reshape(num_test_data,-1), test_y.reshape(-1,1)) for i,truc in enumerate(x) if i in test_indices], label = \"test loss\")\n", "plt.legend()\n", "plt.plot()" ] }, { "cell_type": "code", "execution_count": 17, "id": "2a44872b-7460-4522-ad48-a47f46061088", "metadata": {}, "outputs": [], "source": [ "theta = x[-1]" ] }, { "cell_type": "code", "execution_count": 18, "id": "e91c3ed8-3286-4968-b657-73bd96815621", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Chiffre prédit : 0 versus le vrai chiffre : 5\n" ] } ], "source": [ "k = np.random.choice(len(test_x))\n", "x_ = test_x[k].flatten()\n", "y_ = test_y[k]\n", "prédictions = logistic(x_@theta[:-1] + theta[-1]).T\n", "# vérités = np.asarray(y_[y_.reshape((len(y_),1)) == chiffre for chiffre in range(10)]).squeeze()# loss(theta, x_,np.array([y_ == i for i in range(10)]))\n", "print(f\"Chiffre prédit : {np.argmax(prédictions)} versus le vrai chiffre : {y_}\") # Prédiction vs vérité" ] }, { "cell_type": "code", "execution_count": 19, "id": "202849f2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Précision sur les données de test : 70.62%\n" ] } ], "source": [ "prédictions = np.argmax(logistic(test_x.reshape(len(test_x), -1)@theta[:-1] + theta[-1]), axis=1)\n", "vérités = test_y\n", "accuracy = np.mean(prédictions == vérités )\n", "print(f\"Précision sur les données de test : {accuracy*100:.4}%\")" ] }, { "cell_type": "markdown", "id": "6dcbd12d-4628-43a3-8940-bd7b380611b9", "metadata": {}, "source": [ "Évidement, comme vu dans le cours, il ne **FAUT PAS** prendre ce modèle, il n'apprend que la \"densité\" de chaque chiffre !\n", "Par exemple, il n'est pas \n", " - invariant par translations\n", " - invariant par rotation\n", " \n", "qui sont des propriétés **essentielles** pour la reconnaissance de caractères !" ] }, { "cell_type": "markdown", "id": "fdd98ea0", "metadata": {}, "source": [ "## Petit réseau de neurones " ] }, { "cell_type": "code", "execution_count": 20, "id": "2a531a35", "metadata": {}, "outputs": [], "source": [ "import torch\n", "def relu(x):\n", " x[x<=0] = 0\n", " x[x>=1] = 1\n", " return x\n", "logistic = lambda x : 1/(1+np.e**(-x))\n", "def linear_relu(x,A,b):\n", " return relu(linear(x,A,b))\n", "def linear_logistic(x,A,b):\n", " return logistic(linear(x,A,b))\n", "def linear(x,A,b):\n", " return x@A + b\n", "def softmax(x):\n", " x = np.e**x\n", " return x / x.sum()\n", "def model(x, As,bs):\n", " a1,a2,a3=As\n", " b1,b2,b3 = bs\n", " return softmax(linear_logistic(linear_relu(linear_logistic(x/x.max(),a1, b1),a2,b2), a3,b3))\n", "r1,r2,r3 = 150,500,10\n", "AAA = [torch.rand(28*28, r1, requires_grad=True)/(28*28), torch.rand(r1,r2, requires_grad=True)/r2, torch.rand(r2,r3, requires_grad=True)]\n", "BBB = [torch.rand((r1), requires_grad=True)/r1, torch.rand(r2, requires_grad=True)/r2, torch.rand(r3, requires_grad=True)]" ] }, { "cell_type": "code", "execution_count": 21, "id": "ae8b0821", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(tensor([[0., 0., 0., ..., 0., 0., 0.],\n", " [0., 0., 0., ..., 0., 0., 0.],\n", " [0., 0., 0., ..., 0., 0., 0.],\n", " ...,\n", " [0., 0., 0., ..., 0., 0., 0.],\n", " [0., 0., 0., ..., 0., 0., 0.],\n", " [0., 0., 0., ..., 0., 0., 