From ba42bd6f3bb4f0544d0763c599258e9da2170903 Mon Sep 17 00:00:00 2001 From: thuret Date: Wed, 15 Jan 2025 13:58:06 +0100 Subject: [PATCH] =?UTF-8?q?mise=20=C3=A0=20jour?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- TP02/EXOS.md | 10 + .../Exercices-checkpoint.ipynb | 57 ++++ TP03/Exercices.ipynb | 255 ++++++++++++++++++ .../Untitled-checkpoint.ipynb | 6 + TP04/Untitled.ipynb | 173 ++++++++++++ 5 files changed, 501 insertions(+) create mode 100644 TP02/EXOS.md create mode 100644 TP03/.ipynb_checkpoints/Exercices-checkpoint.ipynb create mode 100644 TP03/Exercices.ipynb create mode 100644 TP04/.ipynb_checkpoints/Untitled-checkpoint.ipynb create mode 100644 TP04/Untitled.ipynb diff --git a/TP02/EXOS.md b/TP02/EXOS.md new file mode 100644 index 0000000..c2c1b8d --- /dev/null +++ b/TP02/EXOS.md @@ -0,0 +1,10 @@ +### Exercice 3 : +- C : le criminel à un complice +- K : le criminel à la clé +- V : le criminel est en voiture + +- C => V +- (-C^-K)v(K^C) +- K + +Q = (-CvV)^ \ No newline at end of file diff --git a/TP03/.ipynb_checkpoints/Exercices-checkpoint.ipynb b/TP03/.ipynb_checkpoints/Exercices-checkpoint.ipynb new file mode 100644 index 0000000..541ea93 --- /dev/null +++ b/TP03/.ipynb_checkpoints/Exercices-checkpoint.ipynb @@ -0,0 +1,57 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Exercice 1 : Calcul de dérivées" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'sp' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[1;32mIn[1], line 3\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[38;5;28;01mimport\u001b[39;00m \u001b[38;5;21;01mnumpy\u001b[39;00m \u001b[38;5;28;01mas\u001b[39;00m \u001b[38;5;21;01mnp\u001b[39;00m \n\u001b[1;32m----> 3\u001b[0m x \u001b[38;5;241m=\u001b[39m sp\u001b[38;5;241m.\u001b[39msumbools(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mx\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[0;32m 5\u001b[0m \u001b[38;5;28mprint\u001b[39m(x)\n", + "\u001b[1;31mNameError\u001b[0m: name 'sp' is not defined" + ] + } + ], + "source": [ + "import numpy as np \n", + "\n", + "x = np.sumbools('x')\n", + "\n", + "print(x)\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "base", + "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": "3.12.7" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/TP03/Exercices.ipynb b/TP03/Exercices.ipynb new file mode 100644 index 0000000..181c449 --- /dev/null +++ b/TP03/Exercices.ipynb @@ -0,0 +1,255 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Exercice 1 : Calcul de dérivées" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Define functions\n", + "def f(x):\n", + " return 3 * x**2 - 4 * x + 5\n", + "\n", + "def g(x):\n", + " return np.sin(2 * x)\n", + "\n", + "def h(x):\n", + " return np.log(x**3)\n", + "\n", + "# Define derivatives\n", + "def f_prime(x):\n", + " return 6 * x - 4\n", + "\n", + "def g_prime(x):\n", + " return 2 * np.cos(2 * x)\n", + "\n", + "def h_prime(x):\n", + " return 3 / x\n", + "\n", + "# Define second derivatives\n", + "def f_double_prime(x):\n", + " return 6\n", + "\n", + "def g_double_prime(x):\n", + " return -4 * np.sin(2 * x)\n", + "\n", + "def h_double_prime(x):\n", + " return -3 / (x**2)\n", + "\n", + "# Find critical points (where derivative is