From cacd8e4c3a187353752c41417c6e3f7abd80809a Mon Sep 17 00:00:00 2001 From: "flyingscorpio@clevo" Date: Tue, 24 Jan 2023 13:42:51 +0100 Subject: [PATCH] Fix classification --- .../.ipynb_checkpoints/tp1-checkpoint.ipynb | 91 ++++++------------- big-data/tp1.ipynb | 91 ++++++------------- 2 files changed, 56 insertions(+), 126 deletions(-) diff --git a/big-data/.ipynb_checkpoints/tp1-checkpoint.ipynb b/big-data/.ipynb_checkpoints/tp1-checkpoint.ipynb index 379f975..40d1fed 100644 --- a/big-data/.ipynb_checkpoints/tp1-checkpoint.ipynb +++ b/big-data/.ipynb_checkpoints/tp1-checkpoint.ipynb @@ -11,12 +11,13 @@ }, { "cell_type": "code", - "execution_count": 170, + "execution_count": null, "id": "bae3ebf0", "metadata": {}, "outputs": [], "source": [ "import random\n", + "import math\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from pprint import pprint" @@ -32,7 +33,7 @@ }, { "cell_type": "code", - "execution_count": 171, + "execution_count": null, "id": "9321da00", "metadata": {}, "outputs": [], @@ -55,21 +56,10 @@ }, { "cell_type": "code", - "execution_count": 172, + "execution_count": null, "id": "c27d4e30", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# abscisses de la classe 1\n", "xpoints_1 = [item[0][0] for item in training_data if item[1] == 1]\n", @@ -95,40 +85,31 @@ }, { "cell_type": "code", - "execution_count": 173, + "execution_count": null, "id": "e30494c9", "metadata": {}, "outputs": [], "source": [ "alpha = 0.1 # multiplicateur d'apprentissage\n", - "w = [np.array([0, 0])] * len(training_data) # poids, initialisé à [0,0]\n", + "w = np.array([0, 0]) # poids, initialisé à [0,0]\n", "b = 0.5 # biais" ] }, { "cell_type": "code", - "execution_count": 174, + "execution_count": null, "id": "5a20d539", "metadata": {}, "outputs": [], "source": [ - "def threshold(z):\n", - " if z >= 0:\n", + "def sigmoid(z: float) -> float:\n", + " return 1 / (1 + math.exp(-z))\n", + "def threshold(z: float) -> int:\n", + " if z > 0:\n", " return 1\n", " return 0" ] }, - { - "cell_type": "code", - "execution_count": 175, - "id": "db4b7ec1", - "metadata": {}, - "outputs": [], - "source": [ - "def h_w(x, w):\n", - " return threshold(sum(w * x))" - ] - }, { "cell_type": "markdown", "id": "23cd667a", @@ -139,29 +120,24 @@ }, { "cell_type": "code", - "execution_count": 176, + "execution_count": null, "id": "ae5b684a", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "2\n" - ] - } - ], + "outputs": [], "source": [ - "# on continue tant qu'il y a des erreurs\n", + "# on continue tant qu'il y a des erreurs, mais maximum 100 fois\n", "has_errors = True\n", + "count = 0\n", "while has_errors:\n", + " count += 1\n", " has_errors = False\n", - " for i, (x, y) in enumerate(training_data): # i: ([x, x], y)\n", - " predicted = h_w(x, w[i])\n", - " if predicted != y:\n", + " for x, expected in training_data: # ([x, x], expected)\n", + " predicted = threshold(sum(x * w) + b)\n", + " if predicted != expected:\n", " has_errors = True\n", - " w[i] = w[i] + alpha * (y - predicted) * x\n", - "print(count)" + " w = w + alpha * (expected - predicted) * x\n", + " if count > 100:\n", + " break" ] }, { @@ -174,7 +150,7 @@ }, { "cell_type": "code", - "execution_count": 177, + "execution_count": null, "id": "8a167020", "metadata": {}, "outputs": [], @@ -197,12 +173,12 @@ }, { "cell_type": "code", - "execution_count": 178, + "execution_count": null, "id": "9e4c4567", "metadata": {}, "outputs": [], "source": [ - "predicted = [h_w(x, w[i]) for i, x in enumerate(testing_data)]" + "predicted = [threshold(sum(x * w) + b) for x in testing_data]" ] }, { @@ -215,21 +191,10 @@ }, { "cell_type": "code", - "execution_count": 