0.]]),\n", " tensor([[-1.1194e-21, -6.3921e-22, -1.1305e-21, ..., -7.7728e-22,\n", " -9.9829e-22, -6.2438e-22],\n", " [-1.1176e-21, -6.3820e-22, -1.1287e-21, ..., -7.7605e-22,\n", " -9.9671e-22, -6.2339e-22],\n", " [-1.1208e-21, -6.4001e-22, -1.1319e-21, ..., -7.7824e-22,\n", " -9.9953e-22, -6.2516e-22],\n", " ...,\n", " [-1.1219e-21, -6.4069e-22, -1.1331e-21, ..., -7.7907e-22,\n", " -1.0006e-21, -6.2582e-22],\n", " [-1.1228e-21, -6.4116e-22, -1.1339e-21, ..., -7.7965e-22,\n", " -1.0013e-21, -6.2628e-22],\n", " [-1.1182e-21, -6.3857e-22, -1.1293e-21, ..., -7.7649e-22,\n", " -9.9728e-22, -6.2375e-22]]),\n", " tensor([[-2.7450e-23, -3.2263e-23, -3.0794e-23, ..., -3.8401e-23,\n", " -3.4044e-23, -2.3558e-23],\n", " [-2.4471e-23, -2.8762e-23, -2.7452e-23, ..., -3.4233e-23,\n", " -3.0349e-23, -2.1002e-23],\n", " [-2.5688e-23, -3.0192e-23, -2.8817e-23, ..., -3.5935e-23,\n", " -3.1859e-23, -2.2046e-23],\n", " ...,\n", " [-2.7729e-23, -3.2591e-23, -3.1107e-23, ..., -3.8791e-23,\n", " -3.4390e-23, -2.3798e-23],\n", " [-2.9257e-23, -3.4386e-23, -3.2821e-23, ..., -4.0928e-23,\n", " -3.6285e-23, -2.5109e-23],\n", " [-2.6291e-23, -3.0901e-23, -2.9494e-23, ..., -3.6780e-23,\n", " -3.2607e-23, -2.2564e-23]]),\n", " tensor([-2.0598e-22, -2.1764e-22, -2.0956e-22, -2.2123e-22, -2.1662e-22,\n", " -2.1857e-22, -2.1236e-22, -2.1176e-22, -2.1740e-22, -2.1489e-22,\n", " -1.9912e-22, -2.1639e-22, -2.1721e-22, -2.1160e-22, -2.1023e-22,\n", " -2.1117e-22, -2.2175e-22, -2.1425e-22, -2.0588e-22, -2.1703e-22,\n", " -2.0877e-22, -2.0500e-22, -2.1696e-22, -2.0879e-22, -2.1356e-22,\n", " -2.0692e-22, -2.0818e-22, -2.1151e-22, -2.1635e-22, -2.1282e-22,\n", " -2.0407e-22, -2.1801e-22, -2.0646e-22, -2.2334e-22, -2.1785e-22,\n", " -2.0983e-22, -2.2823e-22, -2.0837e-22, -2.1395e-22, -2.0001e-22,\n", " -2.0777e-22, -2.2156e-22, -2.1351e-22, -2.0696e-22, -2.1170e-22,\n", " -2.1132e-22, -2.0855e-22, -2.1557e-22, -2.1825e-22, -2.0230e-22,\n", " -2.1437e-22, -2.1227e-22, -2.1039e-22, -2.1296e-22, -2.1779e-22,\n", " -2.1706e-22, -2.1106e-22, -2.0642e-22, -2.1099e-22, -2.1556e-22,\n", " -2.2334e-22, -2.1993e-22, -2.1357e-22, -2.1882e-22, -2.0787e-22,\n", " -2.1346e-22, -2.0376e-22, -2.1523e-22, -2.1182e-22, -2.1455e-22,\n", " -2.2235e-22, -2.1888e-22, -2.1430e-22, -2.0726e-22, -2.1585e-22,\n", " -2.0808e-22, -2.0851e-22, -2.1016e-22, -2.0648e-22, -2.1489e-22,\n", " -2.0671e-22, -2.1436e-22, -2.0556e-22, -2.1057e-22, -2.0800e-22,\n", " 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-2.0393e-21,\n", " -1.6035e-21, -1.5144e-21, -1.3919e-21, -1.4017e-21, -1.0396e-21,\n", " -1.3615e-21, -1.9536e-21, -1.4909e-21, -1.6665e-21, -1.8031e-21,\n", " -1.9259e-21, -1.8551e-21, -1.4648e-21, -2.3235e-21, -1.3148e-21,\n", " -1.8725e-21, -1.9671e-21, -1.9579e-21, -1.6517e-21, -1.3563e-21,\n", " -9.1264e-22, -2.2915e-21, -2.3218e-21, -2.2112e-21, -1.9307e-21,\n", " -1.9029e-21, -2.0184e-21, -7.4462e-22, -1.1452e-21, -1.5837e-21,\n", " -1.6616e-21, -1.6414e-21, -1.7929e-21, -1.7585e-21, -1.4083e-21,\n", " -1.5827e-21, -1.5950e-21, -1.3701e-21, -1.2873e-21, -1.8143e-21,\n", " -1.5585e-21, -1.8996e-21, -1.4749e-21, -1.9881e-21, -1.6788e-21,\n", " -1.9593e-21, -2.3275e-21, -1.7579e-21, -2.0519e-21, -1.2867e-21,\n", " -2.1459e-21, -1.7599e-21, -1.6872e-21, -8.7062e-22, -6.9597e-22,\n", " -1.7935e-21, -1.2946e-21, -2.2685e-21, -1.3775e-21, -1.7090e-21,\n", " -1.0792e-21, -1.8030e-21, -1.8226e-21, -1.3806e-21, -1.1214e-21,\n", " -1.6295e-21, -2.2708e-21, -2.3861e-21, -1.5858e-21, -1.2763e-21,\n", " -1.2997e-21, -1.7203e-21, -1.5057e-21, -1.9339e-21, -1.2096e-21]),\n", " tensor([-3.4680e-22, -4.0759e-22, -3.8902e-22, -4.8349e-22, -2.6941e-22,\n", " -1.6070e-22, -1.3462e-22, -4.8511e-22, -4.3008e-22, -2.9763e-22]))" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x0 = torch.from_numpy(test_x.reshape(len(test_x),-1)).type(torch.float32)\n", "prediction = model(x0, AAA,BBB)\n", "import torch.nn\n", "vérités = torch.nn.functional.one_hot(torch.from_numpy(test_y).type(torch.int64),num_classes=10)\n", "erreur = (prediction - vérités).mean()\n", "torch.autograd.grad(erreur, [*AAA, *BBB]) # Les gradients de tous les As et tous les bs\n", "# Et il faut continuer avec une descente de gradient + calibrer le learning rate ..." ] }, { "cell_type": "markdown", "id": "2c5b33ca-3896-4ad5-bda1-d0f0d6d2a303", "metadata": { "tags": [] }, "source": [ "# Méthodes locales\n", "## Méthodes basée sur les plus proches voisins" ] }, { "cell_type": "markdown", "id": "42ced589-73b7-48fe-8762-478f59023b7e", "metadata": { "tags": [] }, "source": [ "### Jeu de donnée : Anneau bruité" ] }, { "cell_type": "code", "execution_count": 41, "id": "cd94c834-6f4e-4d05-a47f-1df881ed0b2c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ " # Remarque : On peut générer des points sur un anneau de manière bien plus efficace \n", " #(cf Bercu-Chafai : Modélisation Stochastique et Simulations)\n", "def anneau_bruité(n_anneau, n_bruit, dim=2, r1=1, r2=1.5, centre=None):\n", " set =[]\n", " while len(set) r1 and norm(draw) < r2:\n", " set.append(draw)\n", " annulus = np.array(set) if centre == None else np.array(set) + np.array(centre)\n", " y_anneau = np.ones(shape = (n_anneau))\n", " diffuse_noise = uniform(size=(n_bruit,dim), low=-1.5*r2,high=1*r2*1.5)\n", " y_bruit = np.zeros(shape = (n_bruit))\n", " if centre is not None:\tdiffuse_noise += np.array(centre)\n", " return np.vstack([annulus, diffuse_noise]), np.hstack([y_anneau, y_bruit])\n", "data, labels = anneau_bruité(5000,1000)\n", "plt.scatter(data[:,0], data[:,1], c=labels)" ] }, { "cell_type": "markdown", "id": "e618ae66-4270-4dfb-b2f8-dc864b0c5dcd", "metadata": {}, "source": [ "## Prédiction par plus proches voisins" ] }, { "cell_type": "code", "execution_count": 81, "id": "d864cbab", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(10000, 2)" ] }, "execution_count": 81, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pts.shape" ] }, { "cell_type": "code", "execution_count": 83, "id": "950cd0ce", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2200,)" ] }, "execution_count": 83, "metadata": {}, "output_type": "execute_result" } ], "source": [ "votes.shape" ] }, { "cell_type": "code", "execution_count": 84, "id": "6ebebeb7", "metadata": {}, "outputs": [ { "ename": "ValueError", "evalue": "'c' argument has 5 elements, which is inconsistent with 'x' and 'y' with size 10000.", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", "File \u001b[0;32m~/micromamba/envs/python/lib/python3.11/site-packages/matplotlib/axes/_axes.py:4483\u001b[0m, in \u001b[0;36mAxes._parse_scatter_color_args\u001b[0;34m(c, edgecolors, kwargs, xsize, get_next_color_func)\u001b[0m\n\u001b[1;32m 4482\u001b[0m \u001b[39mtry\u001b[39;00m: \u001b[39m# Is 'c' acceptable as PathCollection facecolors?\u001b[39;00m\n\u001b[0;32m-> 4483\u001b[0m colors \u001b[39m=\u001b[39m mcolors\u001b[39m.\u001b[39;49mto_rgba_array(c)\n\u001b[1;32m 4484\u001b[0m \u001b[39mexcept\u001b[39;00m (\u001b[39mTypeError\u001b[39;00m, \u001b[39mValueError\u001b[39;00m) \u001b[39mas\u001b[39;00m err:\n", "File \u001b[0;32m~/micromamba/envs/python/lib/python3.11/site-packages/matplotlib/colors.py:505\u001b[0m, in \u001b[0;36mto_rgba_array\u001b[0;34m(c, alpha)\u001b[0m\n\u001b[1;32m 504\u001b[0m \u001b[39melse\u001b[39;00m:\n\u001b[0;32m--> 505\u001b[0m rgba \u001b[39m=\u001b[39m np\u001b[39m.