zero)\n", + "f_crit_points = [4 / 6]\n", + "g_crit_points = [x for x in np.arange(-2*np.pi, 2*np.pi, 0.01) if np.isclose(g_prime(x), 0, atol=1e-2)]\n", + "h_crit_points = [] # No critical points for h(x) in its domain\n", + "\n", + "# Classify critical points using second derivative\n", + "f_crit_classification = \"Minima\" if f_double_prime(0) > 0 else \"Maxima\"\n", + "g_crit_classifications = [\n", + " (\"Minima\" if g_double_prime(x) > 0 else \"Maxima\") for x in g_crit_points\n", + "]\n", + "\n", + "# Plot the functions and their derivatives for visualization\n", + "x_values = np.linspace(-10, 10, 1000)\n", + "x_values_positive = np.linspace(0.1, 10, 1000) # For h(x) which is defined only for x > 0\n", + "\n", + "plt.figure(figsize=(15, 10))\n", + "\n", + "# Plot f(x)\n", + "plt.subplot(3, 1, 1)\n", + "plt.plot(x_values, f(x_values), label=\"f(x) = 3x^2 - 4x + 5\")\n", + "plt.plot(x_values, f_prime(x_values), label=\"f'(x)\", linestyle=\"--\")\n", + "plt.axhline(0, color=\"gray\", linewidth=0.5)\n", + "plt.scatter(f_crit_points, [f(x) for x in f_crit_points], color=\"red\", label=\"Critical Points\")\n", + "plt.title(\"f(x) and its derivative\")\n", + "plt.legend()\n", + "\n", + "# Plot g(x)\n", + "plt.subplot(3, 1, 2)\n", + "plt.plot(x_values, g(x_values), label=\"g(x) = sin(2x)\")\n", + "plt.plot(x_values, g_prime(x_values), label=\"g'(x)\", linestyle=\"--\")\n", + "plt.axhline(0, color=\"gray\", linewidth=0.5)\n", + "plt.scatter(g_crit_points, [g(x) for x in g_crit_points], color=\"red\", label=\"Critical Points\")\n", + "plt.title(\"g(x) and its derivative\")\n", + "plt.legend()\n", + "\n", + "# Plot h(x)\n", + "plt.subplot(3, 1, 3)\n", + "plt.plot(x_values_positive, h(x_values_positive), label=\"h(x) = ln(x^3)\")\n", + "plt.plot(x_values_positive, h_prime(x_values_positive), label=\"h'(x)\", linestyle=\"--\")\n", + "plt.axhline(0, color=\"gray\", linewidth=0.5)\n", + "plt.title(\"h(x) and its derivative\")\n", + "plt.legend()\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Define the functions and their derivatives\n", + "def f_cos(x):\n", + " return np.cos(x)\n", + "\n", + "def f_cos_prime(x):\n", + " return -np.sin(x)\n", + "\n", + "def g_sqrt(x):\n", + " return np.sqrt(x + 1)\n", + "\n", + "def g_sqrt_prime(x):\n", + " return 1 / (2 * np.sqrt(x + 1))\n", + "\n", + "# Approximation using linearization: f(a) + f'(a)(x - a)\n", + "# For f(x) = cos(x), a = 0, x = 0.1\n", + "a_f = 0\n", + "x_f = 0.1\n", + "approx_cos_0_1 = f_cos(a_f) + f_cos_prime(a_f) * (x_f - a_f)\n", + "\n", + "# For g(x) = sqrt(x + 1), a = 0.05, x = 0\n", + "a_g = 0\n", + "x_g = 0.05\n", + "approx_sqrt_1_05 = g_sqrt(a_g) + g_sqrt_prime(a_g) * (x_g - a_g)\n", + "\n", + "# Exact values\n", + "exact_cos_0_1 = np.cos(0.1)\n", + "exact_sqrt_1_05 = np.sqrt(1.05)\n", + "\n", + "# Display results\n", + "results = {\n", + " \"Function\": [\"cos(x)\", \"sqrt(x + 1)\"],\n", + " \"Approximation\": [approx_cos_0_1, approx_sqrt_1_05],\n", + " \"Exact Value\": [exact_cos_0_1, exact_sqrt_1_05],\n", + " \"Difference\": [\n", + " abs(approx_cos_0_1 - exact_cos_0_1),\n", + " abs(approx_sqrt_1_05 - exact_sqrt_1_05),\n", + " ],\n", + "}\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Reimport necessary libraries after