179, + "execution_count": null, "id": "4630138c", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# abscisses de la classe 1\n", "xpoints_1 = [x[0] for i, x in enumerate(testing_data) if predicted[i] == 1]\n", diff --git a/big-data/tp1.ipynb b/big-data/tp1.ipynb index 379f975..40d1fed 100644 --- a/big-data/tp1.ipynb +++ b/big-data/tp1.ipynb @@ -11,12 +11,13 @@ }, { "cell_type": "code", - "execution_count": 170, + "execution_count": null, "id": "bae3ebf0", "metadata": {}, "outputs": [], "source": [ "import random\n", + "import math\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from pprint import pprint" @@ -32,7 +33,7 @@ }, { "cell_type": "code", - "execution_count": 171, + "execution_count": null, "id": "9321da00", "metadata": {}, "outputs": [], @@ -55,21 +56,10 @@ }, { "cell_type": "code", - "execution_count": 172, + "execution_count": null, "id": "c27d4e30", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# abscisses de la classe 1\n", "xpoints_1 = [item[0][0] for item in training_data if item[1] == 1]\n", @@ -95,40 +85,31 @@ }, { "cell_type": "code", - "execution_count": 173, + "execution_count": null, "id": "e30494c9", "metadata": {}, "outputs": [], "source": [ "alpha = 0.1 # multiplicateur d'apprentissage\n", - "w = [np.array([0, 0])] * len(training_data) # poids, initialisé à [0,0]\n", + "w = np.array([0, 0]) # poids, initialisé à [0,0]\n", "b = 0.5 # biais" ] }, { "cell_type": "code", - "execution_count": 174, + "execution_count": null, "id": "5a20d539", "metadata": {}, "outputs": [], "source": [ - "def threshold(z):\n", - " if z >= 0:\n", + "def sigmoid(z: float) -> float:\n", + " return 1 / (1 + math.exp(-z))\n", + "def threshold(z: float) -> int:\n", + " if z > 0:\n", " return 1\n", " return 0" ] }, - { - "cell_type": "code", - "execution_count": 175, - "id": "db4b7ec1", - "metadata": {}, - "outputs": [], - "source": [ - "def h_w(x, w):\n", - " return threshold(sum(w * x))" - ] - }, { "cell_type": "markdown", "id": "23cd667a", @@ -139,29 +120,24 @@ }, { "cell_type": "code", - "execution_count": 176, + "execution_count": null, "id": "ae5b684a", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "2\n" - ] - } - ], + "outputs": [], "source": [ - "# on continue tant qu'il y a des erreurs\n", + "# on continue tant qu'il y a des erreurs, mais maximum 100 fois\n", "has_errors = True\n", + "count = 0\n", "while has_errors:\n", + " count += 1\n", " has_errors = False\n", - " for i, (x, y) in enumerate(training_data): # i: ([x, x], y)\n", - " predicted = h_w(x, w[i])\n", - " if predicted != y:\n", + " for x, expected in training_data: # ([x, x], expected)\n", + " predicted = threshold(sum(x * w) + b)\n", + " if predicted != expected:\n", " has_errors = True\n", - " w[i] = w[i] + alpha * (y - predicted) * x\n", - "print(count)" + " w = w + alpha * (expected - predicted) * x\n", + " if count > 100:\n", + " break" ] }, { @@ -174,7 +150,7 @@ }, { "cell_type": "code", - "execution_count": 177, + "execution_count": null, "id": "8a167020", "metadata": {}, "outputs": [], @@ -197,12 +173,12 @@ }, { "cell_type": "code", - "execution_count": 178, + "execution_count": null, "id": "9e4c4567", "metadata": {}, "outputs": [], "source": [ - "predicted = [h_w(x, w[i]) for i, x in enumerate(testing_data)]" + "predicted = [threshold(sum(x * w) + b) for x in testing_data]" ] }, { @@ -215,21 +191,10 @@ }, { "cell_type": "code", - "execution_count": 179, + "execution_count": null, "id": "4630138c", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# abscisses de la classe 1\n", "xpoints_1 = [x[0] for i, x in enumerate(testing_data) if predicted[i] == 1]\n",