\u001b[39marray([to_rgba(cc) \u001b[39mfor\u001b[39;49;00m cc \u001b[39min\u001b[39;49;00m c])\n\u001b[1;32m 507\u001b[0m \u001b[39mif\u001b[39;00m alpha \u001b[39mis\u001b[39;00m \u001b[39mnot\u001b[39;00m \u001b[39mNone\u001b[39;00m:\n", "File \u001b[0;32m~/micromamba/envs/python/lib/python3.11/site-packages/matplotlib/colors.py:505\u001b[0m, in \u001b[0;36m\u001b[0;34m(.0)\u001b[0m\n\u001b[1;32m 504\u001b[0m \u001b[39melse\u001b[39;00m:\n\u001b[0;32m--> 505\u001b[0m rgba \u001b[39m=\u001b[39m np\u001b[39m.\u001b[39marray([to_rgba(cc) \u001b[39mfor\u001b[39;00m cc \u001b[39min\u001b[39;00m c])\n\u001b[1;32m 507\u001b[0m \u001b[39mif\u001b[39;00m alpha \u001b[39mis\u001b[39;00m \u001b[39mnot\u001b[39;00m \u001b[39mNone\u001b[39;00m:\n", "File \u001b[0;32m~/micromamba/envs/python/lib/python3.11/site-packages/matplotlib/colors.py:302\u001b[0m, in \u001b[0;36mto_rgba\u001b[0;34m(c, alpha)\u001b[0m\n\u001b[1;32m 301\u001b[0m \u001b[39mif\u001b[39;00m rgba \u001b[39mis\u001b[39;00m \u001b[39mNone\u001b[39;00m: \u001b[39m# Suppress exception chaining of cache lookup failure.\u001b[39;00m\n\u001b[0;32m--> 302\u001b[0m rgba \u001b[39m=\u001b[39m _to_rgba_no_colorcycle(c, alpha)\n\u001b[1;32m 303\u001b[0m \u001b[39mtry\u001b[39;00m:\n", "File \u001b[0;32m~/micromamba/envs/python/lib/python3.11/site-packages/matplotlib/colors.py:391\u001b[0m, in \u001b[0;36m_to_rgba_no_colorcycle\u001b[0;34m(c, alpha)\u001b[0m\n\u001b[1;32m 390\u001b[0m \u001b[39mif\u001b[39;00m \u001b[39mnot\u001b[39;00m np\u001b[39m.\u001b[39miterable(c):\n\u001b[0;32m--> 391\u001b[0m \u001b[39mraise\u001b[39;00m \u001b[39mValueError\u001b[39;00m(\u001b[39mf\u001b[39m\u001b[39m\"\u001b[39m\u001b[39mInvalid RGBA argument: \u001b[39m\u001b[39m{\u001b[39;00morig_c\u001b[39m!r}\u001b[39;00m\u001b[39m\"\u001b[39m)\n\u001b[1;32m 392\u001b[0m \u001b[39mif\u001b[39;00m \u001b[39mlen\u001b[39m(c) \u001b[39mnot\u001b[39;00m \u001b[39min\u001b[39;00m [\u001b[39m3\u001b[39m, \u001b[39m4\u001b[39m]:\n", "\u001b[0;31mValueError\u001b[0m: Invalid RGBA argument: 1.0", "\nThe above exception was the direct cause of the following exception:\n", "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", "\u001b[1;32m/home/dadou/Documents/Gitlab-inria/cours/mathia/TDs/TD4.ipynb Cell 37\u001b[0m line \u001b[0;36m9\n\u001b[1;32m 7\u001b[0m \u001b[39mreturn\u001b[39;00m votes\n\u001b[1;32m 8\u001b[0m votes \u001b[39m=\u001b[39m knn_vote(pts,xtrain,ytrain)\n\u001b[0;32m----> 9\u001b[0m plt\u001b[39m.\u001b[39;49mscatter(pts[:,\u001b[39m0\u001b[39;49m], pts[:,\u001b[39m1\u001b[39;49m], c\u001b[39m=\u001b[39;49mvotes)\n", "File \u001b[0;32m~/micromamba/envs/python/lib/python3.11/site-packages/matplotlib/pyplot.py:3687\u001b[0m, in \u001b[0;36mscatter\u001b[0;34m(x, y, s, c, marker, cmap, norm, vmin, vmax, alpha, linewidths, edgecolors, plotnonfinite, data, **kwargs)\u001b[0m\n\u001b[1;32m 3668\u001b[0m \u001b[39m@_copy_docstring_and_deprecators\u001b[39m(Axes\u001b[39m.\u001b[39mscatter)\n\u001b[1;32m 3669\u001b[0m \u001b[39mdef\u001b[39;00m \u001b[39mscatter\u001b[39m(\n\u001b[1;32m 3670\u001b[0m x: \u001b[39mfloat\u001b[39m \u001b[39m|\u001b[39m ArrayLike,\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 3685\u001b[0m \u001b[39m*\u001b[39m\u001b[39m*\u001b[39mkwargs,\n\u001b[1;32m 3686\u001b[0m ) \u001b[39m-\u001b[39m\u001b[39m>\u001b[39m PathCollection:\n\u001b[0;32m-> 3687\u001b[0m __ret \u001b[39m=\u001b[39m gca()\u001b[39m.