reset\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Define the functions\n", + "def f_func(x):\n", + " return x**3 - 3 * x + 2\n", + "\n", + "def g_func(x):\n", + " return np.exp(-x) * np.sin(2 * x)\n", + "\n", + "# Numerical derivative using finite difference\n", + "def numerical_derivative(func, x, h=1e-5):\n", + " return (func(x + h) - func(x)) / h\n", + "\n", + "# Define x values for plotting\n", + "x_values = np.linspace(-2, 2, 1000)\n", + "\n", + "# Compute functions and derivatives\n", + "f_values = f_func(x_values)\n", + "g_values = g_func(x_values)\n", + "f_prime_values = numerical_derivative(f_func, x_values)\n", + "g_prime_values = numerical_derivative(g_func, x_values)\n", + "\n", + "# Plotting\n", + "plt.figure(figsize=(12, 8))\n", + "\n", + "# Plot f(x) and its derivative\n", + "plt.subplot(2, 1, 1)\n", + "plt.plot(x_values, f_values, label=\"f(x) = x^3 - 3x + 2\")\n", + "plt.plot(x_values, f_prime_values, label=\"f'(x)\", linestyle=\"--\")\n", + "plt.title(\"Function f(x) and its Derivative\")\n", + "plt.xlabel(\"x\")\n", + "plt.ylabel(\"y\")\n", + "plt.axhline(0, color=\"gray\", linewidth=0.5)\n", + "plt.grid(True)\n", + "plt.legend()\n", + "\n", + "# Plot g(x) and its derivative\n", + "plt.subplot(2, 1, 2)\n", + "plt.plot(x_values, g_values, label=\"g(x) = e^(-x) * sin(2x)\")\n", + "plt.plot(x_values, g_prime_values, label=\"g'(x)\", linestyle=\"--\")\n", + "plt.title(\"Function g(x) and its Derivative\")\n", + "plt.xlabel(\"x\")\n", + "plt.ylabel(\"y\")\n", + "plt.axhline(0, color=\"gray\", linewidth=0.5)\n", + "plt.grid(True)\n", + "plt.legend()\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "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": "3.12.7" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/TP04/.ipynb_checkpoints/Untitled-checkpoint.ipynb b/TP04/.ipynb_checkpoints/Untitled-checkpoint.ipynb new file mode 100644 index 0000000..363fcab --- /dev/null +++ b/TP04/.ipynb_checkpoints/Untitled-checkpoint.ipynb @@ -0,0 +1,6 @@ +{ + "cells": [], + "metadata": {}, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/TP04/Untitled.ipynb b/TP04/Untitled.ipynb new file mode 100644 index 0000000..f7e8927 --- /dev/null +++ b/TP04/Untitled.ipynb @@ -0,0 +1,173 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "c49056b3-e2c2-471d-b998-14eb1cd1a082", + "metadata": {}, + "source": [ + "# Exercice 1 : \n", + "Autre fonctions d'erreurs : \n", + "- Erreur résiduelle : ei = f(xi)-yi\n", + "- Erreur logarithmique : ei = log(1+|f(xi)-yi|)\n", + "- Erreur relative : ei = (f(xi)-yi)/yi\n", + "\n", + "# Exercice 2 : \n", + "Autre fonctions de couts : \n", + "- Erreur Log-Cosh, Log-Cosh est similaire à MAE pour de petites erreurs\n", + "- Erreur Huber (𝛿=1), Huber réduit l’impact des grandes erreurs\n", + "- Erreur de Poisson, Poisson est adaptée aux distributions asymétriques\n", + " " + ] + }, + { + "cell_type": "markdown", + "id": "3aa6d565-ac05-48ca-9f10-ece048a7eff2", + "metadata": {}, + "source": [ + "# Exercice 3 : \n" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "id": "d8b00644-a239-44ba-9b4c-4982e624227f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "iteration = 1\n", + "a= 50 b= 75\n", + "iteration = 2\n", + "a= -25.75309997451889 b= 