\u001b[39;49mscatter(\n\u001b[1;32m 3688\u001b[0m x,\n\u001b[1;32m 3689\u001b[0m y,\n\u001b[1;32m 3690\u001b[0m s\u001b[39m=\u001b[39;49ms,\n\u001b[1;32m 3691\u001b[0m c\u001b[39m=\u001b[39;49mc,\n\u001b[1;32m 3692\u001b[0m marker\u001b[39m=\u001b[39;49mmarker,\n\u001b[1;32m 3693\u001b[0m cmap\u001b[39m=\u001b[39;49mcmap,\n\u001b[1;32m 3694\u001b[0m norm\u001b[39m=\u001b[39;49mnorm,\n\u001b[1;32m 3695\u001b[0m vmin\u001b[39m=\u001b[39;49mvmin,\n\u001b[1;32m 3696\u001b[0m vmax\u001b[39m=\u001b[39;49mvmax,\n\u001b[1;32m 3697\u001b[0m alpha\u001b[39m=\u001b[39;49malpha,\n\u001b[1;32m 3698\u001b[0m linewidths\u001b[39m=\u001b[39;49mlinewidths,\n\u001b[1;32m 3699\u001b[0m edgecolors\u001b[39m=\u001b[39;49medgecolors,\n\u001b[1;32m 3700\u001b[0m plotnonfinite\u001b[39m=\u001b[39;49mplotnonfinite,\n\u001b[1;32m 3701\u001b[0m \u001b[39m*\u001b[39;49m\u001b[39m*\u001b[39;49m({\u001b[39m\"\u001b[39;49m\u001b[39mdata\u001b[39;49m\u001b[39m\"\u001b[39;49m: data} \u001b[39mif\u001b[39;49;00m data \u001b[39mis\u001b[39;49;00m \u001b[39mnot\u001b[39;49;00m \u001b[39mNone\u001b[39;49;00m \u001b[39melse\u001b[39;49;00m {}),\n\u001b[1;32m 3702\u001b[0m \u001b[39m*\u001b[39;49m\u001b[39m*\u001b[39;49mkwargs,\n\u001b[1;32m 3703\u001b[0m )\n\u001b[1;32m 3704\u001b[0m sci(__ret)\n\u001b[1;32m 3705\u001b[0m \u001b[39mreturn\u001b[39;00m __ret\n", "File \u001b[0;32m~/micromamba/envs/python/lib/python3.11/site-packages/matplotlib/__init__.py:1465\u001b[0m, in \u001b[0;36m_preprocess_data..inner\u001b[0;34m(ax, data, *args, **kwargs)\u001b[0m\n\u001b[1;32m 1462\u001b[0m \u001b[39m@functools\u001b[39m\u001b[39m.\u001b[39mwraps(func)\n\u001b[1;32m 1463\u001b[0m \u001b[39mdef\u001b[39;00m \u001b[39minner\u001b[39m(ax, \u001b[39m*\u001b[39margs, data\u001b[39m=\u001b[39m\u001b[39mNone\u001b[39;00m, \u001b[39m*\u001b[39m\u001b[39m*\u001b[39mkwargs):\n\u001b[1;32m 1464\u001b[0m \u001b[39mif\u001b[39;00m data \u001b[39mis\u001b[39;00m \u001b[39mNone\u001b[39;00m:\n\u001b[0;32m-> 1465\u001b[0m \u001b[39mreturn\u001b[39;00m func(ax, \u001b[39m*\u001b[39;49m\u001b[39mmap\u001b[39;49m(sanitize_sequence, args), \u001b[39m*\u001b[39;49m\u001b[39m*\u001b[39;49mkwargs)\n\u001b[1;32m 1467\u001b[0m bound \u001b[39m=\u001b[39m new_sig\u001b[39m.\u001b[39mbind(ax, \u001b[39m*\u001b[39margs, \u001b[39m*\u001b[39m\u001b[39m*\u001b[39mkwargs)\n\u001b[1;32m 1468\u001b[0m auto_label \u001b[39m=\u001b[39m (bound\u001b[39m.\u001b[39marguments\u001b[39m.\u001b[39mget(label_namer)\n\u001b[1;32m 1469\u001b[0m \u001b[39mor\u001b[39;00m bound\u001b[39m.\u001b[39mkwargs\u001b[39m.\u001b[39mget(label_namer))\n", "File \u001b[0;32m~/micromamba/envs/python/lib/python3.11/site-packages/matplotlib/axes/_axes.py:4670\u001b[0m, in \u001b[0;36mAxes.scatter\u001b[0;34m(self, x, y, s, c, marker, cmap, norm, vmin, vmax, alpha, linewidths, edgecolors, plotnonfinite, **kwargs)\u001b[0m\n\u001b[1;32m 4667\u001b[0m \u001b[39mif\u001b[39;00m edgecolors \u001b[39mis\u001b[39;00m \u001b[39mNone\u001b[39;00m:\n\u001b[1;32m 4668\u001b[0m orig_edgecolor \u001b[39m=\u001b[39m kwargs\u001b[39m.\u001b[39mget(\u001b[39m'\u001b[39m\u001b[39medgecolor\u001b[39m\u001b[39m'\u001b[39m, \u001b[39mNone\u001b[39;00m)\n\u001b[1;32m 4669\u001b[0m c, colors, edgecolors \u001b[39m=\u001b[39m \\\n\u001b[0;32m-> 4670\u001b[0m \u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49m_parse_scatter_color_args(\n\u001b[1;32m 4671\u001b[0m c, edgecolors, kwargs, x\u001b[39m.