74.9568945\n", + "iteration = 3\n", + "a= 13.539805289078245 b= 74.97929653630847\n", + "iteration = 4\n", + "a= -6.841306604859323 b= 74.9677200103882\n", + "iteration = 5\n", + "a= 3.730314856415273 b= 74.97376806255475\n", + "iteration = 6\n", + "a= -1.7531534482568194 b= 74.9706742990146\n", + "iteration = 7\n", + "a= 1.0911050566712879 b= 74.97232236778468\n", + "iteration = 8\n", + "a= -0.3842033063747208 b= 74.97151086236455\n", + "iteration = 9\n", + "a= 0.3810346829632343 b= 74.97197513066288\n", + "iteration = 10\n", + "a= -0.015891986938224745 b= 74.97177765894565\n", + "iteration = 11\n", + "a= 0.1899926591360049 b= 74.9719234297637\n", + "iteration = 12\n", + "a= 0.08320088730389696 b= 74.97189116168829\n", + "iteration = 13\n", + "a= 0.13859343372153637 b= 74.97195124182983\n", + "iteration = 14\n", + "a= 0.10986146169209325 b= 74.97196342120678\n", + "iteration = 15\n", + "a= 0.12476462455318163 b= 74.97200044654436\n", + "iteration = 16\n", + "a= 0.1170343740876787 b= 74.97202458433483\n", + "iteration = 17\n", + "a= 0.12104400709218902 b= 74.97205540683525\n", + "iteration = 18\n", + "a= 0.11896419782388343 b= 74.97208276197472\n", + "iteration = 19\n", + "a= 0.12004296396127893 b= 74.97211191560189\n", + "Paramètre a : 0.11948338652853815\n", + "Paramètre b : 74.97214013633689\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "\n", + "# Données d'exemple (à remplacer par vos propres données)\n", + "# xi : les valeurs d'entrée\n", + "# yi : les valeurs de sortie cibles\n", + "xi = np.array([313, 2384, 342, 420]) # Exemple\n", + "yi = np.array([124, 339, 179, 186]) # Exemple\n", + "\n", + "# Hyperparamètres\n", + "alpha = 0.000001 # Taux d'apprentissage\n", + "m = len(xi) # Nombre d'exemples\n", + "\n", + "# Initialisation des paramètres\n", + "a = 50 # Paramètre a initial\n", + "b = 75 # Paramètre b initial\n", + "\n", + "# Seuils d'arrêt\n", + "epsilon_threshold = 1e-3\n", + "\n", + "# Initialisation des erreurs\n", + "epsilon_1 = float('inf')\n", + "epsilon_2 = float('inf')\n", + "tmp = 0\n", + "\n", + "# Boucle principale\n", + "while epsilon_1 > epsilon_threshold or epsilon_2 > epsilon_threshold:\n", + " a_prev = a\n", + " b_prev = b\n", + " tmp += 1\n", + " print(\"iteration = \",tmp)\n", + " print(\"a=\",a,\" b=\",b)\n", + " \n", + "\n", + "\n", + " # Calcul des gradients et mise à jour des paramètres\n", + " b = b - alpha * (1 / m) * np.sum(a * xi + b - yi)\n", + " a = a - alpha * (1 / m) * np.sum((a * xi + b - yi) * xi)\n", + "\n", + " # Calcul des erreurs\n", + " epsilon_1 = abs(a_prev - a)\n", + " epsilon_2 = abs(b_prev - b)\n", + "\n", + "# Résultats finaux\n", + "print(f\"Paramètre a : {a}\")\n", + "print(f\"Paramètre b : {b}\")" + ] + }, + { + "cell_type": "markdown", + "id": "10a19dd5-878c-4b92-b0e1-9b3324bb3407", + "metadata": {}, + "source": [ + "| Itération | A | B |\n", + "| :--------------- |:---------------:| -----:|\n", + "| 1 | 50 | 75 |\n", + "| 9 | 0.38103 | 74.97197 |\n", + "| 19 | 0.12004 | 74.97214 |" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d86080eb-bab5-4a25-bf98-2446840313f6", + "metadata": {}, + "outputs": [], + "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": "3.12.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}