\u001b[39;49msize,\n\u001b[1;32m 4672\u001b[0m get_next_color_func\u001b[39m=\u001b[39;49m\u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49m_get_patches_for_fill\u001b[39m.\u001b[39;49mget_next_color)\n\u001b[1;32m 4674\u001b[0m \u001b[39mif\u001b[39;00m plotnonfinite \u001b[39mand\u001b[39;00m colors \u001b[39mis\u001b[39;00m \u001b[39mNone\u001b[39;00m:\n\u001b[1;32m 4675\u001b[0m c \u001b[39m=\u001b[39m np\u001b[39m.\u001b[39mma\u001b[39m.\u001b[39mmasked_invalid(c)\n", "File \u001b[0;32m~/micromamba/envs/python/lib/python3.11/site-packages/matplotlib/axes/_axes.py:4489\u001b[0m, in \u001b[0;36mAxes._parse_scatter_color_args\u001b[0;34m(c, edgecolors, kwargs, xsize, get_next_color_func)\u001b[0m\n\u001b[1;32m 4487\u001b[0m \u001b[39melse\u001b[39;00m:\n\u001b[1;32m 4488\u001b[0m \u001b[39mif\u001b[39;00m \u001b[39mnot\u001b[39;00m valid_shape:\n\u001b[0;32m-> 4489\u001b[0m \u001b[39mraise\u001b[39;00m invalid_shape_exception(c\u001b[39m.\u001b[39msize, xsize) \u001b[39mfrom\u001b[39;00m \u001b[39merr\u001b[39;00m\n\u001b[1;32m 4490\u001b[0m \u001b[39m# Both the mapping *and* the RGBA conversion failed: pretty\u001b[39;00m\n\u001b[1;32m 4491\u001b[0m \u001b[39m# severe failure => one may appreciate a verbose feedback.\u001b[39;00m\n\u001b[1;32m 4492\u001b[0m \u001b[39mraise\u001b[39;00m \u001b[39mValueError\u001b[39;00m(\n\u001b[1;32m 4493\u001b[0m \u001b[39mf\u001b[39m\u001b[39m\"\u001b[39m\u001b[39m'\u001b[39m\u001b[39mc\u001b[39m\u001b[39m'\u001b[39m\u001b[39m argument must be a color, a sequence of colors, \u001b[39m\u001b[39m\"\u001b[39m\n\u001b[1;32m 4494\u001b[0m \u001b[39mf\u001b[39m\u001b[39m\"\u001b[39m\u001b[39mor a sequence of numbers, not \u001b[39m\u001b[39m{\u001b[39;00mc\u001b[39m!r}\u001b[39;00m\u001b[39m\"\u001b[39m) \u001b[39mfrom\u001b[39;00m \u001b[39merr\u001b[39;00m\n", "\u001b[0;31mValueError\u001b[0m: 'c' argument has 5 elements, which is inconsistent with 'x' and 'y' with size 10000." ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def knn_vote(xtest,xtrain,ytrain):\n", " from sklearn.metrics import pairwise_distances\n", " distances = pairwise_distances(xtest, xtrain)\n", " argknn = np.argsort(distances,axis=1)\n", " votes = [ytrain[argknn[i,:5]] for i in range(len(ytest))]\n", " votes = np.mean(votes, axis=0) > 0.5\n", " return votes\n", "votes = knn_vote(pts,xtrain,ytrain)\n", "plt.scatter(pts[:,0], pts[:,1], c=votes)" ] }, { "cell_type": "code", "execution_count": 42, "id": "82a46df0-d784-42a3-966f-614ac5b171fe", "metadata": {}, "outputs": [], "source": [ "label = lambda x : 1 if (1 <= norm(x) <= 1.5) else 0 # les vrais labels (pour l'entrainement)\n", "\n", "def predict_knn(xtest, k=5, xtrain=data, labels=None):\n", " from sklearn.metrics import pairwise_distances\n", " distances = pairwise_distances(xtest, xtrain)\n", " p = np.argsort(distances,axis=1)\n", " # vote = np.mean([label(truc) for truc in xtrain[p[:k]]]) if labels is None else np.mean(labels[p[:k]])\n", " v\n", " return int(vote>0.5)" ] }, { "cell_type": "code", "execution_count": 43, "id": "5e99217f-bbac-43a4-94ac-248bf9c2aa42", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Le jeu de donnée de test\n", "x = np.linspace(-1.5, 1.5, 100)\n", "y = np.linspace(-1.5, 1.5, 100)\n", "xv, yv = np.meshgrid(x, y)\n", "plt.scatter(xv,yv, s=0.1)\n", "pts = np.vstack([xv.flatten(),yv.flatten()]).T" ] }, { "cell_type": "code", "execution_count": 44, "id": "b73b3840-264d-43ab-af38-fb17617d1720", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(pts[:,0], pts[:,1], c=[predict_knn(pt,k=10, labels=labels) for pt in pts])" ] }, { "cell_type": "code", "execution_count": 27, "id": "87fe4e04-8a94-4edc-8ba5-4537955c4309", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# La vérité\n", "plt.scatter(pts[:,0], pts[:,1], c=[label(pt) for pt in pts])" ] }, { "cell_type": "markdown", "id": "459e66c3-efd0-45ad-9ffc-aa6057acb5d9", "metadata": {}, "source": [ "### Accuracy ?" ] }, { "cell_type": "code", "execution_count": 28, "id": "6bedc687-bb07-402e-9e3a-5c54f20ee336", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.8129" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(np.array([predict_knn(pt, k=10, labels=labels) for pt in pts]) == np.array([label(pt) for pt in pts]))" ] }, { "cell_type": "markdown", "id": "89e0e831-e1f1-4027-9f6f-aa3ea89f42ce", "metadata": {}, "source": [ "## Version sklearn" ] }, { "cell_type": "code", "execution_count": 29, "id": "7689fb0b-9a05-4291-910c-dc38c625b755", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.neighbors import KNeighborsClassifier\n", "clf = KNeighborsClassifier(n_neighbors=10)\n", "clf.fit(data, labels)\n", "trux = clf.predict(pts)\n", "plt.scatter(pts[:,0], pts[:,1], c=trux)" ] }, { "cell_type": "markdown", "id": "9b6dcb4b-1271-4a3d-ba49-8031e110d78e", "metadata": {}, "source": [ "### Accuracy" ] }, { "cell_type": "code", "execution_count": 30, "id": "5a253c29-6614-490b-83cd-0873236777cd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.8129" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "clf.score(pts, [label(pt) for pt in pts])" ] }, { "cell_type": "markdown", "id": "f8a3d30d-25a2-4369-875c-ab1c8a07304c", "metadata": {}, "source": [ "### Choix de k ?" ] }, { "cell_type": "markdown", "id": "6db48e61-afba-4ec7-9cae-f2c2bd0a36bc", "metadata": {}, "source": [ "**Sur les données d'entrainement**, on les découpe (encore) en train/test et on teste la performance d'un jeu de $k$ -> ça permet de choisir un $k$. On réentraine ensuite le classifieur avec ce $k$ sur les données d'entrainement.\n", "\n", "Le \"découpage\" qui donne le plus de garanties théorique est un [k-fold](https://fr.wikipedia.org/wiki/Validation_crois%C3%A9e)" ] }, { "cell_type": "code", "execution_count": 46, "id": "7cea4afc-bb6d-417f-b9e2-5a99ccd9f15e", "metadata": {}, "outputs": [], "source": [ "from sklearn.model_selection import KFold\n", "from sklearn.model_selection import GridSearchCV" ] }, { "cell_type": "code", "execution_count": 47, "id": "1bb2670f-8daa-4d7c-97fc-4f09defa0b15", "metadata": {}, "outputs": [], "source": [ "data, labels = anneau_bruité(10_000,1000)" ] }, { "cell_type": "code", "execution_count": 52, "id": "db6da3a8-1b8d-49a6-aa90-6cb8ec0bc6d1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Precision de k=3 en 5-fold : 97.5 ± 2.318e-01\n", "Precision de k=5 en 5-fold : 97.3 ± 3.037e-01\n", "Precision de k=10 en 5-fold : 97.0 ± 2.951e-01\n", "Precision de k=20 en 5-fold : 96.5 ± 3.365e-01\n", "Precision de k=1 en 5-fold : 96.0 ± 3.051e-01\n", "Precision de k=2 en 5-fold : 94.3 ± 2.416e-01\n" ] } ], "source": [ "ks = [1,2,3,5,10,20]\n", "nsplit = 5\n", "kf = KFold(n_splits=nsplit,shuffle=True)\n", "scores = np.zeros((nsplit, len(ks)))\n", "for i,[train, test] in enumerate(kf.split(data)):\n", " xtrain = data[train]\n", " ytrain = labels[train] #np.array([label(pt) for pt in xtrain])\n", " xtest = data[test]\n", " ytest = labels[test] # np.array([label(pt) for pt in xtest])\n", " for j,k in enumerate(ks):\n", " clf = KNeighborsClassifier(n_neighbors=k)\n", " clf.fit(xtrain, ytrain)\n", " scores[i,j]=clf.score(xtest, ytest)\n", "scores_mean = np.mean(scores, axis=0)\n", "scores_std = np.std(scores, axis=0)\n", "p = np.argsort(scores_mean)[::-1]\n", "print(*[f\"Precision de k={ks[i]} en {nsplit}-fold : {scores_mean[i]*100:.3} ± {100*scores_std[i]:.3e}\" for i in p], sep=\"\\n\")" ] }, { "cell_type": "markdown", "id": "e8665049-38d8-4264-817f-5e0fbc214132", "metadata": {}, "source": [ "Mais attention, si les données de test n'ont pas exactement la même tête, le meilleur choix peut être différent !" ] }, { "cell_type": "code", "execution_count": 34, "id": "f17ce4de-c479-43b6-90e2-6ac0eb291ba5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.891 0.8971 0.8449 0.8109 0.7633 0.7008]\n" ] } ], "source": [ "xtrain = data\n", "ytrain = np.array([label(x) for x in data])\n", "xtest = pts\n", "ytest = np.array([label(x) for x in pts])\n", "scores = np.zeros(len(ks))\n", "for i,k in enumerate(ks):\n", " clf = KNeighborsClassifier(n_neighbors=k)\n", " clf.fit(xtrain, ytrain)\n", " scores[i]=clf.score(xtest, ytest)\n", "print(scores)" ] }, { "cell_type": "markdown", "id": "f9a2004e-3c52-426f-8bd3-5a795af2bc19", "metadata": {}, "source": [ "### Version automatisée : GridSearchCV" ] }, { "cell_type": "code", "execution_count": 35, "id": "46f47e89-f00f-4875-8fde-02b6b2893acd", "metadata": {}, "outputs": [], "source": [ "xtrain = data\n", "ytrain = labels #np.array([label(x) for x in data])\n", "xtest = pts\n", "ytest = np.array([label(x) for x in pts])" ] }, { "cell_type": "code", "execution_count": 36, "id": "93266d52-6273-484a-9dba-bc15500cdf08", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'n_neighbors': 5}\n" ] } ], "source": [ "ks = [1,2,3,5,10,20] \n", "params = {\"n_neighbors\" : ks} # la grille de paramètres\n", "knn_clf = KNeighborsClassifier()\n", "gs_clf = GridSearchCV(knn_clf, params) # la validation croisée automatique de sklearn\n", "gs_clf.fit(xtrain, ytrain) # entrainement\n", "print(gs_clf.best_params_) # Les meilleurs paramètres\n", "# print(gs_clf.cv_results_) # Les détails de la validation croisée" ] }, { "cell_type": "markdown", "id": "b23a54a9-257b-416e-a439-cd104b9d4854", "metadata": { "tags": [] }, "source": [ "## Prédiction par noyau" ] }, { "cell_type": "code", "execution_count": 37, "id": "9b1df360-1f82-4e3c-88ef-168406d8fcd1", "metadata": {}, "outputs": [], "source": [ "data, labels = anneau_bruité(10000,500)" ] }, { "cell_type": "code", "execution_count": 38, "id": "808b68db-efdc-42e0-86a9-57066f67bbf8", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.neighbors import KernelDensity\n", "clf = KernelDensity(kernel=\"gaussian\", bandwidth=0.5)\n", "clf.fit(data, np.array([label(pt) for pt in data]))\n", "trux = clf.score_samples(pts)\n", "plt.scatter(pts[:,0], pts[:,1], c=trux)\n", "plt.colorbar()" ] }, { "cell_type": "markdown", "id": "71aa6e20-349f-458b-9efa-d711d49d0195", "metadata": {}, "source": [ "Il *\"suffit\"* de se choisir un seuil pour classifier (par exemple avec une gridsearch)" ] }, { "cell_type": "markdown", "id": "b42cd5f8", "metadata": {}, "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 5 }